Worst Case Performance
Worst-case performance analysis aims to identify and mitigate the most detrimental outcomes of algorithms and systems, crucial for safety-critical applications. Current research focuses on developing methods to efficiently compute worst-case performance, particularly for distributed optimization algorithms and deep neural networks, often leveraging techniques like semidefinite programming and adversarial training. This research is vital for improving the reliability and robustness of various systems, ranging from machine learning models to approximate nearest neighbor search algorithms, ensuring dependable performance even under challenging conditions. The ultimate goal is to create more resilient and trustworthy systems across diverse domains.