Optimization Theory

  1. Applications and Case Studies
    1. Engineering Applications
      1. Structural Optimization
        1. Topology Optimization
          1. Shape Optimization
            1. Size Optimization
            2. Control Systems
              1. Model Predictive Control
                1. LQR and LQG Control
                  1. Robust Control Design
                  2. Signal Processing
                    1. Filter Design
                      1. Compressed Sensing
                        1. Beamforming
                      2. Machine Learning Applications
                        1. Supervised Learning
                          1. Support Vector Machines
                            1. Logistic Regression
                              1. Neural Network Training
                              2. Unsupervised Learning
                                1. Clustering Algorithms
                                  1. Principal Component Analysis
                                    1. Matrix Factorization
                                    2. Reinforcement Learning
                                      1. Policy Optimization
                                        1. Value Function Approximation
                                      2. Finance and Economics
                                        1. Portfolio Optimization
                                          1. Mean-Variance Optimization
                                            1. Risk Parity
                                              1. Black-Litterman Model
                                              2. Risk Management
                                                1. Value at Risk
                                                  1. Conditional Value at Risk
                                                    1. Stress Testing
                                                    2. Algorithmic Trading
                                                      1. Execution Algorithms
                                                        1. Market Making
                                                      2. Operations Research Applications
                                                        1. Supply Chain Management
                                                          1. Facility Location
                                                            1. Inventory Management
                                                              1. Distribution Planning
                                                              2. Transportation
                                                                1. Vehicle Routing
                                                                  1. Crew Scheduling
                                                                    1. Traffic Flow Optimization
                                                                    2. Manufacturing
                                                                      1. Production Planning
                                                                        1. Scheduling Problems
                                                                          1. Quality Control
                                                                        2. Energy and Environment
                                                                          1. Power System Optimization
                                                                            1. Economic Dispatch
                                                                              1. Unit Commitment
                                                                                1. Optimal Power Flow
                                                                                2. Renewable Energy Integration
                                                                                  1. Environmental Management
                                                                                    1. Pollution Control
                                                                                      1. Resource Allocation

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                                                                                  12. Specialized Optimization Topics

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                                                                                  14. Computational Aspects and Software