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We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

机器学习 · 计算机科学 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

A multi-cell cluster-free NOMA framework is proposed, where both intra-cell and inter-cell interference are jointly mitigated via flexible cluster-free successive interference cancellation (SIC) and coordinated beamforming design. The joint…

信号处理 · 电气工程与系统科学 2022-12-26 Xiaoxia Xu , Yuanwei Liu , Qimei Chen , Xidong Mu , Zhiguo Ding

Order-agnostic autoregressive distribution (density) estimation (OADE), i.e., autoregressive distribution estimation where the features can occur in an arbitrary order, is a challenging problem in generative machine learning. Prior work on…

机器学习 · 计算机科学 2021-07-13 Michael A. Alcorn , Anh Nguyen

Observable operator models (OOMs) and related models are one of the most important and powerful tools for modeling and analyzing stochastic systems. They exactly describe dynamics of finite-rank systems and can be efficiently and…

机器学习 · 计算机科学 2017-06-22 Hao Wu , Frank Noé

We introduce the Laplace neural operator (LNO), which leverages the Laplace transform to decompose the input space. Unlike the Fourier Neural Operator (FNO), LNO can handle non-periodic signals, account for transient responses, and exhibit…

机器学习 · 计算机科学 2023-05-31 Qianying Cao , Somdatta Goswami , George Em Karniadakis

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,…

机器学习 · 计算机科学 2022-07-12 Junjie He , Zhihang Xu , Qifeng Liao

In large-scale distributed scenarios, increasingly complex tasks demand more intelligent collaboration across networks, requiring the joint extraction of structural representations from data samples. However, conventional task-specific…

机器学习 · 计算机科学 2026-04-21 Zhuojun Tian , Chaouki Ben Issaid , Mehdi Bennis

Neural operators (NOs) excel at learning mappings between function spaces, serving as efficient forward solution approximators for PDE-governed systems. However, as black-box solvers, they offer limited insight into the underlying physical…

机器学习 · 计算机科学 2026-02-10 Ning Liu , Lu Zhang , Tian Gao , Yue Yu

This paper addresses the optimal time-invariant formation tracking problem with the aim of providing a distributed solution for multi-agent systems with second-order integrator dynamics. In the literature, most of the results related to…

系统与控制 · 电气工程与系统科学 2025-01-08 Marco Fabris , Giulio Fattore , Angelo Cenedese

Dynamic graph neural networks (DyGNNs) have demonstrated powerful predictive abilities by exploiting graph structural and temporal dynamics. However, the existing DyGNNs fail to handle distribution shifts, which naturally exist in dynamic…

机器学习 · 计算机科学 2024-03-11 Zeyang Zhang , Xin Wang , Ziwei Zhang , Haoyang Li , Wenwu Zhu

Pansharpening aims to synthesize high-resolution multispectral (HR-MS) images by fusing the spatial textures of panchromatic (PAN) images with the spectral information of low-resolution multispectral (LR-MS) images. While recent deep…

计算机视觉与模式识别 · 计算机科学 2026-04-15 Anqi Zhu , Mengting Ma , Yizhen Jiang , Xiangdong Li , Kai Zheng , Jiaxin Li , Wei Zhang

Time-periodic quantum systems exhibit a rich variety of far-from-equilibrium phenomena and serve as ideal platforms for quantum engineering and control. However, simulating their dynamics with conventional numerical methods remains…

量子物理 · 物理学 2025-09-10 Zihao Qi , Yang Peng , Christopher Earls

A physics-informed convolutional neural network is proposed to simulate two phase flow in porous media with time-varying well controls. While most of PICNNs in existing literatures worked on parameter-to-state mapping, our proposed network…

机器学习 · 计算机科学 2024-10-24 Jungang Chen , Eduardo Gildin , John E. Killough

Learning PDE dynamics from limited data with unknown physics is challenging. Existing neural PDE solvers either require large datasets or rely on known physics (e.g., PDE residuals or handcrafted stencils), leading to limited applicability.…

机器学习 · 计算机科学 2026-05-25 Han Wan , Rui Zhang , Hao Sun

Machine learning simulations of open quantum dynamics often rely on recursive predictors that accumulate error. We develop a non-recursive convolutional neural networks (CNNs) that maps system parameters and a redundant time encoding…

化学物理 · 物理学 2025-12-11 Shun-Cai Zhao , Yi-Meng Huang , Yi-Fan Yang , Zi-Ran Zhao

Multi-label learning problems have manifested themselves in various machine learning applications. The key to successful multi-label learning algorithms lies in the exploration of inter-label correlations, which usually incur great…

计算机视觉与模式识别 · 计算机科学 2018-05-16 Zongting Lyu , Yan Yan , Fei Wu

Despite the recent popularity of attention-based neural architectures in core AI fields like natural language processing (NLP) and computer vision (CV), their potential in modeling complex physical systems remains under-explored. Learning…

机器学习 · 计算机科学 2024-08-15 Yue Yu , Ning Liu , Fei Lu , Tian Gao , Siavash Jafarzadeh , Stewart Silling

Accurate long-term traffic forecasting remains a critical challenge in intelligent transportation systems, particularly when predicting high-frequency traffic phenomena such as shock waves and congestion boundaries over extended rollout…

机器学习 · 计算机科学 2025-08-28 Owais Ahmad , Milad Ramezankhani , Anirudh Deodhar

We consider the problem of learning a realization of a partially observed bilinear dynamical system (BLDS) from noisy input-output data. Given a single trajectory of input-output samples, we provide a finite time analysis for learning the…

机器学习 · 计算机科学 2025-10-23 Yahya Sattar , Yassir Jedra , Maryam Fazel , Sarah Dean

In the paper, we propose an analytical and numerical approach to identify scalar parameters (coefficients, orders of fractional derivatives) in the multi-term fractional differential operator in time, $\mathbf{D}_t$. To this end, we analyze…

偏微分方程分析 · 数学 2026-04-07 Andrii Hulianytskyi , Sergei Pereverzyev , Sergii Siryk , Nataliya Vasylyeva