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We present a numerical framework for deep neural network (DNN) modeling of unknown time-dependent partial differential equations (PDE) using their trajectory data. Unlike the recent work of [Wu and Xiu, J. Comput. Phys. 2020], where the…

Machine Learning · Computer Science 2021-11-24 Zhen Chen , Victor Churchill , Kailiang Wu , Dongbin Xiu

Neural Cellular Automata (NCA) are a powerful combination of machine learning and mechanistic modelling. We train NCA to learn complex dynamics from time series of images and PDE trajectories. Our method is designed to identify underlying…

Pattern Formation and Solitons · Physics 2024-04-23 Alex D. Richardson , Tibor Antal , Richard A. Blythe , Linus J. Schumacher

Intelligent systems across physics, language and perception often exhibit factorisable structure, yet are typically modelled by monolithic neural architectures that do not explicitly exploit this structure. The separable neural architecture…

Machine Learning · Computer Science 2026-03-17 Reza T. Batley , Apurba Sarker , Rajib Mostakim , Andrew Klichine , Sourav Saha

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Recent advances in deep learning from probability distributions successfully achieve classification or regression from distribution samples, thus invariant under permutation of the samples. The first contribution of the paper is to extend…

Machine Learning · Statistics 2020-10-20 Gwendoline De Bie , Herilalaina Rakotoarison , Gabriel Peyré , Michèle Sebag

The use of deep neural network (DNN) models as surrogates for linear and nonlinear structural dynamical systems is explored. The goal is to develop DNN based surrogates to predict structural response, i.e., displacements and accelerations,…

Machine Learning · Computer Science 2021-11-05 Nan Feng , Guodong Zhang , Kapil Khandelwal

Artificial neural networks (ANNs), which are inspired by the brain, are a central pillar in the ongoing breakthrough in artificial intelligence. In recent years, researchers have examined mechanical implementations of ANNs, denoted as…

Neural and Evolutionary Computing · Computer Science 2024-06-04 Eran Ben-Haim , Sefi Givli , Yizhar Or , Amir Gat

The proliferation of multi-source remote sensing data has propelled the development of deep learning for dense prediction, yet significant challenges in data and task unification persist. Current deep learning architectures for remote…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Sijie Zhao , Feng Liu , Enzhuo Zhang , Yiqing Guo , Pengfeng Xiao , Lei Bai , Xueliang Zhang , Hao Chen

Partial Differential Equations are infinite dimensional encoded representations of physical processes. However, imbibing multiple observation data towards a coupled representation presents significant challenges. We present a fully…

Machine Learning · Computer Science 2020-03-09 Gurpreet Singh , Soumyajit Gupta , Matt Lease , Clint N. Dawson

Convolutional Neural Networks (CNNs) have proven to be highly effective in solving a broad spectrum of computer vision tasks, such as classification, identification, and segmentation. These methods can be deployed in both centralized and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-12 Victor Forattini Jansen , Emanuel Teixeira Martins , Yasmin Souza Lima , Flavio de Oliveira Silva , Rodrigo Moreira , Larissa Ferreira Rodrigues Moreira

By leveraging the kernel trick in the output space, kernel-induced losses provide a principled way to define structured output prediction tasks for a wide variety of output modalities. In particular, they have been successfully used in the…

Machine Learning · Statistics 2024-06-14 Tamim El Ahmad , Junjie Yang , Pierre Laforgue , Florence d'Alché-Buc

The generalization properties of Gaussian processes depend heavily on the choice of kernel, and this choice remains a dark art. We present the Neural Kernel Network (NKN), a flexible family of kernels represented by a neural network. The…

Machine Learning · Computer Science 2018-08-07 Shengyang Sun , Guodong Zhang , Chaoqi Wang , Wenyuan Zeng , Jiaman Li , Roger Grosse

We propose a novel deep structured learning framework for event temporal relation extraction. The model consists of 1) a recurrent neural network (RNN) to learn scoring functions for pair-wise relations, and 2) a structured support vector…

Computation and Language · Computer Science 2019-09-26 Rujun Han , I-Hung Hsu , Mu Yang , Aram Galstyan , Ralph Weischedel , Nanyun Peng

It has been proven that transfer learning provides an easy way to achieve state-of-the-art accuracies on several vision tasks by training a simple classifier on top of features obtained from pre-trained neural networks. The goal of this…

Machine Learning · Computer Science 2016-06-07 Milad Mohammadi , Subhasis Das

Effective urban traffic monitoring is essential for improving mobility, enhancing safety, and supporting sustainable cities. Distributed Acoustic Sensing (DAS) enables large-scale traffic observation by transforming existing fiber-optic…

Machine Learning · Computer Science 2026-03-17 Izhan Fakhruzi , Manuel Titos , Carmen Benítez , Luz García

Compared with artificial neural networks (ANNs), spiking neural networks (SNNs) are promising to explore the brain-like behaviors since the spikes could encode more spatio-temporal information. Although pre-training from ANN or direct…

Neural and Evolutionary Computing · Computer Science 2018-09-18 Yujie Wu , Lei Deng , Guoqi Li , Jun Zhu , Luping Shi

In this paper, we present a deep neural network based adaptive learning (DNN-AL) approach for switched systems. Currently, deep neural network based methods are actively developed for learning governing equations in unknown dynamic systems,…

Machine Learning · Computer Science 2022-07-12 Junjie He , Zhihang Xu , Qifeng Liao

The prediction of periodical time-series remains challenging due to various types of data distortions and misalignments. Here, we propose a novel model called Temporal embedding-enhanced convolutional neural Network (TeNet) to learn…

Machine Learning · Computer Science 2022-02-09 Jiajun Liu , Kun Zhao , Brano Kusy , Ji-rong Wen , Raja Jurdak

With recent advances in sensing technologies, a myriad of spatio-temporal data has been generated and recorded in smart cities. Forecasting the evolution patterns of spatio-temporal data is an important yet demanding aspect of urban…

Machine Learning · Computer Science 2023-11-27 Guangyin Jin , Yuxuan Liang , Yuchen Fang , Zezhi Shao , Jincai Huang , Junbo Zhang , Yu Zheng

This paper proposes a novel differentiable architecture search method by formulating it into a distribution learning problem. We treat the continuously relaxed architecture mixing weight as random variables, modeled by Dirichlet…

Machine Learning · Computer Science 2021-03-17 Xiangning Chen , Ruochen Wang , Minhao Cheng , Xiaocheng Tang , Cho-Jui Hsieh
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