Polynomial Optimization: SOS and Nonnegative Polynomials

Related lectures (30)

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Explores the decomposition of a function into simple and quadratic factors.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explains the concept of least-squares approximation and its computation in specific and general cases.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Explores comparing models in linear regression through residual sum of squares reduction and F-tests.

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Covers regression methods focusing on spline smoothing and penalised fitting to balance data fidelity and smoothness.

Explores nested model selection in linear models, comparing models through sums of squares and ANOVA, with practical examples.

Explains the decomposition of total sum of squares, model adjustment, and parameter estimation in linear regression.