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Convex functions and Bregman divergence: Convex functions

Examples of divergence

Divergence between two points

Manifolds of probability distributions: Discrete distributions

Manifolds of probability distributions: Gaussian distributions

Information geometry and mechanics

An overview of information geometry

Computational Geometric Mechanics

Tridiagonal system for cubic spline interpolation

Cubic spline interpolation

Introduction to splines

Properties of divided differences

Newton interpolating polynomial from divided difference table

Algorithm: Divided differences

Divided differences

Newton form of interpolating polynomial

Properties of polynomial interpolation

Lagrange polynomial interpolation

Types of interpolation

Approximation vs. interpolation

Summary of numerical methods for algebraic equations

Application: Roots of a complex function

Application: Unconstrained minimization of a scalar function of several variables

Algorithm: Newton's method for systems