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Deep learning has emerged as a compelling framework for scientific and engineering computing, motivating growing interest in neural network-based solvers for partial differential equations (PDEs). Within this landscape, network…

数值分析 · 数学 2026-04-06 Tao Cheng , Lili Ju , Zhonghua Qiao , Xiaoping Zhang

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…

机器学习 · 计算机科学 2022-02-09 Jiajun Liu , Kun Zhao , Brano Kusy , Ji-rong Wen , Raja Jurdak

A neural network-based chart pattern represents adaptive parametric features, including non-linear transformations, and a template that can be applied in the feature space. The search of neural network-based chart patterns has been…

神经与进化计算 · 计算机科学 2017-06-19 Myoung Hoon Ha , Byung-Ro Moon

The task of modelling and forecasting a dynamical system is one of the oldest problems, and it remains challenging. Broadly, this task has two subtasks - extracting the full dynamical information from a partial observation; and then…

动力系统 · 数学 2022-08-16 Tyrus Berry , Suddhasattwa Das

In complex systems, information propagation can be defined as diffused or delocalized, weakly localized, and strongly localized. This study investigates the application of graph neural network models to learn the behavior of a linear…

机器学习 · 计算机科学 2025-09-09 Priodyuti Pradhan , Amit Reza

Large pre-trained models, or foundation models, have shown impressive performance when adapted to a variety of downstream tasks, often out-performing specialized models. Hypernetworks, neural networks that generate some or all of the…

机器学习 · 计算机科学 2025-03-04 Jeffrey Gu , Serena Yeung-Levy

Information networks are ubiquitous and are ideal for modeling relational data. Networks being sparse and irregular, network embedding algorithms have caught the attention of many researchers, who came up with numerous embeddings algorithms…

机器学习 · 计算机科学 2020-09-25 Junshan Wang , Yilun Jin , Guojie Song , Xiaojun Ma

Data-driven models for predicting dynamic responses of linear and nonlinear systems are of great importance due to their wide application from probabilistic analysis to inverse problems such as system identification and damage diagnosis. In…

机器学习 · 计算机科学 2020-12-29 Soheil Sadeghi Eshkevari , Martin Takáč , Shamim N. Pakzad , Majid Jahani

We reinvigorate maximum likelihood estimation (MLE) for macroeconomic density forecasting through a novel neural network architecture with dedicated mean and variance hemispheres. Our architecture features several key ingredients making MLE…

计量经济学 · 经济学 2024-04-24 Philippe Goulet Coulombe , Mikael Frenette , Karin Klieber

Generative Flow Networks (GFlowNets) have emerged as an innovative learning paradigm designed to address the challenge of sampling from an unnormalized probability distribution, called the reward function. This framework learns a policy on…

机器学习 · 计算机科学 2024-07-04 Anas Krichel , Nikolay Malkin , Salem Lahlou , Yoshua Bengio

Hypergraphs offer a generalized framework for capturing high-order relationships between entities and have been widely applied in various domains, including healthcare, social networks, and bioinformatics. Hypergraph neural networks, which…

机器学习 · 计算机科学 2025-12-03 Akash Choudhuri , Yongjian Zhong , Bijaya Adhikari

In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed-forward deep network, called PDE-Net, to fulfill two…

数值分析 · 数学 2018-01-03 Zichao Long , Yiping Lu , Xianzhong Ma , Bin Dong

In this paper, we discuss the learning of generalised policies for probabilistic and classical planning problems using Action Schema Networks (ASNets). The ASNet is a neural network architecture that exploits the relational structure of…

人工智能 · 计算机科学 2020-05-06 Sam Toyer , Felipe Trevizan , Sylvie Thiébaux , Lexing Xie

Typical Convolutional Neural Networks (ConvNets) depend heavily on large amounts of image data and resort to an iterative optimization algorithm (e.g., SGD or Adam) to learn network parameters, which makes training very time- and…

计算机视觉与模式识别 · 计算机科学 2024-08-12 Shiye Wang , Kaituo Feng , Changsheng Li , Ye Yuan , Guoren Wang

Overparameterized models have proven to be powerful tools for solving various machine learning tasks. However, overparameterization often leads to a substantial increase in computational and memory costs, which in turn requires extensive…

机器学习 · 计算机科学 2024-03-13 Soo Min Kwon , Zekai Zhang , Dogyoon Song , Laura Balzano , Qing Qu

Modeling data obtained from dynamical systems has gained attention in recent years as a challenging task for machine learning models. Previous approaches assume the measurements to be distributed on a grid. However, for real-world…

机器学习 · 计算机科学 2023-06-27 Paul Heinisch , Andrzej Dulny , Anna Krause , Andreas Hotho

Mathematical modeling is an essential step, for example, to analyze the transient behavior of a dynamical process and to perform engineering studies such as optimization and control. With the help of first-principles and expert knowledge, a…

机器学习 · 计算机科学 2021-03-30 Pawan Goyal , Peter Benner

In this paper, we present a new deep learning architecture for addressing the problem of supervised learning with sparse and irregularly sampled multivariate time series. The architecture is based on the use of a semi-parametric…

机器学习 · 计算机科学 2019-09-18 Satya Narayan Shukla , Benjamin M. Marlin

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

统计力学 · 物理学 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

Networks are fundamental to the study of complex systems, ranging from social contacts, message transactions, to biological regulations and economical networks. In many realistic applications, these networks may vary over time. Modeling and…

社会与信息网络 · 计算机科学 2020-04-07 Kun Tu , Jian Li , Don Towsley , Dave Braines , Liam Turner