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stat.ML2025

Higher-Order Asymptotics of Test-Time Adaptation for Batch Normalization Statistics

Masanari Kimura

This study develops a higher-order asymptotic framework for test-time adaptation (TTA) of Batch Normalization (BN) statistics under distribution shift by integrating classical Edge…

stat.ML2025

Graph-Smoothed Bayesian Black-Box Shift Estimator and Its Information Geometry

Masanari Kimura

Label shift adaptation aims to recover target class priors when the labelled source distribution and the unlabelled target distribution share bu…

stat.ML2025

Generalized Power Priors for Improved Bayesian Inference with Historical Data

Masanari Kimura, Howard Bondell

The power prior is a class of informative priors designed to incorporate historical data alongside current data in a Bayesian framework. It includes a power parameter that controls…

stat.ML2025

Edgeworth Expansion for Semi-hard Triplet Loss

Masanari Kimura

We develop a higher-order asymptotic analysis for the semi-hard triplet loss using the Edgeworth expansion. It is known that this loss function enforces that embeddings of similar…

stat.ML2025

Theoretical and Practical Analysis of Fréchet Regression via Comparison Geometry

Masanari Kimura, Howard Bondell

Fréchet regression extends classical regression methods to non-Euclidean metric spaces, enabling the analysis of data relationships on complex structures such as manifolds and gra…

stat.ML2024

Test-Time Augmentation Meets Variational Bayes

Masanari Kimura, Howard Bondell

Data augmentation is known to contribute significantly to the robustness of machine learning models. In most instances, data augmentation is utilized during the training phase. Tes…