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Related papers: A PAC-Bayes Analysis of Adversarial Robustness

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Meta learning automatically infers an inductive bias, that includes the hyperparameter of the base-learning algorithm, by observing data from a finite number of related tasks. This paper studies PAC-Bayes bounds on meta generalization gap.…

Machine Learning · Computer Science 2022-06-14 Arezou Rezazadeh

While deep neural networks have achieved remarkable success in various computer vision tasks, they often fail to generalize to new domains and subtle variations of input images. Several defenses have been proposed to improve the robustness…

Computer Vision and Pattern Recognition · Computer Science 2021-09-08 Omid Poursaeed , Tianxing Jiang , Harry Yang , Serge Belongie , SerNam Lim

Deep neural networks have been widely deployed in various machine learning tasks. However, recent works have demonstrated that they are vulnerable to adversarial examples: carefully crafted small perturbations to cause misclassification by…

Machine Learning · Computer Science 2019-03-01 Ke Sun , Zhanxing Zhu , Zhouchen Lin

In machine learning, Domain Adaptation (DA) arises when the distribution gen- erating the test (target) data differs from the one generating the learning (source) data. It is well known that DA is an hard task even under strong assumptions,…

Machine Learning · Statistics 2012-12-12 Pascal Germain , Amaury Habrard , François Laviolette , Emilie Morvant

In many cases, neural networks perform well on test data, but tend to overestimate their confidence on out-of-distribution data. This has led to adoption of Bayesian neural networks, which better capture uncertainty and therefore more…

Machine Learning · Computer Science 2021-08-02 Erick Galinkin

Our goal is to learn control policies for robots that provably generalize well to novel environments given a dataset of example environments. The key technical idea behind our approach is to leverage tools from generalization theory in…

Robotics · Computer Science 2020-08-27 Anirudha Majumdar , Alec Farid , Anoopkumar Sonar

Is there a way to design powerful AI systems based on machine learning methods that would satisfy probabilistic safety guarantees? With the long-term goal of obtaining a probabilistic guarantee that would apply in every context, we consider…

Artificial Intelligence · Computer Science 2025-06-17 Yoshua Bengio , Michael K. Cohen , Nikolay Malkin , Matt MacDermott , Damiano Fornasiere , Pietro Greiner , Younesse Kaddar

Achieving robustness against adversarial input perturbation is an important and intriguing problem in machine learning. In the area of semantic image segmentation, a number of adversarial training approaches have been proposed as a defense…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Levente Halmosi , Mark Jelasity

This paper presents a PAC-Bayes framework for learning controllers for unknown stochastic linear discrete-time systems, where the system parameters are drawn from a fixed but unknown distribution. We derive a data-dependent high probability…

Optimization and Control · Mathematics 2026-05-22 Yujia Luo , Ye Pu , Jonathan H. Manton , Jingge Zhu

We study the question of learning an adversarially robust predictor. We show that any hypothesis class $\mathcal{H}$ with finite VC dimension is robustly PAC learnable with an improper learning rule. The requirement of being improper is…

Machine Learning · Computer Science 2019-07-04 Omar Montasser , Steve Hanneke , Nathan Srebro

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

Statistical performance bounds for reinforcement learning (RL) algorithms can be critical for high-stakes applications like healthcare. This paper introduces a new framework for theoretically measuring the performance of such algorithms…

Machine Learning · Computer Science 2018-01-03 Christoph Dann , Tor Lattimore , Emma Brunskill

We study the error of linear regression in the face of adversarial attacks. In this framework, an adversary changes the input to the regression model in order to maximize the prediction error. We provide bounds on the prediction error in…

Machine Learning · Statistics 2023-03-29 Antônio H. Ribeiro , Thomas B. Schön

Machine learning (ML) classification is increasingly used in safety-critical systems. Protecting ML classifiers from adversarial examples is crucial. We propose that the main threat is that of an attacker perturbing a confidently classified…

Cryptography and Security · Computer Science 2019-09-20 Michael Thomas Smith , Kathrin Grosse , Michael Backes , Mauricio A Alvarez

Deep neural networks are vulnerable to adversarial attacks. Ideally, a robust model shall perform well on both the perturbed training data and the unseen perturbed test data. It is found empirically that fitting perturbed training data is…

Machine Learning · Computer Science 2022-11-29 Jiancong Xiao , Yanbo Fan , Ruoyu Sun , Zhi-Quan Luo

Adversarial robustness, which primarily comprises sensitivity-based robustness and spatial robustness, plays an integral part in achieving robust generalization. In this paper, we endeavor to design strategies to achieve universal…

Machine Learning · Computer Science 2024-06-25 Ke Sun , Mingjie Li , Zhouchen Lin

We study the model robustness against adversarial examples, referred to as small perturbed input data that may however fool many state-of-the-art deep learning models. Unlike previous research, we establish a novel theory addressing the…

Machine Learning · Computer Science 2020-06-11 Shufei Zhang , Kaizhu Huang , Zenglin Xu

Adversarial robustness studies the worst-case performance of a machine learning model to ensure safety and reliability. With the proliferation of deep-learning-based technology, the potential risks associated with model development and…

Machine Learning · Computer Science 2023-01-06 Pin-Yu Chen , Sijia Liu

We consider the problem of estimating the mean of a sequence of random elements $f(X_1, \theta)$ $, \ldots, $ $f(X_n, \theta)$ where $f$ is a fixed scalar function, $S=(X_1, \ldots, X_n)$ are independent random variables, and $\theta$ is a…

Machine Learning · Computer Science 2023-02-14 Kyoungseok Jang , Kwang-Sung Jun , Ilja Kuzborskij , Francesco Orabona

Now that Bayesian Networks (BNs) have become widely used, an appreciation is developing of just how critical an awareness of the sensitivity and robustness of certain target variables are to changes in the model. When time resources are…

Methodology · Statistics 2018-11-20 Sophia K. Wright , Jim Q. Smith
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