Lectures related to Total sum of squares

Linear Regression: Model Adjustment and Parameter Estimation

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

Quadratic Forms and Symmetric Bilinear Forms

Explores quadratic forms, symmetric bilinear forms, and their properties.

Explores Sum of Squares polynomials and Semidefinite Programming in Polynomial Optimization, enabling the approximation of non-convex polynomials with convex SDP.

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Stress and Strain (beyond 1D)

Covers stress and strain beyond 1D, focusing on hyperstatic systems with pre-stressed elements and internal loads.