Integer Programming Courses and Certifications

GERAD Research Center

Enhancing General-Purpose Simulation-Based Optimization Algorithms Via Mixed Integer Linear Programming: A Case Study in Autonomous Ridesharing

Enhance simulation-based optimization for complex stochastic problems using mixed integer linear programming, illustrated through an autonomous ridesharing case study.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

NDC Conferences

Building AI Solutions with Google OR-Tools

Learn to build AI solutions using Google OR-Tools for optimization problems. Explore constraint programming, linear programming, and mixed-integer programming through practical examples like Sudoku and scheduling.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Conference Talk

Wrath of Math

Pokémon Problem from the 2023 IMO Shortlist - Math Competition Challenge

Dive into a challenging Pokémon-themed algebra problem from the 2023 IMO shortlist, exploring optimal food distribution strategies to minimize dissatisfaction with integer constraints.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Constrained and Unconstrained Optimization

Comprehensive exploration of optimization techniques, covering linear and nonlinear programming, integer programming, transportation problems, and multi-objective decision making.

• YouTube
• 1 day 6 hours
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Fair and Interpretable Decision Rules for Binary Classification

Explore fair and interpretable decision rules for binary classification using Boolean rule sets in DNF, with a focus on maximizing accuracy while maintaining group fairness constraints.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Computational Complexity in Theory and in Practice by Richard M. Karp

Explore the contrast between theoretical and practical approaches to algorithm efficiency, covering complexity classes, NP-completeness, approximation algorithms, and real-world applications.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Grothendieck Inequality by Gadadhar Misra

Explore the Grothendieck inequality, its consequences, and related concepts in mathematics. Learn about max cut problems, cut norms, and proofs, including Kirvine's approach to this fundamental inequality.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Alan Turing Institute

Delayed Column Generation in Large Scale Integer Optimization Problems

Explore delayed column generation for solving large-scale mixed integer programming problems, focusing on applications in data science and decision mathematics.

• YouTube
• 2 hours 41 minutes
• Self-Paced
• Free Video

Wolfram

The State of Optimization - Practical Problem Solving with Constraints

Explore practical problem-solving through constraint formulation and specialized optimization methods. Gain insights into advanced techniques for tackling complex challenges.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

The Julia Programming Language

The State of JuMP - Progress and Developments in Julia Optimization

Explore recent advancements and developments in JuMP, the Julia-based mathematical optimization package, over the past year.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Simons Institute

Reinforcement Learning in Recommender Systems - Some Challenges

Explore challenges in applying reinforcement learning to recommender systems, including scale, stochastic action sets, and user learning over long horizons. Gain insights on addressing these issues.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

The Julia Programming Language

The State of JuMP - Progress and Future Plans

Explore JuMP's progress, new features, and future plans for mathematical optimization in Julia. Learn about governance changes, NSF funding, and how to get involved in this powerful modeling language.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Mixed Integer Optimization in High Dimensions

Explore advanced techniques for solving high-dimensional mixed integer optimization problems, focusing on cutting-edge algorithms and theoretical foundations.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

On Circuit Imbalance Measures and Their Role in Circuit Augmentation Algorithms

Explore new combinatorial condition numbers for linear and integer programs, their relation to existing measures, and their impact on circuit diameter bounds and simplex methods.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Introduction to Parameterized Algorithms and Applications

Explore parameterized complexity and its applications in discrete optimization, focusing on LP-guided techniques, Lenstra's algorithm, and structured ILPs using Graver bases.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video