Abstract: In this reading group, we first introduce a popular model of algorithms with predictions, as formulated by Lykouris and Vassilvitskii . After briefly covering the results of this paper, we then discuss two other papers: one on ski rental with predictions , and one describing an LP-duality-based method for analyzing various algorithms-with-predictions settings . Finally, we conclude with an open problems session in which participants collaborate in small groups to identify and clearly define specific new directions.
 Lykouris, Thodoris, and Sergei Vassilvitskii. "Competitive caching with machine learned advice." Journal of the ACM (JACM) 68.4 (2021): 1-25.
 Gollapudi, Sreenivas, and Debmalya Panigrahi. "Online algorithms for rent-or-buy with expert advice." International Conference on Machine Learning. PMLR, 2019.
 Bamas, Étienne, Andreas Maggiori, and Ola Svensson. "The primal-dual method for learning augmented algorithms." Advances in Neural Information Processing Systems 33 (2020): 20083-20094.