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Geometric Deep Learning (GDL) unifies a broad class of machine learning techniques from the perspectives of symmetries, offering a framework for introducing problem-specific inductive biases like Graph Neural Networks (GNNs). However, the…

机器学习 · 计算机科学 2024-08-29 Osvaldo Velarde , Lucas Parra , Paolo Boldi , Hernan Makse

We explore the suitability of deep learning to capture the physics of subgrid-scale ideal magnetohydrodynamics turbulence of 2-D simulations of the magnetized Kelvin-Helmholtz instability. We produce simulations at different resolutions to…

计算物理 · 物理学 2020-08-27 Shawn G. Rosofsky , E. A. Huerta

Deep transfer learning (DTL) is a fundamental method in the field of Intelligent Fault Detection (IFD). It aims to mitigate the degradation of method performance that arises from the discrepancies in data distribution between training set…

机器学习 · 计算机科学 2024-02-21 Zhongzhi Li , Jingqi Tu , Jiacheng Zhu , Jianliang Ai , Yiqun Dong

The slow convergence rate and pathological curvature issues of first-order gradient methods for training deep neural networks, initiated an ongoing effort for developing faster $\mathit{second}$-$\mathit{order}$ optimization algorithms…

机器学习 · 计算机科学 2020-12-10 Jan van den Brand , Binghui Peng , Zhao Song , Omri Weinstein

This paper introduces a new method based on Deep Galerkin Methods (DGMs) for solving high-dimensional stochastic Mean Field Games (MFGs). We achieve this by using two neural networks to approximate the unknown solutions of the MFG system…

机器学习 · 计算机科学 2023-08-09 Mouhcine Assouli , Badr Missaoui

In computational fluid dynamics, there is an inevitable trade off between accuracy and computational cost. In this work, a novel multi-fidelity deep generative model is introduced for the surrogate modeling of high-fidelity turbulent flow…

计算物理 · 物理学 2021-01-12 Nicholas Geneva , Nicholas Zabaras

Deep kernel learning (DKL) leverages the connection between Gaussian process (GP) and neural networks (NN) to build an end-to-end, hybrid model. It combines the capability of NN to learn rich representations under massive data and the…

机器学习 · 统计学 2020-08-20 Haitao Liu , Yew-Soon Ong , Xiaomo Jiang , Xiaofang Wang

Stochastic Gradient Decent (SGD) is one of the core techniques behind the success of deep neural networks. The gradient provides information on the direction in which a function has the steepest rate of change. The main problem with basic…

Classification and identification of the materials lying over or beneath the Earth's surface have long been a fundamental but challenging research topic in geoscience and remote sensing (RS) and have garnered a growing concern owing to the…

计算机视觉与模式识别 · 计算机科学 2020-08-13 Danfeng Hong , Lianru Gao , Naoto Yokoya , Jing Yao , Jocelyn Chanussot , Qian Du , Bing Zhang

Developing algorithms for solving high-dimensional partial differential equations (PDEs) has been an exceedingly difficult task for a long time, due to the notoriously difficult problem known as the "curse of dimensionality". This paper…

数值分析 · 数学 2020-07-17 Jiequn Han , Arnulf Jentzen , Weinan E

The scientific computation of large deformations in elastic-plastic solids is crucial in various manufacturing applications. Traditional numerical methods exhibit several inherent limitations, prompting Deep Learning (DL) as a promising…

人工智能 · 计算机科学 2026-01-16 Jianheng Tang , Shilong Tao , Zhe Feng , Haonan Sun , Menglu Wang , Zhanxing Zhu , Yunhuai Liu

At present, deep learning based methods are being employed to resolve the computational challenges of high-dimensional partial differential equations (PDEs). But the computation of the high order derivatives of neural networks is costly,…

数值分析 · 数学 2021-03-17 Quanhui Zhu , Jiang Yang

Deep learning techniques are increasingly applied to scientific problems, where the precision of networks is crucial. Despite being deemed as universal function approximators, neural networks, in practice, struggle to reduce the prediction…

机器学习 · 计算机科学 2023-07-19 Yongji Wang , Ching-Yao Lai

Next-gen networks require significant evolution of management to enable automation and adaptively adjust network configuration based on traffic dynamics. The advent of software-defined networking (SDN) and programmable switches enables…

网络与互联网体系结构 · 计算机科学 2024-02-08 Akshita Abrol , Purnima Murali Mohan , Tram Truong-Huu

The training of machine learning models is typically carried out using some form of gradient descent, often with great success. However, non-asymptotic analyses of first-order optimization algorithms typically employ a gradient smoothness…

机器学习 · 计算机科学 2024-06-18 Thomas Flynn

Based on neural network and adaptive subspace approximation method, we propose a new machine learning method for solving partial differential equations. The neural network is adopted to build the basis of the finite dimensional subspace.…

数值分析 · 数学 2024-12-04 Zhongshuo Lin , Yifan Wang , Hehu Xie

We introduce two-scale loss functions for use in various gradient descent algorithms applied to classification problems via deep neural networks. This new method is generic in the sense that it can be applied to a wide range of machine…

数值分析 · 数学 2021-09-03 Leonid Berlyand , Robert Creese , Pierre-Emmanuel Jabin

While the acquisition of time series has become more straightforward, developing dynamical models from time series is still a challenging and evolving problem domain. Within the last several years, to address this problem, there has been a…

机器学习 · 计算机科学 2023-07-19 Christopher W. Curtis , D. Jay Alford-Lago , Erik Bollt , Andrew Tuma

Deep Reinforcement Learning (DRL) algorithms can scale to previously intractable problems. The automation of profit generation in the stock market is possible using DRL, by combining the financial assets price "prediction" step and the…

交易与市场微观结构 · 定量金融 2022-09-20 Taylan Kabbani , Ekrem Duman

Increased complexity and heterogeneity of emerging 5G and beyond 5G (B5G) wireless networks will require a paradigm shift from traditional resource allocation mechanisms. Deep learning (DL) is a powerful tool where a multi-layer neural…

网络与互联网体系结构 · 计算机科学 2018-08-03 K. I. Ahmed , H. Tabassum , E. Hossain
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