4 papers
An information-geometric framework for mapping maximum potential biodiversity
Shinto Eguchi
Biodiversity measures are often used descriptively: one computes a diversity index from an observed or estimated community composition and maps the resulting values across space. C…
Implicit geometric regularization in flow matching via density weighted Stein operators
Shinto Eguchi
Flow Matching (FM) has emerged as a powerful paradigm for continuous normalizing flows, yet standard FM implicitly performs an unweighted regression over the entire ambient s…
Robust inference using density-powered Stein operators
Shinto Eguchi
We introduce a density-power weighted variant of the Stein operator, called the -Stein operator, for robust inference with unnormalized probability models. The operator is motiv…
Statistical Inference via Generative Models: Flow Matching and Causal Inference
Shinto Eguchi
Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechani…