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The standard definition of PAC learning (Valiant 1984) requires learners to succeed under all distributions -- even ones that are intractable to sample from. This stands in contrast to samplable PAC learning (Blum, Furst, Kearns, and Lipton…

Computational Complexity · Computer Science 2025-12-02 Guy Blanc , Caleb Koch , Jane Lange , Carmen Strassle , Li-Yang Tan

When trained on diverse labeled data, machine learning models have proven themselves to be a powerful tool in all facets of society. However, due to budget limitations, deliberate or non-deliberate censorship, and other problems during data…

Machine Learning · Statistics 2022-03-25 Thomas Kehrenberg , Myles Bartlett , Viktoriia Sharmanska , Novi Quadrianto

We prove an exponential separation for the sample complexity between the standard PAC-learning model and a version of the Equivalence-Query-learning model. We then show that this separation has interesting implications for adversarial…

Machine Learning · Computer Science 2021-02-19 Grzegorz Głuch , Rüdiger Urbanke

We initiate the study of a new notion of adversarial loss which we call distributional adversarial loss. In this notion, we assume for each original example, the allowed adversarial perturbation set is a family of distributions, and the…

Machine Learning · Computer Science 2025-06-23 Saba Ahmadi , Siddharth Bhandari , Avrim Blum , Chen Dan , Prabhav Jain

Proper learning refers to the setting in which learners must emit predictors in the underlying hypothesis class $H$, and often leads to learners with simple algorithmic forms (e.g. empirical risk minimization (ERM), structural risk…

Machine Learning · Computer Science 2025-12-10 Julian Asilis , Siddartha Devic , Shaddin Dughmi , Vatsal Sharan , Shang-Hua Teng

We study the extent to which standard machine learning algorithms rely on exchangeability and independence of data by introducing a monotone adversarial corruption model. In this model, an adversary, upon looking at a "clean" i.i.d.…

Machine Learning · Computer Science 2026-01-06 Kasper Green Larsen , Chirag Pabbaraju , Abhishek Shetty

We study the problem of learning robust classifiers where the classifier will receive a perturbed input. Unlike robust PAC learning studied in prior work, here the clean data and its label are also adversarially chosen. We formulate this…

Machine Learning · Computer Science 2026-03-02 Sajad Ashkezari

Existing learning from demonstration algorithms usually assume access to expert demonstrations. However, this assumption is limiting in many real-world applications since the collected demonstrations may be suboptimal or even consist of…

Robotics · Computer Science 2022-03-03 Zhangjie Cao , Zihan Wang , Dorsa Sadigh

Data poisoning attacks, in which an adversary corrupts a training set with the goal of inducing specific desired mistakes, have raised substantial concern: even just the possibility of such an attack can make a user no longer trust the…

Machine Learning · Computer Science 2022-03-09 Maria-Florina Balcan , Avrim Blum , Steve Hanneke , Dravyansh Sharma

Machine learning has witnessed remarkable breakthroughs in recent years. As machine learning permeates various aspects of daily life, individuals and organizations increasingly interact with these systems, exhibiting a wide range of social…

Machine Learning · Computer Science 2024-08-06 Han Shao

Learning distribution families over $\mathbb{R}^d$ is a fundamental problem in unsupervised learning and statistics. A central question in this setting is whether a given family of distributions possesses sufficient structure to be (at…

Machine Learning · Statistics 2025-06-10 Arefe Boushehrian , Amir Najafi

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a…

Machine Learning · Computer Science 2022-07-04 Idan Attias , Aryeh Kontorovich , Yishay Mansour

The existence of evasion attacks during the test phase of machine learning algorithms represents a significant challenge to both their deployment and understanding. These attacks can be carried out by adding imperceptible perturbations to…

Machine Learning · Statistics 2018-06-07 Daniel Cullina , Arjun Nitin Bhagoji , Prateek Mittal

The existence of adversarial examples points to a basic weakness of deep neural networks. One of the most effective defenses against such examples, adversarial training, entails training models with some degree of robustness, usually at the…

Machine Learning · Computer Science 2023-10-05 Matan Levi , Aryeh Kontorovich

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

When data is generated by multiple sources, conventional training methods update models assuming equal reliability for each source and do not consider their individual data quality. However, in many applications, sources have varied levels…

Machine Learning · Computer Science 2025-02-17 Alexander Capstick , Francesca Palermo , Tianyu Cui , Payam Barnaghi

The problem of attempting to learn the mapping between data and labels is the crux of any machine learning task. It is, therefore, of interest to the machine learning community on practical as well as theoretical counts to consider the…

Machine Learning · Computer Science 2022-10-21 Sairaam Venkatraman , S Balasubramanian , R Raghunatha Sarma

The increased availability of data in recent years has led several authors to ask whether it is possible to use data as a {\em computational} resource. That is, if more data is available, beyond the sample complexity limit, is it possible…

Machine Learning · Computer Science 2013-11-12 Amit Daniely , Nati Linial , Shai Shalev Shwartz

Security in machine learning is fragile when data are exfiltrated or perturbed, yet existing frameworks rarely connect the definition and analysis of the security to learnability. In this work, we develop a theory of secure learning…

Quantum Physics · Physics 2025-11-05 Jeongho Bang

We initiate the study of computability requirements for adversarially robust learning. Adversarially robust PAC-type learnability is by now an established field of research. However, the effects of computability requirements in PAC-type…

Machine Learning · Computer Science 2024-06-17 Pascale Gourdeau , Tosca Lechner , Ruth Urner