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Adversarial training is an effective method to boost model robustness to malicious, adversarial attacks. However, such improvement in model robustness often leads to a significant sacrifice of standard performance on clean images. In many…

Machine Learning · Computer Science 2022-04-29 Pengyue Hou , Ming Zhou , Jie Han , Petr Musilek , Xingyu Li

One of the main challenges for feature representation in deep learning-based classification is the design of appropriate loss functions that exhibit strong discriminative power. The classical softmax loss does not explicitly encourage…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Xiong Zhou , Xianming Liu , Deming Zhai , Junjun Jiang , Xin Gao , Xiangyang Ji

The softmax function is a widely used activation function in the output layers of neural networks, responsible for converting raw scores into class probabilities while introducing essential non-linearity. Implementing Softmax efficiently…

We establish a link between a class of discrete choice models and the theory of online learning and multi-armed bandits. Our contributions are: (i) sublinear regret bounds for a broad algorithmic family, encompassing Exp3 as a special case;…

Machine Learning · Computer Science 2025-10-07 Emerson Melo , David Müller

We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is simple, differentiable, and parameterized…

Neural and Evolutionary Computing · Computer Science 2016-02-04 Luke B. Godfrey , Michael S. Gashler

Despite the remarkable progress of deep neural networks (DNNs) in various visual tasks, their vulnerability to adversarial examples raises significant security concerns. Recent adversarial training methods leverage inverse adversarial…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Kejia Zhang , Juanjuan Weng , Shaozi Li , Zhiming Luo

While existing work in robust deep learning has focused on small pixel-level norm-based perturbations, this may not account for perturbations encountered in several real-world settings. In many such cases although test data might not be…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Tejas Gokhale , Rushil Anirudh , Bhavya Kailkhura , Jayaraman J. Thiagarajan , Chitta Baral , Yezhou Yang

The concept of a minimax classifier is well-established in statistical decision theory, but its implementation via neural networks remains challenging, particularly in scenarios with imbalanced training data having a limited number of…

Machine Learning · Computer Science 2026-01-07 Hansung Choi , Daewon Seo

This paper proposes a new loss function for adversarial training. Since adversarial training has difficulties, e.g., necessity of high model capacity, focusing on important data points by weighting cross-entropy loss has attracted much…

Machine Learning · Computer Science 2023-04-27 Sekitoshi Kanai , Shin'ya Yamaguchi , Masanori Yamada , Hiroshi Takahashi , Kentaro Ohno , Yasutoshi Ida

Reinforcement Learning (RL) is an effective tool for controller design but can struggle with issues of robustness, failing catastrophically when the underlying system dynamics are perturbed. The Robust RL formulation tackles this by adding…

Machine Learning · Computer Science 2020-09-24 Eugene Vinitsky , Yuqing Du , Kanaad Parvate , Kathy Jang , Pieter Abbeel , Alexandre Bayen

Adversarial training (AT) methods have been found to be effective against adversarial attacks on deep neural networks. Many variants of AT have been proposed to improve its performance. Pang et al. [1] have recently shown that incorporating…

Machine Learning · Computer Science 2023-03-16 Olukorede Fakorede , Ashutosh Nirala , Modeste Atsague , Jin Tian

The vulnerability of machine learning models to adversarial perturbations has motivated a significant amount of research under the broad umbrella of adversarial machine learning. Sophisticated attacks may cause learning algorithms to learn…

Machine Learning · Computer Science 2021-09-27 Sandamal Weerasinghe , Tansu Alpcan , Sarah M. Erfani , Christopher Leckie , Benjamin I. P. Rubinstein

Here we propose a general theoretical method for analyzing the risk bound in the presence of adversaries. Specifically, we try to fit the adversarial learning problem into the minimax framework. We first show that the original adversarial…

Machine Learning · Statistics 2019-01-25 Zhuozhuo Tu , Jingwei Zhang , Dacheng Tao

Softmax function is widely used in artificial neural networks for multiclass classification, multilabel classification, attention mechanisms, etc. However, its efficacy is often questioned in literature. The log-softmax loss has been shown…

Machine Learning · Computer Science 2020-11-24 Kunal Banerjee , Vishak Prasad C , Rishi Raj Gupta , Karthik Vyas , Anushree H , Biswajit Mishra

Training generative adversarial networks requires balancing of delicate adversarial dynamics. Even with careful tuning, training may diverge or end up in a bad equilibrium with dropped modes. In this work, we improve CS-GAN with natural…

Machine Learning · Computer Science 2020-07-02 Yan Wu , Jeff Donahue , David Balduzzi , Karen Simonyan , Timothy Lillicrap

This paper presents a study of robust policy networks in deep reinforcement learning. We investigate the benefits of policy parameterizations that naturally satisfy constraints on their Lipschitz bound, analyzing their empirical performance…

Machine Learning · Computer Science 2025-02-07 Nicholas H. Barbara , Ruigang Wang , Ian R. Manchester

Reinforcement learning (RL) is attracting attention as an effective way to solve sequential optimization problems that involve high dimensional state/action space and stochastic uncertainties. Many such problems involve constraints…

Machine Learning · Computer Science 2021-04-01 Haeun Yoo , Victor M. Zavala , Jay H. Lee

How to train deep neural networks (DNNs) to generalize well is a central concern in deep learning, especially for severely overparameterized networks nowadays. In this paper, we propose an effective method to improve the model…

Machine Learning · Computer Science 2022-06-28 Yang Zhao , Hao Zhang , Xiuyuan Hu

In state-of-the-art deep learning for object recognition, SoftMax and Sigmoid functions are most commonly employed as the predictor outputs. Such layers often produce overconfident predictions rather than proper probabilistic scores, which…

Computer Vision and Pattern Recognition · Computer Science 2022-05-13 Gledson Melotti , Cristiano Premebida , Jordan J. Bird , Diego R. Faria , Nuno Gonçalves

Large language models (LLMs) can often be made to behave in undesirable ways that they are explicitly fine-tuned not to. For example, the LLM red-teaming literature has produced a wide variety of 'jailbreaking' techniques to elicit harmful…