Author

Cameron J. Hogan

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#machine learning Jul 2025

Quantum Geometry of Data

The present work provides the first full exposition of QCML as a framework for quantum geometry, establishing its mathematical foundation and demonstrating how operator-level tools from quantum geometry can be directly applied to data.

A. Abanov, Luca Candelori, H. Steinacker et al. · arXiv.org · 2 citations · ⚡1

#machine learning May 2026

Adapt or Forget: Provable Tradeoffs Between Adam and SGD in Nonstationary Optimization

Borders reveal a noise--drift tradeoff: in noise-dominated regimes, first-moment averaging and adaptive preconditioning can yield favorable upper guarantees, whereas in drift-dominated regimes, stale first-moment information and preconditioning can enlarge Adam's tracking guarantee, potentially allowing vanilla SGD to...

Sharan Sahu, Abir Sarkar, Cameron J. Hogan et al. · arXiv.org · 0 citations