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Related papers: Lower Bounds for Adversarially Robust PAC Learning

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Machine Learning models have been shown to be vulnerable to adversarial examples, ie. the manipulation of data by a attacker to defeat a defender's classifier at test time. We present a novel probabilistic definition of adversarial examples…

Machine Learning · Statistics 2018-01-09 Martin Gubri

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

Recent continual learning approaches have primarily focused on mitigating catastrophic forgetting. Nevertheless, two critical areas have remained relatively unexplored: 1) evaluating the robustness of proposed methods and 2) ensuring the…

Machine Learning · Computer Science 2023-10-10 Hikmat Khan , Pir Masoom Shah , Syed Farhan Alam Zaidi , Saif ul Islam , Qasim Zia

Injecting adversarial examples during training, known as adversarial training, can improve robustness against one-step attacks, but not for unknown iterative attacks. To address this challenge, we first show iteratively generated…

Machine Learning · Statistics 2018-03-20 Taesik Na , Jong Hwan Ko , Saibal Mukhopadhyay

Contrastive learning has emerged as a powerful paradigm for self-supervised representation learning. This work analyzes the theoretical limits of contrastive learning under nasty noise, where an adversary modifies or replaces training…

Machine Learning · Computer Science 2025-02-26 Ziruo Zhao

There is great potential for damage from adversarial learning (AL) attacks on machine-learning based systems. In this paper, we provide a contemporary survey of AL, focused particularly on defenses against attacks on statistical…

Machine Learning · Computer Science 2020-03-11 David J. Miller , Zhen Xiang , George Kesidis

Much of learning theory is concerned with the design and analysis of probably approximately correct (PAC) learners. The closely related transductive model of learning has recently seen more scrutiny, with its learners often used as…

Machine Learning · Statistics 2024-10-31 Shaddin Dughmi , Yusuf Kalayci , Grayson York

The delicate equilibrium between user privacy and the ability to unleash the potential of distributed data is an important concern. Federated learning, which enables the training of collaborative models without sharing of data, has emerged…

Machine Learning · Computer Science 2025-07-01 Taejin Kim , Jiarui Li , Shubhranshu Singh , Nikhil Madaan , Carlee Joe-Wong

Neural networks have changed the way machines interpret the world. At their core, they learn by following gradients, adjusting their parameters step by step until they identify the most discriminant patterns in the data. This process gives…

Computer Vision and Pattern Recognition · Computer Science 2025-11-03 Samarup Bhattacharya , Anubhab Bhattacharya , Abir Chakraborty

Adversarial attacks insert small, imperceptible perturbations to input samples that cause large, undesired changes to the output of deep learning models. Despite extensive research on generating adversarial attacks and building defense…

Machine Learning · Computer Science 2023-06-27 Vyas Raina , Mark Gales

Adversarial attack perturbs an image with an imperceptible noise, leading to incorrect model prediction. Recently, a few works showed inherent bias associated with such attack (robustness bias), where certain subgroups in a dataset (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Gaurav Kumar Nayak , Ruchit Rawal , Rohit Lal , Himanshu Patil , Anirban Chakraborty

In the last a few decades, deep neural networks have achieved remarkable success in machine learning, computer vision, and pattern recognition. Recent studies however show that neural networks (both shallow and deep) may be easily fooled by…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zhuang Qian , Kaizhu Huang , Qiu-Feng Wang , Xu-Yao Zhang

Adversarial examples are input examples that are specifically crafted to deceive machine learning classifiers. State-of-the-art adversarial example detection methods characterize an input example as adversarial either by quantifying the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Yuhang Wu , Sunpreet S. Arora , Yanhong Wu , Hao Yang

We extend the theory of PAC learning in a way which allows to model a rich variety of learning tasks where the data satisfy special properties that ease the learning process. For example, tasks where the distance of the data from the…

Machine Learning · Computer Science 2021-07-22 Noga Alon , Steve Hanneke , Ron Holzman , Shay Moran

Consider the task of learning a hypothesis class $\mathcal{H}$ in the presence of an adversary that can replace up to an $\eta$ fraction of the examples in the training set with arbitrary adversarial examples. The adversary aims to fail the…

Machine Learning · Computer Science 2022-10-13 Steve Hanneke , Amin Karbasi , Mohammad Mahmoody , Idan Mehalel , Shay Moran

We generalize the PAC (probably approximately correct) learning model to the quantum world by generalizing the concepts from classical functions to quantum processes, defining the problem of \emph{PAC learning quantum process}, and study…

Quantum Physics · Physics 2021-05-20 Kai-Min Chung , Han-Hsuan Lin

Deep neural networks (DNNs) are vulnerable to adversarial attacks. It is found empirically that adversarially robust generalization is crucial in establishing defense algorithms against adversarial attacks. Therefore, it is interesting to…

Machine Learning · Computer Science 2023-10-31 Jiancong Xiao , Ruoyu Sun , Zhi- Quan Luo

We study a sequential prediction problem in which an adversary is allowed to inject arbitrarily many adversarial instances in a stream of i.i.d. instances, but at each round, the learner may also abstain from making a prediction without…

Machine Learning · Computer Science 2026-03-19 Jialin Yu , Moïse Blanchard

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

In probably approximately correct (PAC) reinforcement learning (RL), an agent is required to identify an $\epsilon$-optimal policy with probability $1-\delta$. While minimax optimal algorithms exist for this problem, its instance-dependent…

Machine Learning · Computer Science 2022-10-25 Andrea Tirinzoni , Aymen Al-Marjani , Emilie Kaufmann