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L2-centroids and polynomial-based approximations
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DOI：10.1016/j.cnsns.2026.110505.png)
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Abstract
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• A new class of L2-centroids defined as the roots of orthogonal polynomials associated with the distribution. • The proposed L2-centroids provide an analytically tractable alternative to classical quantization. • Closed-form expressions for the two-centroid case are obtained in terms of low-order moments • The two-centroid case enables fast computation and interpretable dependence on distribution’s skewness. • The proposed centroids are applied to clustering and functional approximation problems.
Keywords:
Representative points
Orthogonal polynomials
Cluster analysis
Polynomial approximation
62H30
41A10
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