Notice: 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. Full accuracy metrics and methodology are described in Coakley et alK. L. Coakley, T. Snelleman, H. Hoos, and O. E. Gundersen, "The Shift Toward Open and Reproducible AI Research," Under Review, 2026. doi: 10.48550/arXiv.2606.16974..
Depth-Bounds for Neural Networks via the Braid Arrangement
Authors: Moritz Grillo, Christoph Hertrich, Georg Loho
NeurIPS 2025 | Venue PDF | LLM Run Details | Input Tokens: 20,770 Total number of tokens sent to the LLM as input for this paper's analysis. | Output Tokens: 2,618 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 | Answer: [NA] Justiļ¬cation: No experiments. (from Neur IPS Paper Checklist, point 4. Experimental result reproducibility) |
| Researcher Affiliation | Academia | Moritz Grillo Max Planck Institute for Mathematics in the Sciences EMAIL Christoph Hertrich University of Technology Nuremberg EMAIL Georg Loho Freie UniversitƤt Berlin University of Twente EMAIL |
| Pseudocode | No | The paper primarily focuses on theoretical proofs, mathematical derivations, and analysis of neural network properties. It does not contain any sections explicitly labeled 'Pseudocode' or 'Algorithm', nor does it present structured, code-like procedural steps. |
| Open Source Code | No | Answer: [NA] Justiļ¬cation: No experiments. (from Neur IPS Paper Checklist, point 5. Open access to data and code) |
| Open Datasets | No | Answer: [NA] Justiļ¬cation: No experiments. (from Neur IPS Paper Checklist, point 5. Open access to data and code, which covers datasets) |
| Dataset Splits | No | Answer: [NA] Justiļ¬cation: No experiments. (from Neur IPS Paper Checklist, point 6. Experimental setting/details) |
| Hardware Specification | No | Answer: [NA] Justiļ¬cation: No experiments. (from Neur IPS Paper Checklist, point 8. Experiments compute resources) |
| Software Dependencies | No | Answer: [NA] Justiļ¬cation: No experiments. (from Neur IPS Paper Checklist, point 6. Experimental setting/details) |
| Experiment Setup | No | Answer: [NA] Justiļ¬cation: No experiments. (from Neur IPS Paper Checklist, point 6. Experimental setting/details) |