Fisher-Geometric Diffusion in Stochastic Gradient Descent: Optimal Rates, Oracle Complexity, and Information-Theoretic Limits

arXiv 2603.02417•41b479e34343a7244b289af2f9a280e058e9825edeb8da224d5e7d5759dd993f
Finsler-geometryFisher-informationGodambe-matrixGromov-WassersteinPOMDPs','belief-space-metrics','clustering','elbow-method','UMAPSHAPSPD-matricescategorical-datacausal-inferencecombinatorial-algorithmsconformal-predictiondensity-clusteringdifferential-geometrydiffusion-approximationfunctional-ANOVAgeneralized-Bayesgraphslow-degree-methodmachine-learningmartingale-posteriorrobust-subspace-recoverysparse-PCAstatisticsstochastic-gradient-descentuncertainty-quantification

Paper metadata

arXiv ID
2603.02417
Version
Not specified by this published record
Category
Statistics — Machine Learning (stat.ML)

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Evidence and limitations

Source ID
arxiv_stat_ml
Record identifier
41b479e34343a7244b289af2f9a280e058e9825edeb8da224d5e7d5759dd993f
Enrichment time
2026-03-04T20:00:20Z
AI-assisted enrichment
Yes

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Fisher-Geometric Diffusion in Stochastic Gradient Descent: Optimal Rates, Oracle Complexity, and Information-Theoretic Limits · Baitaphish