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Equilibrium computation in markets usually considers settings where player valuation functions are known. We consider the setting where player valuations are unknown; using a PAC learning-theoretic framework, we analyze some classes of…

Computer Science and Game Theory · Computer Science 2021-09-10 Vignesh Viswanathan , Omer Lev , Neel Patel , Yair Zick

Loss minimization is a dominant paradigm in machine learning, where a predictor is trained to minimize some loss function that depends on an uncertain event (e.g., "will it rain tomorrow?''). Different loss functions imply different…

Machine Learning · Computer Science 2021-09-14 Parikshit Gopalan , Adam Tauman Kalai , Omer Reingold , Vatsal Sharan , Udi Wieder

The Fundamental Theorem of Statistical Learning states that a hypothesis space is PAC learnable if and only if its VC dimension is finite. For the agnostic model of PAC learning, the literature so far presents proofs of this theorem that…

Machine Learning · Computer Science 2025-09-29 Lothar Sebastian Krapp , Laura Wirth

We propose an analysis in fair learning that preserves the utility of the data while reducing prediction disparities under the criteria of group sufficiency. We focus on the scenario where the data contains multiple or even many subgroups,…

Machine Learning · Statistics 2022-11-30 Changjian Shui , Gezheng Xu , Qi Chen , Jiaqi Li , Charles Ling , Tal Arbel , Boyu Wang , Christian Gagné

Multi-distribution learning extends agnostic Probably Approximately Correct (PAC) learning to the setting in which a family of $k$ distributions, $\{D_i\}_{i\in[k]}$, is considered and a classifier's performance is measured by its error…

Machine Learning · Computer Science 2025-06-24 Chicheng Zhang , Yihan Zhou

We consider PAC learning of probability distributions (a.k.a. density estimation), where we are given an i.i.d. sample generated from an unknown target distribution, and want to output a distribution that is close to the target in total…

Machine Learning · Computer Science 2018-06-05 Hassan Ashtiani , Shai Ben-David , Abbas Mehrabian

In many learning theory problems, a central role is played by a hypothesis class: we might assume that the data is labeled according to a hypothesis in the class (usually referred to as the realizable setting), or we might evaluate the…

Machine Learning · Computer Science 2022-11-17 Lunjia Hu , Charlotte Peale

Meta-learning can successfully acquire useful inductive biases from data. Yet, its generalization properties to unseen learning tasks are poorly understood. Particularly if the number of meta-training tasks is small, this raises concerns…

Machine Learning · Statistics 2021-06-21 Jonas Rothfuss , Vincent Fortuin , Martin Josifoski , Andreas Krause

Classical PAC generalization bounds on the prediction risk of a classifier are insufficient to provide theoretical guarantees on fairness when the goal is to learn models balancing predictive risk and fairness constraints. We propose a…

In most real-world applications of artificial intelligence, the distributions of the data and the goals of the learners tend to change over time. The Probably Approximately Correct (PAC) learning framework, which underpins most machine…

Machine Learning · Computer Science 2025-11-13 Yuxin Bai , Cecelia Shuai , Ashwin De Silva , Siyu Yu , Pratik Chaudhari , Joshua T. Vogelstein

Learning a fair predictive model is crucial to mitigate biased decisions against minority groups in high-stakes applications. A common approach to learn such a model involves solving an optimization problem that maximizes the predictive…

Machine Learning · Computer Science 2023-06-08 Abhin Shah , Maohao Shen , Jongha Jon Ryu , Subhro Das , Prasanna Sattigeri , Yuheng Bu , Gregory W. Wornell

Uncertainty quantification is a key component of machine learning models targeted at safety-critical systems such as in healthcare or autonomous vehicles. We study this problem in the context of meta learning, where the goal is to quickly…

Machine Learning · Computer Science 2022-10-17 Sangdon Park , Edgar Dobriban , Insup Lee , Osbert Bastani

Bipartite ranking, which aims to learn a scoring function that ranks positive individuals higher than negative ones from labeled data, is widely adopted in various applications where sample prioritization is needed. Recently, there have…

Machine Learning · Computer Science 2021-06-08 Sen Cui , Weishen Pan , Changshui Zhang , Fei Wang

We design differentially private learning algorithms that are agnostic to the learning model. Our algorithms are interactive in nature, i.e., instead of outputting a model based on the training data, they provide predictions for a set of…

Machine Learning · Computer Science 2018-03-15 Raef Bassily , Om Thakkar , Abhradeep Thakurta

We study the computational complexity of adversarially robust proper learning of halfspaces in the distribution-independent agnostic PAC model, with a focus on $L_p$ perturbations. We give a computationally efficient learning algorithm and…

Machine Learning · Computer Science 2020-07-31 Ilias Diakonikolas , Daniel M. Kane , Pasin Manurangsi

We study a generalization of boosting to the multiclass setting. We introduce a weak learning condition for multiclass classification that captures the original notion of weak learnability as being "slightly better than random guessing". We…

Machine Learning · Computer Science 2023-07-04 Nataly Brukhim , Amit Daniely , Yishay Mansour , Shay Moran

We introduce Learning-Augmented Control (LAC), an approach that integrates untrusted machine learning predictions into the control of constrained, nonlinear dynamical systems. LAC is designed to achieve the "best-of-both-worlds" guarantees,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Tongxin Li

We study PAC learnability and PAC stabilizability of Hedonic Games (HGs), i.e., efficiently inferring preferences or core-stable partitions from samples. We first expand the known learnability/stabilizability landscape for some of the most…

Computer Science and Game Theory · Computer Science 2023-02-01 Simone Fioravanti , Michele Flammini , Bojana Kodric , Giovanna Varricchio

In reinforcement learning, the classic objectives of maximizing discounted and finite-horizon cumulative rewards are PAC-learnable: There are algorithms that learn a near-optimal policy with high probability using a finite amount of samples…

Machine Learning · Computer Science 2023-07-04 Cambridge Yang , Michael Littman , Michael Carbin

We informally call a stochastic process learnable if it admits a generalization error approaching zero in probability for any concept class with finite VC-dimension (IID processes are the simplest example). A mixture of learnable processes…

Machine Learning · Statistics 2015-07-27 Cosma Rohilla Shalizi , Aryeh Kontorovich