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cs.LG2026
The Risk Shadow of Principal Component Analysis: When 99.9999% Variance Preservation Causes Catastrophic Decision Errors
Hamidou Tembine
Principal Component Analysis (PCA) preserves variance, not the information needed to detect rare catastrophic events. This paper proves the existence of a {\it Risk Shadow}: PCA ca…
cs.LG2026
An Explicit Surrogate for Gaussian Mixture Flow Matching with Wasserstein Gap Bounds
Elham Rostami, Taous-Meriem Laleg-Kirati, Hamidou Tembine
We study training-free flow matching between two Gaussian mixture models (GMMs) using explicit velocity fields that transport one mixture into the other over time. Our baseline app…