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stat.ML2025
Evaluating Singular Value Thresholds for DNN Weight Matrices based on Random Matrix Theory
Kohei Nishikawa, Koki Shimizu, Hiroki Hashiguchi
This study evaluates thresholds for removing singular values from singular value decomposition-based low-rank approximations of deep neural network weight matrices. Each weight mat…
math.ST2025
Exact Distribution of the Noncentral Complex Roy's Largest Root Statistic via Pieri's Formula
Koki Shimizu, Hiroki Hashiguchi
In this study, we derive the exact distribution and moment of the noncentral complex Roy's largest root statistic, expressed as a product of complex zonal polynomials. We show that…