old_results: add old_results/experiment_folders/em_afp_analytic_codex

.gitattributes

@@ -80,3 +80,5 @@ old_results/experiment_folders/em_afp_analytic/results/mup_prescription/dial_out
 old_results/experiment_folders/em_afp_analytic/results/rp_r11_raw/afp-num-r11-7/out/r11ck_ce4h_broad_s0.json filter=lfs diff=lfs merge=lfs -text
 old_results/experiment_folders/em_afp_analytic/results/rp_r11_raw/afp-num-r11-8/out/r11ck_ce4h_broad_s1.json filter=lfs diff=lfs merge=lfs -text
 old_results/experiment_folders/em_afp_analytic/results/rp_r11_raw/afp-num-r11-9/out/r11ck_ce4h_broad_s2.json filter=lfs diff=lfs merge=lfs -text
+old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_factored/cbu_factored.pdf filter=lfs diff=lfs merge=lfs -text
+old_results/experiment_folders/em_afp_analytic_codex/papers/optimal_attention/optimal_attention.pdf filter=lfs diff=lfs merge=lfs -text

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_1/00README.json

@@ -0,0 +1,17 @@
+{
+   "sources" : [
+      {
+         "usage" : "toplevel",
+         "filename" : "Updated_ICML.tex"
+      },
+      {
+         "usage" : "ignore",
+         "filename" : "icml2025.bst"
+      }
+   ],
+   "spec_version" : 1,
+   "texlive_version" : "2025",
+   "process" : {
+      "compiler" : "pdflatex"
+   }
+}

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_1/Updated_ICML.bbl

@@ -0,0 +1,138 @@
+\begin{thebibliography}{24}
+\providecommand{\natexlab}[1]{#1}
+\providecommand{\url}[1]{\texttt{#1}}
+\expandafter\ifx\csname urlstyle\endcsname\relax
+  \providecommand{\doi}[1]{doi: #1}\else
+  \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi
+
+\bibitem[Bricken et~al.(2023)Bricken, Templeton, Batson, Chen, Jermyn, Conerly, Turner, Anil, Denison, Askell, Lasenby, Wu, Kravec, Schiefer, Maxwell, Joseph, Hatfield-Dodds, Tamkin, Nguyen, McLean, Burke, Hume, Carter, Henighan, and Olah]{bricken2023monosemanticity}
+Bricken, T., Templeton, A., Batson, J., Chen, B., Jermyn, A., Conerly, T., Turner, N., Anil, C., Denison, C., Askell, A., Lasenby, R., Wu, Y., Kravec, S., Schiefer, N., Maxwell, T., Joseph, N., Hatfield-Dodds, Z., Tamkin, A., Nguyen, K., McLean, B., Burke, J.~E., Hume, T., Carter, S., Henighan, T., and Olah, C.
+\newblock Towards monosemanticity: Decomposing language models with dictionary learning.
+\newblock \emph{Transformer Circuits Thread}, 2023.
+\newblock URL \url{https://transformer-circuits.pub/2023/monosemantic-features/index.html}.
+
+\bibitem[Conmy et~al.(2023)Conmy, Mavor-Parker, Lynch, Heimersheim, and Garriga-Alonso]{conmy2023automatedcircuitdiscoverymechanistic}
+Conmy, A., Mavor-Parker, A.~N., Lynch, A., Heimersheim, S., and Garriga-Alonso, A.
+\newblock Towards automated circuit discovery for mechanistic interpretability, 2023.
+\newblock URL \url{https://arxiv.org/abs/2304.14997}.
+
+\bibitem[Crutchfield(1994)]{Crutchfield94_Calculi}
+Crutchfield, J.~P.
+\newblock The calculi of emergence: Computation, dynamics, and induction.
+\newblock \emph{Physica D}, 75:\penalty0 11--54, 1994.
+
+\bibitem[Crutchfield(2012)]{Crutchfield12_Between}
+Crutchfield, J.~P.
+\newblock Between order and chaos.
+\newblock \emph{Nature Physics}, 8\penalty0 (1):\penalty0 17--24, 2012.
+
+\bibitem[Cunningham et~al.(2023)Cunningham, Ewart, Riggs, Huben, and Sharkey]{cunningham2023sae}
+Cunningham, H., Ewart, A., Riggs, L., Huben, R., and Sharkey, L.
+\newblock Sparse autoencoders find highly interpretable features in language models, 2023.
+\newblock URL \url{https://arxiv.org/abs/2309.08600}.
+
+\bibitem[Elhage et~al.(2021)Elhage, Nanda, Olsson, Henighan, Joseph, Mann, Askell, Bai, Chen, Conerly, DasSarma, Drain, Ganguli, Hatfield-Dodds, Hernandez, Jones, Kernion, Lovitt, Ndousse, Amodei, Brown, Clark, Kaplan, McCandlish, and Olah]{elhage2021mathematical}
+Elhage, N., Nanda, N., Olsson, C., Henighan, T., Joseph, N., Mann, B., Askell, A., Bai, Y., Chen, A., Conerly, T., DasSarma, N., Drain, D., Ganguli, D., Hatfield-Dodds, Z., Hernandez, D., Jones, A., Kernion, J., Lovitt, L., Ndousse, K., Amodei, D., Brown, T., Clark, J., Kaplan, J., McCandlish, S., and Olah, C.
+\newblock A mathematical framework for transformer circuits.
+\newblock \emph{Transformer Circuits Thread}, 2021.
+\newblock URL \url{https://transformer-circuits.pub/2021/framework/index.html}.
+
+\bibitem[Elhage et~al.(2022)Elhage, Hume, Olsson, Schiefer, Henighan, Kravec, Hatfield-Dodds, Lasenby, Drain, Chen, Grosse, McCandlish, Kaplan, Amodei, Wattenberg, and Olah]{elhage2022superposition}
+Elhage, N., Hume, T., Olsson, C., Schiefer, N., Henighan, T., Kravec, S., Hatfield-Dodds, Z., Lasenby, R., Drain, D., Chen, C., Grosse, R., McCandlish, S., Kaplan, J., Amodei, D., Wattenberg, M., and Olah, C.
+\newblock Toy models of superposition.
+\newblock \emph{Transformer Circuits Thread}, 2022.
+\newblock URL \url{https://transformer-circuits.pub/2022/toy_model/index.html}.
+
+\bibitem[Engels et~al.(2024)Engels, Michaud, Liao, Gurnee, and Tegmark]{Engels24_Not}
+Engels, J., Michaud, E.~J., Liao, I., Gurnee, W., and Tegmark, M.
+\newblock Not all language model features are linear.
+\newblock \emph{arXiv preprint arXiv:2405.14860}, 2024.
+
+\bibitem[Kaelbling et~al.(1998)Kaelbling, Littman, and Cassandra]{Kaelbling98_Planning}
+Kaelbling, L.~P., Littman, M.~L., and Cassandra, A.~R.
+\newblock Planning and acting in partially observable stochastic domains.
+\newblock \emph{Artificial intelligence}, 101\penalty0 (1-2):\penalty0 99--134, 1998.
+
+\bibitem[Kingma \& Ba(2017)Kingma and Ba]{kingma2017adammethodstochasticoptimization}
+Kingma, D.~P. and Ba, J.
+\newblock Adam: A method for stochastic optimization, 2017.
+\newblock URL \url{https://arxiv.org/abs/1412.6980}.
+
+\bibitem[Marks et~al.(2024)Marks, Rager, Michaud, Belinkov, Bau, and Mueller]{marks2024sparsefeaturecircuitsdiscovering}
+Marks, S., Rager, C., Michaud, E.~J., Belinkov, Y., Bau, D., and Mueller, A.
+\newblock Sparse feature circuits: Discovering and editing interpretable causal graphs in language models, 2024.
+\newblock URL \url{https://arxiv.org/abs/2403.19647}.
+
+\bibitem[Marzen \& Crutchfield(2017)Marzen and Crutchfield]{Marzen_2017}
+Marzen, S.~E. and Crutchfield, J.~P.
+\newblock Nearly maximally predictive features and their dimensions.
+\newblock \emph{Physical Review E}, 95\penalty0 (5), May 2017.
+\newblock ISSN 2470-0053.
+\newblock \doi{10.1103/physreve.95.051301}.
+\newblock URL \url{http://dx.doi.org/10.1103/PhysRevE.95.051301}.
+
+\bibitem[Nanda et~al.(2023)Nanda, Chan, Lieberum, Smith, and Steinhardt]{nanda2023mechanistic}
+Nanda, N., Chan, L., Lieberum, T., Smith, J., and Steinhardt, J.
+\newblock Progress measures for grokking via mechanistic interpretability, 2023.
+\newblock URL \url{https://arxiv.org/abs/2301.05217}.
+
+\bibitem[Park et~al.(2024)Park, Choe, and Veitch]{park2024linearrepresentationhypothesisgeometry}
+Park, K., Choe, Y.~J., and Veitch, V.
+\newblock The linear representation hypothesis and the geometry of large language models, 2024.
+\newblock URL \url{https://arxiv.org/abs/2311.03658}.
+
+\bibitem[Pepper(2024)]{Pepper24_RNNs}
+Pepper, K.
+\newblock {RNNs} represent belief state geometry in their hidden states.
+\newblock https://apartresearch.com, June 2024.
+\newblock Research submission to the {C}omputational {M}echanics {H}ackathon research sprint co-hosted by Apart, PIBBSS, and Simplex.
+
+\bibitem[Riechers \& Crutchfield(2018{\natexlab{a}})Riechers and Crutchfield]{Riec18_Beyond}
+Riechers, P.~M. and Crutchfield, J.~P.
+\newblock Beyond the spectral theorem: Decomposing arbitrary functions of nondiagonalizable operators.
+\newblock \emph{AIP Advances}, 8:\penalty0 065305, 2018{\natexlab{a}}.
+
+\bibitem[Riechers \& Crutchfield(2018{\natexlab{b}})Riechers and Crutchfield]{Riec18_SSAC1}
+Riechers, P.~M. and Crutchfield, J.~P.
+\newblock Spectral simplicity of apparent complexity, {Part I}: {The} nondiagonalizable metadynamics of prediction.
+\newblock \emph{Chaos}, 28:\penalty0 033115, 2018{\natexlab{b}}.
+\newblock \doi{10.1063/1.4985199}.
+
+\bibitem[Shai et~al.(2024)Shai, Marzen, Teixeira, Oldenziel, and Riechers]{shai2024transformersrepresentbeliefstate}
+Shai, A.~S., Marzen, S.~E., Teixeira, L., Oldenziel, A.~G., and Riechers, P.~M.
+\newblock Transformers represent belief state geometry in their residual stream.
+\newblock \emph{accepted to Advances in Neural Information Processing Systems 37 (NeurIPS 2024)}, 2024.
+\newblock URL \url{https://arxiv.org/abs/2405.15943}.
+
+\bibitem[Shalizi \& Crutchfield(2001{\natexlab{a}})Shalizi and Crutchfield]{Shalizi01_Computational}
+Shalizi, C.~R. and Crutchfield, J.~P.
+\newblock Computational mechanics: {P}attern and prediction, structure and simplicity.
+\newblock \emph{J. Stat. Phys.}, 104:\penalty0 817--879, 2001{\natexlab{a}}.
+
+\bibitem[Shalizi \& Crutchfield(2001{\natexlab{b}})Shalizi and Crutchfield]{shalizi2001computational}
+Shalizi, C.~R. and Crutchfield, J.~P.
+\newblock Computational mechanics: Pattern and prediction, structure and simplicity.
+\newblock \emph{Journal of statistical physics}, 104:\penalty0 817--879, 2001{\natexlab{b}}.
+
+\bibitem[Templeton et~al.(2024)Templeton, Conerly, Marcus, Lindsey, Bricken, Chen, Pearce, Citro, Ameisen, Jones, Cunningham, Turner, McDougall, MacDiarmid, Freeman, Sumers, Rees, Batson, Jermyn, Carter, Olah, and Henighan]{templeton2024scaling}
+Templeton, A., Conerly, T., Marcus, J., Lindsey, J., Bricken, T., Chen, B., Pearce, A., Citro, C., Ameisen, E., Jones, A., Cunningham, H., Turner, N.~L., McDougall, C., MacDiarmid, M., Freeman, C.~D., Sumers, T.~R., Rees, E., Batson, J., Jermyn, A., Carter, S., Olah, C., and Henighan, T.
+\newblock Scaling monosemanticity: Extracting interpretable features from claude 3 sonnet.
+\newblock \emph{Transformer Circuits Thread}, 2024.
+\newblock URL \url{https://transformer-circuits.pub/2024/scaling-monosemanticity/index.html}.
+
+\bibitem[Upper(1997)]{Upper97_Theory}
+Upper, D.~R.
+\newblock \emph{Theory and algorithms for hidden Markov models and generalized hidden Markov models}.
+\newblock University of California, Berkeley, 1997.
+
+\bibitem[Vaswani et~al.(2017)Vaswani, Shazeer, Parmar, Uszkoreit, Jones, Gomez, Kaiser, and Polosukhin]{vaswani2017attention}
+Vaswani, A., Shazeer, N., Parmar, N., Uszkoreit, J., Jones, L., Gomez, A., Kaiser, L., and Polosukhin, I.
+\newblock Attention is all you need.
+\newblock \emph{Advances in Neural Information Processing Systems}, 2017.
+
+\bibitem[Wang et~al.(2022)Wang, Variengien, Conmy, Shlegeris, and Steinhardt]{wang2022interpretability}
+Wang, K., Variengien, A., Conmy, A., Shlegeris, B., and Steinhardt, J.
+\newblock Interpretability in the wild: a circuit for indirect object identification in gpt-2 small, 2022.
+\newblock URL \url{https://arxiv.org/abs/2211.00593}.
+
+\end{thebibliography}

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_1/algorithm.sty

@@ -0,0 +1,79 @@
+% ALGORITHM STYLE -- Released 8 April 1996
+%    for LaTeX-2e
+% Copyright -- 1994 Peter Williams
+% E-mail Peter.Williams@dsto.defence.gov.au
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{algorithm}
+\typeout{Document Style `algorithm' - floating environment}
+
+\RequirePackage{float}
+\RequirePackage{ifthen}
+\newcommand{\ALG@within}{nothing}
+\newboolean{ALG@within}
+\setboolean{ALG@within}{false}
+\newcommand{\ALG@floatstyle}{ruled}
+\newcommand{\ALG@name}{Algorithm}
+\newcommand{\listalgorithmname}{List of \ALG@name s}
+
+% Declare Options
+% first appearance
+\DeclareOption{plain}{
+  \renewcommand{\ALG@floatstyle}{plain}
+}
+\DeclareOption{ruled}{
+  \renewcommand{\ALG@floatstyle}{ruled}
+}
+\DeclareOption{boxed}{
+  \renewcommand{\ALG@floatstyle}{boxed}
+}
+% then numbering convention
+\DeclareOption{part}{
+  \renewcommand{\ALG@within}{part}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{chapter}{
+  \renewcommand{\ALG@within}{chapter}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{section}{
+  \renewcommand{\ALG@within}{section}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{subsection}{
+  \renewcommand{\ALG@within}{subsection}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{subsubsection}{
+  \renewcommand{\ALG@within}{subsubsection}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{nothing}{
+  \renewcommand{\ALG@within}{nothing}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption*{\edef\ALG@name{\CurrentOption}}
+
+% ALGORITHM
+%
+\ProcessOptions
+\floatstyle{\ALG@floatstyle}
+\ifthenelse{\boolean{ALG@within}}{
+  \ifthenelse{\equal{\ALG@within}{part}}
+     {\newfloat{algorithm}{htbp}{loa}[part]}{}
+  \ifthenelse{\equal{\ALG@within}{chapter}}
+     {\newfloat{algorithm}{htbp}{loa}[chapter]}{}
+  \ifthenelse{\equal{\ALG@within}{section}}
+     {\newfloat{algorithm}{htbp}{loa}[section]}{}
+  \ifthenelse{\equal{\ALG@within}{subsection}}
+     {\newfloat{algorithm}{htbp}{loa}[subsection]}{}
+  \ifthenelse{\equal{\ALG@within}{subsubsection}}
+     {\newfloat{algorithm}{htbp}{loa}[subsubsection]}{}
+  \ifthenelse{\equal{\ALG@within}{nothing}}
+     {\newfloat{algorithm}{htbp}{loa}}{}
+}{
+  \newfloat{algorithm}{htbp}{loa}
+}
+\floatname{algorithm}{\ALG@name}
+
+\newcommand{\listofalgorithms}{\listof{algorithm}{\listalgorithmname}}
+

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_1/algorithmic.sty

@@ -0,0 +1,201 @@
+% ALGORITHMIC STYLE -- Released 8 APRIL 1996
+%    for LaTeX version 2e
+% Copyright -- 1994 Peter Williams
+% E-mail PeterWilliams@dsto.defence.gov.au
+%
+% Modified by Alex Smola (08/2000)
+% E-mail Alex.Smola@anu.edu.au
+%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{algorithmic}
+\typeout{Document Style `algorithmic' - environment}
+%
+\RequirePackage{ifthen}
+\RequirePackage{calc}
+\newboolean{ALC@noend}
+\setboolean{ALC@noend}{false}
+\newcounter{ALC@line}
+\newcounter{ALC@rem}
+\newlength{\ALC@tlm}
+%
+\DeclareOption{noend}{\setboolean{ALC@noend}{true}}
+%
+\ProcessOptions
+%
+% ALGORITHMIC
+\newcommand{\algorithmicrequire}{\textbf{Require:}}
+\newcommand{\algorithmicensure}{\textbf{Ensure:}}
+\newcommand{\algorithmiccomment}[1]{\{#1\}}
+\newcommand{\algorithmicend}{\textbf{end}}
+\newcommand{\algorithmicif}{\textbf{if}}
+\newcommand{\algorithmicthen}{\textbf{then}}
+\newcommand{\algorithmicelse}{\textbf{else}}
+\newcommand{\algorithmicelsif}{\algorithmicelse\ \algorithmicif}
+\newcommand{\algorithmicendif}{\algorithmicend\ \algorithmicif}
+\newcommand{\algorithmicfor}{\textbf{for}}
+\newcommand{\algorithmicforall}{\textbf{for all}}
+\newcommand{\algorithmicdo}{\textbf{do}}
+\newcommand{\algorithmicendfor}{\algorithmicend\ \algorithmicfor}
+\newcommand{\algorithmicwhile}{\textbf{while}}
+\newcommand{\algorithmicendwhile}{\algorithmicend\ \algorithmicwhile}
+\newcommand{\algorithmicloop}{\textbf{loop}}
+\newcommand{\algorithmicendloop}{\algorithmicend\ \algorithmicloop}
+\newcommand{\algorithmicrepeat}{\textbf{repeat}}
+\newcommand{\algorithmicuntil}{\textbf{until}}
+
+%changed by alex smola
+\newcommand{\algorithmicinput}{\textbf{input}}
+\newcommand{\algorithmicoutput}{\textbf{output}}
+\newcommand{\algorithmicset}{\textbf{set}}
+\newcommand{\algorithmictrue}{\textbf{true}}
+\newcommand{\algorithmicfalse}{\textbf{false}}
+\newcommand{\algorithmicand}{\textbf{and\ }}
+\newcommand{\algorithmicor}{\textbf{or\ }}
+\newcommand{\algorithmicfunction}{\textbf{function}}
+\newcommand{\algorithmicendfunction}{\algorithmicend\ \algorithmicfunction}
+\newcommand{\algorithmicmain}{\textbf{main}}
+\newcommand{\algorithmicendmain}{\algorithmicend\ \algorithmicmain}
+%end changed by alex smola
+
+\def\ALC@item[#1]{%
+\if@noparitem \@donoparitem
+  \else \if@inlabel \indent \par \fi
+         \ifhmode \unskip\unskip \par \fi
+         \if@newlist \if@nobreak \@nbitem \else
+                        \addpenalty\@beginparpenalty
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+           \else \addpenalty\@itempenalty \addvspace\itemsep
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+    \global\@inlabeltrue
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+          \if@inlabel\global\@inlabelfalse \hskip -\parindent \box\@labels
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+\sbox\@tempboxa{\makelabel{#1}}%
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+                \box\@tempboxa
+          \else \hbox to\labelwidth {\unhbox\@tempboxa}\fi
+       \hskip \ALC@tlm}\ignorespaces}
+%
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+\let\@item\ALC@item
+  \newcommand{\ALC@lno}{%
+\ifthenelse{\equal{\arabic{ALC@rem}}{0}}
+{{\footnotesize \arabic{ALC@line}:}}{}%
+}
+\let\@listii\@listi
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+    \listparindent\z@ \rightmargin\z@ 
+    \topsep\z@ \partopsep\z@ \parskip\z@\parsep\z@
+    \leftmargin 1em
+    \addtolength{\ALC@tlm}{\leftmargin}
+    }
+  }
+  {\end{list}}
+  \newcommand{\ALC@it}{\addtocounter{ALC@line}{1}\addtocounter{ALC@rem}{1}\ifthenelse{\equal{\arabic{ALC@rem}}{#1}}{\setcounter{ALC@rem}{0}}{}\item}
+  \newcommand{\ALC@com}[1]{\ifthenelse{\equal{##1}{default}}%
+{}{\ \algorithmiccomment{##1}}}
+  \newcommand{\REQUIRE}{\item[\algorithmicrequire]}
+  \newcommand{\ENSURE}{\item[\algorithmicensure]}
+  \newcommand{\STATE}{\ALC@it}
+  \newcommand{\COMMENT}[1]{\algorithmiccomment{##1}}
+%changes by alex smola
+  \newcommand{\INPUT}{\item[\algorithmicinput]}
+  \newcommand{\OUTPUT}{\item[\algorithmicoutput]}
+  \newcommand{\SET}{\item[\algorithmicset]}
+%  \newcommand{\TRUE}{\algorithmictrue}
+%  \newcommand{\FALSE}{\algorithmicfalse}
+  \newcommand{\AND}{\algorithmicand}
+  \newcommand{\OR}{\algorithmicor}
+  \newenvironment{ALC@func}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@main}{\begin{ALC@g}}{\end{ALC@g}}
+%end changes by alex smola
+  \newenvironment{ALC@if}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@for}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@whl}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@loop}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@rpt}{\begin{ALC@g}}{\end{ALC@g}}
+  \renewcommand{\\}{\@centercr}
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+\ALC@com{##1}\begin{ALC@if}}
+  \newcommand{\SHORTIF}[2]{\ALC@it\algorithmicif\ ##1\
+    \algorithmicthen\ {##2}}
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+\ALC@com{##1}\begin{ALC@if}}
+  \newcommand{\ELSIF}[2][default]%
+{\end{ALC@if}\ALC@it\algorithmicelsif\ ##2\ \algorithmicthen%
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+  \newcommand{\LOOP}[1][default]{\ALC@it\algorithmicloop%
+\ALC@com{##1}\begin{ALC@loop}}
+%changed by alex smola
+  \newcommand{\FUNCTION}[2][default]{\ALC@it\algorithmicfunction\ ##2\ %
+    \ALC@com{##1}\begin{ALC@func}}
+  \newcommand{\MAIN}[2][default]{\ALC@it\algorithmicmain\ ##2\ %
+    \ALC@com{##1}\begin{ALC@main}}
+%end changed by alex smola
+  \newcommand{\REPEAT}[1][default]{\ALC@it\algorithmicrepeat%
+    \ALC@com{##1}\begin{ALC@rpt}}
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+    \newcommand{\ENDLOOP}{\end{ALC@loop}}
+    \newcommand{\ENDFUNCTION}{\end{ALC@func}}
+    \newcommand{\ENDMAIN}{\end{ALC@main}}
+  }{
+    \newcommand{\ENDIF}{\end{ALC@if}\ALC@it\algorithmicendif}
+    \newcommand{\ENDFOR}{\end{ALC@for}\ALC@it\algorithmicendfor}
+    \newcommand{\ENDWHILE}{\end{ALC@whl}\ALC@it\algorithmicendwhile}
+    \newcommand{\ENDLOOP}{\end{ALC@loop}\ALC@it\algorithmicendloop}
+    \newcommand{\ENDFUNCTION}{\end{ALC@func}\ALC@it\algorithmicendfunction}
+    \newcommand{\ENDMAIN}{\end{ALC@main}\ALC@it\algorithmicendmain}
+  } 
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+  \begin{list}{\ALC@lno}{\setcounter{ALC@line}{0}\setcounter{ALC@rem}{0}%
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+      \partopsep\z@ \parskip\z@ \parsep\z@%
+      \labelsep 0.5em \topsep 0.2em%
+      \ifthenelse{\equal{#1}{0}}
+      {\labelwidth 0.5em }
+      {\labelwidth  1.2em }
+      \leftmargin\labelwidth \addtolength{\leftmargin}{\labelsep}
+      \ALC@tlm\labelsep
+      }
+    }
+  {\end{list}}
+
+
+
+
+
+
+
+
+
+
+
+
+
+

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_1/fancyhdr.sty

@@ -0,0 +1,485 @@
+% fancyhdr.sty version 3.2
+% Fancy headers and footers for LaTeX.
+% Piet van Oostrum, 
+% Dept of Computer and Information Sciences, University of Utrecht,
+% Padualaan 14, P.O. Box 80.089, 3508 TB Utrecht, The Netherlands
+% Telephone: +31 30 2532180. Email: piet@cs.uu.nl
+% ========================================================================
+% LICENCE:
+% This file may be distributed under the terms of the LaTeX Project Public
+% License, as described in lppl.txt in the base LaTeX distribution.
+% Either version 1 or, at your option, any later version.
+% ========================================================================
+% MODIFICATION HISTORY:
+% Sep 16, 1994
+% version 1.4: Correction for use with \reversemargin
+% Sep 29, 1994:
+% version 1.5: Added the \iftopfloat, \ifbotfloat and \iffloatpage commands
+% Oct 4, 1994:
+% version 1.6: Reset single spacing in headers/footers for use with
+% setspace.sty or doublespace.sty
+% Oct 4, 1994:
+% version 1.7: changed \let\@mkboth\markboth to
+% \def\@mkboth{\protect\markboth} to make it more robust
+% Dec 5, 1994:
+% version 1.8: corrections for amsbook/amsart: define \@chapapp and (more
+% importantly) use the \chapter/sectionmark definitions from ps@headings if
+% they exist (which should be true for all standard classes).
+% May 31, 1995:
+% version 1.9: The proposed \renewcommand{\headrulewidth}{\iffloatpage...
+% construction in the doc did not work properly with the fancyplain style. 
+% June 1, 1995:
+% version 1.91: The definition of \@mkboth wasn't restored on subsequent
+% \pagestyle{fancy}'s.
+% June 1, 1995:
+% version 1.92: The sequence \pagestyle{fancyplain} \pagestyle{plain}
+% \pagestyle{fancy} would erroneously select the plain version.
+% June 1, 1995:
+% version 1.93: \fancypagestyle command added.
+% Dec 11, 1995:
+% version 1.94: suggested by Conrad Hughes <chughes@maths.tcd.ie>
+% CJCH, Dec 11, 1995: added \footruleskip to allow control over footrule
+% position (old hardcoded value of .3\normalbaselineskip is far too high
+% when used with very small footer fonts).
+% Jan 31, 1996:
+% version 1.95: call \@normalsize in the reset code if that is defined,
+% otherwise \normalsize.
+% this is to solve a problem with ucthesis.cls, as this doesn't
+% define \@currsize. Unfortunately for latex209 calling \normalsize doesn't
+% work as this is optimized to do very little, so there \@normalsize should
+% be called. Hopefully this code works for all versions of LaTeX known to
+% mankind.  
+% April 25, 1996:
+% version 1.96: initialize \headwidth to a magic (negative) value to catch
+% most common cases that people change it before calling \pagestyle{fancy}.
+% Note it can't be initialized when reading in this file, because
+% \textwidth could be changed afterwards. This is quite probable.
+% We also switch to \MakeUppercase rather than \uppercase and introduce a
+% \nouppercase command for use in headers. and footers.
+% May 3, 1996:
+% version 1.97: Two changes:
+% 1. Undo the change in version 1.8 (using the pagestyle{headings} defaults
+% for the chapter and section marks. The current version of amsbook and
+% amsart classes don't seem to need them anymore. Moreover the standard
+% latex classes don't use \markboth if twoside isn't selected, and this is
+% confusing as \leftmark doesn't work as expected.
+% 2. include a call to \ps@empty in ps@@fancy. This is to solve a problem
+% in the amsbook and amsart classes, that make global changes to \topskip,
+% which are reset in \ps@empty. Hopefully this doesn't break other things.
+% May 7, 1996:
+% version 1.98:
+% Added % after the line  \def\nouppercase
+% May 7, 1996:
+% version 1.99: This is the alpha version of fancyhdr 2.0
+% Introduced the new commands \fancyhead, \fancyfoot, and \fancyhf.
+% Changed \headrulewidth, \footrulewidth, \footruleskip to
+% macros rather than length parameters, In this way they can be
+% conditionalized and they don't consume length registers. There is no need
+% to have them as length registers unless you want to do calculations with
+% them, which is unlikely. Note that this may make some uses of them
+% incompatible (i.e. if you have a file that uses \setlength or \xxxx=)
+% May 10, 1996:
+% version 1.99a:
+% Added a few more % signs
+% May 10, 1996:
+% version 1.99b:
+% Changed the syntax of \f@nfor to be resistent to catcode changes of :=
+% Removed the [1] from the defs of \lhead etc. because the parameter is
+% consumed by the \@[xy]lhead etc. macros.
+% June 24, 1997:
+% version 1.99c:
+% corrected \nouppercase to also include the protected form of \MakeUppercase
+% \global added to manipulation of \headwidth.
+% \iffootnote command added.
+% Some comments added about \@fancyhead and \@fancyfoot.
+% Aug 24, 1998
+% version 1.99d
+% Changed the default \ps@empty to \ps@@empty in order to allow
+% \fancypagestyle{empty} redefinition.
+% Oct 11, 2000
+% version 2.0
+% Added LPPL license clause.
+%
+% A check for \headheight is added. An errormessage is given (once) if the
+% header is too large. Empty headers don't generate the error even if
+% \headheight is very small or even 0pt. 
+% Warning added for the use of 'E' option when twoside option is not used.
+% In this case the 'E' fields will never be used.
+%
+% Mar 10, 2002
+% version 2.1beta
+% New command: \fancyhfoffset[place]{length}
+% defines offsets to be applied to the header/footer to let it stick into
+% the margins (if length > 0).
+% place is like in fancyhead, except that only E,O,L,R can be used.
+% This replaces the old calculation based on \headwidth and the marginpar
+% area.
+% \headwidth will be dynamically calculated in the headers/footers when
+% this is used.
+%
+% Mar 26, 2002
+% version 2.1beta2
+% \fancyhfoffset now also takes h,f as possible letters in the argument to
+% allow the header and footer widths to be different.
+% New commands \fancyheadoffset and \fancyfootoffset added comparable to
+% \fancyhead and \fancyfoot.
+% Errormessages and warnings have been made more informative.
+%
+% Dec 9, 2002
+% version 2.1
+% The defaults for \footrulewidth, \plainheadrulewidth and
+% \plainfootrulewidth are changed from \z@skip to 0pt. In this way when
+% someone inadvertantly uses \setlength to change any of these, the value
+% of \z@skip will not be changed, rather an errormessage will be given.
+
+% March 3, 2004
+% Release of version 3.0
+
+% Oct 7, 2004
+% version 3.1
+% Added '\endlinechar=13' to \fancy@reset to prevent problems with
+% includegraphics in header when verbatiminput is active.
+
+% March 22, 2005
+% version 3.2
+% reset \everypar (the real one) in \fancy@reset because spanish.ldf does
+% strange things with \everypar between << and >>.
+
+\def\ifancy@mpty#1{\def\temp@a{#1}\ifx\temp@a\@empty}
+
+\def\fancy@def#1#2{\ifancy@mpty{#2}\fancy@gbl\def#1{\leavevmode}\else
+                                   \fancy@gbl\def#1{#2\strut}\fi}
+
+\let\fancy@gbl\global
+
+\def\@fancyerrmsg#1{%
+        \ifx\PackageError\undefined
+        \errmessage{#1}\else
+        \PackageError{Fancyhdr}{#1}{}\fi}
+\def\@fancywarning#1{%
+        \ifx\PackageWarning\undefined
+        \errmessage{#1}\else
+        \PackageWarning{Fancyhdr}{#1}{}\fi}
+
+% Usage: \@forc \var{charstring}{command to be executed for each char}
+% This is similar to LaTeX's \@tfor, but expands the charstring.
+
+\def\@forc#1#2#3{\expandafter\f@rc\expandafter#1\expandafter{#2}{#3}}
+\def\f@rc#1#2#3{\def\temp@ty{#2}\ifx\@empty\temp@ty\else
+                                    \f@@rc#1#2\f@@rc{#3}\fi}
+\def\f@@rc#1#2#3\f@@rc#4{\def#1{#2}#4\f@rc#1{#3}{#4}}
+
+% Usage: \f@nfor\name:=list\do{body}
+% Like LaTeX's \@for but an empty list is treated as a list with an empty
+% element
+
+\newcommand{\f@nfor}[3]{\edef\@fortmp{#2}%
+    \expandafter\@forloop#2,\@nil,\@nil\@@#1{#3}}
+
+% Usage: \def@ult \cs{defaults}{argument}
+% sets \cs to the characters from defaults appearing in argument
+% or defaults if it would be empty. All characters are lowercased.
+
+\newcommand\def@ult[3]{%
+    \edef\temp@a{\lowercase{\edef\noexpand\temp@a{#3}}}\temp@a
+    \def#1{}%
+    \@forc\tmpf@ra{#2}%
+        {\expandafter\if@in\tmpf@ra\temp@a{\edef#1{#1\tmpf@ra}}{}}%
+    \ifx\@empty#1\def#1{#2}\fi}
+% 
+% \if@in <char><set><truecase><falsecase>
+%
+\newcommand{\if@in}[4]{%
+    \edef\temp@a{#2}\def\temp@b##1#1##2\temp@b{\def\temp@b{##1}}%
+    \expandafter\temp@b#2#1\temp@b\ifx\temp@a\temp@b #4\else #3\fi}
+
+\newcommand{\fancyhead}{\@ifnextchar[{\f@ncyhf\fancyhead h}%
+                                     {\f@ncyhf\fancyhead h[]}}
+\newcommand{\fancyfoot}{\@ifnextchar[{\f@ncyhf\fancyfoot f}%
+                                     {\f@ncyhf\fancyfoot f[]}}
+\newcommand{\fancyhf}{\@ifnextchar[{\f@ncyhf\fancyhf{}}%
+                                   {\f@ncyhf\fancyhf{}[]}}
+
+% New commands for offsets added
+
+\newcommand{\fancyheadoffset}{\@ifnextchar[{\f@ncyhfoffs\fancyheadoffset h}%
+                                           {\f@ncyhfoffs\fancyheadoffset h[]}}
+\newcommand{\fancyfootoffset}{\@ifnextchar[{\f@ncyhfoffs\fancyfootoffset f}%
+                                           {\f@ncyhfoffs\fancyfootoffset f[]}}
+\newcommand{\fancyhfoffset}{\@ifnextchar[{\f@ncyhfoffs\fancyhfoffset{}}%
+                                         {\f@ncyhfoffs\fancyhfoffset{}[]}}
+
+% The header and footer fields are stored in command sequences with
+% names of the form: \f@ncy<x><y><z> with <x> for [eo], <y> from [lcr]
+% and <z> from [hf].
+
+\def\f@ncyhf#1#2[#3]#4{%
+    \def\temp@c{}%
+    \@forc\tmpf@ra{#3}%
+        {\expandafter\if@in\tmpf@ra{eolcrhf,EOLCRHF}%
+            {}{\edef\temp@c{\temp@c\tmpf@ra}}}%
+    \ifx\@empty\temp@c\else
+        \@fancyerrmsg{Illegal char `\temp@c' in \string#1 argument:
+          [#3]}%
+    \fi
+    \f@nfor\temp@c{#3}%
+        {\def@ult\f@@@eo{eo}\temp@c
+         \if@twoside\else
+           \if\f@@@eo e\@fancywarning
+             {\string#1's `E' option without twoside option is useless}\fi\fi
+         \def@ult\f@@@lcr{lcr}\temp@c
+         \def@ult\f@@@hf{hf}{#2\temp@c}%
+         \@forc\f@@eo\f@@@eo
+             {\@forc\f@@lcr\f@@@lcr
+                 {\@forc\f@@hf\f@@@hf
+                     {\expandafter\fancy@def\csname
+                      f@ncy\f@@eo\f@@lcr\f@@hf\endcsname
+                      {#4}}}}}}
+
+\def\f@ncyhfoffs#1#2[#3]#4{%
+    \def\temp@c{}%
+    \@forc\tmpf@ra{#3}%
+        {\expandafter\if@in\tmpf@ra{eolrhf,EOLRHF}%
+            {}{\edef\temp@c{\temp@c\tmpf@ra}}}%
+    \ifx\@empty\temp@c\else
+        \@fancyerrmsg{Illegal char `\temp@c' in \string#1 argument:
+          [#3]}%
+    \fi
+    \f@nfor\temp@c{#3}%
+        {\def@ult\f@@@eo{eo}\temp@c
+         \if@twoside\else
+           \if\f@@@eo e\@fancywarning
+             {\string#1's `E' option without twoside option is useless}\fi\fi
+         \def@ult\f@@@lcr{lr}\temp@c
+         \def@ult\f@@@hf{hf}{#2\temp@c}%
+         \@forc\f@@eo\f@@@eo
+             {\@forc\f@@lcr\f@@@lcr
+                 {\@forc\f@@hf\f@@@hf
+                     {\expandafter\setlength\csname
+                      f@ncyO@\f@@eo\f@@lcr\f@@hf\endcsname
+                      {#4}}}}}%
+     \fancy@setoffs}
+
+% Fancyheadings version 1 commands. These are more or less deprecated,
+% but they continue to work.
+
+\newcommand{\lhead}{\@ifnextchar[{\@xlhead}{\@ylhead}}
+\def\@xlhead[#1]#2{\fancy@def\f@ncyelh{#1}\fancy@def\f@ncyolh{#2}}
+\def\@ylhead#1{\fancy@def\f@ncyelh{#1}\fancy@def\f@ncyolh{#1}}
+
+\newcommand{\chead}{\@ifnextchar[{\@xchead}{\@ychead}}
+\def\@xchead[#1]#2{\fancy@def\f@ncyech{#1}\fancy@def\f@ncyoch{#2}}
+\def\@ychead#1{\fancy@def\f@ncyech{#1}\fancy@def\f@ncyoch{#1}}
+
+\newcommand{\rhead}{\@ifnextchar[{\@xrhead}{\@yrhead}}
+\def\@xrhead[#1]#2{\fancy@def\f@ncyerh{#1}\fancy@def\f@ncyorh{#2}}
+\def\@yrhead#1{\fancy@def\f@ncyerh{#1}\fancy@def\f@ncyorh{#1}}
+
+\newcommand{\lfoot}{\@ifnextchar[{\@xlfoot}{\@ylfoot}}
+\def\@xlfoot[#1]#2{\fancy@def\f@ncyelf{#1}\fancy@def\f@ncyolf{#2}}
+\def\@ylfoot#1{\fancy@def\f@ncyelf{#1}\fancy@def\f@ncyolf{#1}}
+
+\newcommand{\cfoot}{\@ifnextchar[{\@xcfoot}{\@ycfoot}}
+\def\@xcfoot[#1]#2{\fancy@def\f@ncyecf{#1}\fancy@def\f@ncyocf{#2}}
+\def\@ycfoot#1{\fancy@def\f@ncyecf{#1}\fancy@def\f@ncyocf{#1}}
+
+\newcommand{\rfoot}{\@ifnextchar[{\@xrfoot}{\@yrfoot}}
+\def\@xrfoot[#1]#2{\fancy@def\f@ncyerf{#1}\fancy@def\f@ncyorf{#2}}
+\def\@yrfoot#1{\fancy@def\f@ncyerf{#1}\fancy@def\f@ncyorf{#1}}
+
+\newlength{\fancy@headwidth}
+\let\headwidth\fancy@headwidth
+\newlength{\f@ncyO@elh}
+\newlength{\f@ncyO@erh}
+\newlength{\f@ncyO@olh}
+\newlength{\f@ncyO@orh}
+\newlength{\f@ncyO@elf}
+\newlength{\f@ncyO@erf}
+\newlength{\f@ncyO@olf}
+\newlength{\f@ncyO@orf}
+\newcommand{\headrulewidth}{0.4pt}
+\newcommand{\footrulewidth}{0pt}
+\newcommand{\footruleskip}{.3\normalbaselineskip}
+
+% Fancyplain stuff shouldn't be used anymore (rather
+% \fancypagestyle{plain} should be used), but it must be present for
+% compatibility reasons.
+
+\newcommand{\plainheadrulewidth}{0pt}
+\newcommand{\plainfootrulewidth}{0pt}
+\newif\if@fancyplain \@fancyplainfalse
+\def\fancyplain#1#2{\if@fancyplain#1\else#2\fi}
+
+\headwidth=-123456789sp %magic constant
+
+% Command to reset various things in the headers:
+% a.o.  single spacing (taken from setspace.sty)
+% and the catcode of ^^M (so that epsf files in the header work if a
+% verbatim crosses a page boundary)
+% It also defines a \nouppercase command that disables \uppercase and
+% \Makeuppercase. It can only be used in the headers and footers.
+\let\fnch@everypar\everypar% save real \everypar because of spanish.ldf
+\def\fancy@reset{\fnch@everypar{}\restorecr\endlinechar=13
+ \def\baselinestretch{1}%
+ \def\nouppercase##1{{\let\uppercase\relax\let\MakeUppercase\relax
+     \expandafter\let\csname MakeUppercase \endcsname\relax##1}}%
+ \ifx\undefined\@newbaseline% NFSS not present; 2.09 or 2e
+   \ifx\@normalsize\undefined \normalsize % for ucthesis.cls
+   \else \@normalsize \fi
+ \else% NFSS (2.09) present
+  \@newbaseline%
+ \fi}
+
+% Initialization of the head and foot text.
+
+% The default values still contain \fancyplain for compatibility.
+\fancyhf{} % clear all
+% lefthead empty on ``plain'' pages, \rightmark on even, \leftmark on odd pages
+% evenhead empty on ``plain'' pages, \leftmark on even, \rightmark on odd pages
+\if@twoside
+  \fancyhead[el,or]{\fancyplain{}{\sl\rightmark}}
+  \fancyhead[er,ol]{\fancyplain{}{\sl\leftmark}}
+\else
+  \fancyhead[l]{\fancyplain{}{\sl\rightmark}}
+  \fancyhead[r]{\fancyplain{}{\sl\leftmark}}
+\fi
+\fancyfoot[c]{\rm\thepage} % page number
+
+% Use box 0 as a temp box and dimen 0 as temp dimen. 
+% This can be done, because this code will always
+% be used inside another box, and therefore the changes are local.
+
+\def\@fancyvbox#1#2{\setbox0\vbox{#2}\ifdim\ht0>#1\@fancywarning
+  {\string#1 is too small (\the#1): ^^J Make it at least \the\ht0.^^J
+    We now make it that large for the rest of the document.^^J
+    This may cause the page layout to be inconsistent, however\@gobble}%
+  \dimen0=#1\global\setlength{#1}{\ht0}\ht0=\dimen0\fi
+  \box0}
+
+% Put together a header or footer given the left, center and
+% right text, fillers at left and right and a rule.
+% The \lap commands put the text into an hbox of zero size,
+% so overlapping text does not generate an errormessage.
+% These macros have 5 parameters:
+% 1. LEFTSIDE BEARING % This determines at which side the header will stick
+%    out. When \fancyhfoffset is used this calculates \headwidth, otherwise
+%    it is \hss or \relax (after expansion).
+% 2. \f@ncyolh, \f@ncyelh, \f@ncyolf or \f@ncyelf. This is the left component.
+% 3. \f@ncyoch, \f@ncyech, \f@ncyocf or \f@ncyecf. This is the middle comp.
+% 4. \f@ncyorh, \f@ncyerh, \f@ncyorf or \f@ncyerf. This is the right component.
+% 5. RIGHTSIDE BEARING. This is always \relax or \hss (after expansion).
+
+\def\@fancyhead#1#2#3#4#5{#1\hbox to\headwidth{\fancy@reset
+  \@fancyvbox\headheight{\hbox
+    {\rlap{\parbox[b]{\headwidth}{\raggedright#2}}\hfill
+      \parbox[b]{\headwidth}{\centering#3}\hfill
+      \llap{\parbox[b]{\headwidth}{\raggedleft#4}}}\headrule}}#5}
+
+\def\@fancyfoot#1#2#3#4#5{#1\hbox to\headwidth{\fancy@reset
+    \@fancyvbox\footskip{\footrule
+      \hbox{\rlap{\parbox[t]{\headwidth}{\raggedright#2}}\hfill
+        \parbox[t]{\headwidth}{\centering#3}\hfill
+        \llap{\parbox[t]{\headwidth}{\raggedleft#4}}}}}#5}
+
+\def\headrule{{\if@fancyplain\let\headrulewidth\plainheadrulewidth\fi
+    \hrule\@height\headrulewidth\@width\headwidth \vskip-\headrulewidth}}
+
+\def\footrule{{\if@fancyplain\let\footrulewidth\plainfootrulewidth\fi
+    \vskip-\footruleskip\vskip-\footrulewidth
+    \hrule\@width\headwidth\@height\footrulewidth\vskip\footruleskip}}
+
+\def\ps@fancy{%
+\@ifundefined{@chapapp}{\let\@chapapp\chaptername}{}%for amsbook
+%
+% Define \MakeUppercase for old LaTeXen.
+% Note: we used \def rather than \let, so that \let\uppercase\relax (from
+% the version 1 documentation) will still work.
+%
+\@ifundefined{MakeUppercase}{\def\MakeUppercase{\uppercase}}{}%
+\@ifundefined{chapter}{\def\sectionmark##1{\markboth
+{\MakeUppercase{\ifnum \c@secnumdepth>\z@
+ \thesection\hskip 1em\relax \fi ##1}}{}}%
+\def\subsectionmark##1{\markright {\ifnum \c@secnumdepth >\@ne
+ \thesubsection\hskip 1em\relax \fi ##1}}}%
+{\def\chaptermark##1{\markboth {\MakeUppercase{\ifnum \c@secnumdepth>\m@ne
+ \@chapapp\ \thechapter. \ \fi ##1}}{}}%
+\def\sectionmark##1{\markright{\MakeUppercase{\ifnum \c@secnumdepth >\z@
+ \thesection. \ \fi ##1}}}}%
+%\csname ps@headings\endcsname % use \ps@headings defaults if they exist
+\ps@@fancy
+\gdef\ps@fancy{\@fancyplainfalse\ps@@fancy}%
+% Initialize \headwidth if the user didn't
+%
+\ifdim\headwidth<0sp
+%
+% This catches the case that \headwidth hasn't been initialized and the
+% case that the user added something to \headwidth in the expectation that
+% it was initialized to \textwidth. We compensate this now. This loses if
+% the user intended to multiply it by a factor. But that case is more
+% likely done by saying something like \headwidth=1.2\textwidth. 
+% The doc says you have to change \headwidth after the first call to
+% \pagestyle{fancy}. This code is just to catch the most common cases were
+% that requirement is violated.
+%
+    \global\advance\headwidth123456789sp\global\advance\headwidth\textwidth
+\fi}
+\def\ps@fancyplain{\ps@fancy \let\ps@plain\ps@plain@fancy}
+\def\ps@plain@fancy{\@fancyplaintrue\ps@@fancy}
+\let\ps@@empty\ps@empty
+\def\ps@@fancy{%
+\ps@@empty % This is for amsbook/amsart, which do strange things with \topskip
+\def\@mkboth{\protect\markboth}%
+\def\@oddhead{\@fancyhead\fancy@Oolh\f@ncyolh\f@ncyoch\f@ncyorh\fancy@Oorh}%
+\def\@oddfoot{\@fancyfoot\fancy@Oolf\f@ncyolf\f@ncyocf\f@ncyorf\fancy@Oorf}%
+\def\@evenhead{\@fancyhead\fancy@Oelh\f@ncyelh\f@ncyech\f@ncyerh\fancy@Oerh}%
+\def\@evenfoot{\@fancyfoot\fancy@Oelf\f@ncyelf\f@ncyecf\f@ncyerf\fancy@Oerf}%
+}
+% Default definitions for compatibility mode:
+% These cause the header/footer to take the defined \headwidth as width
+% And to shift in the direction of the marginpar area
+
+\def\fancy@Oolh{\if@reversemargin\hss\else\relax\fi}
+\def\fancy@Oorh{\if@reversemargin\relax\else\hss\fi}
+\let\fancy@Oelh\fancy@Oorh
+\let\fancy@Oerh\fancy@Oolh
+
+\let\fancy@Oolf\fancy@Oolh
+\let\fancy@Oorf\fancy@Oorh
+\let\fancy@Oelf\fancy@Oelh
+\let\fancy@Oerf\fancy@Oerh
+
+% New definitions for the use of \fancyhfoffset
+% These calculate the \headwidth from \textwidth and the specified offsets.
+
+\def\fancy@offsolh{\headwidth=\textwidth\advance\headwidth\f@ncyO@olh
+                   \advance\headwidth\f@ncyO@orh\hskip-\f@ncyO@olh}
+\def\fancy@offselh{\headwidth=\textwidth\advance\headwidth\f@ncyO@elh
+                   \advance\headwidth\f@ncyO@erh\hskip-\f@ncyO@elh}
+
+\def\fancy@offsolf{\headwidth=\textwidth\advance\headwidth\f@ncyO@olf
+                   \advance\headwidth\f@ncyO@orf\hskip-\f@ncyO@olf}
+\def\fancy@offself{\headwidth=\textwidth\advance\headwidth\f@ncyO@elf
+                   \advance\headwidth\f@ncyO@erf\hskip-\f@ncyO@elf}
+
+\def\fancy@setoffs{%
+% Just in case \let\headwidth\textwidth was used
+  \fancy@gbl\let\headwidth\fancy@headwidth
+  \fancy@gbl\let\fancy@Oolh\fancy@offsolh
+  \fancy@gbl\let\fancy@Oelh\fancy@offselh
+  \fancy@gbl\let\fancy@Oorh\hss
+  \fancy@gbl\let\fancy@Oerh\hss
+  \fancy@gbl\let\fancy@Oolf\fancy@offsolf
+  \fancy@gbl\let\fancy@Oelf\fancy@offself
+  \fancy@gbl\let\fancy@Oorf\hss
+  \fancy@gbl\let\fancy@Oerf\hss}
+
+\newif\iffootnote
+\let\latex@makecol\@makecol
+\def\@makecol{\ifvoid\footins\footnotetrue\else\footnotefalse\fi
+\let\topfloat\@toplist\let\botfloat\@botlist\latex@makecol}
+\def\iftopfloat#1#2{\ifx\topfloat\empty #2\else #1\fi}
+\def\ifbotfloat#1#2{\ifx\botfloat\empty #2\else #1\fi}
+\def\iffloatpage#1#2{\if@fcolmade #1\else #2\fi}
+
+\newcommand{\fancypagestyle}[2]{%
+  \@namedef{ps@#1}{\let\fancy@gbl\relax#2\relax\ps@fancy}}

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_1/icml2025.bst

@@ -0,0 +1,1443 @@
+%% File: `icml2025.bst'
+%% A modification of `plainnl.bst' for use with natbib package 
+%%
+%% Copyright 2010 Hal Daum\'e III
+%% Modified by J. Fürnkranz
+%% - Changed labels from (X and Y, 2000) to (X & Y, 2000)
+%% - Changed References to last name first and abbreviated first names.
+%% Modified by Iain Murray 2018 (who suggests adopting a standard .bst in future...)
+%% - Made it actually use abbreviated first names
+%%
+%% Copyright 1993-2007 Patrick W Daly
+%% Max-Planck-Institut f\"ur Sonnensystemforschung
+%% Max-Planck-Str. 2
+%% D-37191 Katlenburg-Lindau
+%% Germany
+%% E-mail: daly@mps.mpg.de
+%%
+%% This program can be redistributed and/or modified under the terms
+%% of the LaTeX Project Public License Distributed from CTAN
+%% archives in directory macros/latex/base/lppl.txt; either
+%% version 1 of the License, or any later version.
+%%
+ % Version and source file information:
+ % \ProvidesFile{icml2010.mbs}[2007/11/26 1.93 (PWD)]
+ %
+ % BibTeX `plainnat' family
+ %   version 0.99b for BibTeX versions 0.99a or later,
+ %   for LaTeX versions 2.09 and 2e.
+ %
+ % For use with the `natbib.sty' package; emulates the corresponding
+ %   member of the `plain' family, but with author-year citations.
+ %
+ % With version 6.0 of `natbib.sty', it may also be used for numerical
+ %   citations, while retaining the commands \citeauthor, \citefullauthor,
+ %   and \citeyear to print the corresponding information.
+ %
+ % For version 7.0 of `natbib.sty', the KEY field replaces missing
+ %   authors/editors, and the date is left blank in \bibitem.
+ %
+ % Includes field EID for the sequence/citation number of electronic journals
+ %  which is used instead of page numbers.
+ %
+ % Includes fields ISBN and ISSN.
+ %
+ % Includes field URL for Internet addresses.
+ %
+ % Includes field DOI for Digital Object Idenfifiers.
+ %
+ % Works best with the url.sty package of Donald Arseneau.
+ %
+ % Works with identical authors and year are further sorted by
+ %   citation key, to preserve any natural sequence.
+ %
+ENTRY
+  { address
+    author
+    booktitle
+    chapter
+    doi
+    eid
+    edition
+    editor
+    howpublished
+    institution
+    isbn
+    issn
+    journal
+    key
+    month
+    note
+    number
+    organization
+    pages
+    publisher
+    school
+    series
+    title
+    type
+    url
+    volume
+    year
+  }
+  {}
+  { label extra.label sort.label short.list }
+
+INTEGERS { output.state before.all mid.sentence after.sentence after.block }
+
+FUNCTION {init.state.consts}
+{ #0 'before.all :=
+  #1 'mid.sentence :=
+  #2 'after.sentence :=
+  #3 'after.block :=
+}
+
+STRINGS { s t }
+
+FUNCTION {output.nonnull}
+{ 's :=
+  output.state mid.sentence =
+    { ", " * write$ }
+    { output.state after.block =
+        { add.period$ write$
+          newline$
+          "\newblock " write$
+        }
+        { output.state before.all =
+            'write$
+            { add.period$ " " * write$ }
+          if$
+        }
+      if$
+      mid.sentence 'output.state :=
+    }
+  if$
+  s
+}
+
+FUNCTION {output}
+{ duplicate$ empty$
+    'pop$
+    'output.nonnull
+  if$
+}
+
+FUNCTION {output.check}
+{ 't :=
+  duplicate$ empty$
+    { pop$ "empty " t * " in " * cite$ * warning$ }
+    'output.nonnull
+  if$
+}
+
+FUNCTION {fin.entry}
+{ add.period$
+  write$
+  newline$
+}
+
+FUNCTION {new.block}
+{ output.state before.all =
+    'skip$
+    { after.block 'output.state := }
+  if$
+}
+
+FUNCTION {new.sentence}
+{ output.state after.block =
+    'skip$
+    { output.state before.all =
+        'skip$
+        { after.sentence 'output.state := }
+      if$
+    }
+  if$
+}
+
+FUNCTION {not}
+{   { #0 }
+    { #1 }
+  if$
+}
+
+FUNCTION {and}
+{   'skip$
+    { pop$ #0 }
+  if$
+}
+
+FUNCTION {or}
+{   { pop$ #1 }
+    'skip$
+  if$
+}
+
+FUNCTION {new.block.checka}
+{ empty$
+    'skip$
+    'new.block
+  if$
+}
+
+FUNCTION {new.block.checkb}
+{ empty$
+  swap$ empty$
+  and
+    'skip$
+    'new.block
+  if$
+}
+
+FUNCTION {new.sentence.checka}
+{ empty$
+    'skip$
+    'new.sentence
+  if$
+}
+
+FUNCTION {new.sentence.checkb}
+{ empty$
+  swap$ empty$
+  and
+    'skip$
+    'new.sentence
+  if$
+}
+
+FUNCTION {field.or.null}
+{ duplicate$ empty$
+    { pop$ "" }
+    'skip$
+  if$
+}
+
+FUNCTION {emphasize}
+{ duplicate$ empty$
+    { pop$ "" }
+    { "\emph{" swap$ * "}" * }
+  if$
+}
+
+INTEGERS { nameptr namesleft numnames }
+
+FUNCTION {format.names}
+{ 's :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr "{vv~}{ll}{, jj}{, f.}" format.name$ 't :=
+      nameptr #1 >
+        { namesleft #1 >
+            { ", " * t * }
+            { numnames #2 >
+                { "," * }
+                'skip$
+              if$
+              t "others" =
+                { " et~al." * }
+                { " and " * t * }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {format.key}
+{ empty$
+    { key field.or.null }
+    { "" }
+  if$
+}
+
+FUNCTION {format.authors}
+{ author empty$
+    { "" }
+    { author format.names }
+  if$
+}
+
+FUNCTION {format.editors}
+{ editor empty$
+    { "" }
+    { editor format.names
+      editor num.names$ #1 >
+        { " (eds.)" * }
+        { " (ed.)" * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.isbn}
+{ isbn empty$
+    { "" }
+    { new.block "ISBN " isbn * }
+  if$
+}
+
+FUNCTION {format.issn}
+{ issn empty$
+    { "" }
+    { new.block "ISSN " issn * }
+  if$
+}
+
+FUNCTION {format.url}
+{ url empty$
+    { "" }
+    { new.block "URL \url{" url * "}" * }
+  if$
+}
+
+FUNCTION {format.doi}
+{ doi empty$
+    { "" }
+    { new.block "\doi{" doi * "}" * }
+  if$
+}
+
+FUNCTION {format.title}
+{ title empty$
+    { "" }
+    { title "t" change.case$ }
+  if$
+}
+
+FUNCTION {format.full.names}
+{'s :=
+  #1 'nameptr :=
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    { s nameptr
+      "{vv~}{ll}" format.name$ 't :=
+      nameptr #1 >
+        {
+          namesleft #1 >
+            { ", " * t * }
+            {
+              numnames #2 >
+                { "," * }
+                'skip$
+              if$
+              t "others" =
+                { " et~al." * }
+                { " and " * t * }
+              if$
+            }
+          if$
+        }
+        't
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {author.editor.full}
+{ author empty$
+    { editor empty$
+        { "" }
+        { editor format.full.names }
+      if$
+    }
+    { author format.full.names }
+  if$
+}
+
+FUNCTION {author.full}
+{ author empty$
+    { "" }
+    { author format.full.names }
+  if$
+}
+
+FUNCTION {editor.full}
+{ editor empty$
+    { "" }
+    { editor format.full.names }
+  if$
+}
+
+FUNCTION {make.full.names}
+{ type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.full
+    { type$ "proceedings" =
+        'editor.full
+        'author.full
+      if$
+    }
+  if$
+}
+
+FUNCTION {output.bibitem}
+{ newline$
+  "\bibitem[" write$
+  label write$
+  ")" make.full.names duplicate$ short.list =
+     { pop$ }
+     { * }
+   if$
+  "]{" * write$
+  cite$ write$
+  "}" write$
+  newline$
+  ""
+  before.all 'output.state :=
+}
+
+FUNCTION {n.dashify}
+{ 't :=
+  ""
+    { t empty$ not }
+    { t #1 #1 substring$ "-" =
+        { t #1 #2 substring$ "--" = not
+            { "--" *
+              t #2 global.max$ substring$ 't :=
+            }
+            {   { t #1 #1 substring$ "-" = }
+                { "-" *
+                  t #2 global.max$ substring$ 't :=
+                }
+              while$
+            }
+          if$
+        }
+        { t #1 #1 substring$ *
+          t #2 global.max$ substring$ 't :=
+        }
+      if$
+    }
+  while$
+}
+
+FUNCTION {format.date}
+{ year duplicate$ empty$
+    { "empty year in " cite$ * warning$
+       pop$ "" }
+    'skip$
+  if$
+  month empty$
+    'skip$
+    { month
+      " " * swap$ *
+    }
+  if$
+  extra.label *
+}
+
+FUNCTION {format.btitle}
+{ title emphasize
+}
+
+FUNCTION {tie.or.space.connect}
+{ duplicate$ text.length$ #3 <
+    { "~" }
+    { " " }
+  if$
+  swap$ * *
+}
+
+FUNCTION {either.or.check}
+{ empty$
+    'pop$
+    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
+  if$
+}
+
+FUNCTION {format.bvolume}
+{ volume empty$
+    { "" }
+    { "volume" volume tie.or.space.connect
+      series empty$
+        'skip$
+        { " of " * series emphasize * }
+      if$
+      "volume and number" number either.or.check
+    }
+  if$
+}
+
+FUNCTION {format.number.series}
+{ volume empty$
+    { number empty$
+        { series field.or.null }
+        { output.state mid.sentence =
+            { "number" }
+            { "Number" }
+          if$
+          number tie.or.space.connect
+          series empty$
+            { "there's a number but no series in " cite$ * warning$ }
+            { " in " * series * }
+          if$
+        }
+      if$
+    }
+    { "" }
+  if$
+}
+
+FUNCTION {format.edition}
+{ edition empty$
+    { "" }
+    { output.state mid.sentence =
+        { edition "l" change.case$ " edition" * }
+        { edition "t" change.case$ " edition" * }
+      if$
+    }
+  if$
+}
+
+INTEGERS { multiresult }
+
+FUNCTION {multi.page.check}
+{ 't :=
+  #0 'multiresult :=
+    { multiresult not
+      t empty$ not
+      and
+    }
+    { t #1 #1 substring$
+      duplicate$ "-" =
+      swap$ duplicate$ "," =
+      swap$ "+" =
+      or or
+        { #1 'multiresult := }
+        { t #2 global.max$ substring$ 't := }
+      if$
+    }
+  while$
+  multiresult
+}
+
+FUNCTION {format.pages}
+{ pages empty$
+    { "" }
+    { pages multi.page.check
+        { "pp.\ " pages n.dashify tie.or.space.connect }
+        { "pp.\ " pages tie.or.space.connect }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.eid}
+{ eid empty$
+    { "" }
+    { "art." eid tie.or.space.connect }
+  if$
+}
+
+FUNCTION {format.vol.num.pages}
+{ volume field.or.null
+  number empty$
+    'skip$
+    { "\penalty0 (" number * ")" * *
+      volume empty$
+        { "there's a number but no volume in " cite$ * warning$ }
+        'skip$
+      if$
+    }
+  if$
+  pages empty$
+    'skip$
+    { duplicate$ empty$
+        { pop$ format.pages }
+        { ":\penalty0 " * pages n.dashify * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.vol.num.eid}
+{ volume field.or.null
+  number empty$
+    'skip$
+    { "\penalty0 (" number * ")" * *
+      volume empty$
+        { "there's a number but no volume in " cite$ * warning$ }
+        'skip$
+      if$
+    }
+  if$
+  eid empty$
+    'skip$
+    { duplicate$ empty$
+        { pop$ format.eid }
+        { ":\penalty0 " * eid * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.chapter.pages}
+{ chapter empty$
+    'format.pages
+    { type empty$
+        { "chapter" }
+        { type "l" change.case$ }
+      if$
+      chapter tie.or.space.connect
+      pages empty$
+        'skip$
+        { ", " * format.pages * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {format.in.ed.booktitle}
+{ booktitle empty$
+    { "" }
+    { editor empty$
+        { "In " booktitle emphasize * }
+        { "In " format.editors * ", " * booktitle emphasize * }
+      if$
+    }
+  if$
+}
+
+FUNCTION {empty.misc.check}
+{ author empty$ title empty$ howpublished empty$
+  month empty$ year empty$ note empty$
+  and and and and and
+  key empty$ not and
+    { "all relevant fields are empty in " cite$ * warning$ }
+    'skip$
+  if$
+}
+
+FUNCTION {format.thesis.type}
+{ type empty$
+    'skip$
+    { pop$
+      type "t" change.case$
+    }
+  if$
+}
+
+FUNCTION {format.tr.number}
+{ type empty$
+    { "Technical Report" }
+    'type
+  if$
+  number empty$
+    { "t" change.case$ }
+    { number tie.or.space.connect }
+  if$
+}
+
+FUNCTION {format.article.crossref}
+{ key empty$
+    { journal empty$
+        { "need key or journal for " cite$ * " to crossref " * crossref *
+          warning$
+          ""
+        }
+        { "In \emph{" journal * "}" * }
+      if$
+    }
+    { "In " }
+  if$
+  " \citet{" * crossref * "}" *
+}
+
+FUNCTION {format.book.crossref}
+{ volume empty$
+    { "empty volume in " cite$ * "'s crossref of " * crossref * warning$
+      "In "
+    }
+    { "Volume" volume tie.or.space.connect
+      " of " *
+    }
+  if$
+  editor empty$
+  editor field.or.null author field.or.null =
+  or
+    { key empty$
+        { series empty$
+            { "need editor, key, or series for " cite$ * " to crossref " *
+              crossref * warning$
+              "" *
+            }
+            { "\emph{" * series * "}" * }
+          if$
+        }
+        'skip$
+      if$
+    }
+    'skip$
+  if$
+  " \citet{" * crossref * "}" *
+}
+
+FUNCTION {format.incoll.inproc.crossref}
+{ editor empty$
+  editor field.or.null author field.or.null =
+  or
+    { key empty$
+        { booktitle empty$
+            { "need editor, key, or booktitle for " cite$ * " to crossref " *
+              crossref * warning$
+              ""
+            }
+            { "In \emph{" booktitle * "}" * }
+          if$
+        }
+        { "In " }
+      if$
+    }
+    { "In " }
+  if$
+  " \citet{" * crossref * "}" *
+}
+
+FUNCTION {article}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { journal emphasize "journal" output.check
+      eid empty$
+        { format.vol.num.pages output }
+        { format.vol.num.eid output }
+      if$
+      format.date "year" output.check
+    }
+    { format.article.crossref output.nonnull
+      eid empty$
+        { format.pages output }
+        { format.eid output }
+      if$
+    }
+  if$
+  format.issn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {book}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check
+      editor format.key output
+    }
+    { format.authors output.nonnull
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  new.block
+  format.btitle "title" output.check
+  crossref missing$
+    { format.bvolume output
+      new.block
+      format.number.series output
+      new.sentence
+      publisher "publisher" output.check
+      address output
+    }
+    { new.block
+      format.book.crossref output.nonnull
+    }
+  if$
+  format.edition output
+  format.date "year" output.check
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {booklet}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  new.block
+  format.title "title" output.check
+  howpublished address new.block.checkb
+  howpublished output
+  address output
+  format.date output
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {inbook}
+{ output.bibitem
+  author empty$
+    { format.editors "author and editor" output.check
+      editor format.key output
+    }
+    { format.authors output.nonnull
+      crossref missing$
+        { "author and editor" editor either.or.check }
+        'skip$
+      if$
+    }
+  if$
+  new.block
+  format.btitle "title" output.check
+  crossref missing$
+    { format.bvolume output
+      format.chapter.pages "chapter and pages" output.check
+      new.block
+      format.number.series output
+      new.sentence
+      publisher "publisher" output.check
+      address output
+    }
+    { format.chapter.pages "chapter and pages" output.check
+      new.block
+      format.book.crossref output.nonnull
+    }
+  if$
+  format.edition output
+  format.date "year" output.check
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {incollection}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      format.bvolume output
+      format.number.series output
+      format.chapter.pages output
+      new.sentence
+      publisher "publisher" output.check
+      address output
+      format.edition output
+      format.date "year" output.check
+    }
+    { format.incoll.inproc.crossref output.nonnull
+      format.chapter.pages output
+    }
+  if$
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {inproceedings}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  crossref missing$
+    { format.in.ed.booktitle "booktitle" output.check
+      format.bvolume output
+      format.number.series output
+      format.pages output
+      address empty$
+        { organization publisher new.sentence.checkb
+          organization output
+          publisher output
+          format.date "year" output.check
+        }
+        { address output.nonnull
+          format.date "year" output.check
+          new.sentence
+          organization output
+          publisher output
+        }
+      if$
+    }
+    { format.incoll.inproc.crossref output.nonnull
+      format.pages output
+    }
+  if$
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {conference} { inproceedings }
+
+FUNCTION {manual}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  new.block
+  format.btitle "title" output.check
+  organization address new.block.checkb
+  organization output
+  address output
+  format.edition output
+  format.date output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {mastersthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  "Master's thesis" format.thesis.type output.nonnull
+  school "school" output.check
+  address output
+  format.date "year" output.check
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {misc}
+{ output.bibitem
+  format.authors output
+  author format.key output
+  title howpublished new.block.checkb
+  format.title output
+  howpublished new.block.checka
+  howpublished output
+  format.date output
+  format.issn output
+  format.url output
+  new.block
+  note output
+  fin.entry
+  empty.misc.check
+}
+
+FUNCTION {phdthesis}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.btitle "title" output.check
+  new.block
+  "PhD thesis" format.thesis.type output.nonnull
+  school "school" output.check
+  address output
+  format.date "year" output.check
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {proceedings}
+{ output.bibitem
+  format.editors output
+  editor format.key output
+  new.block
+  format.btitle "title" output.check
+  format.bvolume output
+  format.number.series output
+  address output
+  format.date "year" output.check
+  new.sentence
+  organization output
+  publisher output
+  format.isbn output
+  format.doi output
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {techreport}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  format.tr.number output.nonnull
+  institution "institution" output.check
+  address output
+  format.date "year" output.check
+  format.url output
+  new.block
+  note output
+  fin.entry
+}
+
+FUNCTION {unpublished}
+{ output.bibitem
+  format.authors "author" output.check
+  author format.key output
+  new.block
+  format.title "title" output.check
+  new.block
+  note "note" output.check
+  format.date output
+  format.url output
+  fin.entry
+}
+
+FUNCTION {default.type} { misc }
+
+
+MACRO {jan} {"January"}
+
+MACRO {feb} {"February"}
+
+MACRO {mar} {"March"}
+
+MACRO {apr} {"April"}
+
+MACRO {may} {"May"}
+
+MACRO {jun} {"June"}
+
+MACRO {jul} {"July"}
+
+MACRO {aug} {"August"}
+
+MACRO {sep} {"September"}
+
+MACRO {oct} {"October"}
+
+MACRO {nov} {"November"}
+
+MACRO {dec} {"December"}
+
+
+
+MACRO {acmcs} {"ACM Computing Surveys"}
+
+MACRO {acta} {"Acta Informatica"}
+
+MACRO {cacm} {"Communications of the ACM"}
+
+MACRO {ibmjrd} {"IBM Journal of Research and Development"}
+
+MACRO {ibmsj} {"IBM Systems Journal"}
+
+MACRO {ieeese} {"IEEE Transactions on Software Engineering"}
+
+MACRO {ieeetc} {"IEEE Transactions on Computers"}
+
+MACRO {ieeetcad}
+ {"IEEE Transactions on Computer-Aided Design of Integrated Circuits"}
+
+MACRO {ipl} {"Information Processing Letters"}
+
+MACRO {jacm} {"Journal of the ACM"}
+
+MACRO {jcss} {"Journal of Computer and System Sciences"}
+
+MACRO {scp} {"Science of Computer Programming"}
+
+MACRO {sicomp} {"SIAM Journal on Computing"}
+
+MACRO {tocs} {"ACM Transactions on Computer Systems"}
+
+MACRO {tods} {"ACM Transactions on Database Systems"}
+
+MACRO {tog} {"ACM Transactions on Graphics"}
+
+MACRO {toms} {"ACM Transactions on Mathematical Software"}
+
+MACRO {toois} {"ACM Transactions on Office Information Systems"}
+
+MACRO {toplas} {"ACM Transactions on Programming Languages and Systems"}
+
+MACRO {tcs} {"Theoretical Computer Science"}
+
+
+READ
+
+FUNCTION {sortify}
+{ purify$
+  "l" change.case$
+}
+
+INTEGERS { len }
+
+FUNCTION {chop.word}
+{ 's :=
+  'len :=
+  s #1 len substring$ =
+    { s len #1 + global.max$ substring$ }
+    's
+  if$
+}
+
+FUNCTION {format.lab.names}
+{ 's :=
+  s #1 "{vv~}{ll}" format.name$
+  s num.names$ duplicate$
+  #2 >
+    { pop$ " et~al." * }
+    { #2 <
+        'skip$
+        { s #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" =
+            { " et~al." * }
+            { " \& " * s #2 "{vv~}{ll}" format.name$ * }
+          if$
+        }
+      if$
+    }
+  if$
+}
+
+FUNCTION {author.key.label}
+{ author empty$
+    { key empty$
+        { cite$ #1 #3 substring$ }
+        'key
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {author.editor.key.label}
+{ author empty$
+    { editor empty$
+        { key empty$
+            { cite$ #1 #3 substring$ }
+            'key
+          if$
+        }
+        { editor format.lab.names }
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {author.key.organization.label}
+{ author empty$
+    { key empty$
+        { organization empty$
+            { cite$ #1 #3 substring$ }
+            { "The " #4 organization chop.word #3 text.prefix$ }
+          if$
+        }
+        'key
+      if$
+    }
+    { author format.lab.names }
+  if$
+}
+
+FUNCTION {editor.key.organization.label}
+{ editor empty$
+    { key empty$
+        { organization empty$
+            { cite$ #1 #3 substring$ }
+            { "The " #4 organization chop.word #3 text.prefix$ }
+          if$
+        }
+        'key
+      if$
+    }
+    { editor format.lab.names }
+  if$
+}
+
+FUNCTION {calc.short.authors}
+{ type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.key.label
+    { type$ "proceedings" =
+        'editor.key.organization.label
+        { type$ "manual" =
+            'author.key.organization.label
+            'author.key.label
+          if$
+        }
+      if$
+    }
+  if$
+  'short.list :=
+}
+
+FUNCTION {calc.label}
+{ calc.short.authors
+  short.list
+  "("
+  *
+  year duplicate$ empty$
+  short.list key field.or.null = or
+     { pop$ "" }
+     'skip$
+  if$
+  *
+  'label :=
+}
+
+FUNCTION {sort.format.names}
+{ 's :=
+  #1 'nameptr :=
+  ""
+  s num.names$ 'numnames :=
+  numnames 'namesleft :=
+    { namesleft #0 > }
+    {
+      s nameptr "{vv{ } }{ll{ }}{  f{ }}{  jj{ }}" format.name$ 't :=
+      nameptr #1 >
+        {
+          "   "  *
+          namesleft #1 = t "others" = and
+            { "zzzzz" * }
+            { numnames #2 > nameptr #2 = and
+                { "zz" * year field.or.null * "   " * }
+                'skip$
+              if$
+              t sortify *
+            }
+          if$
+        }
+        { t sortify * }
+      if$
+      nameptr #1 + 'nameptr :=
+      namesleft #1 - 'namesleft :=
+    }
+  while$
+}
+
+FUNCTION {sort.format.title}
+{ 't :=
+  "A " #2
+    "An " #3
+      "The " #4 t chop.word
+    chop.word
+  chop.word
+  sortify
+  #1 global.max$ substring$
+}
+
+FUNCTION {author.sort}
+{ author empty$
+    { key empty$
+        { "to sort, need author or key in " cite$ * warning$
+          ""
+        }
+        { key sortify }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+
+FUNCTION {author.editor.sort}
+{ author empty$
+    { editor empty$
+        { key empty$
+            { "to sort, need author, editor, or key in " cite$ * warning$
+              ""
+            }
+            { key sortify }
+          if$
+        }
+        { editor sort.format.names }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+
+FUNCTION {author.organization.sort}
+{ author empty$
+    { organization empty$
+        { key empty$
+            { "to sort, need author, organization, or key in " cite$ * warning$
+              ""
+            }
+            { key sortify }
+          if$
+        }
+        { "The " #4 organization chop.word sortify }
+      if$
+    }
+    { author sort.format.names }
+  if$
+}
+
+FUNCTION {editor.organization.sort}
+{ editor empty$
+    { organization empty$
+        { key empty$
+            { "to sort, need editor, organization, or key in " cite$ * warning$
+              ""
+            }
+            { key sortify }
+          if$
+        }
+        { "The " #4 organization chop.word sortify }
+      if$
+    }
+    { editor sort.format.names }
+  if$
+}
+
+
+FUNCTION {presort}
+{ calc.label
+  label sortify
+  "    "
+  *
+  type$ "book" =
+  type$ "inbook" =
+  or
+    'author.editor.sort
+    { type$ "proceedings" =
+        'editor.organization.sort
+        { type$ "manual" =
+            'author.organization.sort
+            'author.sort
+          if$
+        }
+      if$
+    }
+  if$
+  "    "
+  *
+  year field.or.null sortify
+  *
+  "    "
+  *
+  cite$
+  *
+  #1 entry.max$ substring$
+  'sort.label :=
+  sort.label *
+  #1 entry.max$ substring$
+  'sort.key$ :=
+}
+
+ITERATE {presort}
+
+SORT
+
+STRINGS { longest.label last.label next.extra }
+
+INTEGERS { longest.label.width last.extra.num number.label }
+
+FUNCTION {initialize.longest.label}
+{ "" 'longest.label :=
+  #0 int.to.chr$ 'last.label :=
+  "" 'next.extra :=
+  #0 'longest.label.width :=
+  #0 'last.extra.num :=
+  #0 'number.label :=
+}
+
+FUNCTION {forward.pass}
+{ last.label label =
+    { last.extra.num #1 + 'last.extra.num :=
+      last.extra.num int.to.chr$ 'extra.label :=
+    }
+    { "a" chr.to.int$ 'last.extra.num :=
+      "" 'extra.label :=
+      label 'last.label :=
+    }
+  if$
+  number.label #1 + 'number.label :=
+}
+
+FUNCTION {reverse.pass}
+{ next.extra "b" =
+    { "a" 'extra.label := }
+    'skip$
+  if$
+  extra.label 'next.extra :=
+  extra.label
+  duplicate$ empty$
+    'skip$
+    { "{\natexlab{" swap$ * "}}" * }
+  if$
+  'extra.label :=
+  label extra.label * 'label :=
+}
+
+EXECUTE {initialize.longest.label}
+
+ITERATE {forward.pass}
+
+REVERSE {reverse.pass}
+
+FUNCTION {bib.sort.order}
+{ sort.label  'sort.key$ :=
+}
+
+ITERATE {bib.sort.order}
+
+SORT
+
+FUNCTION {begin.bib}
+{   preamble$ empty$
+    'skip$
+    { preamble$ write$ newline$ }
+  if$
+  "\begin{thebibliography}{" number.label int.to.str$ * "}" *
+  write$ newline$
+  "\providecommand{\natexlab}[1]{#1}"
+  write$ newline$
+  "\providecommand{\url}[1]{\texttt{#1}}"
+  write$ newline$
+  "\expandafter\ifx\csname urlstyle\endcsname\relax"
+  write$ newline$
+  "  \providecommand{\doi}[1]{doi: #1}\else"
+  write$ newline$
+  "  \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi"
+  write$ newline$
+}
+
+EXECUTE {begin.bib}
+
+EXECUTE {init.state.consts}
+
+ITERATE {call.type$}
+
+FUNCTION {end.bib}
+{ newline$
+  "\end{thebibliography}" write$ newline$
+}
+
+EXECUTE {end.bib}

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_1/icml2025.sty

@@ -0,0 +1,807 @@
+% File: icml2025.sty (LaTeX style file for ICML-2025, version of 2023-11-23)
+
+% This file contains the LaTeX formatting parameters for a two-column
+% conference proceedings that is 8.5 inches wide by 11 inches high.
+%
+% Modified by Tegan Maharaj and Felix Berkenkamp 2025: changed years, volume, location
+%
+% Modified by Jonathan Scarlett 2024: changed years, volume, location
+%
+% Modified by Sivan Sabato 2023: changed years and volume number.
+% Modified by Jonathan Scarlett 2023: added page numbers to every page
+%
+% Modified by Csaba Szepesvari 2022: changed years, PMLR ref. Turned off checking marginparwidth
+%     as marginparwidth only controls the space available for margin notes and margin notes
+%     will NEVER be used anyways in submitted versions, so there is no reason one should
+%     check whether marginparwidth has been tampered with.
+%     Also removed pdfview=FitH from hypersetup as it did not do its job; the default choice is a bit better
+%     but of course the double-column format is not supported by this hyperlink preview functionality
+%     in a completely satisfactory fashion.
+% Modified by Gang Niu 2022: Changed color to xcolor
+%
+% Modified by Iain Murray 2018: changed years, location. Remove affiliation notes when anonymous.
+%     Move times dependency from .tex to .sty so fewer people delete it.
+%
+% Modified by Daniel Roy 2017: changed byline to use footnotes for affiliations, and removed emails
+%
+% Modified by Percy Liang 12/2/2013: changed the year, location from the previous template for ICML 2014
+
+% Modified by Fei Sha 9/2/2013: changed the year, location form the previous template for ICML 2013
+%
+% Modified by Fei Sha 4/24/2013: (1) remove the extra whitespace after the first author's email address (in %the camera-ready version) (2) change the Proceeding ... of ICML 2010 to 2014 so PDF's metadata will show up % correctly
+%
+% Modified by Sanjoy Dasgupta, 2013: changed years, location
+%
+% Modified by Francesco Figari, 2012: changed years, location
+%
+% Modified by Christoph Sawade and Tobias Scheffer, 2011: added line
+% numbers, changed years
+%
+% Modified by Hal Daume III, 2010: changed years, added hyperlinks
+%
+% Modified by Kiri Wagstaff, 2009: changed years
+%
+% Modified by Sam Roweis, 2008: changed years
+%
+% Modified by Ricardo Silva, 2007: update of the ifpdf verification
+%
+% Modified by Prasad Tadepalli and Andrew Moore, merely changing years.
+%
+% Modified by Kristian Kersting, 2005, based on Jennifer Dy's 2004 version
+% - running title. If the original title is to long or is breaking a line,
+%   use \icmltitlerunning{...} in the preamble to supply a shorter form.
+%   Added fancyhdr package to get a running head.
+% - Updated to store the page size because pdflatex does compile the
+%   page size into the pdf.
+%
+% Hacked by Terran Lane, 2003:
+% - Updated to use LaTeX2e style file conventions (ProvidesPackage,
+%   etc.)
+% - Added an ``appearing in'' block at the base of the first column
+%   (thus keeping the ``appearing in'' note out of the bottom margin
+%   where the printer should strip in the page numbers).
+% - Added a package option [accepted] that selects between the ``Under
+%   review'' notice (default, when no option is specified) and the
+%   ``Appearing in'' notice (for use when the paper has been accepted
+%   and will appear).
+%
+%   Originally created as:  ml2k.sty (LaTeX style file for ICML-2000)
+%   by P. Langley (12/23/99)
+
+%%%%%%%%%%%%%%%%%%%%
+%% This version of the style file supports both a ``review'' version
+%% and a ``final/accepted'' version.  The difference is only in the
+%% text that appears in the note at the bottom of the first column of
+%% the first page.  The default behavior is to print a note to the
+%% effect that the paper is under review and don't distribute it.  The
+%% final/accepted version prints an ``Appearing in'' note.  To get the
+%% latter behavior, in the calling file change the ``usepackage'' line
+%% from:
+%%	\usepackage{icml2025}
+%% to
+%%	\usepackage[accepted]{icml2025}
+%%%%%%%%%%%%%%%%%%%%
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{icml2025}[2023/11/23 v2.0 ICML Conference Style File]
+
+% Before 2018, \usepackage{times} was in the example TeX, but inevitably
+% not everybody did it.
+\RequirePackage{times}
+
+% Use fancyhdr package
+\RequirePackage{fancyhdr}
+\RequirePackage{xcolor} % changed from color to xcolor (2021/11/24)
+\RequirePackage{algorithm}
+\RequirePackage{algorithmic}
+\RequirePackage{natbib}
+\RequirePackage{eso-pic} % used by \AddToShipoutPicture
+\RequirePackage{forloop}
+\RequirePackage{url}
+
+%%%%%%%% Options
+\DeclareOption{accepted}{%
+  \renewcommand{\Notice@String}{\ICML@appearing}
+  \gdef\isaccepted{1}
+}
+
+\DeclareOption{nohyperref}{%
+  \gdef\nohyperref{1}
+}
+
+
+
+%%%%%%%%%%%%%%%%%%%%
+% This string is printed at the bottom of the page for the
+% final/accepted version of the ``appearing in'' note.  Modify it to
+% change that text.
+%%%%%%%%%%%%%%%%%%%%
+\newcommand{\ICML@appearing}{\textit{Proceedings of the
+$\mathit{42}^{nd}$ International Conference on Machine Learning},
+Vancouver, Canada. PMLR 267, 2025.
+Copyright 2025 by the author(s).}
+
+%%%%%%%%%%%%%%%%%%%%
+% This string is printed at the bottom of the page for the draft/under
+% review version of the ``appearing in'' note.  Modify it to change
+% that text.
+%%%%%%%%%%%%%%%%%%%%
+\newcommand{\Notice@String}{Preliminary work.  Under review by the
+International Conference on Machine Learning (ICML)\@.  Do not distribute.}
+
+% Cause the declared options to actually be parsed and activated
+\ProcessOptions\relax
+
+\ifdefined\isaccepted\else\ifdefined\hypersetup
+    \hypersetup{pdfauthor={Anonymous Authors}}
+ \fi
+\fi
+
+\ifdefined\nohyperref\else\ifdefined\hypersetup
+  \definecolor{mydarkblue}{rgb}{0,0.08,0.45}
+  \hypersetup{ %
+    pdftitle={},
+    pdfsubject={Proceedings of the International Conference on Machine Learning 2025},
+    pdfkeywords={},
+    pdfborder=0 0 0,
+    pdfpagemode=UseNone,
+    colorlinks=true,
+    linkcolor=mydarkblue,
+    citecolor=mydarkblue,
+    filecolor=mydarkblue,
+    urlcolor=mydarkblue,
+    }
+
+ 
+  \fi
+\fi
+
+
+
+% Uncomment the following for debugging.  It will cause LaTeX to dump
+% the version of the ``appearing in'' string that will actually appear
+% in the document.
+%\typeout{>> Notice string='\Notice@String'}
+
+% Change citation commands to be more like old ICML styles
+\newcommand{\yrcite}[1]{\citeyearpar{#1}}
+\renewcommand{\cite}[1]{\citep{#1}}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% to ensure the letter format is used. pdflatex does compile the
+% page size into the pdf. This is done using \pdfpagewidth and
+% \pdfpageheight. As Latex does not know this directives, we first
+% check whether pdflatex or latex is used.
+%
+% Kristian Kersting 2005
+%
+% in order to account for the more recent use of pdfetex as the default
+% compiler, I have changed the pdf verification.
+%
+% Ricardo Silva 2007
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\paperwidth=8.5in
+\paperheight=11in
+
+% old PDFLaTex verification, circa 2005
+%
+%\newif\ifpdf\ifx\pdfoutput\undefined
+%  \pdffalse % we are not running PDFLaTeX
+%\else
+%  \pdfoutput=1 % we are running PDFLaTeX
+%  \pdftrue
+%\fi
+
+\newif\ifpdf %adapted from ifpdf.sty
+\ifx\pdfoutput\undefined
+\else
+   \ifx\pdfoutput\relax
+   \else
+     \ifcase\pdfoutput
+     \else
+       \pdftrue
+     \fi
+   \fi
+\fi
+
+\ifpdf
+%    \pdfpagewidth=\paperwidth
+%    \pdfpageheight=\paperheight
+  \setlength{\pdfpagewidth}{8.5in}
+  \setlength{\pdfpageheight}{11in}
+\fi
+
+% Physical page layout
+
+\evensidemargin -0.23in
+\oddsidemargin -0.23in
+\setlength\textheight{9.0in}
+\setlength\textwidth{6.75in}
+\setlength\columnsep{0.25in}
+\setlength\headheight{10pt}
+\setlength\headsep{10pt}
+\addtolength{\topmargin}{-20pt}
+\addtolength{\topmargin}{-0.29in}
+
+% Historically many authors tried to include packages like geometry or fullpage,
+% which change the page layout. It either makes the proceedings inconsistent, or
+% wastes organizers' time chasing authors. So let's nip these problems in the
+% bud here. -- Iain Murray 2018.
+%\RequirePackage{printlen}
+\AtBeginDocument{%
+% To get the numbers below, include printlen package above and see lengths like this:
+%\printlength\oddsidemargin\\
+%\printlength\headheight\\
+%\printlength\textheight\\
+%\printlength\marginparsep\\
+%\printlength\footskip\\
+%\printlength\hoffset\\
+%\printlength\paperwidth\\
+%\printlength\topmargin\\
+%\printlength\headsep\\
+%\printlength\textwidth\\
+%\printlength\marginparwidth\\
+%\printlength\marginparpush\\
+%\printlength\voffset\\
+%\printlength\paperheight\\
+%
+\newif\ifmarginsmessedwith
+\marginsmessedwithfalse
+\ifdim\oddsidemargin=-16.62178pt     \else oddsidemargin has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\headheight=10.0pt             \else headheight has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\textheight=650.43pt           \else textheight has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\marginparsep=11.0pt           \else marginparsep has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\footskip=25.0pt                \else footskip has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\hoffset=0.0pt                 \else hoffset has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\paperwidth=614.295pt          \else paperwidth has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\topmargin=-24.95781pt         \else topmargin has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\headsep=10.0pt                \else headsep has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\textwidth=487.8225pt          \else textwidth has been altered.\\ \marginsmessedwithtrue\fi
+%\ifdim\marginparwidth=65.0pt         \else marginparwidth has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\marginparpush=5.0pt           \else marginparpush has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\voffset=0.0pt                 \else voffset has been altered.\\ \marginsmessedwithtrue\fi
+\ifdim\paperheight=794.96999pt       \else paperheight has been altered.\\ \marginsmessedwithtrue\fi
+\ifmarginsmessedwith
+
+\textbf{\large \em The page layout violates the ICML style.}
+
+Please do not change the page layout, or include packages like geometry,
+savetrees, or fullpage, which change it for you.
+
+We're not able to reliably undo arbitrary changes to the style. Please remove
+the offending package(s), or layout-changing commands and try again.
+
+\fi}
+
+
+%% The following is adapted from code in the acmconf.sty conference
+%% style file.  The constants in it are somewhat magical, and appear
+%% to work well with the two-column format on US letter paper that
+%% ICML uses, but will break if you change that layout, or if you use
+%% a longer block of text for the copyright notice string.  Fiddle with
+%% them if necessary to get the block to fit/look right.
+%%
+%% -- Terran Lane, 2003
+%%
+%% The following comments are included verbatim from acmconf.sty:
+%%
+%%% This section (written by KBT) handles the 1" box in the lower left
+%%% corner of the left column of the first page by creating a picture,
+%%% and inserting the predefined string at the bottom (with a negative
+%%% displacement to offset the space allocated for a non-existent
+%%% caption).
+%%%
+\def\ftype@copyrightbox{8}
+\def\@copyrightspace{
+% Create a float object positioned at the bottom of the column.  Note
+% that because of the mystical nature of floats, this has to be called
+% before the first column is populated with text (e.g., from the title
+% or abstract blocks).  Otherwise, the text will force the float to
+% the next column.  -- TDRL.
+\@float{copyrightbox}[b]
+\begin{center}
+\setlength{\unitlength}{1pc}
+\begin{picture}(20,1.5)
+% Create a line separating the main text from the note block.
+% 4.818pc==0.8in.
+\put(0,2.5){\line(1,0){4.818}}
+% Insert the text string itself.  Note that the string has to be
+% enclosed in a parbox -- the \put call needs a box object to
+% position.  Without the parbox, the text gets splattered across the
+% bottom of the page semi-randomly.  The 19.75pc distance seems to be
+% the width of the column, though I can't find an appropriate distance
+% variable to substitute here.  -- TDRL.
+\put(0,0){\parbox[b]{19.75pc}{\small \Notice@String}}
+\end{picture}
+\end{center}
+\end@float}
+
+% Note: A few Latex versions need the next line instead of the former.
+% \addtolength{\topmargin}{0.3in}
+% \setlength\footheight{0pt}
+\setlength\footskip{25.0pt}
+%\pagestyle{empty}
+\flushbottom \twocolumn
+\sloppy
+
+% Clear out the addcontentsline command
+\def\addcontentsline#1#2#3{}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% commands for formatting paper title, author names, and addresses.
+
+%%start%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%% title as running head -- Kristian Kersting 2005 %%%%%%%%%%%%%
+
+
+%\makeatletter
+%\newtoks\mytoksa
+%\newtoks\mytoksb
+%\newcommand\addtomylist[2]{%
+%  \mytoksa\expandafter{#1}%
+%  \mytoksb{#2}%
+%  \edef#1{\the\mytoksa\the\mytoksb}%
+%}
+%\makeatother
+
+% box to check the size of the running head
+\newbox\titrun
+
+% general page style
+\pagestyle{fancy}
+\fancyhf{}
+\fancyhead{}
+\fancyfoot{}
+\cfoot{\thepage}
+% set the width of the head rule to 1 point
+\renewcommand{\headrulewidth}{1pt}
+
+% definition to set the head as running head in the preamble
+\def\icmltitlerunning#1{\gdef\@icmltitlerunning{#1}}
+
+% main definition adapting \icmltitle from 2004
+\long\def\icmltitle#1{%
+
+   %check whether @icmltitlerunning exists
+   % if not \icmltitle is used as running head
+   \ifx\undefined\@icmltitlerunning%
+	\gdef\@icmltitlerunning{#1}
+   \fi
+
+   %add it to pdf information
+  \ifdefined\nohyperref\else\ifdefined\hypersetup
+     \hypersetup{pdftitle={#1}}
+   \fi\fi
+
+   %get the dimension of the running title
+   \global\setbox\titrun=\vbox{\small\bf\@icmltitlerunning}
+
+   % error flag
+   \gdef\@runningtitleerror{0}
+
+   % running title too long
+   \ifdim\wd\titrun>\textwidth%
+	  {\gdef\@runningtitleerror{1}}%
+   % running title breaks a line
+   \else\ifdim\ht\titrun>6.25pt
+	   {\gdef\@runningtitleerror{2}}%
+	\fi
+   \fi
+
+   % if there is somthing wrong with the running title
+   \ifnum\@runningtitleerror>0
+	   \typeout{}%
+           \typeout{}%
+           \typeout{*******************************************************}%
+           \typeout{Title exceeds size limitations for running head.}%
+           \typeout{Please supply a shorter form for the running head}
+           \typeout{with \string\icmltitlerunning{...}\space prior to \string\begin{document}}%
+           \typeout{*******************************************************}%
+ 	    \typeout{}%
+           \typeout{}%
+           % set default running title
+	   \chead{\small\bf Title Suppressed Due to Excessive Size}%
+    \else
+	   % 'everything' fine, set provided running title
+  	   \chead{\small\bf\@icmltitlerunning}%
+    \fi
+
+  % no running title on the first page of the paper
+  \thispagestyle{plain}
+
+%%%%%%%%%%%%%%%%%%%% Kristian Kersting %%%%%%%%%%%%%%%%%%%%%%%%%
+%end%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+  {\center\baselineskip 18pt
+                       \toptitlebar{\Large\bf #1}\bottomtitlebar}
+}
+
+
+\gdef\icmlfullauthorlist{}
+\newcommand\addstringtofullauthorlist{\g@addto@macro\icmlfullauthorlist}
+\newcommand\addtofullauthorlist[1]{%
+  \ifdefined\icmlanyauthors%
+    \addstringtofullauthorlist{, #1}%
+  \else%
+    \addstringtofullauthorlist{#1}%
+    \gdef\icmlanyauthors{1}%
+  \fi%
+%  \ifdefined\nohyperref\else
+  \ifdefined\hypersetup%
+    \hypersetup{pdfauthor=\icmlfullauthorlist}%
+    \fi%\fi
+  }
+
+
+\def\toptitlebar{\hrule height1pt \vskip .25in}
+\def\bottomtitlebar{\vskip .22in \hrule height1pt \vskip .3in}
+
+\newenvironment{icmlauthorlist}{%
+  \setlength\topsep{0pt}
+  \setlength\parskip{0pt}
+  \begin{center}
+}{%
+  \end{center}
+}
+
+\newcounter{@affiliationcounter}
+\newcommand{\@pa}[1]{%
+% ``#1''
+\ifcsname the@affil#1\endcsname
+   % do nothing
+\else
+  \ifcsname @icmlsymbol#1\endcsname
+    % nothing
+  \else
+  \stepcounter{@affiliationcounter}%
+  \newcounter{@affil#1}%
+  \setcounter{@affil#1}{\value{@affiliationcounter}}%
+  \fi
+\fi%
+\ifcsname @icmlsymbol#1\endcsname
+  \textsuperscript{\csname @icmlsymbol#1\endcsname\,}%
+\else
+  %\expandafter\footnotemark[\arabic{@affil#1}\,]%
+  \textsuperscript{\arabic{@affil#1}\,}%
+\fi
+}
+
+%\newcommand{\icmlauthor}[2]{%
+%\addtofullauthorlist{#1}%
+%#1\@for\theaffil:=#2\do{\pa{\theaffil}}%
+%}
+\newcommand{\icmlauthor}[2]{%
+  \ifdefined\isaccepted
+    \mbox{\bf #1}\,\@for\theaffil:=#2\do{\@pa{\theaffil}} \addtofullauthorlist{#1}%
+   \else
+    \ifdefined\@icmlfirsttime
+    \else
+      \gdef\@icmlfirsttime{1}
+      \mbox{\bf Anonymous Authors}\@pa{@anon} \addtofullauthorlist{Anonymous Authors}
+     \fi
+    \fi
+}
+
+
+
+
+\newcommand{\icmlsetsymbol}[2]{%
+  \expandafter\gdef\csname @icmlsymbol#1\endcsname{#2}
+ }
+
+
+\newcommand{\icmlaffiliation}[2]{%
+\ifdefined\isaccepted
+\ifcsname the@affil#1\endcsname
+ \expandafter\gdef\csname @affilname\csname the@affil#1\endcsname\endcsname{#2}%
+\else
+  {\bf AUTHORERR: Error in use of \textbackslash{}icmlaffiliation command. Label ``#1'' not mentioned in some \textbackslash{}icmlauthor\{author name\}\{labels here\} command beforehand. }
+  \typeout{}%
+  \typeout{}%
+  \typeout{*******************************************************}%
+  \typeout{Affiliation label undefined. }%
+  \typeout{Make sure \string\icmlaffiliation\space follows }
+  \typeout{all of \string\icmlauthor\space commands}%
+  \typeout{*******************************************************}%
+  \typeout{}%
+  \typeout{}%
+\fi
+\else % \isaccepted
+ % can be called multiple times... it's idempotent
+ \expandafter\gdef\csname @affilname1\endcsname{Anonymous Institution, Anonymous City, Anonymous Region, Anonymous Country}
+\fi
+}
+
+\newcommand{\icmlcorrespondingauthor}[2]{
+\ifdefined\isaccepted
+ \ifdefined\icmlcorrespondingauthor@text
+   \g@addto@macro\icmlcorrespondingauthor@text{, #1 \textless{}#2\textgreater{}}
+ \else
+   \gdef\icmlcorrespondingauthor@text{#1 \textless{}#2\textgreater{}}
+ \fi
+\else
+\gdef\icmlcorrespondingauthor@text{Anonymous Author \textless{}anon.email@domain.com\textgreater{}}
+\fi
+}
+
+\newcommand{\icmlEqualContribution}{\textsuperscript{*}Equal contribution }
+
+\newcounter{@affilnum}
+\newcommand{\printAffiliationsAndNotice}[1]{%
+\stepcounter{@affiliationcounter}%
+{\let\thefootnote\relax\footnotetext{\hspace*{-\footnotesep}\ifdefined\isaccepted #1\fi%
+\forloop{@affilnum}{1}{\value{@affilnum} < \value{@affiliationcounter}}{
+\textsuperscript{\arabic{@affilnum}}\ifcsname @affilname\the@affilnum\endcsname%
+\csname @affilname\the@affilnum\endcsname%
+\else
+{\bf AUTHORERR: Missing \textbackslash{}icmlaffiliation.}
+\fi
+}.
+\ifdefined\icmlcorrespondingauthor@text
+Correspondence to: \icmlcorrespondingauthor@text.
+\else
+{\bf AUTHORERR: Missing \textbackslash{}icmlcorrespondingauthor.}
+\fi
+
+\ \\
+\Notice@String
+}
+}
+}
+
+%\makeatother
+
+\long\def\icmladdress#1{%
+ {\bf The \textbackslash{}icmladdress command is no longer used.  See the example\_paper PDF .tex for usage of \textbackslash{}icmlauther and \textbackslash{}icmlaffiliation.}
+}
+
+%% keywords as first class citizens
+\def\icmlkeywords#1{%
+%  \ifdefined\isaccepted \else
+%    \par {\bf Keywords:} #1%
+%  \fi
+%  \ifdefined\nohyperref\else\ifdefined\hypersetup
+%    \hypersetup{pdfkeywords={#1}}
+%  \fi\fi
+%  \ifdefined\isaccepted \else
+%    \par {\bf Keywords:} #1%
+%  \fi
+  \ifdefined\nohyperref\else\ifdefined\hypersetup
+    \hypersetup{pdfkeywords={#1}}
+  \fi\fi
+}
+
+% modification to natbib citations
+\setcitestyle{authoryear,round,citesep={;},aysep={,},yysep={;}}
+
+% Redefinition of the abstract environment.
+\renewenvironment{abstract}
+   {%
+% Insert the ``appearing in'' copyright notice.
+%\@copyrightspace
+\centerline{\large\bf Abstract}
+    \vspace{-0.12in}\begin{quote}}
+   {\par\end{quote}\vskip 0.12in}
+
+% numbered section headings with different treatment of numbers
+
+\def\@startsection#1#2#3#4#5#6{\if@noskipsec \leavevmode \fi
+   \par \@tempskipa #4\relax
+   \@afterindenttrue
+% Altered the following line to indent a section's first paragraph.
+%  \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \@afterindentfalse\fi
+   \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \fi
+   \if@nobreak \everypar{}\else
+     \addpenalty{\@secpenalty}\addvspace{\@tempskipa}\fi \@ifstar
+     {\@ssect{#3}{#4}{#5}{#6}}{\@dblarg{\@sict{#1}{#2}{#3}{#4}{#5}{#6}}}}
+
+\def\@sict#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
+     \def\@svsec{}\else
+     \refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname}\fi
+     \@tempskipa #5\relax
+      \ifdim \@tempskipa>\z@
+        \begingroup #6\relax
+          \@hangfrom{\hskip #3\relax\@svsec.~}{\interlinepenalty \@M #8\par}
+        \endgroup
+       \csname #1mark\endcsname{#7}\addcontentsline
+         {toc}{#1}{\ifnum #2>\c@secnumdepth \else
+                      \protect\numberline{\csname the#1\endcsname}\fi
+                    #7}\else
+        \def\@svsechd{#6\hskip #3\@svsec #8\csname #1mark\endcsname
+                      {#7}\addcontentsline
+                           {toc}{#1}{\ifnum #2>\c@secnumdepth \else
+                             \protect\numberline{\csname the#1\endcsname}\fi
+                       #7}}\fi
+     \@xsect{#5}}
+
+\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
+     \def\@svsec{}\else
+     \refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname\hskip 0.4em }\fi
+     \@tempskipa #5\relax
+      \ifdim \@tempskipa>\z@
+        \begingroup #6\relax
+          \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par}
+        \endgroup
+       \csname #1mark\endcsname{#7}\addcontentsline
+         {toc}{#1}{\ifnum #2>\c@secnumdepth \else
+                      \protect\numberline{\csname the#1\endcsname}\fi
+                    #7}\else
+        \def\@svsechd{#6\hskip #3\@svsec #8\csname #1mark\endcsname
+                      {#7}\addcontentsline
+                           {toc}{#1}{\ifnum #2>\c@secnumdepth \else
+                             \protect\numberline{\csname the#1\endcsname}\fi
+                       #7}}\fi
+     \@xsect{#5}}
+
+% section headings with less space above and below them
+\def\thesection {\arabic{section}}
+\def\thesubsection {\thesection.\arabic{subsection}}
+\def\section{\@startsection{section}{1}{\z@}{-0.12in}{0.02in}
+             {\large\bf\raggedright}}
+\def\subsection{\@startsection{subsection}{2}{\z@}{-0.10in}{0.01in}
+                {\normalsize\bf\raggedright}}
+\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-0.08in}{0.01in}
+                {\normalsize\sc\raggedright}}
+\def\paragraph{\@startsection{paragraph}{4}{\z@}{1.5ex plus
+  0.5ex minus .2ex}{-1em}{\normalsize\bf}}
+\def\subparagraph{\@startsection{subparagraph}{5}{\z@}{1.5ex plus
+  0.5ex minus .2ex}{-1em}{\normalsize\bf}}
+
+% Footnotes
+\footnotesep 6.65pt %
+\skip\footins 9pt
+\def\footnoterule{\kern-3pt \hrule width 0.8in \kern 2.6pt }
+\setcounter{footnote}{0}
+
+% Lists and paragraphs
+\parindent 0pt
+\topsep 4pt plus 1pt minus 2pt
+\partopsep 1pt plus 0.5pt minus 0.5pt
+\itemsep 2pt plus 1pt minus 0.5pt
+\parsep 2pt plus 1pt minus 0.5pt
+\parskip 6pt
+
+\leftmargin 2em \leftmargini\leftmargin \leftmarginii 2em
+\leftmarginiii 1.5em \leftmarginiv 1.0em \leftmarginv .5em
+\leftmarginvi .5em
+\labelwidth\leftmargini\advance\labelwidth-\labelsep \labelsep 5pt
+
+\def\@listi{\leftmargin\leftmargini}
+\def\@listii{\leftmargin\leftmarginii
+   \labelwidth\leftmarginii\advance\labelwidth-\labelsep
+   \topsep 2pt plus 1pt minus 0.5pt
+   \parsep 1pt plus 0.5pt minus 0.5pt
+   \itemsep \parsep}
+\def\@listiii{\leftmargin\leftmarginiii
+    \labelwidth\leftmarginiii\advance\labelwidth-\labelsep
+    \topsep 1pt plus 0.5pt minus 0.5pt
+    \parsep \z@ \partopsep 0.5pt plus 0pt minus 0.5pt
+    \itemsep \topsep}
+\def\@listiv{\leftmargin\leftmarginiv
+     \labelwidth\leftmarginiv\advance\labelwidth-\labelsep}
+\def\@listv{\leftmargin\leftmarginv
+     \labelwidth\leftmarginv\advance\labelwidth-\labelsep}
+\def\@listvi{\leftmargin\leftmarginvi
+     \labelwidth\leftmarginvi\advance\labelwidth-\labelsep}
+
+\abovedisplayskip 7pt plus2pt minus5pt%
+\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip  0pt plus3pt%
+\belowdisplayshortskip  4pt plus3pt minus3pt%
+
+% Less leading in most fonts (due to the narrow columns)
+% The choices were between 1-pt and 1.5-pt leading
+\def\@normalsize{\@setsize\normalsize{11pt}\xpt\@xpt}
+\def\small{\@setsize\small{10pt}\ixpt\@ixpt}
+\def\footnotesize{\@setsize\footnotesize{10pt}\ixpt\@ixpt}
+\def\scriptsize{\@setsize\scriptsize{8pt}\viipt\@viipt}
+\def\tiny{\@setsize\tiny{7pt}\vipt\@vipt}
+\def\large{\@setsize\large{14pt}\xiipt\@xiipt}
+\def\Large{\@setsize\Large{16pt}\xivpt\@xivpt}
+\def\LARGE{\@setsize\LARGE{20pt}\xviipt\@xviipt}
+\def\huge{\@setsize\huge{23pt}\xxpt\@xxpt}
+\def\Huge{\@setsize\Huge{28pt}\xxvpt\@xxvpt}
+
+% Revised formatting for figure captions and table titles.
+\newsavebox\newcaptionbox\newdimen\newcaptionboxwid
+
+\long\def\@makecaption#1#2{
+ \vskip 10pt
+        \baselineskip 11pt
+        \setbox\@tempboxa\hbox{#1. #2}
+        \ifdim \wd\@tempboxa >\hsize
+        \sbox{\newcaptionbox}{\small\sl #1.~}
+        \newcaptionboxwid=\wd\newcaptionbox
+        \usebox\newcaptionbox {\footnotesize #2}
+%        \usebox\newcaptionbox {\small #2}
+        \else
+          \centerline{{\small\sl #1.} {\small #2}}
+        \fi}
+
+\def\fnum@figure{Figure \thefigure}
+\def\fnum@table{Table \thetable}
+
+% Strut macros for skipping spaces above and below text in tables.
+\def\abovestrut#1{\rule[0in]{0in}{#1}\ignorespaces}
+\def\belowstrut#1{\rule[-#1]{0in}{#1}\ignorespaces}
+
+\def\abovespace{\abovestrut{0.20in}}
+\def\aroundspace{\abovestrut{0.20in}\belowstrut{0.10in}}
+\def\belowspace{\belowstrut{0.10in}}
+
+% Various personal itemization commands.
+\def\texitem#1{\par\noindent\hangindent 12pt
+               \hbox to 12pt {\hss #1 ~}\ignorespaces}
+\def\icmlitem{\texitem{$\bullet$}}
+
+% To comment out multiple lines of text.
+\long\def\comment#1{}
+
+
+
+
+%% Line counter (not in final version). Adapted from NIPS style file by Christoph Sawade
+
+% Vertical Ruler
+% This code is, largely, from the CVPR 2010 conference style file
+% ----- define vruler
+\makeatletter
+\newbox\icmlrulerbox
+\newcount\icmlrulercount
+\newdimen\icmlruleroffset
+\newdimen\cv@lineheight
+\newdimen\cv@boxheight
+\newbox\cv@tmpbox
+\newcount\cv@refno
+\newcount\cv@tot
+% NUMBER with left flushed zeros  \fillzeros[<WIDTH>]<NUMBER>
+\newcount\cv@tmpc@ \newcount\cv@tmpc
+\def\fillzeros[#1]#2{\cv@tmpc@=#2\relax\ifnum\cv@tmpc@<0\cv@tmpc@=-\cv@tmpc@\fi
+\cv@tmpc=1 %
+\loop\ifnum\cv@tmpc@<10 \else \divide\cv@tmpc@ by 10 \advance\cv@tmpc by 1 \fi
+   \ifnum\cv@tmpc@=10\relax\cv@tmpc@=11\relax\fi \ifnum\cv@tmpc@>10 \repeat
+\ifnum#2<0\advance\cv@tmpc1\relax-\fi
+\loop\ifnum\cv@tmpc<#1\relax0\advance\cv@tmpc1\relax\fi \ifnum\cv@tmpc<#1 \repeat
+\cv@tmpc@=#2\relax\ifnum\cv@tmpc@<0\cv@tmpc@=-\cv@tmpc@\fi \relax\the\cv@tmpc@}%
+% \makevruler[<SCALE>][<INITIAL_COUNT>][<STEP>][<DIGITS>][<HEIGHT>]
+\def\makevruler[#1][#2][#3][#4][#5]{
+	\begingroup\offinterlineskip
+		\textheight=#5\vbadness=10000\vfuzz=120ex\overfullrule=0pt%
+		\global\setbox\icmlrulerbox=\vbox to \textheight{%
+			{
+				\parskip=0pt\hfuzz=150em\cv@boxheight=\textheight
+				\cv@lineheight=#1\global\icmlrulercount=#2%
+				\cv@tot\cv@boxheight\divide\cv@tot\cv@lineheight\advance\cv@tot2%
+				\cv@refno1\vskip-\cv@lineheight\vskip1ex%
+				\loop\setbox\cv@tmpbox=\hbox to0cm{					 % side margin
+					\hfil {\hfil\fillzeros[#4]\icmlrulercount}
+				}%
+				\ht\cv@tmpbox\cv@lineheight\dp\cv@tmpbox0pt\box\cv@tmpbox\break
+				\advance\cv@refno1\global\advance\icmlrulercount#3\relax
+				\ifnum\cv@refno<\cv@tot\repeat
+			}
+		}
+	\endgroup
+}%
+\makeatother
+% ----- end of vruler
+
+
+% \makevruler[<SCALE>][<INITIAL_COUNT>][<STEP>][<DIGITS>][<HEIGHT>]
+\def\icmlruler#1{\makevruler[12pt][#1][1][3][\textheight]\usebox{\icmlrulerbox}}
+\AddToShipoutPicture{%
+\icmlruleroffset=\textheight
+\advance\icmlruleroffset by 5.2pt % top margin
+  \color[rgb]{.7,.7,.7}
+  \ifdefined\isaccepted \else
+	  \AtTextUpperLeft{%
+	    \put(\LenToUnit{-35pt},\LenToUnit{-\icmlruleroffset}){%left ruler
+	      \icmlruler{\icmlrulercount}}
+%	    \put(\LenToUnit{1.04\textwidth},\LenToUnit{-\icmlruleroffset}){%right ruler
+%	      \icmlruler{\icmlrulercount}}
+	  }
+	 \fi
+}
+\endinput

old_results/experiment_folders/em_afp_analytic_codex/papers/constrained_belief_updating_factored/cbu_factored.pdf

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+version https://git-lfs.github.com/spec/v1
+oid sha256:6addc058a05c9570ec32c55684201b056f7df049ef8db661d2c07e9b815925b4
+size 5759393

old_results/experiment_folders/em_afp_analytic_codex/papers/optimal_attention/optimal_attention.aux

@@ -0,0 +1,115 @@
+\relax 
+\providecommand\hyper@newdestlabel[2]{}
+\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
+\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
+\global\let\oldnewlabel\newlabel
+\gdef\newlabel#1#2{\newlabelxx{#1}#2}
+\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
+\AtEndDocument{\ifx\hyper@anchor\@undefined
+\let\newlabel\oldnewlabel
+\fi}
+\fi}
+\global\let\hyper@last\relax 
+\gdef\HyperFirstAtBeginDocument#1{#1}
+\providecommand\HyField@AuxAddToFields[1]{}
+\providecommand\HyField@AuxAddToCoFields[2]{}
+\abx@aux@refcontext{nty/global//global/global}
+\@writefile{toc}{\contentsline {section}{\numberline {1}Data generating model}{1}{section.1}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {2}Defining the optimization problem}{1}{section.2}\protected@file@percent }
+\newlabel{mse}{{1}{1}{Defining the optimization problem}{equation.2.1}{}}
+\newlabel{transformer}{{2}{1}{Defining the optimization problem}{equation.2.2}{}}
+\@writefile{toc}{\contentsline {section}{\numberline {3}Optimal solution in function space}{1}{section.3}\protected@file@percent }
+\newlabel{transformer_matrix}{{3}{1}{Optimal solution in function space}{equation.3.3}{}}
+\newlabel{loss}{{4}{2}{Optimal solution in function space}{equation.3.4}{}}
+\newlabel{long_gW}{{5}{2}{Optimal solution in function space}{equation.3.5}{}}
+\newlabel{long_gV}{{6}{2}{Optimal solution in function space}{equation.3.6}{}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Evaluation of process statistics}{2}{subsection.3.1}\protected@file@percent }
+\newlabel{sec:stats}{{3.1}{2}{Evaluation of process statistics}{subsection.3.1}{}}
+\newlabel{btau}{{7}{2}{Evaluation of process statistics}{equation.3.7}{}}
+\newlabel{b0}{{9}{2}{Evaluation of process statistics}{equation.3.9}{}}
+\newlabel{XX}{{13}{2}{Evaluation of process statistics}{equation.3.13}{}}
+\newlabel{YX}{{14}{2}{Evaluation of process statistics}{equation.3.14}{}}
+\newlabel{XAX}{{18}{2}{Evaluation of process statistics}{equation.3.18}{}}
+\newlabel{meanlag}{{19}{3}{Evaluation of process statistics}{equation.3.19}{}}
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