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Deep neural networks (DNNs) have shown their success as high-dimensional function approximators in many applications; however, training DNNs can be challenging in general. DNN training is commonly phrased as a stochastic optimization…

机器学习 · 计算机科学 2021-09-30 Elizabeth Newman , Julianne Chung , Matthias Chung , Lars Ruthotto

Distant speech recognition is a challenge, particularly due to the corruption of speech signals by reverberation caused by large distances between the speaker and microphone. In order to cope with a wide range of reverberations in…

计算与语言 · 计算机科学 2016-08-18 Jeehye Lee , Myungin Lee , Joon-Hyuk Chang

Deep neural networks (DNNs) are increasingly being deployed to perform safety-critical tasks. The opacity of DNNs, which prevents humans from reasoning about them, presents new safety and security challenges. To address these challenges,…

计算机科学中的逻辑 · 计算机科学 2023-07-11 Omri Isac , Yoni Zohar , Clark Barrett , Guy Katz

Many problems in science and engineering can be represented by a set of partial differential equations (PDEs) through mathematical modeling. Mechanism-based computation following PDEs has long been an essential paradigm for studying topics…

机器学习 · 计算机科学 2022-11-21 Shudong Huang , Wentao Feng , Chenwei Tang , Jiancheng Lv

Diffractive optical elements (DOEs) are widely applied as compact solutions for desired light manipulations via wavefront shaping. Recent advanced chip applications further require their feature sizes to move down to the subwavelength,…

光学 · 物理学 2021-11-01 I-Lin Ho

In this paper, we construct approximated solutions of Differential Equations (DEs) using the Deep Neural Network (DNN). Furthermore, we present an architecture that includes the process of finding model parameters through experimental data,…

数值分析 · 数学 2019-07-31 Hyeontae Jo , Hwijae Son , Hyung Ju Hwang , Eunheui Kim

Deep learning for distribution grid optimization can be advocated as a promising solution for near-optimal yet timely inverter dispatch. The principle is to train a deep neural network (DNN) to predict the solutions of an optimal power flow…

最优化与控制 · 数学 2020-07-09 Manish K. Singh , Sarthak Gupta , Vassilis Kekatos , Guido Cavraro , Andrey Bernstein

In recent years, neuroscientists have been interested to the development of brain-computer interface (BCI) devices. Patients with motor disorders may benefit from BCIs as a means of communication and for the restoration of motor functions.…

信号处理 · 电气工程与系统科学 2022-11-23 Zaineb Ajra , Binbin Xu , Gérard Dray , Jacky Montmain , Stephane Perrey

System identification through learning approaches is emerging as a promising strategy for understanding and simulating dynamical systems, which nevertheless faces considerable difficulty when confronted with power systems modeled by…

系统与控制 · 电气工程与系统科学 2023-12-14 Wenjie Mei , Muhammad Nadeem , MirSaleh Bahavarnia , Ahmad F. Taha

Deep Neural Networks (DNNs) are generated by sequentially performing linear and non-linear processes. Using a combination of linear and non-linear procedures is critical for generating a sufficiently deep feature space. The majority of…

计算机视觉与模式识别 · 计算机科学 2022-07-29 Yufei Hu , Nacim Belkhir , Jesus Angulo , Angela Yao , Gianni Franchi

In this work, we used deep neural networks (DNNs) to solve a fundamental problem in differential geometry. One can find many closed-form expressions for calculating curvature, length, and other geometric properties in the literature. As we…

图形学 · 计算机科学 2021-02-04 Barak Or , Liam Hazan

We propose a unified framework for delay differential equations (DDEs) based on deep neural networks (DNNs) - the neural delay differential equations (NDDEs), aimed at solving the forward and inverse problems of delay differential…

机器学习 · 计算机科学 2024-08-27 Housen Wang , Yuxing Chen , Sirong Cao , Xiaoli Wang , Qiang Liu

Reduced numerical precision is a common technique to reduce computational cost in many Deep Neural Networks (DNNs). While it has been observed that DNNs are resilient to small errors and noise, no general result exists that is capable of…

机器学习 · 统计学 2018-05-04 Zhaoqi Li , Yu Ma , Catalina Vajiac , Yunkai Zhang

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

In this article we propose a new deep learning approach to approximate operators related to parametric partial differential equations (PDEs). In particular, we introduce a new strategy to design specific artificial neural network (ANN)…

数值分析 · 数学 2026-05-01 Arnulf Jentzen , Adrian Riekert , Philippe von Wurstemberger

Deep neural networks (DNNs) are emerging as a potential solution to solve NP-hard wireless resource allocation problems. However, in the presence of intricate constraints, e.g., users' quality-of-service (QoS) constraints, guaranteeing…

网络与互联网体系结构 · 计算机科学 2023-06-06 Mehrazin Alizadeh , Hina Tabassum

Deep Neural Networks (DNN) are core components for classification and regression tasks of many software systems. Companies incur in high costs for testing DNN with datasets representative of the inputs expected in operation, as these need…

软件工程 · 计算机科学 2024-03-29 Antonio Guerriero , Roberto Pietrantuono , Stefano Russo

Though deep learning has been applied successfully in many scenarios, malicious inputs with human-imperceptible perturbations can make it vulnerable in real applications. This paper proposes an error-correcting neural network (ECNN) that…

机器学习 · 计算机科学 2021-05-10 Yang Song , Qiyu Kang , Wee Peng Tay

Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned via gradient descent or similar optimization methods. However,…

机器学习 · 统计学 2016-10-11 Anthony Caterini , Dong Eui Chang

A dynamical neural network consists of a set of interconnected neurons that interact over time continuously. It can exhibit computational properties in the sense that the dynamical system's evolution and/or limit points in the associated…

机器学习 · 计算机科学 2018-05-24 Tsung-Han Lin , Ping Tak Peter Tang