Vectorizing Functions for Optimization

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Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Objective function, Preconditioning

Explores the condition number in optimization and the technique of preconditioning.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Geometry and Symmetry in Non-Convex Optimization

Delves into benign non-convexity, principal component analysis, low-rank matrix completion, and community detection in optimization.

Traveling Salesman Problem: Introduction and Approximation Methods

Introduces the Traveling Salesman Problem and explores approximation methods using Markov chains.

Convex Optimization Tutorial: KKT Conditions

Explores KKT conditions in convex optimization, covering dual problems, logarithmic constraints, least squares, matrix functions, and suboptimality of covering ellipsoids.

Grasshopper Introduction: Compactness Algorithm

Introduces the Grasshopper algorithm focusing on the concept of compactness in urban environments.

Support Vector Machines: SVM Basics

Covers the basics of Support Vector Machines, focusing on hard-margin and soft-margin formulations.

Optimization Techniques: Convexity in Machine Learning

Covers optimization techniques in machine learning, focusing on convexity and its implications for efficient problem-solving.

Elastic Solid Energy Computation

Covers the computation of elastic energy in solid mechanics and equilibrium steps using conjugate gradients.