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We present a hierarchical, control theory inspired method for variational inference (VI) for neural stochastic differential equations (SDEs). While VI for neural SDEs is a promising avenue for uncertainty-aware reasoning in time-series, it…

机器学习 · 计算机科学 2025-05-26 Rembert Daems , Manfred Opper , Guillaume Crevecoeur , Tolga Birdal

We present a new algorithm to learn a deep neural network model robust against adversarial attacks. Previous algorithms demonstrate an adversarially trained Bayesian Neural Network (BNN) provides improved robustness. We recognize the…

机器学习 · 计算机科学 2023-12-04 Bao Gia Doan , Ehsan Abbasnejad , Javen Qinfeng Shi , Damith C. Ranasinghe

State-of-the-art machine learning models can be vulnerable to very small input perturbations that are adversarially constructed. Adversarial training is an effective approach to defend against it. Formulated as a min-max problem, it…

机器学习 · 统计学 2023-10-18 Antônio H. Ribeiro , Dave Zachariah , Francis Bach , Thomas B. Schön

Training neural networks involves solving large-scale non-convex optimization problems. This task has long been believed to be extremely difficult, with fear of local minima and other obstacles motivating a variety of schemes to improve…

神经与进化计算 · 计算机科学 2015-05-25 Ian J. Goodfellow , Oriol Vinyals , Andrew M. Saxe

Robust Optimization has traditionally taken a pessimistic, or worst-case viewpoint of uncertainty which is motivated by a desire to find sets of optimal policies that maintain feasibility under a variety of operating conditions. In this…

机器学习 · 统计学 2017-11-22 Matthew Norton , Akiko Takeda , Alexander Mafusalov

Neural networks are susceptible to artificially designed adversarial perturbations. Recent efforts have shown that imposing certain modifications on classification layer can improve the robustness of the neural networks. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2021-09-27 Cong Xu , Xiang Li , Min Yang

Adversarial training has emerged as a highly effective way to improve the robustness of deep neural networks (DNNs). It is typically conceptualized as a min-max optimization problem over model weights and adversarial perturbations, where…

机器学习 · 计算机科学 2026-03-03 Gaojie Jin , Xinping Yi , Wei Huang , Sven Schewe , Xiaowei Huang

Without exact knowledge of the true system dynamics, optimal control of non-linear continuous-time systems requires careful treatment under epistemic uncertainty. In this work, we translate a probabilistic interpretation of the Pontryagin…

机器学习 · 计算机科学 2025-09-03 David Leeftink , Çağatay Yıldız , Steffen Ridderbusch , Max Hinne , Marcel van Gerven

Visual systems of primates are the gold standard of robust perception. There is thus a general belief that mimicking the neural representations that underlie those systems will yield artificial visual systems that are adversarially robust.…

神经元与认知 · 定量生物学 2022-06-23 Chong Guo , Michael J. Lee , Guillaume Leclerc , Joel Dapello , Yug Rao , Aleksander Madry , James J. DiCarlo

An important goal in deep learning is to learn versatile, high-level feature representations of input data. However, standard networks' representations seem to possess shortcomings that, as we illustrate, prevent them from fully realizing…

Adversarial training is a training scheme designed to counter adversarial attacks by augmenting the training dataset with adversarial examples. Surprisingly, several studies have observed that loss gradients from adversarially trained DNNs…

机器学习 · 计算机科学 2019-04-22 Beomsu Kim , Junghoon Seo , Taegyun Jeon

Adversarial examples are perturbed inputs designed to fool machine learning models. Adversarial training injects such examples into training data to increase robustness. To scale this technique to large datasets, perturbations are crafted…

Adversarial training aims to defend against adversaries: malicious opponents whose sole aim is to harm predictive performance in any way possible. This presents a rather harsh perspective, which we assert results in unnecessarily…

机器学习 · 计算机科学 2025-06-10 Maayan Ehrenberg , Roy Ganz , Nir Rosenfeld

Adversarial training has proven to be a highly effective method for improving the robustness of deep neural networks against adversarial attacks. Nonetheless, it has been observed to exhibit a limitation in terms of robust fairness,…

机器学习 · 计算机科学 2025-01-09 Hongxin Zhi , Hongtao Yu , Shaome Li , Xiuming Zhao , Yiteng Wu

We investigate the time and the energy minimum optimal solutions for the robust control of two-level quantum systems against offset or control field uncertainties. Using the Pontryagin Maximum Principle, we derive the global optimal pulses…

量子物理 · 物理学 2017-06-07 L. Van Damme , Q. Ansel , S. J. Glaser , D. Sugny

Adversarial training is by far the most successful strategy for improving robustness of neural networks to adversarial attacks. Despite its success as a defense mechanism, adversarial training fails to generalize well to unperturbed test…

机器学习 · 计算机科学 2019-10-18 Yogesh Balaji , Tom Goldstein , Judy Hoffman

In adversarial machine learning, neural networks suffer from a significant issue known as robust overfitting, where the robust test accuracy decreases over epochs (Rice et al., 2020). Recent research conducted by Xing et al.,2021; Xiao et…

机器学习 · 计算机科学 2024-05-06 Jiancong Xiao , Jiawei Zhang , Zhi-Quan Luo , Asuman Ozdaglar

Reinforcement learning policies based on deep neural networks are vulnerable to imperceptible adversarial perturbations to their inputs, in much the same way as neural network image classifiers. Recent work has proposed several methods to…

机器学习 · 计算机科学 2021-08-31 Ezgi Korkmaz

This paper focuses on optimal control problem for a class of discrete-time nonlinear systems. In practical applications, computation time is a crucial consideration when solving nonlinear optimal control problems, especially under real-time…

最优化与控制 · 数学 2025-04-01 Chuanzhi Lv , Xunmin Yin , Hongdan Li , Huanshui Zhang

This work is concerned with solving neural network-based feedback controllers efficiently for optimal control problems. We first conduct a comparative study of two prevalent approaches: offline supervised learning and online direct policy…

最优化与控制 · 数学 2024-04-10 Yue Zhao , Jiequn Han