1)Research & Literature Review
• Conduct an in-depth literature review on Proximal Difference-of-Convex (DC) algorithms and related optimization techniques.
• Identify key advancements and gaps in current research.
2) Algorithm Development & Implementation
• Assist in designing and implementing proximal DC algorithms for large-scale optimization problems.
• Develop numerical methods and computational models to test algorithm performance.
3) Data Analysis & Experimentation
• Conduct simulations and experiments to validate theoretical results.
• Compare proposed methods with existing algorithms in terms of convergence, efficiency, and scalability.
4) Software Development & Coding
• Write and optimize Python/Matlab code for algorithm implementation.
• Utilize libraries such as NumPy, SciPy, TensorFlow/PyTorch for numerical experiments.
5) Collaboration & Documentation
• Work closely with faculty members, postdocs, and PhD students on research projects.
• Prepare technical reports, research papers, and presentations for academic conferences and journals.