Full-Batch Gradient Descent Outperforms One-Pass SGD: Sample Complexity Separation in Single-Index Learning
Paper • 2602.02431 • Published
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 3 new columns ({'mean', 'sem', 'delta'}) and 5 missing columns ({'sq_overlap', 'step', 'dist2', 'norm', 'loss'}).
This happened while the csv dataset builder was generating data using
hf://datasets/vimarsh/icml26332-fullbatch-results/agg_online_quad.csv (at revision 5e21ee9a06603d997b54dbdeb5206694e101a513), ['hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_gd_trunc_r15.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_gd_trunc_r2.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_online_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_online_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_eq313.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_indicator.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_spectrum.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_uniform_bbp.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_control_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_eta_scaling.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_lr_probe.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_phases.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_phases_r15.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_quad_r2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_quad_r2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_time_thresholds.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_time_thresholds_r15.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.025_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.025_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.05_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.05_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.64_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.64_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.8_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.8_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r15_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r15_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1.5_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1.5_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_10_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_10_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_3_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_3_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_4_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_4_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_6_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_6_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1.5_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1.5_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_10_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_10_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_3_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_3_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_4_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_4_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_6_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_6_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/scaling_collapse.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/smooth_vs_hard.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/success_frac_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/success_frac_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_online_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_online_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_smooth.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/thm32_bound.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/threshold_fits.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/thresholds.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
d: int64
delta: double
mean: double
sem: double
-- schema metadata --
pandas: '{"index_columns": [{"kind": "range", "name": null, "start": 0, "' + 705
to
{'d': Value('int64'), 'step': Value('int64'), 'sq_overlap': Value('float64'), 'norm': Value('float64'), 'dist2': Value('float64'), 'loss': 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 3 new columns ({'mean', 'sem', 'delta'}) and 5 missing columns ({'sq_overlap', 'step', 'dist2', 'norm', 'loss'}).
This happened while the csv dataset builder was generating data using
hf://datasets/vimarsh/icml26332-fullbatch-results/agg_online_quad.csv (at revision 5e21ee9a06603d997b54dbdeb5206694e101a513), ['hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_gd_trunc_r15.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_gd_trunc_r2.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_online_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_online_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/agg_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_eq313.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_indicator.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_spectrum.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/audit_uniform_bbp.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_control_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_eta_scaling.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_lr_probe.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_phases.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_phases_r15.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_quad_r2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_quad_r2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_time_thresholds.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_time_thresholds_r15.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.025_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.025_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.05_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.05_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.64_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.64_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.8_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_eta0.8_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r15_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r15_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gd_trunc_r2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1.5_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1.5_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_10_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_10_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_1_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_3_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_3_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_4_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_4_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_6_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_quad_6_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1.5_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1.5_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_10_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_10_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_1_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_2_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_2_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_3_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_3_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_4_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_4_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_6_summary.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/gdd_trunc_6_traj.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/scaling_collapse.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/smooth_vs_hard.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/success_frac_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/success_frac_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_online_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_online_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_quad.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_smooth.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/sweep_trunc.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/thm32_bound.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/threshold_fits.csv', 'hf://datasets/vimarsh/icml26332-fullbatch-results@5e21ee9a06603d997b54dbdeb5206694e101a513/thresholds.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.
d int64 | step int64 | sq_overlap float64 | norm float64 | dist2 float64 | loss float64 |
|---|---|---|---|---|---|
64 | 0 | 0.009831 | 0 | 1 | 1.389713 |
64 | 10 | 0.011109 | 0 | 1 | 1.389713 |
64 | 20 | 0.012597 | 0 | 1 | 1.389713 |
64 | 30 | 0.014327 | 0 | 1 | 1.389713 |
64 | 40 | 0.01634 | 0 | 1 | 1.389713 |
64 | 50 | 0.01868 | 0 | 1 | 1.389713 |
64 | 60 | 0.021398 | 0 | 1 | 1.389713 |
64 | 70 | 0.02455 | 0 | 1 | 1.389713 |
64 | 80 | 0.028198 | 0 | 1 | 1.389713 |
64 | 90 | 0.03241 | 0 | 1 | 1.389713 |
64 | 100 | 0.03726 | 0 | 1 | 1.389713 |
64 | 110 | 0.042823 | 0 | 1 | 1.389713 |
64 | 120 | 0.04918 | 0 | 1 | 1.389713 |
64 | 130 | 0.056409 | 0 | 1 | 1.389713 |
64 | 140 | 0.064584 | 0 | 1 | 1.389713 |
64 | 150 | 0.073772 | 0 | 1 | 1.389713 |
64 | 160 | 0.084027 | 0 | 1 | 1.389713 |
64 | 170 | 0.095386 | 0 | 1 | 1.389713 |
64 | 180 | 0.107863 | 0 | 1 | 1.389713 |
64 | 190 | 0.121442 | 0 | 1 | 1.389713 |
64 | 200 | 0.13608 | 0 | 1 | 1.389713 |
64 | 210 | 0.151698 | 0 | 1 | 1.389713 |
64 | 220 | 0.168186 | 0 | 1 | 1.389713 |
64 | 230 | 0.185406 | 0 | 1 | 1.389713 |
64 | 240 | 0.203195 | 0 | 1 | 1.389713 |
64 | 250 | 0.221375 | 0 | 1 | 1.389713 |
64 | 260 | 0.239763 | 0 | 1 | 1.389713 |
64 | 270 | 0.258175 | 0 | 1 | 1.389713 |
64 | 280 | 0.276438 | 0 | 1 | 1.389713 |
64 | 290 | 0.294397 | 0 | 1 | 1.389713 |
64 | 300 | 0.311916 | 0 | 1 | 1.389713 |
64 | 310 | 0.328883 | 0 | 1 | 1.389713 |
64 | 320 | 0.345209 | 0 | 1 | 1.389713 |
64 | 330 | 0.36083 | 0 | 1 | 1.389713 |
64 | 340 | 0.375701 | 0 | 1 | 1.389713 |
64 | 350 | 0.389799 | 0 | 1 | 1.389713 |
64 | 360 | 0.403113 | 0 | 1 | 1.389713 |
64 | 370 | 0.415647 | 0 | 1 | 1.389713 |
64 | 380 | 0.427416 | 0 | 1 | 1.389713 |
64 | 390 | 0.438441 | 0 | 1 | 1.389713 |
64 | 400 | 0.448751 | 0 | 1 | 1.389713 |
64 | 410 | 0.458379 | 0 | 1 | 1.389713 |
64 | 420 | 0.467359 | 0 | 1 | 1.389713 |
64 | 430 | 0.475728 | 0 | 1 | 1.389713 |
64 | 440 | 0.483526 | 0 | 1 | 1.389713 |
64 | 450 | 0.490789 | 0 | 1 | 1.389713 |
64 | 460 | 0.497555 | 0 | 1 | 1.389713 |
64 | 470 | 0.503862 | 0 | 1 | 1.389713 |
64 | 480 | 0.509744 | 0 | 1 | 1.389713 |
64 | 490 | 0.515235 | 0 | 1 | 1.389713 |
64 | 500 | 0.520368 | 0 | 1 | 1.389713 |
64 | 510 | 0.525174 | 0 | 1 | 1.389713 |
64 | 520 | 0.529681 | 0 | 1 | 1.389713 |
64 | 530 | 0.533916 | 0 | 1 | 1.389713 |
64 | 540 | 0.537906 | 0 | 1 | 1.389713 |
64 | 550 | 0.541673 | 0 | 1 | 1.389713 |
64 | 560 | 0.54524 | 0 | 1 | 1.389713 |
64 | 570 | 0.548626 | 0 | 1 | 1.389713 |
64 | 580 | 0.55185 | 0 | 1 | 1.389713 |
64 | 590 | 0.554931 | 0 | 1 | 1.389713 |
64 | 600 | 0.557882 | 0 | 1 | 1.389713 |
64 | 610 | 0.56072 | 0 | 1 | 1.389713 |
64 | 620 | 0.563457 | 0 | 1 | 1.389713 |
64 | 630 | 0.566105 | 0 | 1 | 1.389713 |
64 | 640 | 0.568676 | 0 | 1 | 1.389713 |
64 | 650 | 0.571178 | 0 | 1 | 1.389713 |
64 | 660 | 0.573622 | 0 | 1 | 1.389713 |
64 | 670 | 0.576015 | 0 | 1 | 1.389713 |
64 | 680 | 0.578364 | 0 | 1 | 1.389713 |
64 | 690 | 0.580675 | 0 | 1 | 1.389713 |
64 | 700 | 0.582956 | 0 | 1 | 1.389713 |
64 | 710 | 0.585209 | 0 | 1 | 1.389713 |
64 | 720 | 0.587441 | 0 | 1 | 1.389713 |
64 | 730 | 0.589654 | 0 | 1 | 1.389713 |
64 | 740 | 0.591852 | 0 | 1 | 1.389713 |
64 | 750 | 0.594038 | 0 | 1 | 1.389713 |
64 | 760 | 0.596213 | 0 | 1 | 1.389713 |
64 | 770 | 0.598381 | 0 | 1 | 1.389713 |
64 | 780 | 0.600542 | 0 | 1 | 1.389713 |
64 | 790 | 0.602697 | 0 | 1 | 1.389713 |
64 | 800 | 0.604847 | 0 | 1 | 1.389713 |
64 | 810 | 0.606993 | 0 | 1 | 1.389713 |
64 | 820 | 0.609134 | 0 | 1 | 1.389713 |
64 | 830 | 0.611272 | 0 | 1 | 1.389713 |
64 | 840 | 0.613404 | 0 | 1 | 1.389713 |
64 | 850 | 0.615531 | 0 | 1 | 1.389713 |
64 | 860 | 0.617653 | 0 | 1 | 1.389713 |
64 | 870 | 0.619768 | 0 | 1 | 1.389713 |
64 | 880 | 0.621874 | 0 | 1 | 1.389713 |
64 | 890 | 0.623973 | 0 | 1 | 1.389713 |
64 | 900 | 0.626061 | 0 | 1 | 1.389713 |
64 | 910 | 0.628137 | 0 | 1 | 1.389713 |
64 | 920 | 0.630201 | 0 | 1 | 1.389713 |
64 | 930 | 0.632251 | 0 | 1 | 1.389713 |
64 | 940 | 0.634286 | 0 | 1 | 1.389713 |
64 | 950 | 0.636303 | 0 | 1 | 1.389713 |
64 | 960 | 0.638303 | 0 | 1 | 1.389713 |
64 | 970 | 0.640283 | 0 | 1 | 1.389713 |
64 | 980 | 0.642241 | 0 | 1 | 1.389713 |
64 | 990 | 0.644178 | 0 | 1 | 1.389713 |
Raw and aggregated results for an independent reproduction of arXiv:2602.02431 / OpenReview QItZDBVCT0.
All numbers were produced locally on 2x NVIDIA RTX 4000 Ada with the scripts in the
reproduction logbook (scripts/sim.py, scripts/sweep_spherical.py,
scripts/sweep_online_sgd.py, scripts/sweep_squared_gd.py, scripts/spectral_audit.py,
scripts/thm32_bound.py).
| file | contents |
|---|---|
sweep_quad.csv |
full-batch spherical GD, σ(z)=z², per-run squared overlap (Claim 1) |
sweep_trunc.csv |
full-batch spherical GD, σ(z)=min(z²,8) (Claims 2/5) |
sweep_smooth.csv |
same with the C^∞ truncation of paper eq. (3.10) (robustness) |
sweep_online_{trunc,quad}.csv |
one-pass spherical SGD baseline over a grid of η=c/d (Claim 5) |
gd_trunc_r2_{traj,summary}.csv |
squared-loss full-batch GD, r₀=d⁻² (Claims 3/4) |
gd_trunc_r15_{traj,summary}.csv |
squared-loss full-batch GD, r₀=d⁻¹⁵ (exact Theorem 4.1 setting) |
gd_quad_r2_*, gdd_* |
untruncated-activation and δ-sweep controls |
gd_trunc_eta*_* |
learning-rate sweep for the O(log d / η) phase-1 length |
audit_{spectrum,uniform_bbp,indicator}.csv |
numerical audits of the spectral statements |
thm32_bound.csv |
audit of the Theorem 3.2 deficit bound 1 − C(e^{−M/2} + (d/n)^{1/5}) |
agg_*.csv, thresholds.csv, threshold_fits.csv |
aggregated curves and log-d fits |