Complexity Bound

Complexity bounds research focuses on determining the computational resources—time and memory—required to solve various problems in computer science and optimization. Current investigations center on analyzing the efficiency of algorithms for diverse tasks, including minimizing functions (e.g., using zeroth-order oracles and gradient methods), approximating functions with neural networks (like ReLU networks and PCA-Nets), and solving constraint satisfaction problems. These analyses yield insights into the fundamental limits of computation and guide the development of more efficient algorithms for machine learning, optimization, and other fields.