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We consider the problem of learning a nonlinear function over a network of learners in a fully decentralized fashion. Online learning is additionally assumed, where every learner receives continuous streaming data locally. This learning…

机器学习 · 计算机科学 2021-03-01 Jeongmin Chae , Songnam Hong

To generate data from trained diffusion models, most inference algorithms, such as DDPM, DDIM, and other variants, rely on discretizing the reverse SDEs or their equivalent ODEs. In this paper, we view such approaches as decomposing the…

机器学习 · 统计学 2024-05-28 Xunpeng Huang , Difan Zou , Hanze Dong , Yi Zhang , Yi-An Ma , Tong Zhang

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

最优化与控制 · 数学 2025-07-15 Francesca Maggioni , Andrea Spinelli

It remains a challenge to simultaneously remove geometric distortion and space-time-varying blur in frames captured through a turbulent atmospheric medium. To solve, or at least reduce these effects, we propose a new scheme to recover a…

计算机视觉与模式识别 · 计算机科学 2014-01-20 Yuan Xie , Wensheng Zhang , Dacheng Tao , Wenrui Hu , Yanyun Qu , Hanzi Wang

Although projection-based reduced-order models (ROMs) for parameterized nonlinear dynamical systems have demonstrated exciting results across a range of applications, their broad adoption has been limited by their intrusivity: implementing…

机器学习 · 计算机科学 2021-06-18 Zhe Bai , Liqian Peng

Highly accurate simulations of complex phenomena governed by partial differential equations (PDEs) typically require intrusive methods and entail expensive computational costs, which might become prohibitive when approximating steady-state…

机器学习 · 计算机科学 2023-05-17 Paolo Conti , Giorgio Gobat , Stefania Fresca , Andrea Manzoni , Attilio Frangi

Two-dimensional (2D) materials have attracted extensive attention due to their unique characteristics and application potentials. Raman spectroscopy, as a rapid and non-destructive probe, exhibits distinct features and holds notable…

应用物理 · 物理学 2023-12-05 Yaping Qi , Dan Hu , Zhenping Wu , Ming Zheng , Guanghui Cheng , Yucheng Jiang , Yong P. Chen

Deep learning techniques have shown promise in many domain applications. This paper proposes a novel deep reservoir computing framework, termed deep recurrent stochastic configuration network (DeepRSCN) for modelling nonlinear dynamic…

机器学习 · 计算机科学 2024-10-29 Gang Dang , Dianhui Wang

This paper focuses on a new framework for reduced order modelling of non-intrusive data with application to 2D flows. To overcome the shortcomings of intrusive model order reduction usually derived by combining the POD and the Galerkin…

数值分析 · 数学 2016-11-16 D. A. Bistrian , I. M. Navon

Identifying coherent spatiotemporal patterns generated by complex dynamical systems is a central problem in many science and engineering disciplines. Here, we combine ideas from the theory of operator-valued kernels with delay-embedding…

数据分析、统计与概率 · 物理学 2018-05-24 Dimitrios Giannakis , Joanna Slawinska , Abbas Ourmazd , Zhizhen Zhao

The simulation of many complex phenomena in engineering and science requires solving expensive, high-dimensional systems of partial differential equations (PDEs). To circumvent this, reduced-order models (ROMs) have been developed to speed…

机器学习 · 计算机科学 2025-10-27 Paolo Conti , Jonas Kneifl , Andrea Manzoni , Attilio Frangi , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

Deep neural networks (DNNs) have been increasingly explored for receiver design because they can handle complex environments without relying on explicit channel models. Nevertheless, because communication channels change rapidly, their…

信息论 · 计算机科学 2026-02-25 Mohanad Obeed , Ming Jian

In the Internet-of-Things (IoT) systems, there are plenty of informative data provided by a massive number of IoT devices (e.g., sensors). Learning a function from such data is of great interest in machine learning tasks for IoT systems.…

机器学习 · 计算机科学 2020-11-19 Jeongmin Chae , Songnam Hong

Simulating fluid flows in different virtual scenarios is of key importance in engineering applications. However, high-fidelity, full-order models relying, e.g., on the finite element method, are unaffordable whenever fluid flows must be…

流体动力学 · 物理学 2021-11-24 Stefania Fresca , Andrea Manzoni

This work introduces a new unsupervised representation learning technique called Deep Convolutional Transform Learning (DCTL). By stacking convolutional transforms, our approach is able to learn a set of independent kernels at different…

机器学习 · 计算机科学 2020-10-05 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux , Giovanni Chierchia

We use a data-driven approach to model a three-dimensional turbulent flow using cutting-edge Deep Learning techniques. The deep learning framework incorporates physical constraints on the flow, such as preserving incompressibility and…

流体动力学 · 物理学 2021-12-08 Mohammadreza Momenifar , Enmao Diao , Vahid Tarokh , Andrew D. Bragg

Learning continuous-time stochastic dynamics is a fundamental and essential problem in modeling sporadic time series, whose observations are irregular and sparse in both time and dimension. For a given system whose latent states and…

机器学习 · 计算机科学 2021-04-30 Yingru Liu , Yucheng Xing , Xuewen Yang , Xin Wang , Jing Shi , Di Jin , Zhaoyue Chen

Diffusion models have emerged as a powerful class of generative models for molecular design, capable of capturing complex structural distributions and achieving high fidelity in 3D molecule generation. However, their widespread use remains…

机器学习 · 计算机科学 2026-01-15 Adrita Das , Peiran Jiang , Dantong Zhu , Barnabas Poczos , Jose Lugo-Martinez

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

机器学习 · 计算机科学 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Current Deep Learning methods for environment segmentation and velocity estimation rely on Convolutional Recurrent Neural Networks to exploit spatio-temporal relationships within obtained sensor data. These approaches derive scene dynamics…

计算机视觉与模式识别 · 计算机科学 2023-06-21 Marco Braun , Moritz Luszek , Mirko Meuter , Dominic Spata , Kevin Kollek , Anton Kummert