ICML 2026 Repro - Why Self-Training Helps and Hurts
Collection
Reproduction artifacts for ICML 2026 paper VnA5q5jXVz (arXiv 2602.14029): linear-regression theory + ResNet-50/CIFAR-10 self-distillation. • 3 items • Updated
Error code: DatasetGenerationCastError
Exception: DatasetGenerationCastError
Message: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 4 new columns ({'panel', 'sim', 'theory', 's'}) and 5 missing columns ({'theory_R', 'n', 'sim_risk', 'theory_B', 'theory_V'}).
This happened while the csv dataset builder was generating data using
hf://datasets/Eishaan/selfdistill-repro-bundle/outputs/claim2/claim2_all.csv (at revision bd8608ad192dcdd13b52e97545a2086d3fbffd67), ['hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim1/claim1_BV_decomposition.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim1/claim1_risk_theory_vs_sim.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim2/claim2_all.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim2/claim2_fig1b_ushape.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim2/claim2_fig3a_anisotropy.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim3/claim3_multispike_selection.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim3/claim3_noise_suppression.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim3/claim3_survival_factor.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim4/claim4_igcv_vs_risk.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim4/claim4_selection.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim5/claim5_cifar.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/general/general_fig5b_ushape.csv']
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)
Traceback: Traceback (most recent call last):
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1837, in _prepare_split_single
writer.write_table(table)
~~~~~~~~~~~~~~~~~~^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/arrow_writer.py", line 765, in write_table
self._write_table(pa_table, writer_batch_size=writer_batch_size)
~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/arrow_writer.py", line 773, in _write_table
pa_table = table_cast(pa_table, self._schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
return cast_table_to_schema(table, schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
raise CastError(
...<3 lines>...
)
datasets.table.CastError: Couldn't cast
panel: string
s: double
rho: double
t: int64
sim: double
sim_std: double
theory: double
-- schema metadata --
pandas: '{"index_columns": [{"kind": "range", "name": null, "start": 0, "' + 1032
to
{'rho': Value('float64'), 'n': Value('int64'), 't': Value('int64'), 'sim_risk': Value('float64'), 'sim_std': Value('float64'), 'theory_R': Value('float64'), 'theory_B': Value('float64'), 'theory_V': Value('float64')}
because column names don't match
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
~~~~~~~~~~~~~~~~~~~~~~~~~^
builder, max_dataset_size_bytes=max_dataset_size_bytes
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
)
^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
for job_id, done, content in self._prepare_split_single(
~~~~~~~~~~~~~~~~~~~~~~~~~~^
gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
):
^
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1839, in _prepare_split_single
raise DatasetGenerationCastError.from_cast_error(
...<4 lines>...
)
datasets.exceptions.DatasetGenerationCastError: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 4 new columns ({'panel', 'sim', 'theory', 's'}) and 5 missing columns ({'theory_R', 'n', 'sim_risk', 'theory_B', 'theory_V'}).
This happened while the csv dataset builder was generating data using
hf://datasets/Eishaan/selfdistill-repro-bundle/outputs/claim2/claim2_all.csv (at revision bd8608ad192dcdd13b52e97545a2086d3fbffd67), ['hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim1/claim1_BV_decomposition.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim1/claim1_risk_theory_vs_sim.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim2/claim2_all.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim2/claim2_fig1b_ushape.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim2/claim2_fig3a_anisotropy.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim3/claim3_multispike_selection.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim3/claim3_noise_suppression.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim3/claim3_survival_factor.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim4/claim4_igcv_vs_risk.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim4/claim4_selection.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/claim5/claim5_cifar.csv', 'hf://datasets/Eishaan/selfdistill-repro-bundle@bd8608ad192dcdd13b52e97545a2086d3fbffd67/outputs/general/general_fig5b_ushape.csv']
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
rho float64 | n int64 | t int64 | sim_risk float64 | sim_std float64 | theory_R float64 | theory_B float64 | theory_V float64 |
|---|---|---|---|---|---|---|---|
1.5 | 800 | 0 | 2.115912 | 0.080559 | 2.028835 | 0.009612 | 2.019223 |
1.5 | 800 | 1 | 1.459677 | 0.081771 | 1.402322 | 0.037697 | 1.364626 |
1.5 | 800 | 2 | 1.054863 | 0.05565 | 1.010678 | 0.083168 | 0.92751 |
1.5 | 800 | 3 | 0.828184 | 0.054825 | 0.780398 | 0.144988 | 0.63541 |
1.5 | 800 | 4 | 0.684399 | 0.043781 | 0.66218 | 0.222167 | 0.440013 |
1.5 | 800 | 5 | 0.641435 | 0.045741 | 0.622872 | 0.31376 | 0.309112 |
1.5 | 800 | 6 | 0.663317 | 0.053661 | 0.640099 | 0.418867 | 0.221232 |
1.5 | 800 | 7 | 0.721703 | 0.066246 | 0.698684 | 0.536627 | 0.162057 |
1.5 | 800 | 8 | 0.796689 | 0.067166 | 0.788262 | 0.666221 | 0.122041 |
1.5 | 800 | 9 | 0.908851 | 0.072028 | 0.901689 | 0.806868 | 0.09482 |
1.5 | 800 | 10 | 1.026127 | 0.072698 | 1.033974 | 0.957824 | 0.07615 |
1.5 | 800 | 11 | 1.178952 | 0.081056 | 1.18158 | 1.118378 | 0.063201 |
1.5 | 800 | 12 | 1.342181 | 0.085586 | 1.341942 | 1.287856 | 0.054086 |
1.5 | 800 | 13 | 1.513978 | 0.077431 | 1.513157 | 1.465613 | 0.047545 |
1.5 | 800 | 14 | 1.694504 | 0.086568 | 1.693774 | 1.651036 | 0.042738 |
2 | 600 | 0 | 1.081921 | 0.116302 | 1.073964 | 0.036982 | 1.036982 |
2 | 600 | 1 | 0.699712 | 0.072485 | 0.694977 | 0.142294 | 0.552683 |
2 | 600 | 2 | 0.625614 | 0.077927 | 0.615999 | 0.308045 | 0.307954 |
2 | 600 | 3 | 0.725062 | 0.113003 | 0.71025 | 0.527046 | 0.183205 |
2 | 600 | 4 | 0.917726 | 0.143519 | 0.911374 | 0.792749 | 0.118625 |
2 | 600 | 5 | 1.165143 | 0.160004 | 1.183496 | 1.0992 | 0.084296 |
2 | 600 | 6 | 1.488715 | 0.177318 | 1.506234 | 1.440986 | 0.065247 |
2 | 600 | 7 | 1.837833 | 0.184195 | 1.867174 | 1.813194 | 0.05398 |
2 | 600 | 8 | 2.228579 | 0.198502 | 2.258101 | 2.211366 | 0.046735 |
2 | 600 | 9 | 2.641269 | 0.208731 | 2.673088 | 2.631465 | 0.041623 |
2 | 600 | 10 | 3.065084 | 0.255521 | 3.107528 | 3.069838 | 0.03769 |
2 | 600 | 11 | 3.51613 | 0.267085 | 3.557634 | 3.523184 | 0.03445 |
2 | 600 | 12 | 3.980691 | 0.286294 | 4.020179 | 3.988527 | 0.031652 |
2 | 600 | 13 | 4.458014 | 0.318097 | 4.492348 | 4.463183 | 0.029165 |
2 | 600 | 14 | 4.938186 | 0.288802 | 4.971657 | 4.944742 | 0.026915 |
2.5 | 480 | 0 | 0.818694 | 0.0445 | 0.800166 | 0.0801 | 0.720066 |
2.5 | 480 | 1 | 0.639394 | 0.055164 | 0.638072 | 0.30252 | 0.335552 |
2.5 | 480 | 2 | 0.828759 | 0.069717 | 0.819568 | 0.643049 | 0.176519 |
2.5 | 480 | 3 | 1.173552 | 0.128301 | 1.188878 | 1.080626 | 0.108252 |
2.5 | 480 | 4 | 1.65916 | 0.187117 | 1.673765 | 1.596961 | 0.076805 |
2.5 | 480 | 5 | 2.226063 | 0.187863 | 2.236747 | 2.176207 | 0.06054 |
2.5 | 480 | 6 | 2.82833 | 0.171536 | 2.855422 | 2.804668 | 0.050754 |
2.5 | 480 | 7 | 3.512823 | 0.183971 | 3.514459 | 3.470539 | 0.04392 |
2.5 | 480 | 8 | 4.214571 | 0.152404 | 4.20226 | 4.163672 | 0.038589 |
2.5 | 480 | 9 | 4.903872 | 0.141557 | 4.909523 | 4.875379 | 0.034144 |
2.5 | 480 | 10 | 5.634946 | 0.166183 | 5.628559 | 5.598251 | 0.030308 |
2.5 | 480 | 11 | 6.358171 | 0.194144 | 6.352937 | 6.325996 | 0.026942 |
2.5 | 480 | 12 | 7.109372 | 0.187436 | 7.077265 | 7.0533 | 0.023965 |
2.5 | 480 | 13 | 7.809839 | 0.194076 | 7.797029 | 7.775705 | 0.021324 |
2.5 | 480 | 14 | 8.543225 | 0.236624 | 8.508476 | 8.4895 | 0.018976 |
1.5 | 800 | 0 | 2.115912 | 0.080559 | 2.028835 | 0.009612 | 2.019223 |
1.5 | 800 | 1 | 1.459677 | 0.081771 | 1.402322 | 0.037697 | 1.364626 |
1.5 | 800 | 2 | 1.054863 | 0.05565 | 1.010678 | 0.083168 | 0.92751 |
1.5 | 800 | 3 | 0.828184 | 0.054825 | 0.780398 | 0.144988 | 0.63541 |
1.5 | 800 | 4 | 0.684399 | 0.043781 | 0.66218 | 0.222167 | 0.440013 |
1.5 | 800 | 5 | 0.641435 | 0.045741 | 0.622872 | 0.31376 | 0.309112 |
1.5 | 800 | 6 | 0.663317 | 0.053661 | 0.640099 | 0.418867 | 0.221232 |
1.5 | 800 | 7 | 0.721703 | 0.066246 | 0.698684 | 0.536627 | 0.162057 |
1.5 | 800 | 8 | 0.796689 | 0.067166 | 0.788262 | 0.666221 | 0.122041 |
1.5 | 800 | 9 | 0.908851 | 0.072028 | 0.901689 | 0.806868 | 0.09482 |
1.5 | 800 | 10 | 1.026127 | 0.072698 | 1.033974 | 0.957824 | 0.07615 |
1.5 | 800 | 11 | 1.178952 | 0.081056 | 1.18158 | 1.118378 | 0.063201 |
1.5 | 800 | 12 | 1.342181 | 0.085586 | 1.341942 | 1.287856 | 0.054086 |
1.5 | 800 | 13 | 1.513978 | 0.077431 | 1.513157 | 1.465613 | 0.047545 |
1.5 | 800 | 14 | 1.694504 | 0.086568 | 1.693774 | 1.651036 | 0.042738 |
2 | 600 | 0 | 1.081921 | 0.116302 | 1.073964 | 0.036982 | 1.036982 |
2 | 600 | 1 | 0.699712 | 0.072485 | 0.694977 | 0.142294 | 0.552683 |
2 | 600 | 2 | 0.625614 | 0.077927 | 0.615999 | 0.308045 | 0.307954 |
2 | 600 | 3 | 0.725062 | 0.113003 | 0.71025 | 0.527046 | 0.183205 |
2 | 600 | 4 | 0.917726 | 0.143519 | 0.911374 | 0.792749 | 0.118625 |
2 | 600 | 5 | 1.165143 | 0.160004 | 1.183496 | 1.0992 | 0.084296 |
2 | 600 | 6 | 1.488715 | 0.177318 | 1.506234 | 1.440986 | 0.065247 |
2 | 600 | 7 | 1.837833 | 0.184195 | 1.867174 | 1.813194 | 0.05398 |
2 | 600 | 8 | 2.228579 | 0.198502 | 2.258101 | 2.211366 | 0.046735 |
2 | 600 | 9 | 2.641269 | 0.208731 | 2.673088 | 2.631465 | 0.041623 |
2 | 600 | 10 | 3.065084 | 0.255521 | 3.107528 | 3.069838 | 0.03769 |
2 | 600 | 11 | 3.51613 | 0.267085 | 3.557634 | 3.523184 | 0.03445 |
2 | 600 | 12 | 3.980691 | 0.286294 | 4.020179 | 3.988527 | 0.031652 |
2 | 600 | 13 | 4.458014 | 0.318097 | 4.492348 | 4.463183 | 0.029165 |
2 | 600 | 14 | 4.938186 | 0.288802 | 4.971657 | 4.944742 | 0.026915 |
2.5 | 480 | 0 | 0.818694 | 0.0445 | 0.800166 | 0.0801 | 0.720066 |
2.5 | 480 | 1 | 0.639394 | 0.055164 | 0.638072 | 0.30252 | 0.335552 |
2.5 | 480 | 2 | 0.828759 | 0.069717 | 0.819568 | 0.643049 | 0.176519 |
2.5 | 480 | 3 | 1.173552 | 0.128301 | 1.188878 | 1.080626 | 0.108252 |
2.5 | 480 | 4 | 1.65916 | 0.187117 | 1.673765 | 1.596961 | 0.076805 |
2.5 | 480 | 5 | 2.226063 | 0.187863 | 2.236747 | 2.176207 | 0.06054 |
2.5 | 480 | 6 | 2.82833 | 0.171536 | 2.855422 | 2.804668 | 0.050754 |
2.5 | 480 | 7 | 3.512823 | 0.183971 | 3.514459 | 3.470539 | 0.04392 |
2.5 | 480 | 8 | 4.214571 | 0.152404 | 4.20226 | 4.163672 | 0.038589 |
2.5 | 480 | 9 | 4.903872 | 0.141557 | 4.909523 | 4.875379 | 0.034144 |
2.5 | 480 | 10 | 5.634946 | 0.166183 | 5.628559 | 5.598251 | 0.030308 |
2.5 | 480 | 11 | 6.358171 | 0.194144 | 6.352937 | 6.325996 | 0.026942 |
2.5 | 480 | 12 | 7.109372 | 0.187436 | 7.077265 | 7.0533 | 0.023965 |
2.5 | 480 | 13 | 7.809839 | 0.194076 | 7.797029 | 7.775705 | 0.021324 |
2.5 | 480 | 14 | 8.543225 | 0.236624 | 8.508476 | 8.4895 | 0.018976 |
1.5 | null | 0 | null | 0.107975 | null | null | null |
1.5 | null | 1 | null | 0.092613 | null | null | null |
1.5 | null | 2 | null | 0.085458 | null | null | null |
1.5 | null | 3 | null | 0.090845 | null | null | null |
1.5 | null | 4 | null | 0.090522 | null | null | null |
1.5 | null | 5 | null | 0.089775 | null | null | null |
1.5 | null | 6 | null | 0.109498 | null | null | null |
1.5 | null | 7 | null | 0.120517 | null | null | null |
1.5 | null | 8 | null | 0.124283 | null | null | null |
1.5 | null | 9 | null | 0.123617 | null | null | null |
YAML Metadata Warning:empty or missing yaml metadata in repo card
Check out the documentation for more information.
Independent reproduction of ICML 2026 paper VnA5q5jXVz (arXiv 2602.14029), Wu, Yang & Sun. No official code was released; everything here is written from the paper.
| Claim | Content | Status | Evidence |
|---|---|---|---|
| 1 | Deterministic-equivalent recursion R*_t = B*_t (forgetting, up) + V*_t (noise, down exp) |
verified | claim1_decomposition.py, general_cov.py (spiked Thm 3.2 and general Thm 4.2) |
| 2 | U-shaped risk & optimal early stopping, strictly under anisotropy (s>1) | verified | claim2_ushape.py (Fig 1b, Fig 3a) |
| 3 | Direction-dependent spectral filter: survival (s/(s+tau))^{t+1}, noise (1+tau)^{-t} |
verified | claim3_spectral.py |
| 4 | iGCV consistently estimates risk & recovers t* with no validation set | verified | claim4_igcv.py |
| 5 | Trade-off persists for deep nets (ResNet-50 / CIFAR-10 self-distillation) | verified (GPU Job) | cifar_selfdistill.py (Fig 6a) |
src/linear_selftrain.py — Algorithm 1 (ridgeless/ridge self-training), spiked Thm 3.2,
multi-spike Thm 3.6, general deterministic-equivalent recursion (Def 4.1 / eq 10),
iGCV (eq 11-12), fast structured samplers.src/plotting.py — Plotly + CSV export helpers.claim{1,2,3,4}_*.py, general_cov.py — per-claim reproductions (linear theory, CPU).cifar_selfdistill.py — PEP-723 UV script for the ResNet-50/CIFAR-10 experiment (HF GPU Job).outputs/ — generated figures (HTML) + raw data (CSV) per claim.# linear-theory claims (CPU, ~1 min each). WSL2 note: single-thread BLAS is faster.
uv run --env-file .env python claim1_decomposition.py # .env pins OPENBLAS_NUM_THREADS=1
uv run --env-file .env python claim2_ushape.py
uv run --env-file .env python claim3_spectral.py
uv run --env-file .env python claim4_igcv.py
uv run --env-file .env python general_cov.py
# deep-net claim (GPU): run on Hugging Face Jobs
hf jobs uv run --flavor a10g-small --secrets HF_TOKEN cifar_selfdistill.py \
--n 10000 --K 4 --epochs 40 --etas 0.4,0.6,0.8