On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

Trend · papers per month

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← all fields·2 papers on “wasserstein distance” in Statistical ML · 1 week

Scaling Limits of Constant-Stepsize SGD at Flat Minimacs.LG

SGD with constant stepsize converges to a non-Gaussian limit near flat minima.

problem Behavior of SGD near flat minima with convex objectives.

method Analyzes SGD with Markovian noise and contractive driving chain.

result Invariant law concentrates on scale

α^{1/m}

and converges weakly to a non-Gaussian stationary distribution.

SGD constant stepsize flat minima non-Gaussian limit Wasserstein distance

2026-07-17abs ↗pdf ↗

Linear Independent Component Analysis via Optimal Transportcs.LG

OT-ICA uses optimal transport to find independent components, outperforming traditional methods.

problem Finding independent components from linear mixtures of signals.

method OT-ICA uses the squared Wasserstein distance to maximize non-Gaussianity, optimizing projections via gradient descent.

result OT-ICA outperforms traditional proxy-based methods in various applications.

ICA Optimal Transport Wasserstein Distance Non-Gaussianity Gradient Descent

2026-07-15abs ↗pdf ↗