Tag: structural
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Structural Foundations for Leading Digit Laws: Beyond Probabilistic Mixtures
Structural Foundations for Leading Digit Laws: Beyond Probabilistic Mixtures arXiv:2508.13237v1 Announce Type: new Abstract: This article presents a modern deterministic framework for the study of leading significant digit distributions in numerical data. Rather than relying on traditional probabilistic or mixture-based explanations, we demonstrate that the observed frequencies of leading digits are determined by the underlying…
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Structural Effect and Spectral Enhancement of High-Dimensional Regularized Linear Discriminant Analysis
Structural Effect and Spectral Enhancement of High-Dimensional Regularized Linear Discriminant Analysis arXiv:2507.16682v1 Announce Type: new Abstract: Regularized linear discriminant analysis (RLDA) is a widely used tool for classification and dimensionality reduction, but its performance in high-dimensional scenarios is inconsistent. Existing theoretical analyses of RLDA often lack clear insight into how data structure affects classification performance.…