Optimal Offline
Optimal offline algorithms aim to find the best possible solution given complete knowledge of future events, serving as a benchmark for online algorithms that must make decisions with incomplete information. Current research focuses on developing online algorithms that approach the performance of optimal offline solutions, often incorporating machine learning predictions to improve robustness and efficiency. This work spans various applications, including resource allocation, reinforcement learning, and federated learning, with a strong emphasis on analyzing the trade-offs between worst-case guarantees and average-case performance. The resulting algorithms and theoretical analyses contribute to a deeper understanding of online decision-making under uncertainty and have significant implications for the design of efficient and robust systems in diverse fields.