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…
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…
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…