Lectures related to Optimization in Engineering

Optimization with Constraints: Theory and Applications

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.

Covers the optimization of energy systems, focusing on solving equations and numerical methods.

Explores energy systems modeling, optimization, and cost analysis for efficient operations.

Linear Optimization Techniques: Problem Solving Approaches

Provides an overview of linear optimization techniques, focusing on problem-solving methods and the importance of constraints and objective functions.

Energy Conversion Methods

Covers energy system, numerical methods, Newton-Raphson, convergence, and efficient equation solving.

Optimization with Constraints: KKT Conditions

Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.

Optimisation in Energy Systems

Explores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.

Approximation Algorithms

Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.

Energy System Modeling: Optimization and Performance Indicators

Explores energy system modeling using optimization techniques and performance indicators.

Linear Programming: Weighted Bipartite Matching

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.

Systems for Health, Security, Energy and the Environment

Covers the Swiss Research Program on Engineering Multi-Scale Systems for Health, Security, Energy, and the Environment.

Advanced Analysis II: Cauchy Problem and Differential Equations

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

Differentiable Functions and Lagrange Multipliers Log in to Mediaspace to watch this video

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Master's Program in Computational Science and Engineering Log in to Mediaspace to watch this video

Outlines the Master's program in Computational Science and Engineering at EPFL, detailing its structure, curriculum, and career opportunities for graduates.

Cutset Formulation: MST Problem Log in to Mediaspace to watch this video

Explores the cutset formulation for the MST Problem and Gomory Cutting Planes method.

Introduction to Optimization Log in to Mediaspace to watch this video

Covers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.

Optimization with Lagrange Multipliers Log in to Mediaspace to watch this video

Covers advanced optimization techniques using Lagrange multipliers to find extrema of functions subject to constraints.

Master in Computational Science and Engineering Overview Log in to Mediaspace to watch this video

Outlines the Master in Computational Science and Engineering at EPFL, detailing its structure, admission criteria, and career opportunities for graduates.

Branch & Bound: Optimization Log in to Mediaspace to watch this video

Covers the Branch & Bound algorithm for efficient exploration of feasible solutions and discusses LP relaxation, portfolio optimization, Nonlinear Programming, and various optimization problems.

Integer Programs: Optimization and Constraints Log in to Mediaspace to watch this video

Explores integer programs, nonconvex optimization, constraints, and geometric aspects of linear programming for optimal solutions.