ground_truth stringclasses 1
value | hardness_signals listlengths 1 4 | product stringclasses 1
value | record_id stringlengths 37 39 | split stringclasses 1
value | thread dict |
|---|---|---|---|---|---|
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676824 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p><strong>I offer an elementary solution.</strong> It requires one substitution in an ordinary integral which, when repeated for each variable, yields a product of Beta function values.</p>\n<p>There are other solutions that might provide simp... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676830 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<blockquote>\n<p>I am considering using Kaplan–Meier curves and the log-rank test to compare the time-to-next-PR distributions between abandoned and non-abandoned focal PRs.</p>\n</blockquote>\n<p>That could be a start, but it won't allow you to... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:676842 | train | {
"accepted_answer_id": 676849,
"answers": [
{
"answer_html": "<p>It is still true that the asymptotic null distribution of the LRT is the null distribution of a local Gaussian shift alternative. In your <span class=\"math-container\">$N(\\mu,\\sigma^2)$</span> example that means the asymptotic null dist... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:676855 | train | {
"accepted_answer_id": 676856,
"answers": [
{
"answer_html": "<p>The scale parameter is routinely analysed in survival models, because the scale parameter is a location parameter for <span class=\"math-container\">$\\log T$</span>. Accelerated-failure models are of the form\n<span class=\"math-container... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676858 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>There are two options for testing ordination models in <em>vegan</em>:</p>\n<ol>\n<li>model-based permutations, and</li>\n<li>design-based</li>\n</ol>\n<p>In 1. you model the site effects (like you have) and you assume the residuals are no co... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676865 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Yes, you have to set an upper bound on the cutpoints. A value of +13 is a very small probability so unlikely to matter for inferences.</p>\n<p>Though I would point out this is a weakness exclusively of MLE implementations; ordbetareg does not... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676870 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>You are correct that the probability of component <span class=\"math-container\">$c_i$</span> surviving past time <span class=\"math-container\">$t$</span> is <span class=\"math-container\">$e^{-\\lambda_i t}$</span>. And that is pretty much ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676879 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>If you run a plain Gibbs on a classic mixture model, you face the paradox that the Markov chain is uniformly ergodic (because the latent space is finite and hence compact) AND usually fails to switch between modes, i.e. does not exhibit label... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676889 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>This is my own current reasoning, posted so it can be argued with rather than because I think it settles anything. I am not confident in it.</p>\n<p><strong>On the gate versus a probabilistic model</strong></p>\n<p>The argument for the gate i... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676899 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>There's an aphorism that "friends don't let friends use Excel for statistics". I know of two built-in ways to conduct linear regression in Excel: using the <a href=\"https://support.microsoft.com/en-us/excel/functions/linest-functio... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676922 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<blockquote>\n<p>but that control has already been shown to have reduced growth compared to another genotype where that process is disrupted</p>\n</blockquote>\n<p>A control can have a different baseline than the treated group. But you need to m... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:676933 | train | {
"accepted_answer_id": 676944,
"answers": [
{
"answer_html": "<h3>TL:DR - this has sort of been asked before, but this deserves a separate answer</h3>\n<p>I think that you'll find that there are several ways to derive the relationship, and yours certainly gels with others (for example <a href=\"https://s... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676935 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<blockquote>\n<p>is trying to use all the data a flawed concept to begin with?</p>\n</blockquote>\n<p>No. On the contrary, limiting analysis only to complete-data cases is typically flawed. An exception is if the data are "missing completel... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676937 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>If the treatment × time × baseline covariate interaction is significant, then the association between treatment/time and outcome depends on the value of the baseline covariate. It thus would make sense to evaluate treatment effects within eac... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676947 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>With these data, I don't see a way to separate the associations of date and temperature with time outside from that of egg-laying phase. That phase, defined by date with whichever cutoff you use, is inextricably linked to date and to the chan... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676958 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>In stepwise regression, scaling the response variable changes coefficient magnitudes but has no other meaningful effect. Here is an example in R:</p>\n<pre class=\"lang-r prettyprint-override\"><code>data(mtcars)\n\n# Fit the same model with ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676961 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>There is no golden rule about how many time measurements are ideal, beyond issues of statistical power (which I will get to in a minute). Many analyses have only two time points to see pre-test / post-test changes. Other analyses have time se... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676966 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>It is helpful to separate two distinct IV assumptions: whether the instrument is as good as randomly assigned and whether it satisfies the exclusion restriction.\nIncluding controls may help support the first assumption, but it does not autom... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676991 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>You have treatment (I assume a categorical variable) as both a fixed effect and a random effect intercept. This seems the most obvious culprit for the model not converging. You have essentially duplicated the same effect in the model, which m... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676997 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Welcome to CV.<br />\nThis will not be an answer to your direct questions, nor will it be a particularly "statistical" answer, but a series of remarks, too long to fit in comments, which I hope can help, and a final remark, which un... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:676999 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>It is important here to not think about effects in a binary manner (as if the statistical message were just that an effect is "significant" vs. "not significant"; in particular, "not significant" doesn't mean tha... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:677021 | train | {
"accepted_answer_id": 677036,
"answers": [
{
"answer_html": "<p><strong>Because it can be difficult or impossible to analyze numerical solutions mathematically, one would naturally resort to simulation</strong>. This amounts to selecting parameter values of interest and repeatedly creating a random sam... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:stats:677023 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The regression coefficients for variables not in the interaction are main effects, conditional on all the other variables, including the interaction.</p>\n<p>I don't know of a book that states this, but you can either a) Do the math and show ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677033 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Welcome to CV. It's not clear why you think there is multicollinearity. That is a relation among independent variables and has nothing to do with the DV. You've only listed one IV. However, collinearity does not affect prediction very much.</... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677041 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The thing to look up to analyse things like this is the Delta method.\nSimply put it states that functions of asymptotically normal estimators are themselves asymptotically normal and gives you a method for computing the limiting variance.</p... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677045 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I don't think this is possible. Consider the simplest possible case, where <span class=\"math-container\">$g_\\theta(X_1)=\\alpha+\\theta X_1$</span> and <span class=\"math-container\">$f_\\psi(Z_1)=\\psi Z_1$</span>, and the combined proced... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677058 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The gap statistic will indeed be the more stable the larger you choose nstart and the larger you choose B, but you seem to be aware of this, and the values you chose don't seem critically low.</p>\n<p>Other potential issues: Note that kmeans ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:677062 | train | {
"accepted_answer_id": 677064,
"answers": [
{
"answer_html": "<p>The AI-generated code manually slices <code>{DHARMa}</code>'s internal arrays, which is fragile. The cleaner approach would be to use <code>recalculateResiduals()</code> with <code>NA</code> for the other season's rows, letting DHARMa's NA ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers"
] | rag | Scientific-RAG-HardCases:stats:677066 | train | {
"accepted_answer_id": 677067,
"answers": [
{
"answer_html": "<p>If you have three items <span class=\"math-container\">$Y_1,Y_2, Y_3$</span> with variance 1 each, say, and <span class=\"math-container\">$Y_2=-Y_1$</span>, <span class=\"math-container\">$Y_3$</span> independent of <span class=\"math-cont... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:677071 | train | {
"accepted_answer_id": 677074,
"answers": [
{
"answer_html": "<p>I think that my colleague was right. However, even <a href=\"https://doi.org/10.1007/978-3-030-02914-2\" rel=\"nofollow noreferrer\">Brunner's book</a> does not address this issue, so I wrote the following proof:</p>\n<p><strong>Theorem</st... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:677079 | train | {
"accepted_answer_id": 677089,
"answers": [
{
"answer_html": "<p>I see what's going on here. When <code>refit = F</code> DHARMa uses raw residuals and your raw response values are kind of crazy. 90% are zero, the second biggest number is 7 and then it maxes out at <em><strong>18</strong></em>:</p>\n<pre>... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677083 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I don’t think the repeated measures of responsiveness need to be kept that way for this particular design. If your dependent variable was also measured from 2019-2026, then it would make more sense to have a time-dependent covariate. But you ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677095 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Welcome to CV!</p>\n<p>So you want to compare 2 proportions; e.g. “<em>Is the proportion of students who receive an A grade in MA101 the same as the proportion of students who receive an A grade in all other MA courses?</em>”.</p>\n<p>Well, t... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677101 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I'll start by addressing the questions, then finish with some thoughts based on the added study details.</p>\n<blockquote>\n<p>what is the minimum sample size I would need ...?</p>\n</blockquote>\n<p>Rules of thumb about the event/coefficient... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:stats:677110 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Everything is dependent on your second C. Even random things like rolling dice (someone has to roll the dice, if there are no humans, no dice) so that seems a bit overdone.</p>\n<p>I guess you could argue that every pair of variables is only ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677129 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Putting together the comments:</p>\n<blockquote>\n<p>Is that p-value enough to fit the Linear mixed model anyway?</p>\n</blockquote>\n<p>Don't rely on such <em>p</em>-values for making decisions about the model to use. As @mastropi notes, wit... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:stats:677135 | train | {
"accepted_answer_id": 677139,
"answers": [
{
"answer_html": "<p>Can you provide a <a href=\"https://reprex.tidyverse.org/\" rel=\"nofollow noreferrer\"><code>{reprex}</code></a>? I'm getting a warning when I run your code</p>\n<pre class=\"lang-r prettyprint-override\"><code>df <- structure(list(Pre... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677137 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>B-splines are designed to be local* (only nearby x-values affect the relevant predictor, and hence the fitted response).</p>\n<p>Consequently the predictor columns will be zero out of the local interval (described in terms of the nearby few k... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677147 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Except for the comparison between <code>mod_disp_constant</code> and <code>mod_disp_background</code>, the <em>p</em>-values you show are based on Wald tests, which hold asymptotically in the limit of large numbers of cases. If you have only ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677151 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I presume that you are interested in comparing medians of paired data, and that somehow you felt that your data was not “normal enough” to warrant a paired t-test? Hence your choice to use a Wilcoxon-signed-Rank test (WSRt).</p>\n<p>The first... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:stats:677168 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>(i) Yes, I think that you are over-thinking it. If you plot the data with a logarithmic scale for the fluorescence density you will very likely find that the does-response relationship is sufficiently clear that no statistical analysis is goi... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:stats:677169 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>First: That is much too simple a rule. A better rule of thumb is one regressor for every ten observations, so if you have a really big data set, you could use more variables without overfitting.</p>\n<p>Second, it does matter whether your out... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677171 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Not sure whether these are <em>worthy of mention</em>, but here goes.</p>\n<p>In the forecasting community, these are typically used with absolute values. (Usually one assumes that the denominator is positive. If the denominator can become ze... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677183 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Ordinal models pose (at least) two difficulties in interpretation beyond standard linear models.</p>\n<p>First, the coefficients are in <em>log-odds</em> scales, which can be hard to think about even in logistic regression. A log-odds coeffic... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:stats:677186 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Some of the comments could be answers, and are good answers. But, if you want completely non-technical, I'd use an example.</p>\n<p>Suppose you go on a diet to lose weight. You weigh yourself every day and get values say (in pounds):</p>\n<p>... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers"
] | rag | Scientific-RAG-HardCases:stats:677193 | train | {
"accepted_answer_id": 677196,
"answers": [
{
"answer_html": "<p>First of all, there should be an assortment of threads on this site that can help you with partial / semipartial correlation coefficients vis a vis multiple regression. This might be a good place to start: <a href=\"https://stats.stackexcha... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677194 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>If the ratio of the means is not equal to about 100:36, then the ratings are probably not simply different scalings of the same underlying distribution. And if the ratio of means is the same as 100:36, you probably wouldn't be asking, and any... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677217 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>If you expect the trajectories to differ over time among the 4 groups, include in your model an <em>interaction</em> term between days <em>in vitro</em> (DIV) and time. Without an interaction, your model would force all groups to have the sam... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:stats:677226 | train | {
"accepted_answer_id": 677231,
"answers": [
{
"answer_html": "<p>No you can not estimate the <span class=\"math-container\">$\\theta_i$</span> variance for <span class=\"math-container\">$k = 1$</span>. The relevant concept is the beta-binomial distribution(<a href=\"https://en.wikipedia.org/wiki/Beta-bi... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677242 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I would treat the 2 observations that are only 1 minute apart as technical replicates that are unlikely to differ biologically. Average them and the associated measurement times instead of using them separately. That removes your concern abou... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677243 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Upon further testing, it seems like all methods of normalizing the residuals will approximate uncorrelated standard normal distributions in large samples. In smaller samples, the difference between methods can look quite stark, but that does ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"accepted_not_highest_score"
] | rag | Scientific-RAG-HardCases:stats:677266 | train | {
"accepted_answer_id": 677268,
"answers": [
{
"answer_html": "<p>I would not go through mean and variance here. Your model for data generation is based on <span class=\"math-container\">$\\alpha$</span> and <span class=\"math-container\">$\\beta$</span> right? So why not work with them? Your population v... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677269 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>It follows from the Markov property. The conditional distribution of the next state given the present state does not depend on the past, i.e. does not depend on the state at any earlier time. Thus the probability of remaining in the same stat... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677279 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>If the true effects are indeed homogeneous, then you will lose some efficiency by using a random-effects model, because tau^2 will be estimated to be larger than 0 in roughly 50% of the cases (hopefully not by much, but still). Of course, usi... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:stats:677298 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I think a <em>non</em> Z-I beta-binomial looks perfectly adequate, and I personally would push back against your stats consultant — in particular, the Beta distribution (which assumes a continuous distribution of outcomes between 0 and 1) is ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45096 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p><em>Edit: I somehow missed the part of the title, "besides vectorization" so, this was probably exactly <em>not</em> what you were looking for. I'll leave this as is in case someone wants to use it as a reference.</em></p>\n<p>Expan... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45100 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Accelerated Methods (Momentum / NESTEROV / FISTA) in their vanilla form do not guarantee a descent direction.<br />\nHence one might get steps where the objective is not minimized.</p>\n<p>There are monotonic versions of some of the methods.<... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45105 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The error was that I stated <code>ja = 1 / (1+np.exp(-yz))</code> , but instead I should state <code>ja = 1 / (1+np.exp(yz))</code>.</p>\n",
"answer_id": 45106,
"answer_text": "The error was that I stated ja = 1 / (1+np.exp(-yz)) ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45112 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>There is likely a bug in your code, which others have given you good insight about in the comments. As an alternative approach, you can recast your original PDE into a system of two first order PDEs.</p>\n<p><span class=\"math-container\">$$\... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45114 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>In the context of your attempt to use machine learning, I think these two publications could be relevant, since they are fitting a neural network to the data first to then inform the search for the symbolic expression:</p>\n<ul>\n<li><a href=... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45122 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>What you want to achieve is called <strong>row echelon form</strong> and is the typical result of the Gauß algorithm. Related is the LU decomposition and the pivoted variants of it.</p>\n",
"answer_id": 45123,
"answer_text": "What... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45127 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The inverse inequality basically says that if you have a function that rises from zero to one over a distance of <span class=\"math-container\">$h$</span> in some kind of smooth way, then the gradient ought to be of the order <span class=\"ma... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45129 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>What you wish to achieve is a equivalent position of the entire limb, so your solutions can't be determined by looking at the angles alone; the orientation of length of the arms between the joints also matter.</p>\n<p>One strategy one could e... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45141 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I second what the others have said in the comments, and underline really how vast scientific computing is. I am a postgraduate student in Lattice Physics and the field is already immense in itself, albeit being a subset of scientific computin... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45146 | train | {
"accepted_answer_id": 45148,
"answers": [
{
"answer_html": "<p>Let me address your Question 2:</p>\n<p>Strictly speaking, you have <span class=\"math-container\">$R: H^1_g \\to X^\\ast$</span> where <span class=\"math-container\">$X^\\ast$</span> is a set so that <span class=\"math-container\">$\\left&l... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45154 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>First of all: have you tried multiplying the first equation (i.e., the first row of <span class=\"math-container\">$D$</span> and <span class=\"math-container\">$L$</span>) by <span class=\"math-container\">$\\alpha^2$</span> and the third by... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45158 | train | {
"accepted_answer_id": 45159,
"answers": [
{
"answer_html": "<blockquote>\n<p>It seems to lose precision because of the <span class=\"math-container\">$b - a$</span> term that can be arbitrarily imprecise.</p>\n</blockquote>\n<p>You have diagnosed the problem upside-down: if <span class=\"math-container\... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45165 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>My preferred method has always been to just implement the code the same way we actually write the mathematics: you only number your actual degrees of freedom.\nDirect constraints like this one can easily statically condense/rotate to the real... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45183 | train | {
"accepted_answer_id": 45187,
"answers": [
{
"answer_html": "<p>I assume that you want to calculate the determinant exactly and that the matrix <span class=\"math-container\">$A$</span> has no special structure. The determinant of an <span class=\"math-container\">$n \\times n$</span> matrix with <span c... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45185 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I might have found the solution, of which I'm listing the main points/observations here below:</p>\n<ul>\n<li>the FFT/IFFT implementation in the code is consistent with the Fourier transform computed as <span class=\"math-container\">$\\tilde... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45200 | train | {
"accepted_answer_id": 45203,
"answers": [
{
"answer_html": "<p>The problem is two-dimensional because it is posed on a two-dimensional manifold. Software such as deal.II (disclaimer: I'm one of the authors of this software) have no problem with solving PDEs on a manifold, making it essentially the same ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45208 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>As a Krylov method, MINRES searches for the solution in the span of <span class=\"math-container\">$\\{b, Ab, A^2b, \\dots, A^kb\\}$</span>. So, if your vector <span class=\"math-container\">$w$</span> is orthogonal to that span, MINRES effec... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45229 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The main challenge here appears to be the dependence of the inner integral on <span class=\"math-container\">$\\phi$</span>, not only in the integrand but also in the limits. So, if I were you, I would first want a function expression for the... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45236 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The quantities in this expression are challenging for any fixed-precision numerical system. Python supports arbitrary-precision fractional math natively, and it does fine here (despite the numerator and denominator being integers with over 4,... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45238 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>By definition, the principal inertia moments are the eigenvalues of the inertia tensor. Its eigenvectors are the principal directions, in the sense that a change of coordinates to a coordinate system described by those (normalized) vectors wo... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45246 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Dear Lutz Lehmann and community,</p>\n<p>Thank you for your response. I’ve now managed to develop a fully functional program. My main challenge was that I only had two of the four boundary conditions required by the numerical scheme. As it tu... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:scicomp:45247 | train | {
"accepted_answer_id": 45248,
"answers": [
{
"answer_html": "<p>You are right that many physical phenomena we do computer simulations for are chaotic. There are two aspects that make such simulations meaningful:</p>\n<ul>\n<li><p>Chaotic systems have a time scale over which small perturbations (due to in... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"accepted_not_highest_score"
] | rag | Scientific-RAG-HardCases:scicomp:45253 | train | {
"accepted_answer_id": 45259,
"answers": [
{
"answer_html": "<p>It's probably easier to not expand early and use the chain rule:</p>\n<p><span class=\"math-container\">$$\n\\frac{d}{dt}(m_0 \\gamma(v) v) = F\\\\\nm_0 (\\gamma(v) + \\frac{d\\gamma(v)}{dv}v ) \\frac{dv}{dt} = F\\\\\n\\frac{dv}{dt} = \\frac... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45261 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The <strong>fastest</strong> way forward for debugging something like this might be to break up your main() and mult() method into smaller mathematical helper-functions. Within these helper functions you can do some sanity checking before ret... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45276 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<hr />\n<p><strong>Homogenous Diffusion IBVP</strong></p>\n<p>You have the homogeneous diffusion initial boundary value problem:\n<span class=\"math-container\">$$\\newcommand{\\bm}[1]{\\boldsymbol#1}$$</span>\n<span class=\"math-container\">\\b... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45300 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Actually， I turned to vasp later and I found it more simple to get good wannier functions via the SCDM method.<a href=\"https://i.sstatic.net/4ajnfKiL.png\" rel=\"nofollow noreferrer\"><img src=\"https://i.sstatic.net/4ajnfKiL.png\" alt=\"ent... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45302 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Seems like i found a way to adapt the referenced solution meant for descending eigenvalues, but i dont understand how that one works to begin with.\nAnyway, for people stumbling upon this some day, use:</p>\n<pre><code>H = magic(6);\n[U, T] =... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers"
] | rag | Scientific-RAG-HardCases:scicomp:45305 | train | {
"accepted_answer_id": 45308,
"answers": [
{
"answer_html": "<p>Most interior point solvers for LP have an option to switch over to a simplex method. The basic solution provided in this way might meet your requirements, but you won’t have this option if you’re solving more general convex optimization pr... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45316 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Any randomized algorithm is overkill in your case. If you want to fit data <span class=\"math-container\">$y_i$</span> so that for a specific set of <span class=\"math-container\">$\\mathbf x_i$</span> you have <span class=\"math-container\">... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"community_score_spread_ge_5"
] | rag | Scientific-RAG-HardCases:scicomp:45326 | train | {
"accepted_answer_id": 45327,
"answers": [
{
"answer_html": "<p>The NN does not know anything about the qualitative properties of the equations. If these properties are important to you, then you should include them in your loss function.</p>\n<p>This is not part of your question, but I'll comment on it ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45331 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>Simply adding a small <span class=\"math-container\">$\\delta$</span> to the diagonal elements of <span class=\"math-container\">$A$</span> will shift the eigenvalues upward by <span class=\"math-container\">$\\delta$</span> and keep the matr... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45334 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<blockquote>\n<p>monothonic</p>\n</blockquote>\n<p>I'm sure you meant monotonic.</p>\n<blockquote>\n<p>I am looking for a fast way to solve the problem</p>\n</blockquote>\n<p>Are you actually? I think if you were, you would use something off-the... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45336 | train | {
"accepted_answer_id": 45338,
"answers": [
{
"answer_html": "<p>I wrote about this as it pertains to Nitsche's method, from which SIPDG methods are derived, <a href=\"https://shapero.xyz/posts/nitsches-method/\" rel=\"noreferrer\">here</a> because I found it hard to piece together everything I needed to ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45359 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>In the world of maps there are two different scale factors, and there is a nice explanation in the top answer <a href=\"https://gis.stackexchange.com/questions/122703/influence-of-the-scale-factor-on-the-projection\">here on the GIS stack exc... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45362 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The integral can be evaluated analytically. (I'll provide a code with the code quadrature also.)</p>\n<p>I'll focus on integrals of the type:\n<span class=\"math-container\">\\begin{align}\nI^l &= \\int_a^b\\frac{x^l}{1-x²}dx\\\\\n&= ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45363 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The obvious parts for anytime one solves an ODE: Solver choice, reference to implementation if not self-rolled, how is the error determined (embedded methods, predictor/corrector schemes, ...), tolerances, initial step choice, step adaption ... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45365 | train | {
"accepted_answer_id": 45373,
"answers": [
{
"answer_html": "<p>One such certificate would be a complete basis of eigenvectors for <span class=\"math-container\">$A$</span>. Obviously the size of that would be <span class=\"math-container\">$O(n^2)$</span>.</p>\n<p>Assuming all the eigenvalues are disti... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45369 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>In the end, a Crank-Nicolson (CN) scheme is a way to resolve a differential operator, be it space or time. You can call a first order backward finite difference "backward Euler" as in the time integration scheme, but that doesn't ne... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45377 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>it seems you are trying to simulate a Rayleigh-Benard convection in a cavity. It is typically coupled with flow field, which you are trying to simulate through omega-psi formulation. No, I believe the convection currents and temperature field... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_answers",
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45380 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>It is possible you already do these things, but here are my two cents:</p>\n<p>Turbulence and chemical reactions will make your flow field quite chaotic and it is near impossible to see what is going on when seeing these directly. My approach... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45387 | train | {
"accepted_answer_id": 45388,
"answers": [
{
"answer_html": "<p>Unfortunately, an error free transform <code>Threeproduct()</code> of the form <span class=\"math-container\">$a⋅b⋅c=x+y$</span> doesn't necessarily exist for arbitrary <span class=\"math-container\">$a$</span>, <span class=\"math-container\... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45396 | train | {
"accepted_answer_id": 45440,
"answers": [
{
"answer_html": "<p>Makogan and I are both in a Discord server where we were discussing the problem and figured it out. For the sake of completeness, I am putting the answer here as well. The original question makes use of a Legendre polynomial basis like in th... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45401 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>The main issue here is stability.</p>\n<p>For stiff ODEs, methods typically need to be A-stable or L-stable (e.g., BDF or implicit Runge-Kutta schemes).\nA derivative-free approach that avoids evaluating the RHS is unusual, since the dynamics... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references",
"no_accepted_answer"
] | rag | Scientific-RAG-HardCases:scicomp:45404 | train | {
"accepted_answer_id": null,
"answers": [
{
"answer_html": "<p>I unfortunately cannot share my code due to my lab's policies, but I can describe the essential idea, which should make it easy to understand and implement. Note that my problem formulation is not exactly what you wrote and it considers an eq... |
No correct-answer label. Signals describe mechanically measurable source properties. | [
"multiple_external_references"
] | rag | Scientific-RAG-HardCases:scicomp:45410 | train | {
"accepted_answer_id": 45413,
"answers": [
{
"answer_html": "<p>While I'm not familiar with the OMP_DYNAMIC, for a scaling test you want to ensure that you know with how many cores you are running. The whole point is to say how your performance changes with the number of cores you are running, i.e. (goin... |
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