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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    ArrowInvalid
Message:      Schema at index 1 was different: 
orid: string
arxiv_id: string
title: string
area: string
authors: list<item: string>
arxiv_url: string
openreview_url: string
text_source: string
full_text: bool
vs
seeds: int64
cases: list<item: struct<d: int64, p: double, target: string, lam: double, agg: list<item: struct<n: int64, h: double, sup_err_mean: double, sup_err_sd: double, sup_err_max: double, prop1_bound: double, bound_ratio_max: double>>, slope_vs_n: double, slope_vs_n_ci95: double, slope_vs_n_r2: double, predicted_slope_n: double, slope_vs_h: double, slope_vs_h_ci95: double, slope_vs_h_r2: double, predicted_slope_h: double, worst_one_sided_violation: double, one_sided_comparisons: int64, bound_holds_all: bool, worst_bound_ratio: double, sup_err_at_max_n: double>>
negative_control: struct<agg: list<item: struct<n: int64, h: double, sup_err_mean: double, sup_err_sd: double, sup_err_max: double, prop1_bound: double, bound_ratio_max: double>>, plateau_mean: double, err_at_max_n: double, ratio_err_to_plateau: double>
runtime_s: double
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1858, in _prepare_split_single
                  num_examples, num_bytes = writer.finalize()
                                            ~~~~~~~~~~~~~~~^^
                File "/usr/local/lib/python3.14/site-packages/datasets/arrow_writer.py", line 781, in finalize
                  self.write_rows_on_file()
                  ~~~~~~~~~~~~~~~~~~~~~~~^^
                File "/usr/local/lib/python3.14/site-packages/datasets/arrow_writer.py", line 662, in write_rows_on_file
                  table = pa.concat_tables(self.current_rows)
                File "pyarrow/table.pxi", line 6320, in pyarrow.lib.concat_tables
                File "pyarrow/error.pxi", line 155, in pyarrow.lib.pyarrow_internal_check_status
                File "pyarrow/error.pxi", line 92, in pyarrow.lib.check_status
                  raise convert_status(status)
              pyarrow.lib.ArrowInvalid: Schema at index 1 was different: 
              orid: string
              arxiv_id: string
              title: string
              area: string
              authors: list<item: string>
              arxiv_url: string
              openreview_url: string
              text_source: string
              full_text: bool
              vs
              seeds: int64
              cases: list<item: struct<d: int64, p: double, target: string, lam: double, agg: list<item: struct<n: int64, h: double, sup_err_mean: double, sup_err_sd: double, sup_err_max: double, prop1_bound: double, bound_ratio_max: double>>, slope_vs_n: double, slope_vs_n_ci95: double, slope_vs_n_r2: double, predicted_slope_n: double, slope_vs_h: double, slope_vs_h_ci95: double, slope_vs_h_r2: double, predicted_slope_h: double, worst_one_sided_violation: double, one_sided_comparisons: int64, bound_holds_all: bool, worst_bound_ratio: double, sup_err_at_max_n: double>>
              negative_control: struct<agg: list<item: struct<n: int64, h: double, sup_err_mean: double, sup_err_sd: double, sup_err_max: double, prop1_bound: double, bound_ratio_max: double>>, plateau_mean: double, err_at_max_n: double, ratio_err_to_plateau: double>
              runtime_s: double
              
              The above exception was the direct cause of the following exception:
              
              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 1869, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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text
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Theorem 1 (Section V.A) establishes that finitely Ỹ-convex functions form a dense subset of all Ỹ-convex functions, giving a universal approximation property for generalized convex functions.
unverified
Theorem 2 (Section V.A) shows that, under semiconvexity conditions on Φ, gradients of finitely Ỹ-convex functions densely approximate gradients of all Ỹ-convex functions.
unverified
Theorem 4 (Section V.C) proves that the lean subset of finitely Ỹ-convex functions forms a convex parameter space, which is what allows bilevel objectives to be rewritten as single-level problems solvable with standard first-order optimization (Section I).
unverified
Table I reports multi-item auction experiments for n in {1,2,5,10,20} goods in which, for n up to 10, the learned mechanism's revenue matches the Straight-Jacket auction benchmark exactly.
unverified
Figures 2-3 show the learned parametrization recovers the known optimal posted price of 0.5 in the single-item auction case and finds a mixed-bundling pricing scheme matching theoretical benchmarks in the two-item case.
unverified
Kantorovich dual solutions for optimal transport are characterized as Ỹ-convex functions in Section IV, so gradients of the learned parametrization directly yield optimal transport maps via a diffeomorphism condition.
unverified
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