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A brief overview of our methodology is provided on the Methods page, along with references to publications documenting our approach and links to the code and data used in each study.


The reproducibility variables underlying each score are classified using an automated LLM-based pipeline, validated against a manually labeled dataset. LLM-based classification introduces uncertainty and potential bias; scores should be interpreted as estimates.

Learning single index models via harmonic decomposition

Authors: Nirmit Joshi, Hugo Koubbi, Theodor Misiakiewicz, Nati Srebro

NeurIPS 2025 | Venue PDF | LLM Run Details | Input Tokens: 68,115 Total number of tokens sent to the LLM as input for this paper's analysis. | Output Tokens: 2,730 Total number of tokens produced by the LLM (including reasoning/thinking tokens) for this paper's analysis.

Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper, we characterize the sample and computational complexity of learning single-index models under general spherically symmetric input distributions. ... We establish the following lower bounds on the sample complexity m and runtime T for recovering w using the low-degree polynomial (LDP) and statistical query (SQ) frameworks. ... There are no experimental results, as this is a theory paper.
Researcher Affiliation Academia Nirmit Joshi Toyota Technological Institute at Chicago EMAIL Hugo Koubbi CEREMADE, UMR 7534, UniversitΓ© Paris Dauphine PSL, Paris , France EMAIL Theodor Misiakiewicz Department of Statistics and Data Science Yale University EMAIL Nathan Srebro Toyota Technological Institute at Chicago EMAIL
Pseudocode Yes Algorithm 1: A spectral algorithm on the frequency β„“= 1 and β„“= 2. ... Algorithm 2: A single step of the boosting algorithm on β„“ 3. ... Algorithm 3: boost-step ... Algorithm 4: Online SGD algorithm on the frequency β„“.
Open Source Code No Justification: There are no experimental results, as this is a theory paper.
Open Datasets No Justification: There are no experimental results, as this is a theory paper.
Dataset Splits No Justification: There are no experimental results, as this is a theory paper.
Hardware Specification No Justification: There are no experimental results, as this is a theory paper.
Software Dependencies No Justification: There are no experimental results, as this is a theory paper.
Experiment Setup No Justification: There are no experimental results, as this is a theory paper.