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In this work, we present some applications of random matrix theory for the training of deep neural networks. Recently, random matrix theory (RMT) has been applied to the overfitting problem in deep learning. Specifically, it has been shown…

Machine Learning · Computer Science 2023-03-17 Yitzchak Shmalo , Jonathan Jenkins , Oleksii Krupchytskyi

There has been a significant recent surge in deep neural network (DNN) techniques. Most of the existing DNN techniques have restricted model formats/assumptions. To overcome their limitations, we propose the nonparametric transformation…

Methodology · Statistics 2024-10-28 Tong Wang , Shunqin Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Deep spiking neural networks (SNNs) hold great potential for improving the latency and energy efficiency of deep neural networks through event-based computation. However, training such networks is difficult due to the non-differentiable…

Neural and Evolutionary Computing · Computer Science 2016-09-01 Jun Haeng Lee , Tobi Delbruck , Michael Pfeiffer

Deep Neural Networks (DNN) have achieved state-of-the-art results in a wide range of tasks, with the best results obtained with large training sets and large models. In the past, GPUs enabled these breakthroughs because of their greater…

Machine Learning · Computer Science 2016-04-19 Matthieu Courbariaux , Yoshua Bengio , Jean-Pierre David

Domain adaptation aims at training a classifier in one dataset and applying it to a related but not identical dataset. One successfully used framework of domain adaptation is to learn a transformation to match both the distribution of the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-03 Xu Zhang , Felix Xinnan Yu , Shih-Fu Chang , Shengjin Wang

Linear layers in neural networks (NNs) trained by gradient descent can be expressed as a key-value memory system which stores all training datapoints and the initial weights, and produces outputs using unnormalised dot attention over the…

Machine Learning · Computer Science 2022-06-20 Kazuki Irie , Róbert Csordás , Jürgen Schmidhuber

Researchers often treat data-driven and theory-driven models as two disparate or even conflicting methods in travel behavior analysis. However, the two methods are highly complementary because data-driven methods are more predictive but…

Machine Learning · Computer Science 2020-10-23 Shenhao Wang , Baichuan Mo , Jinhua Zhao

Developing machine learning-based interatomic potentials from ab-initio electronic structure methods remains a challenging task for computational chemistry and materials science. This work studies the capability of transfer learning, in…

Computational Physics · Physics 2023-03-22 Viktor Zaverkin , David Holzmüller , Luca Bonfirraro , Johannes Kästner

Pre-training is crucial for learning deep neural networks. Most of existing pre-training methods train simple models (e.g., restricted Boltzmann machines) and then stack them layer by layer to form the deep structure. This layer-wise…

Machine Learning · Computer Science 2015-06-09 Zhiyuan Tang , Dong Wang , Yiqiao Pan , Zhiyong Zhang

We present a comparison between two approaches to modelling hyperelastic material behaviour using data. The first approach is a novel approach based on Data-driven Computational Mechanics (DDCM) that completely bypasses the definition of a…

Computational Engineering, Finance, and Science · Computer Science 2024-09-23 Martin Zlatić , Felipe Rocha , Laurent Stainier , Marko Čanađija

Recent advances unveiled physical neural networks as promising machine learning platforms, offering faster and more energy-efficient information processing. Compared with extensively-studied optical neural networks, the development of…

Machine Learning · Computer Science 2024-04-25 Shuaifeng Li , Xiaoming Mao

This work investigates the ways in which deep learning methods can benefit from random projection (RP), a classic linear dimensionality reduction method. We focus on two areas where, as we have found, employing RP techniques can improve…

Machine Learning · Computer Science 2018-12-27 Piotr Iwo Wójcik

We present a numerical framework for deep neural network (DNN) modeling of unknown time-dependent partial differential equations (PDE) using their trajectory data. Unlike the recent work of [Wu and Xiu, J. Comput. Phys. 2020], where the…

Machine Learning · Computer Science 2021-11-24 Zhen Chen , Victor Churchill , Kailiang Wu , Dongbin Xiu

An interatomic potential for Al-Tb alloy around the composition of Al90Tb10 was developed using the deep neural network (DNN) learning method. The atomic configurations and the corresponding total potential energies and forces on each atom…

Materials Science · Physics 2023-07-19 L. Tang , Z. J. Yang , T. Q. Wen , K. M. Ho , M. J. Kramer , C. Z. Wang

We introduce a methodology for designing and training deep neural networks (DNN) that we call "Deep Regression Ensembles" (DRE). It bridges the gap between DNN and two-layer neural networks trained with random feature regression. Each layer…

Machine Learning · Statistics 2022-03-11 Antoine Didisheim , Bryan Kelly , Semyon Malamud

The structural design of functional molecules, also called molecular optimization, is an essential chemical science and engineering task with important applications, such as drug discovery. Deep generative models and combinatorial…

Machine Learning · Computer Science 2022-01-25 Tianfan Fu , Wenhao Gao , Cao Xiao , Jacob Yasonik , Connor W. Coley , Jimeng Sun

Magnetotelluric deep learning (DL) inversion methods based on joint data-driven and physics-driven have become a hot topic in recent years. When mapping observation data (or forward modeling data) to the resistivity model using neural…

Geophysics · Physics 2025-05-19 Peifan Jiang , Xuben Wang , Shuang Wang , Fei Deng , Kunpeng Wang , Bin Wang , Yuhan Yang

We propose a mask pretraining method for Graph Neural Networks (GNNs) to improve their performance on fitting potential energy surfaces, particularly in water systems. GNNs are pretrained by recovering spatial information related to…

Machine Learning · Computer Science 2024-06-21 Zehua Zhang , Zijie Li , Amir Barati Farimani

Modern deep neural networks (DNNs) are extremely powerful; however, this comes at the price of increased depth and having more parameters per layer, making their training and inference more computationally challenging. In an attempt to…

Machine Learning · Statistics 2024-03-04 Lingyu Gu , Yongqi Du , Yuan Zhang , Di Xie , Shiliang Pu , Robert C. Qiu , Zhenyu Liao

We study the applicability of a Deep Neural Network (DNN) approach to simulate one-dimensional non-relativistic fluid dynamics. Numerical fluid dynamical calculations are used to generate training data-sets corresponding to a broad range of…

Computational Physics · Physics 2021-06-08 Kirill Taradiy , Kai Zhou , Jan Steinheimer , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Horst Stoecker