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High sensitivity of neural networks against malicious perturbations on inputs causes security concerns. To take a steady step towards robust classifiers, we aim to create neural network models provably defended from perturbations. Prior…

计算机视觉与模式识别 · 计算机科学 2018-11-02 Yusuke Tsuzuku , Issei Sato , Masashi Sugiyama

Deep neural networks perform remarkably well on image classification tasks but remain vulnerable to carefully crafted adversarial perturbations. This work revisits linear dimensionality reduction as a simple, data-adapted defense. We…

机器学习 · 计算机科学 2025-10-08 Killian Steunou , Théo Druilhe , Sigurd Saue

Motivated by classical work on the numerical integration of ordinary differential equations we present a ResNet-styled neural network architecture that encodes non-expansive (1-Lipschitz) operators, as long as the spectral norms of the…

Deep neural networks achieve unprecedented performance levels over many tasks and scale well with large quantities of data, but performance in the low-data regime and tasks like one shot learning still lags behind. While recent work…

计算机视觉与模式识别 · 计算机科学 2017-03-24 Akshay Mehrotra , Ambedkar Dukkipati

Deep convolutional neural networks are generally regarded as robust function approximators. So far, this intuition is based on perturbations to external stimuli such as the images to be classified. Here we explore the robustness of…

机器学习 · 计算机科学 2017-03-27 Nicholas Cheney , Martin Schrimpf , Gabriel Kreiman

Important research efforts have focused on the design and training of neural networks with a controlled Lipschitz constant. The goal is to increase and sometimes guarantee the robustness against adversarial attacks. Recent promising…

机器学习 · 计算机科学 2023-10-30 Alexandre Araujo , Aaron Havens , Blaise Delattre , Alexandre Allauzen , Bin Hu

Despite the efficacy on a variety of computer vision tasks, deep neural networks (DNNs) are vulnerable to adversarial attacks, limiting their applications in security-critical systems. Recent works have shown the possibility of generating…

计算机视觉与模式识别 · 计算机科学 2018-12-21 Ziang Yan , Yiwen Guo , Changshui Zhang

This paper is concerned with the training of neural networks (NNs) under semidefinite constraints, which allows for NN training with robustness and stability guarantees. In particular, we focus on Lipschitz bounds for NNs. Exploiting the…

机器学习 · 计算机科学 2022-09-21 Patricia Pauli , Niklas Funcke , Dennis Gramlich , Mohamed Amine Msalmi , Frank Allgöwer

The Lipschitz constant of neural networks has been established as a key quantity to enforce the robustness to adversarial examples. In this paper, we tackle the problem of building $1$-Lipschitz Neural Networks. By studying Residual…

机器学习 · 计算机科学 2022-02-02 Laurent Meunier , Blaise Delattre , Alexandre Araujo , Alexandre Allauzen

The Lipschitz constant of the map between the input and output space represented by a neural network is a natural metric for assessing the robustness of the model. We present a new method to constrain the Lipschitz constant of dense deep…

机器学习 · 计算机科学 2023-08-22 Ouail Kitouni , Niklas Nolte , Mike Williams

We investigate the topics of sensitivity and robustness in feedforward and convolutional neural networks. Combining energy landscape techniques developed in computational chemistry with tools drawn from formal methods, we produce empirical…

机器学习 · 统计学 2018-12-06 Timothy E. Wang , Yiming Gu , Dhagash Mehta , Xiaojun Zhao , Edgar A. Bernal

Training convolutional neural networks (CNNs) with a strict Lipschitz constraint under the $l_{2}$ norm is useful for provable adversarial robustness, interpretable gradients and stable training. While $1$-Lipschitz CNNs can be designed by…

机器学习 · 计算机科学 2022-03-29 Sahil Singla , Surbhi Singla , Soheil Feizi

Deep learning models are vulnerable to adversarial examples which are input samples modified in order to maximize the error on the system. We introduce Spartan Networks, resistant deep neural networks that do not require input preprocessing…

机器学习 · 计算机科学 2018-12-18 François Menet , Paul Berthier , José M. Fernandez , Michel Gagnon

The feasibility of existing data stream algorithms is often hindered by the weakly supervised condition of data streams. A self-evolving deep neural network, namely Parsimonious Network (ParsNet), is proposed as a solution to various…

机器学习 · 计算机科学 2020-08-25 Mahardhika Pratama , Andri Ashfahani , Mohamad Abdul Hady

Convolutional and Recurrent, deep neural networks have been successful in machine learning systems for computer vision, reinforcement learning, and other allied fields. However, the robustness of such neural networks is seldom apprised,…

神经与进化计算 · 计算机科学 2018-05-01 Biswa Sengupta , Karl J. Friston

The main goal of network pruning is imposing sparsity on the neural network by increasing the number of parameters with zero value in order to reduce the architecture size and the computational speedup. In most of the previous research…

计算机视觉与模式识别 · 计算机科学 2019-01-17 Amirsina Torfi , Rouzbeh A. Shirvani , Sobhan Soleymani , Naser M. Nasrabadi

Adversarial attacks exploit the vulnerabilities of convolutional neural networks by introducing imperceptible perturbations that lead to misclassifications, exposing weaknesses in feature representations and decision boundaries. This paper…

机器学习 · 计算机科学 2024-12-30 Longwei Wang , Navid Nayyem , Abdullah Rakin

Graphs are central to modeling complex systems in domains such as social networks, molecular chemistry, and neuroscience. While Graph Neural Networks, particularly Graph Convolutional Networks, have become standard tools for graph learning,…

机器学习 · 计算机科学 2025-11-03 Angelica Liguori , Ettore Ritacco , Pietro Sabatino , Annalisa Socievole

Recent work on deep neural network pruning has shown there exist sparse subnetworks that achieve equal or improved accuracy, training time, and loss using fewer network parameters when compared to their dense counterparts. Orthogonal to…

机器学习 · 计算机科学 2019-12-06 Justin Cosentino , Federico Zaiter , Dan Pei , Jun Zhu

Despite their unmatched performance, deep neural networks remain susceptible to targeted attacks by nearly imperceptible levels of adversarial noise. While the underlying cause of this sensitivity is not well understood, theoretical…

机器学习 · 计算机科学 2020-12-01 George Cazenavette , Calvin Murdock , Simon Lucey