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Continuous-depth learning has recently emerged as a novel perspective on deep learning, improving performance in tasks related to dynamical systems and density estimation. Core to these approaches is the neural differential equation, whose…

机器学习 · 计算机科学 2020-09-22 Michael Poli , Stefano Massaroli , Atsushi Yamashita , Hajime Asama , Jinkyoo Park

We use physics-informed neural networks for solving the shallow-water equations for tsunami modeling. Physics-informed neural networks are an optimization based approach for solving differential equations that is completely meshless. This…

计算物理 · 物理学 2024-06-25 Rüdiger Brecht , Elsa Cardoso-Bihlo , Alex Bihlo

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

机器学习 · 计算机科学 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

We propose an efficient thermodynamics-informed latent space dynamics identification (tLaSDI) framework for the reduced-order modeling of parametric nonlinear dynamical systems. This framework integrates autoencoders for dimensionality…

机器学习 · 计算机科学 2025-06-11 Xiaolong He , Yeonjong Shin , Anthony Gruber , Sohyeon Jung , Kookjin Lee , Youngsoo Choi

Many decision-making problems in engineering applications such as transportation, power system and operations research require repeatedly solving large-scale linear programming problems with a large number of different inputs. For example,…

最优化与控制 · 数学 2020-06-11 Yize Chen , Baosen Zhang

Riding on the waves of deep neural networks, deep metric learning has also achieved promising results in various tasks using triplet network or Siamese network. Though the basic goal of making images from the same category closer than the…

计算机视觉与模式识别 · 计算机科学 2017-08-02 Yuhui Yuan , Kuiyuan Yang , Chao Zhang

Over the past decade, machine learning model complexity has grown at an extraordinary rate, as has the scale of the systems training such large models. However there is an alarmingly low hardware utilization (5-20%) in large scale AI…

硬件体系结构 · 计算机科学 2022-11-14 Newsha Ardalani , Saptadeep Pal , Puneet Gupta

We introduce LDAdam, a memory-efficient optimizer for training large models, that performs adaptive optimization steps within lower dimensional subspaces, while consistently exploring the full parameter space during training. This strategy…

机器学习 · 计算机科学 2025-03-04 Thomas Robert , Mher Safaryan , Ionut-Vlad Modoranu , Dan Alistarh

Physics-constrained data-driven computing is an emerging hybrid approach that integrates universal physical laws with data-driven models of experimental data for scientific computing. A new data-driven simulation approach coupled with a…

计算工程、金融与科学 · 计算机科学 2020-04-22 Qizhi He , Jiun-Shyan Chen

The reconstruction and prediction of full-state flows from sparse data are of great scientific and engineering significance yet remain challenging, especially in applications where data are sparse and/or subjected to noise. To this end,…

流体动力学 · 物理学 2023-12-08 Jiaxin Wu , Dunhui Xiao , Min Luo

Spreading processes play an increasingly important role in modeling for diffusion networks, information propagation, marketing and opinion setting. We address the problem of learning of a spreading model such that the predictions generated…

社会与信息网络 · 计算机科学 2021-07-27 Mateusz Wilinski , Andrey Y. Lokhov

Thermal issue is a major concern in 3D integrated circuit (IC) design. Thermal optimization of 3D IC often requires massive expensive PDE simulations. Neural network-based thermal prediction models can perform real-time prediction for many…

机器学习 · 计算机科学 2023-02-28 Ziyue Liu , Yixing Li , Jing Hu , Xinling Yu , Shinyu Shiau , Xin Ai , Zhiyu Zeng , Zheng Zhang

NOMAD (Navigating Optimal Model Application for Datastreams) is an intelligent framework for data enrichment during ingestion that optimizes realtime multiclass classification by dynamically constructing model chains, i.e ,sequences of…

Deep learning (DL) has recently emerged as a candidate for closure modeling of large-eddy simulation (LES) of turbulent flows. High-fidelity training data is typically limited: it is computationally costly (or even impossible) to…

流体动力学 · 物理学 2023-03-07 Justin Sirignano , Jonathan F. MacArt

Direct numerical simulation (DNS) of turbulent flows is computationally expensive and cannot be applied to flows with large Reynolds numbers. Large eddy simulation (LES) is an alternative that is computationally less demanding, but is…

流体动力学 · 物理学 2021-09-09 Shengyu Chen , Shervin Sammak , Peyman Givi , Joseph P. Yurko1 , Xiaowei Jia

This paper presents the design, implementation, and evaluation of the PyTorch distributed data parallel module. PyTorch is a widely-adopted scientific computing package used in deep learning research and applications. Recent advances in…

分布式、并行与集群计算 · 计算机科学 2020-06-30 Shen Li , Yanli Zhao , Rohan Varma , Omkar Salpekar , Pieter Noordhuis , Teng Li , Adam Paszke , Jeff Smith , Brian Vaughan , Pritam Damania , Soumith Chintala

We introduce a new method inspired by Adam that enhances convergence speed and achieves better loss function minima. Traditional optimizers, including Adam, apply uniform or globally adjusted learning rates across neural networks without…

机器学习 · 计算机科学 2024-11-01 Remi Genet , Hugo Inzirillo

Beginning from a basic neural-network architecture, we test the potential benefits offered by a range of advanced techniques for machine learning, in particular deep learning, in the context of a typical classification problem encountered…

数据分析、统计与概率 · 物理学 2020-06-03 Giles Chatham Strong

GPUs have been favored for training deep learning models due to their highly parallelized architecture. As a result, most studies on training optimization focus on GPUs. There is often a trade-off, however, between cost and efficiency when…

Stable partitioned techniques for simulating unsteady fluid-structure interaction (FSI) are known to be computationally expensive when high added-mass is involved. Multiple coupling strategies have been developed to accelerate these…

计算工程、金融与科学 · 计算机科学 2025-02-18 Azzeddine Tiba , Thibault Dairay , Florian de Vuyst , Iraj Mortazavi , Juan-Pedro Berro Ramirez