Tag
conditioning
- Oct 24, 2026 Conditioning, Tolerances, and the Digits a Reproduction Can Demand How the condition number sets the width of the interval a computed result actually occupies, and how that interval determines which differences between two runs are meaningful. scientific computing
- Feb 12, 2026 Scattered Data Interpolation and the Conditioning of Radial Basis Functions Why meshless reconstruction solves a dense linear system, how the kernel choice decides between smoothness and conditioning, and what local stencils recover at a fraction of the cost. scientific computing
- Aug 22, 2025 Least Squares as Orthogonal Projection onto a Design Matrix Why the normal equations are a geometric condition rather than an algebraic trick, what rank deficiency does to the answer, and why forming the Gram matrix costs half the digits. machine learning
- Apr 10, 2023 Ridge Shrinkage in Ill-Conditioned Design Matrices How adding a multiple of the identity to the Gram matrix reweights singular directions, what the bias-variance trade actually buys, and why the penalty must not include the intercept. machine learning