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YMRohit/icml20531-adam-degenerate-repro

Independent reproduction: Adam on degenerate polynomials This repository contains the independent code, predeclared claim contract, raw results, audit scripts, and figures for ICML 2026 submission 20531, “Towards Understanding Adam Convergence on Highly Degenerate Polynomials” (OpenReview uYWVGk1Qt0, arXiv 2603.09581). The implementation does not depend on author code. It explicitly implements the paper's asymptotic model: uncorrected Adam, zero epsilon, and monomial objectives… See the full description on the dataset page: https://huggingface.co/datasets/YMRohit/icml20531-adam-degenerate-repro.

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Independent reproduction: Adam on degenerate polynomials

This repository contains the independent code, predeclared claim contract, raw results, audit scripts, and figures for ICML 2026 submission 20531, “Towards Understanding Adam Convergence on Highly Degenerate Polynomials” (OpenReview uYWVGk1Qt0, arXiv 2603.09581).

The implementation does not depend on author code. It explicitly implements the paper's asymptotic model: uncorrected Adam, zero epsilon, and monomial objectives L(x)=x^k/k for even k>=4.

Local reproduction

bash
python -m unittest discover -s tests -v
python scripts/run_reproduction.py --device cpu --output-dir outputs/local_full
python scripts/audit_results.py \
  --results outputs/local_full/results.json \
  --output outputs/local_full/audit.json
UV_CACHE_DIR=.uv-cache MPLCONFIGDIR=.mplconfig \
  uv run --with matplotlib python scripts/plot_results.py \
  --results-dir outputs/local_full \
  --output-dir outputs/local_full/figures

Public evidence

  • —Frozen source revision: https://huggingface.co/datasets/YMRohit/icml20531-adam-degenerate-repro/commit/8cb6d242b22e35945ab2e59ee160e4a21cdc3b52
  • —Completed Tesla T4 Job: https://huggingface.co/jobs/YMRohit/6a5905ed85d9643ce16d683d
  • —GPU raw outputs and independent audit: https://huggingface.co/datasets/YMRohit/icml20531-adam-degenerate-repro/tree/main/gpu_jobs/adam20531-t4-full-v1
  • —Public Trackio metrics: https://huggingface.co/spaces/YMRohit/icml20531-adam-degenerate-metrics

The final Trackio logbook link will be added after independent review, strict Posterly validation, publication, and remote readback.