Ticketed Learning-Unlearning Schemes (via zoom)

Abstract: We consider the learning-unlearning paradigm defined as follows. First given a dataset, the goal is to learn a good predictor, such as one minimizing a certain loss. Subsequently, given any subset of examples that wish to be unlearnt, the goal is to learn, without the knowledge of the original training dataset, a good predictor that is identical to the predictor that would have been produced when learning from scratch on the surviving examples. We propose a new ticketed model for learning--unlearning wherein the learning algorithm can send back additional information in the form of a small-sized (encrypted) ``ticket'' to each participating training example, in addition to retaining a small amount of ``central'' information for later. Subsequently, the examples that wish to be unlearnt present their tickets to the unlearning algorithm, which additionally uses the central information to return a new predictor. We provide space-efficient ticketed learning--unlearning schemes for a broad family of concept classes, including thresholds, parities, intersection-closed classes, among others. En route, we introduce the count-to-zero problem, where during unlearning, the goal is to simply know if there are any examples that survived. We give a ticketed learning--unlearning scheme for this problem that relies on the construction of Sperner families with certain properties, which might be of independent interest.
Joint work with Badih Ghazi, Pritish Kamath, Ravi Kumar, Pasin Manurangsi, and Chiyuan Zhang at Google Research. 
Bio:  Ayush is a postdoc researcher working with Prof. Sasha Rakhlin at MIT. He completed his Ph.D. from the Computer Science department at Cornell University, advised by Professor Karthik Sridharan and Professor Robert D. Kleinberg. His research interests span stochastic optimization, reinforcement learning, and machine unlearning. Before his Ph.D., he spent a year at Google as a part of the inaugural Brain residency program. Before Google, he completed his undergraduate studies in computer science at IIT Kanpur in India where he was awarded the President's Gold medal.