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The study of parametric differential equations plays a crucial role in weather forecasting and epidemiological modeling. These phenomena are better represented using fractional derivatives due to their inherent memory or hereditary effects.…

数值分析 · 数学 2025-03-31 S M Sivalingam , V Govindaraj , A. S. Hendy

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

数值分析 · 数学 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Artificial neural networks (ANNs) have been successfully applied to solve a variety of classification and function approximation problems. Although ANNs can generally predict better than decision trees for pattern classification problems,…

神经与进化计算 · 计算机科学 2010-09-28 S. M. Kamruzzaman , Md. Monirul Islam

In edge intelligence systems, deep neural network (DNN) partitioning and data offloading can provide real-time task inference for resource-constrained mobile devices. However, the inference time of DNNs is typically uncertain and cannot be…

分布式、并行与集群计算 · 计算机科学 2025-09-24 Zhaojun Nan , Yunchu Han , Sheng Zhou , Zhisheng Niu

We present a subspace method based on neural networks (SNN) for solving the partial differential equation with high accuracy. The basic idea of our method is to use some functions based on neural networks as base functions to span a…

数值分析 · 数学 2024-04-15 Zhaodong Xu , Zhiqiang Sheng

We present a method leveraging extreme learning machine (ELM) type randomized neural networks (NNs) for learning the exact time integration algorithm for initial value problems (IVPs). The exact time integration algorithm for non-autonomous…

数值分析 · 数学 2025-02-18 Suchuan Dong , Naxian Ni

This paper introduces a novel type of memetic algorithm based Topology and Weight Evolving Artificial Neural Network (TWEANN) system called DX Neural Network (DXNN). DXNN implements a number of interesting features, amongst which is: a…

神经与进化计算 · 计算机科学 2011-07-19 Gene I. Sher

The conjoining of dynamical systems and deep learning has become a topic of great interest. In particular, neural differential equations (NDEs) demonstrate that neural networks and differential equation are two sides of the same coin.…

机器学习 · 计算机科学 2022-02-08 Patrick Kidger

This paper investigates efficient deep neural networks (DNNs) to replace dense unstructured weight matrices with structured ones that possess desired properties. The challenge arises because the optimal weight matrix structure in popular…

机器学习 · 计算机科学 2024-03-11 Changwoo Lee , Hun-Seok Kim

Deep Neural Network (DNN) models are usually trained sequentially from one layer to another, which causes forward, backward and update locking's problems, leading to poor performance in terms of training time. The existing parallel…

分布式、并行与集群计算 · 计算机科学 2022-07-25 Samson B. Akintoye , Liangxiu Han , Huw Lloyd , Xin Zhang , Darren Dancey , Haoming Chen , Daoqiang Zhang

Most uses of machine learning today involve training a model from scratch for a particular task, or sometimes starting with a model pretrained on a related task and then fine-tuning on a downstream task. Both approaches offer limited…

机器学习 · 计算机科学 2022-05-26 Andrea Gesmundo , Jeff Dean

Preventive maintenance of modern electric rotating machinery (RM) is critical for ensuring reliable operation, preventing unpredicted breakdowns and avoiding costly repairs. Recently many studies investigated machine learning monitoring…

机器学习 · 计算机科学 2021-10-01 Turker Ince , Junaid Malik , Ozer Can Devecioglu , Serkan Kiranyaz , Onur Avci , Levent Eren , Moncef Gabbouj

Training neural networks is an optimization problem, and finding a decent set of parameters through gradient descent can be a difficult task. A host of techniques has been developed to aid this process before and during the training phase.…

机器学习 · 计算机科学 2020-08-19 Divya Gaur , Joachim Folz , Andreas Dengel

Neural networks offer powerful tools to solve partial differential equations (PDEs). We present a Variational Physics-Informed Neural Network (VPINN) designed for parabolic problems. Our approach combines a classical time discretization…

Solving partial differential equations (PDEs) is the canonical approach for understanding the behavior of physical systems. However, large scale solutions of PDEs using state of the art discretization techniques remains an expensive…

计算工程、金融与科学 · 计算机科学 2021-01-14 Xiaoxuan Zhang , Krishna Garikipati

Conditional computation for Deep Neural Networks (DNNs) reduce overall computational load and improve model accuracy by running a subset of the network. In this work, we present a runtime throttleable neural network (TNN) that can…

机器学习 · 计算机科学 2020-11-06 Hengyue Liu , Samyak Parajuli , Jesse Hostetler , Sek Chai , Bir Bhanu

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

机器学习 · 计算机科学 2024-01-17 Soyed Tuhin Ahmed

Computer models play a key role in many scientific and engineering problems. One major source of uncertainty in computer model experiment is input parameter uncertainty. Computer model calibration is a formal statistical procedure to infer…

机器学习 · 统计学 2020-09-09 Saumya Bhatnagar , Won Chang , Seonjin Kim Jiali Wang

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

神经与进化计算 · 计算机科学 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Physics-informed neural networks solve partial differential equations by training neural networks. Since this method approximates infinite-dimensional PDE solutions with finite collocation points, minimizing discretization errors by…

机器学习 · 计算机科学 2024-12-11 Takashi Matsubara , Takaharu Yaguchi