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Deep learning has achieved remarkable success across a wide range of tasks, but its models often suffer from instability and vulnerability: small changes to the input may drastically affect predictions, while optimization can be hindered by…

机器学习 · 计算机科学 2025-10-30 Blaise Delattre

Empirical studies have widely demonstrated that neural networks are highly sensitive to small, adversarial perturbations of the input. The worst-case robustness against these so-called adversarial examples can be quantified by the Lipschitz…

机器学习 · 统计学 2025-07-03 Paul Geuchen , Dominik Stöger , Thomas Telaar , Felix Voigtlaender

It is a known phenomenon that adversarial robustness comes at a cost to natural accuracy. To improve this trade-off, this paper proposes an ensemble approach that divides a complex robust-classification task into simpler subtasks.…

机器学习 · 计算机科学 2021-06-14 Haifeng Qian

It is desirable, and often a necessity, for machine learning models to be robust against adversarial attacks. This is particularly true for Bayesian models, as they are well-suited for safety-critical applications, in which adversarial…

机器学习 · 统计学 2021-01-08 Arno Blaas , Stephen J. Roberts

In this work we study input gradient regularization of deep neural networks, and demonstrate that such regularization leads to generalization proofs and improved adversarial robustness. The proof of generalization does not overcome the…

机器学习 · 计算机科学 2019-09-13 Chris Finlay , Jeff Calder , Bilal Abbasi , Adam Oberman

A black-box spectral method is introduced for evaluating the adversarial robustness of a given machine learning (ML) model. Our approach, named SPADE, exploits bijective distance mapping between the input/output graphs constructed for…

机器学习 · 计算机科学 2021-06-15 Wuxinlin Cheng , Chenhui Deng , Zhiqiang Zhao , Yaohui Cai , Zhiru Zhang , Zhuo Feng

We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

机器学习 · 统计学 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

The Jacobian matrix (or the gradient for single-output networks) is directly related to many important properties of neural networks, such as the function landscape, stationary points, (local) Lipschitz constants and robustness to…

机器学习 · 统计学 2019-02-28 Huan Zhang , Pengchuan Zhang , Cho-Jui Hsieh

In recent years, neural networks have demonstrated outstanding effectiveness in a large amount of applications.However, recent works have shown that neural networks are susceptible to adversarial examples, indicating possible flaws…

机器学习 · 计算机科学 2018-06-08 Fuxun Yu , Zirui Xu , Yanzhi Wang , Chenchen Liu , Xiang Chen

The monotonic dependence of the outputs of a neural network on some of its inputs is a crucial inductive bias in many scenarios where domain knowledge dictates such behavior. This is especially important for interpretability and fairness…

机器学习 · 计算机科学 2023-07-17 Ouail Kitouni , Niklas Nolte , Michael Williams

Local decision rules are commonly understood to be more explainable, due to the local nature of the patterns involved. With numerical optimization methods such as gradient boosting, ensembles of local decision rules can gain good predictive…

机器学习 · 计算机科学 2025-08-27 Xin Du , Subramanian Ramamoorthy , Wouter Duivesteijn , Jin Tian , Mykola Pechenizkiy

The vulnerability of neural networks under adversarial attacks has raised serious concerns and motivated extensive research. It has been shown that both neural networks and adversarial attacks against them can be sensitive to input…

计算机视觉与模式识别 · 计算机科学 2019-06-17 Houpu Yao , Zhe Wang , Guangyu Nie , Yassine Mazboudi , Yezhou Yang , Yi Ren

This work studies the adversarial robustness of parametric functions composed of a linear predictor and a non-linear representation map. % that satisfies certain stability condition. Our analysis relies on \emph{sparse local Lipschitzness}…

机器学习 · 计算机科学 2023-03-07 Ramchandran Muthukumar , Jeremias Sulam

Adversarial robustness has received increasing attention along with the study of adversarial examples. So far, existing works show that robust models not only obtain robustness against various adversarial attacks but also boost the…

机器学习 · 计算机科学 2021-11-29 Yang Bai , Xin Yan , Yong Jiang , Shu-Tao Xia , Yisen Wang

Robustness of neural networks is commonly quantified via local or global Lipschitz constants. However, Lipschitz continuity can be overly coarse or overly restrictive as global robustness measure, failing to capture nuanced, data-dependent…

机器学习 · 统计学 2026-05-28 Jürgen Dölz , Michael Multerer , Michele Palma

Recent research has shown the vulnerability of Spiking Neural Networks (SNNs) under adversarial examples that are nearly indistinguishable from clean data in the context of frame-based and event-based information. The majority of these…

机器学习 · 计算机科学 2025-09-01 Jiaqi Lin , Abhronil Sengupta

Despite having high accuracy, neural nets have been shown to be susceptible to adversarial examples, where a small perturbation to an input can cause it to become mislabeled. We propose metrics for measuring the robustness of a neural net…

Deep Neural Networks (DNNs) have shown substantial success in various applications but remain vulnerable to adversarial attacks. This study aims to identify and isolate the components of two different adversarial training techniques that…

机器学习 · 计算机科学 2025-08-26 William Brooks , Marelie H. Davel , Coenraad Mouton

Lipschitz constants are connected to many properties of neural networks, such as robustness, fairness, and generalization. Existing methods for computing Lipschitz constants either produce relatively loose upper bounds or are limited to…

机器学习 · 计算机科学 2022-10-17 Zhouxing Shi , Yihan Wang , Huan Zhang , Zico Kolter , Cho-Jui Hsieh

Despite significant advances, deep networks remain highly susceptible to adversarial attack. One fundamental challenge is that small input perturbations can often produce large movements in the network's final-layer feature space. In this…

机器学习 · 计算机科学 2023-04-20 Maria-Florina Balcan , Avrim Blum , Dravyansh Sharma , Hongyang Zhang