Toolbox

Linear Programming:

• Linear Algebra

• Numerical Computation

• Duality

Nonlinear Programming:

• Second-order Cone Programming (SOCP)

• Semidefinite Programming (SDP)

• Successive Convex Approximation (SCA)

• Concave-Convex Procedure (CCP)

Integer Programming:

• Branch-and-Bound (B & B)

• Lagrangian Relaxation

• Approximation Algorithm

• Transportation and Assignment Problem

• Facility Location Problem

• Traveling Salesman Problem (TSP)

Fractional Programming:

• Charnes-Cooper Transform

• Dinkelbach's Transform

Distributed Optimization:

• Alternating Direction Method of Multipliers (ADMM)

• Distributed Primal-Dual Method

Dynamic Programming

• Markov Decision Process (MDP)

Machine Learning

• Support Vector Machine (SVM)

Deep Learning

• Beamforming Neural Networks (BNN)

• Graph Neural Network (GNN) 

• Adaptive Moment Estimation (ADAM)

Graph Theory

• Shortest Path Problem

Adaptive Signal  Processing:

• Wiener Filter

• Least Mean Square (LMS)

• Kalman Filter

• General Sidelobe Canceller (GSC)

• MUltiple SIgnal Classification (MUSIC)

Information Theory (Communication)

• Blahut-Arimoto Algorithm

• Fixed-Point Theory

• Perron-Frobenius Theorem

• Weighted Minimum Mean-Square Error (WMMSE)