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A deep neural network (DNN) with piecewise linear activations can partition the input space into numerous small linear regions, where different linear functions are fitted. It is believed that the number of these regions represents the…

机器学习 · 计算机科学 2020-04-30 Xiao Zhang , Dongrui Wu

This paper proposes a deep neural network (DNN)-driven framework to address the longstanding generalization challenge in adaptive filtering (AF). In contrast to traditional AF frameworks that emphasize explicit cost function design, the…

机器学习 · 统计学 2025-08-07 Qizhen Wang , Gang Wang , Ying-Chang Liang

Physics-Informed Neural Networks (PINNs) seek to solve partial differential equations (PDEs) with deep learning. Mainstream approaches that deploy fully-connected multi-layer deep learning architectures require prolonged training to achieve…

机器学习 · 计算机科学 2025-12-16 Shaghayegh Fazliani , Zachary Frangella , Madeleine Udell

In exchange for large quantities of data and processing power, deep neural networks have yielded models that provide state of the art predication capabilities in many fields. However, a lack of strong guarantees on their behaviour have…

机器学习 · 计算机科学 2020-01-22 Haakon Robinson , Adil Rasheed , Omer San

Accurate yet efficient Deep Neural Networks (DNNs) are in high demand, especially for applications that require their execution on constrained edge devices. Finding such DNNs in a reasonable time for new applications requires automated…

机器学习 · 计算机科学 2023-07-20 Daniele Jahier Pagliari , Matteo Risso , Beatrice Alessandra Motetti , Alessio Burrello

We consider the problem of reinforcement learning when provided with (1) a baseline control policy and (2) a set of constraints that the learner must satisfy. The baseline policy can arise from demonstration data or a teacher agent and may…

机器学习 · 计算机科学 2021-07-13 Tsung-Yen Yang , Justinian Rosca , Karthik Narasimhan , Peter J. Ramadge

Combining deep neural networks with structured logic rules is desirable to harness flexibility and reduce uninterpretability of the neural models. We propose a general framework capable of enhancing various types of neural networks (e.g.,…

机器学习 · 计算机科学 2020-08-11 Zhiting Hu , Xuezhe Ma , Zhengzhong Liu , Eduard Hovy , Eric Xing

Physics-informed neural networks (PINNs) have recently become a popular method for solving forward and inverse problems governed by partial differential equations (PDEs). By incorporating the residual of the PDE into the loss function of a…

最优化与控制 · 数学 2022-11-07 Saviz Mowlavi , Saleh Nabi

Imposing constraints on the output of a Deep Neural Net is one way to improve the quality of its predictions while loosening the requirements for labeled training data. Such constraints are usually imposed as soft constraints by adding new…

计算机视觉与模式识别 · 计算机科学 2017-06-08 Pablo Márquez-Neila , Mathieu Salzmann , Pascal Fua

Deep neural networks (DNNs) have demonstrated success for many supervised learning tasks, ranging from voice recognition, object detection, to image classification. However, their increasing complexity might yield poor generalization error…

机器学习 · 统计学 2019-05-24 Mouloud Belbahri , Eyyüb Sari , Sajad Darabi , Vahid Partovi Nia

Proximal operators are fundamental across many applications in signal processing and machine learning, including solving ill-posed inverse problems. Recent work has introduced Learned Proximal Networks (LPNs), providing parametric functions…

机器学习 · 计算机科学 2026-04-20 Oriel Savir , Zhenghan Fang , Jeremias Sulam

Deep Learning Accelerators are prone to faults which manifest in the form of errors in Neural Networks. Fault Tolerance in Neural Networks is crucial in real-time safety critical applications requiring computation for long durations. Neural…

机器学习 · 计算机科学 2021-06-01 Vasisht Duddu , D. Vijay Rao , Valentina E. Balas

As designers of artificial intelligence try to outwit hackers, both sides continue to hone in on AI's inherent vulnerabilities. Designed and trained from certain statistical distributions of data, AI's deep neural networks (DNNs) remain…

计算机视觉与模式识别 · 计算机科学 2022-04-25 Wenzhao Xiang , Hang Su , Chang Liu , Yandong Guo , Shibao Zheng

Inverse problems arise almost everywhere in science and engineering where we need to infer on a quantity from indirect observation. The cases of medical, biomedical, and industrial imaging systems are the typical examples. A very high…

机器学习 · 计算机科学 2025-02-20 Ali Mohammad-Djafari

In recent years, new regularization methods based on (deep) neural networks have shown very promising empirical performance for the numerical solution of ill-posed problems, e.g., in medical imaging and imaging science. Due to the…

数值分析 · 数学 2024-06-07 Tim Jahn , Bangti Jin

We show that the physics-informed neural networks (PINNs), in combination with some recently developed discontinuity capturing neural networks, can be applied to solve optimal control problems subject to partial differential equations…

最优化与控制 · 数学 2026-02-16 Ming-Chih Lai , Yongcun Song , Xiaoming Yuan , Hangrui Yue , Tianyou Zeng

DNN structures are continuously developing and achieving high performances in classification problems. Also, it is observed that success rates obtained with DNNs are higher than those obtained with traditional neural networks. In addition,…

机器学习 · 计算机科学 2022-01-02 Tamer Ölmez , Zümray Dokur

Deep neural networks (DNNs) are vulnerable to adversarial examples and other data perturbations. Especially in safety critical applications of DNNs, it is therefore crucial to detect misclassified samples. The current state-of-the-art…

机器学习 · 计算机科学 2020-04-21 Julia Lust , Alexandru Paul Condurache

Deep Neural Networks (DNNs) are vulnerable to adversarial attacks: carefully constructed perturbations to an image can seriously impair classification accuracy, while being imperceptible to humans. While there has been a significant amount…

机器学习 · 计算机科学 2020-12-23 Can Bakiskan , Metehan Cekic , Ahmet Dundar Sezer , Upamanyu Madhow

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert