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A new penalty-free neural network method, PFNN-2, is presented for solving partial differential equations, which is a subsequent improvement of our previously proposed PFNN method [1]. PFNN-2 inherits all advantages of PFNN in handling the…

数值分析 · 数学 2022-05-03 Hailong Sheng , Chao Yang

The Deep neural networks (DNNs) have achieved great success on a variety of computer vision tasks, however, they are highly vulnerable to adversarial attacks. To address this problem, we propose to improve the local smoothness of the…

计算机视觉与模式识别 · 计算机科学 2019-09-23 Yaoyao Zhong , Weihong Deng

We propose a simple methodology to approximate functions with given asymptotic behavior by specifically constructed terms and an unconstrained deep neural network (DNN). The methodology we describe extends to various asymptotic behaviors…

计算金融 · 定量金融 2025-07-08 Hardik Routray , Bernhard Hientzsch

In this paper, we introduce a physics-driven regularization method for training of deep neural networks (DNNs) for use in engineering design and analysis problems. In particular, we focus on prediction of a physical system, for which in…

机器学习 · 计算机科学 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

Deep neural networks (DNNs) have emerged as a powerful tool with a growing body of literature exploring Lyapunov-based approaches for real-time system identification and control. These methods depend on establishing bounds for the second…

系统与控制 · 电气工程与系统科学 2026-05-20 Omkar Sudhir Patil , Brandon C. Fallin , Cristian F. Nino , Rebecca G. Hart , Warren E. Dixon

A deep neural network (DNN) based power control method is proposed, which aims at solving the non-convex optimization problem of maximizing the sum rate of a multi-user interference channel. Towards this end, we first present PCNet, which…

信号处理 · 电气工程与系统科学 2019-03-12 Fei Liang , Cong Shen , Wei Yu , Feng Wu

Motivated by the gap between theoretical optimal approximation rates of deep neural networks (DNNs) and the accuracy realized in practice, we seek to improve the training of DNNs. The adoption of an adaptive basis viewpoint of DNNs leads to…

机器学习 · 计算机科学 2019-12-11 Eric C. Cyr , Mamikon A. Gulian , Ravi G. Patel , Mauro Perego , Nathaniel A. Trask

Deep Neural Networks (DNNs) are a revolutionary force in the ongoing information revolution, and yet their intrinsic properties remain a mystery. In particular, it is widely known that DNNs are highly sensitive to noise, whether adversarial…

机器学习 · 计算机科学 2020-05-01 Netanel Raviv , Siddharth Jain , Pulakesh Upadhyaya , Jehoshua Bruck , Anxiao Jiang

Deep Neural Networks (DNN) have emerged as an effective approach to tackling real-world problems. However, like human-written software, DNNs are susceptible to bugs and attacks. This has generated significant interests in developing…

机器学习 · 计算机科学 2024-01-29 Hai Duong , Dong Xu , ThanhVu Nguyen , Matthew B. Dwyer

Despite great recent advances achieved by deep neural networks (DNNs), they are often vulnerable to adversarial attacks. Intensive research efforts have been made to improve the robustness of DNNs; however, most empirical defenses can be…

机器学习 · 计算机科学 2023-01-02 Jiawei Zhang , Linyi Li , Ce Zhang , Bo Li

Analyzing the worst-case performance of deep neural networks against input perturbations amounts to solving a large-scale non-convex optimization problem, for which several past works have proposed convex relaxations as a promising…

机器学习 · 计算机科学 2022-07-11 Shaoru Chen , Eric Wong , J. Zico Kolter , Mahyar Fazlyab

Deep learning (DL) is transforming industry as decision-making processes are being automated by deep neural networks (DNNs) trained on real-world data. Driven partly by rapidly-expanding literature on DNN approximation theory showing they…

机器学习 · 计算机科学 2021-02-17 Ben Adcock , Nick Dexter

Deep Neural Networks (DNNs) are powerful tools for various computer vision tasks, yet they often struggle with reliable uncertainty quantification - a critical requirement for real-world applications. Bayesian Neural Networks (BNN) are…

机器学习 · 计算机科学 2023-12-27 Gianni Franchi , Olivier Laurent , Maxence Leguéry , Andrei Bursuc , Andrea Pilzer , Angela Yao

Deep learning has been the engine powering many successes of data science. However, the deep neural network (DNN), as the basic model of deep learning, is often excessively over-parameterized, causing many difficulties in training,…

机器学习 · 统计学 2021-03-09 Yan Sun , Qifan Song , Faming Liang

Recent work has shown deep neural networks (DNNs) to be highly susceptible to well-designed, small perturbations at the input layer, or so-called adversarial examples. Taking images as an example, such distortions are often imperceptible,…

机器学习 · 计算机科学 2015-04-13 Shixiang Gu , Luca Rigazio

Despite being effective in many application areas, Deep Neural Networks (DNNs) are vulnerable to being attacked. In object recognition, the attack takes the form of a small perturbation added to an image, that causes the DNN to misclassify,…

机器学习 · 计算机科学 2025-01-14 T. Windeatt

Deep Neural Networks and Reinforcement Learning methods have empirically shown great promise in tackling challenging combinatorial problems. In those methods a deep neural network is used as a solution generator which is then trained by…

机器学习 · 计算机科学 2023-11-08 Constantine Caramanis , Dimitris Fotakis , Alkis Kalavasis , Vasilis Kontonis , Christos Tzamos

Traditional physics-informed neural networks (PINNs) do not always satisfy physics based constraints, especially when the constraints include differential operators. Rather, they minimize the constraint violations in a soft way. Strict…

机器学习 · 计算机科学 2025-12-08 Rahul Golder , Bimol Nath Roy , M. M. Faruque Hasan

Recently, deep neural networks (DNNs) have shown advantages in accelerating optimization algorithms. One approach is to unfold finite number of iterations of conventional optimization algorithms and to learn parameters in the algorithms.…

机器学习 · 计算机科学 2021-04-23 Byung Hyun Lee , Se Young Chun

We propose FLARE, the first fingerprinting mechanism to verify whether a suspected Deep Reinforcement Learning (DRL) policy is an illegitimate copy of another (victim) policy. We first show that it is possible to find non-transferable,…

机器学习 · 计算机科学 2023-09-26 Buse G. A. Tekgul , N. Asokan