We extend the polynomial regression to include L2-regularization. Weight vectors are calculated for different regularization parameters (λ values). Training and test errors are calculated for each λ ...
The present paper introduces a method of basis transformation of a vector space that is specifically applicable to polynomials space and differential equations with certain polynomials solutions such ...
Abstract: Data vectors generalise finite multisets: they are finitely supported functions into a commutative monoid. We study the question whether a given data vector can be expressed as a finite sum ...
Abstract: We examine linear programming (LP) based relaxations for synthesizing polynomial Lyapunov functions to prove the stability of polynomial ordinary differential equations (ODEs). Our approach ...
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