(Topics include but are not limited to)
Convex optimization and nonlinear programming methods
Combination optimization and integer programming
Distributed optimization and large-scale computing
Statistical Learning Theory and Regularization Methods
Sparse modeling of high-dimensional data and compressive sensing
Data driven decision-making and robust optimization
Time series analysis and prediction
Graph Theory and Network Optimization
Dynamic Programming and Optimal Control
Mathematical Foundations in Machine Learning
Deep learning optimization algorithms (Adam, SGD variants)
Tensor Computation and Polylinear Algebra
Numerical Linear Algebra and Matrix Decomposition
Numerical Solutions and Scientific Computation of Partial Differential Equations
Financial Mathematics and Quantitative Modeling
Traffic flow modeling and logistics optimization
Scheduling and Optimization in Manufacturing Systems
Energy System Optimization and Smart Grid
Mathematical Methods in Bioinformatics
Fundamentals of Image Processing and Computer Vision Mathematics
Uncertainty quantification and stochastic optimization
Game Theory and Mechanism Design
Data Privacy Protection and Federated Learning Mathematics
Convergence analysis of optimization algorithms
Mathematical software and high-performance computing implementation