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This paper proposes an attack-independent (non-adversarial training) technique for improving adversarial robustness of neural network models, with minimal loss of standard accuracy. We suggest creating a neighborhood around each training…

机器学习 · 计算机科学 2021-07-28 Bronya Roni Chernyak , Bhiksha Raj , Tamir Hazan , Joseph Keshet

Whilst adversarial attack detection has received considerable attention, it remains a fundamentally challenging problem from two perspectives. First, while threat models can be well-defined, attacker strategies may still vary widely within…

计算机视觉与模式识别 · 计算机科学 2021-11-04 Nathan Drenkow , Neil Fendley , Philippe Burlina

We evaluate machine comprehension models' robustness to noise and adversarial attacks by performing novel perturbations at the character, word, and sentence level. We experiment with different amounts of perturbations to examine model…

计算与语言 · 计算机科学 2020-05-04 Winston Wu , Dustin Arendt , Svitlana Volkova

In this paper, we analyze deep learning from a mathematical point of view and derive several novel results. The results are based on intriguing mathematical properties of high dimensional spaces. We first look at perturbation based…

计算机视觉与模式识别 · 计算机科学 2018-04-17 Simant Dube

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…

机器学习 · 统计学 2023-03-29 Antônio H. Ribeiro , Thomas B. Schön

One of the fundamental problems of interest for discrete-time linear systems is whether its input sequence may be recovered given its output sequence, a.k.a. the left inversion problem. Many conditions on the state space geometry, dynamics,…

最优化与控制 · 数学 2024-04-01 Kyle Poe , Enrique Mallada , Rene Vidal

Machine learning systems based on deep neural networks, being able to produce state-of-the-art results on various perception tasks, have gained mainstream adoption in many applications. However, they are shown to be vulnerable to…

机器学习 · 计算机科学 2018-01-16 Bo Luo , Yannan Liu , Lingxiao Wei , Qiang Xu

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

机器学习 · 计算机科学 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

In learning problems, the noise inherent to the task at hand hinders the possibility to infer without a certain degree of uncertainty. Quantifying this uncertainty, regardless of its wide use, assumes high relevance for security-sensitive…

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

机器学习 · 计算机科学 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

This work studies the threats of adversarial attack on multivariate probabilistic forecasting models and viable defense mechanisms. Our studies discover a new attack pattern that negatively impact the forecasting of a target time series via…

机器学习 · 计算机科学 2023-04-17 Linbo Liu , Youngsuk Park , Trong Nghia Hoang , Hilaf Hasson , Jun Huan

Linear Response theory aims to predict how added forcing alters the statistical properties of an unforced system. These kinds of questions have been studied predominantly for autonomous dynamical systems, yet many systems in the physical,…

动力系统 · 数学 2026-04-07 Stefano Galatolo , Valerio Lucarini

Safely exploring an unknown dynamical system is critical to the deployment of reinforcement learning (RL) in physical systems where failures may have catastrophic consequences. In scenarios where one knows little about the dynamics, diverse…

机器学习 · 计算机科学 2017-12-01 Tyler Lu , Martin Zinkevich , Craig Boutilier , Binz Roy , Dale Schuurmans

Adversarial attacks, e.g., adversarial perturbations of the input and adversarial samples, pose significant challenges to machine learning and deep learning techniques, including interactive recommendation systems. The latent embedding…

机器学习 · 计算机科学 2021-12-03 Siyu Wang , Yuanjiang Cao , Xiaocong Chen , Lina Yao , Xianzhi Wang , Quan Z. Sheng

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…

机器学习 · 计算机科学 2020-06-11 Shufei Zhang , Kaizhu Huang , Zenglin Xu

This paper studies the attack detection problem in a data-driven and model-free setting, for deterministic systems with linear and time-invariant dynamics. Differently from existing studies that leverage knowledge of the system dynamics to…

系统与控制 · 电气工程与系统科学 2020-03-19 Vishaal Krishnan , Fabio Pasqualetti

Consider an n-dimensional linear system where it is known that there are at most k<n non-zero components in the initial state. The observability problem, that is the recovery of the initial state, for such a system is considered. We obtain…

信息论 · 计算机科学 2012-04-17 Wei Dai , Serdar Yüksel

We consider the problem of learning the parameters of a $N$-dimensional stochastic linear dynamics under both full and partial observations from a single trajectory of time $T$. We introduce and analyze a new estimator that achieves a small…

机器学习 · 统计学 2025-12-08 Minh Vu , Andrey Y. Lokhov , Marc Vuffray

Sparse attacks are to optimize the magnitude of adversarial perturbations for fooling deep neural networks (DNNs) involving only a few perturbed pixels (i.e., under the l0 constraint), suitable for interpreting the vulnerability of DNNs.…

机器学习 · 计算机科学 2025-06-24 Fudong Lin , Jiadong Lou , Hao Wang , Brian Jalaian , Xu Yuan

Modern classification algorithms are susceptible to adversarial examples--perturbations to inputs that cause the algorithm to produce undesirable behavior. In this work, we seek to understand and extend adversarial examples across domains…

机器学习 · 计算机科学 2021-12-14 Volodymyr Kuleshov , Evgenii Nikishin , Shantanu Thakoor , Tingfung Lau , Stefano Ermon