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An adaptive regularization algorithm for unconstrained nonconvex optimization is presented in which the objective function is never evaluated, but only derivatives are used. This algorithm belongs to the class of adaptive regularization…

最优化与控制 · 数学 2022-05-05 S. Gratton , S. Jerad , Ph. L. Toint

In this paper we aim to explore the general robustness of neural network classifiers by utilizing adversarial as well as natural perturbations. Different from previous works which mainly focus on studying the robustness of neural networks…

计算机视觉与模式识别 · 计算机科学 2020-10-06 Sadaf Gulshad , Jan Hendrik Metzen , Arnold Smeulders

Accurate derivatives are important for efficiently locally traversing and converging in quantum optimization landscapes. By deriving analytically exact control derivatives (gradient and Hessian) for unitary control tasks, we show here that…

Adversarial training has been widely studied in recent years due to its role in improving model robustness against adversarial attacks. This paper focuses on comparing different distributed adversarial training algorithms--including…

机器学习 · 计算机科学 2025-09-16 Ying Cao , Kun Yuan , Ali H. Sayed

Adversarial training has gained great popularity as one of the most effective defenses for deep neural network and more generally for gradient-based machine learning models against adversarial perturbations on data points. This paper…

机器学习 · 计算机科学 2023-05-25 Haotian Gu , Xin Guo , Xinyu Li

Heavy-tailed noise is pervasive in modern machine learning applications, arising from data heterogeneity, outliers, and non-stationary stochastic environments. While second-order methods can significantly accelerate convergence in…

最优化与控制 · 数学 2025-10-14 Abdurakhmon Sadiev , Peter Richtárik , Ilyas Fatkhullin

Adversarial robustness corresponds to the susceptibility of deep neural networks to imperceptible perturbations made at test time. In the context of image tasks, many algorithms have been proposed to make neural networks robust to…

计算机视觉与模式识别 · 计算机科学 2020-12-03 Pranjal Awasthi , George Yu , Chun-Sung Ferng , Andrew Tomkins , Da-Cheng Juan

Neural networks are known to be highly sensitive to adversarial examples. These may arise due to different factors, such as random initialization, or spurious correlations in the learning problem. To better understand these factors, we…

机器学习 · 统计学 2022-07-05 Elvis Dohmatob , Alberto Bietti

In order to minimize a differentiable geodesically convex function, we study a second-order dynamical system on Riemannian manifolds with an asymptotically vanishing damping term of the form $\alpha/t$. For positive values of $\alpha$,…

最优化与控制 · 数学 2023-12-12 Tejas Natu , Camille Castera , Jalal Fadili , Peter Ochs

Adversarial training is an effective method to improve the machine learning (ML) model robustness. Most existing studies typically consider the Rectified linear unit (ReLU) activation function and centralized training environments. In this…

机器学习 · 计算机科学 2025-12-05 Long Dang , Thushari Hapuarachchi , Kaiqi Xiong , Jing Lin

In this paper, we study the robustness of classical deep hedging strategies under distributional shifts by leveraging the concept of adversarial attacks. We first demonstrate that standard deep hedging models are highly vulnerable to small…

最优化与控制 · 数学 2025-10-24 Guangyi He , Tobias Sutter , Lukas Gonon

Randomized smoothing is a popular way of providing robustness guarantees against adversarial attacks: randomly-smoothed functions have a universal Lipschitz-like bound, allowing for robustness certificates to be easily computed. In this…

机器学习 · 计算机科学 2020-12-16 Alexander Levine , Aounon Kumar , Thomas Goldstein , Soheil Feizi

There has been considerable and growing interest in applying machine learning for cyber defenses. One promising approach has been to apply natural language processing techniques to analyze logs data for suspicious behavior. A natural…

机器学习 · 计算机科学 2020-07-30 Kai Steverson , Jonathan Mullin , Metin Ahiskali

Neural networks, being susceptible to adversarial attacks, should face a strict level of scrutiny before being deployed in critical or adversarial applications. This paper uses ideas from Chaos Theory to explain, analyze, and quantify the…

机器学习 · 计算机科学 2023-07-07 Jonathan S. Kent

Deep neural networks are susceptible to adversarial attacks due to the accumulation of perturbations in the feature level, and numerous works have boosted model robustness by deactivating the non-robust feature activations that cause model…

计算机视觉与模式识别 · 计算机科学 2023-03-27 Woo Jae Kim , Yoonki Cho , Junsik Jung , Sung-Eui Yoon

Despite the wide empirical success of modern machine learning algorithms and models in a multitude of applications, they are known to be highly susceptible to seemingly small indiscernible perturbations to the input data known as…

机器学习 · 统计学 2022-04-05 Adel Javanmard , Mahdi Soltanolkotabi

Adversarial training tends to result in models that are less accurate on natural (unperturbed) examples compared to standard models. This can be attributed to either an algorithmic shortcoming or a fundamental property of the training data…

机器学习 · 计算机科学 2021-07-02 Alireza Mousavi Hosseini , Amir Mohammad Abouei , Mohammad Hossein Rohban

Backpropagation-optimized artificial neural networks, while precise, lack robustness, leading to unforeseen behaviors that affect their safety. Biological neural systems do solve some of these issues already. Unlike artificial models,…

神经与进化计算 · 计算机科学 2025-02-04 Konstantin Holzhausen , Mia Merlid , Håkon Olav Torvik , Anders Malthe-Sørenssen , Mikkel Elle Lepperød

As deep learning models are increasingly deployed in high-risk applications, robust defenses against adversarial attacks and reliable performance guarantees become paramount. Moreover, accuracy alone does not provide sufficient assurance or…

机器学习 · 计算机科学 2025-06-10 Jie Bao , Chuangyin Dang , Rui Luo , Hanwei Zhang , Zhixin Zhou

Adversarial examples have been shown to be the severe threat to deep neural networks (DNNs). One of the most effective adversarial defense methods is adversarial training (AT) through minimizing the adversarial risk $R_{adv}$, which…

机器学习 · 计算机科学 2020-06-17 Yiming Li , Baoyuan Wu , Yan Feng , Yanbo Fan , Yong Jiang , Zhifeng Li , Shutao Xia