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We present a formal proof in Lean of probably approximately correct (PAC) learnability of the concept class of decision stumps. This classic result in machine learning theory derives a bound on error probabilities for a simple type of…

Machine Learning · Computer Science 2021-01-11 Joseph Tassarotti , Koundinya Vajjha , Anindya Banerjee , Jean-Baptiste Tristan

Indiscriminate data poisoning attacks aim to decrease a model's test accuracy by injecting a small amount of corrupted training data. Despite significant interest, existing attacks remain relatively ineffective against modern machine…

Machine Learning · Computer Science 2023-06-07 Yiwei Lu , Gautam Kamath , Yaoliang Yu

To understand the security threats to reinforcement learning (RL) algorithms, this paper studies poisoning attacks to manipulate \emph{any} order-optimal learning algorithm towards a targeted policy in episodic RL and examines the potential…

Machine Learning · Computer Science 2022-08-30 Anshuka Rangi , Haifeng Xu , Long Tran-Thanh , Massimo Franceschetti

Recently, Montasser et al. [2019] showed that finite VC dimension is not sufficient for proper adversarially robust PAC learning. In light of this hardness, there is a growing effort to study what type of relaxations to the adversarially…

Machine Learning · Computer Science 2023-05-26 Vinod Raman , Unique Subedi , Ambuj Tewari

We propose the first black-box targeted attack against online deep reinforcement learning through reward poisoning during training time. Our attack is applicable to general environments with unknown dynamics learned by unknown algorithms…

Machine Learning · Computer Science 2023-05-19 Yinglun Xu , Gagandeep Singh

Learning beneficial treatment allocations for a patient population is an important problem in precision medicine. Many treatments come with adverse side effects that are not commensurable with their potential benefits. Patients who do not…

Machine Learning · Statistics 2025-05-14 Sofia Ek , Dave Zachariah

Adversarial examples are perturbed inputs which can cause a serious threat for machine learning models. Finding these perturbations is such a hard task that we can only use the iterative methods to traverse. For computational efficiency,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Xiaofeng Mao , Yuefeng Chen , Yuhong Li , Yuan He , Hui Xue

We consider the Domain Adaptation problem, also known as the covariate shift problem, where the distributions that generate the training and test data differ while retaining the same labeling function. This problem occurs across a large…

Machine Learning · Computer Science 2018-12-18 Artidoro Pagnoni , Stefan Gramatovici , Samuel Liu

Understanding noise tolerance of machine learning algorithms is a central quest in learning theory. In this work, we study the problem of computationally efficient PAC learning of halfspaces in the presence of malicious noise, where an…

Machine Learning · Computer Science 2025-02-18 Jie Shen

Neural networks are vulnerable to backdoor poisoning attacks, where the attackers maliciously poison the training set and insert triggers into the test input to change the prediction of the victim model. Existing defenses for backdoor…

Cryptography and Security · Computer Science 2024-05-21 Yuhao Zhang , Aws Albarghouthi , Loris D'Antoni

Nearest neighbor-based methods are commonly used for classification tasks and as subroutines of other data-analysis methods. An attacker with the capability of inserting their own data points into the training set can manipulate the…

Machine Learning · Computer Science 2022-08-16 Ara Vartanian , Will Rosenbaum , Scott Alfeld

We examine the relationship between learnability and robust (or agnostic) learnability for the problem of distribution learning. We show that, contrary to other learning settings (e.g., PAC learning of function classes), realizable…

Machine Learning · Statistics 2024-06-27 Shai Ben-David , Alex Bie , Gautam Kamath , Tosca Lechner

Federated learning (FL) enables the training of models among distributed clients without compromising the privacy of training datasets, while the invisibility of clients datasets and the training process poses a variety of security threats.…

Cryptography and Security · Computer Science 2023-01-18 Subhash Sagar , Chang-Sun Li , Seng W. Loke , Jinho Choi

Model poisoning attacks are critical security threats to Federated Learning (FL). Existing model poisoning attacks suffer from two key limitations: 1) they achieve suboptimal effectiveness when defenses are deployed, and/or 2) they require…

Cryptography and Security · Computer Science 2025-08-14 Yueqi Xie , Minghong Fang , Neil Zhenqiang Gong

Adversarially robust PAC learning has proved to be challenging, with the currently best known learners [Montasser et al., 2021a] relying on improper methods based on intricate compression schemes, resulting in sample complexity exponential…

Machine Learning · Computer Science 2025-02-12 Hassan Ashtiani , Vinayak Pathak , Ruth Urner

Text classifiers are vulnerable to adversarial examples -- correctly-classified examples that are deliberately transformed to be misclassified while satisfying acceptability constraints. The conventional approach to finding adversarial…

Computation and Language · Computer Science 2024-05-21 Tom Roth , Inigo Jauregi Unanue , Alsharif Abuadbba , Massimo Piccardi

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

Most models of machine teaching and learning assume the learner makes no errors in its internal deductive inference. However, humans and large language models in few-shot learning regimes are two important examples of learners where this…

Machine Learning · Computer Science 2026-05-14 Jan Arne Telle , Brigt Håvardstun , Jose Hernandez-Orallo

The basic problem in the PAC model of computational learning theory is to determine which hypothesis classes are efficiently learnable. There is presently a dearth of results showing hardness of learning problems. Moreover, the existing…

Machine Learning · Computer Science 2014-03-11 Amit Daniely , Nati Linial , Shai Shalev-Shwartz

This paper investigates the critical issue of data poisoning attacks on AI models, a growing concern in the ever-evolving landscape of artificial intelligence and cybersecurity. As advanced technology systems become increasingly prevalent…

Cryptography and Security · Computer Science 2025-03-13 Halima I. Kure , Pradipta Sarkar , Ahmed B. Ndanusa , Augustine O. Nwajana