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Deep Neural Networks (DNNs) have become increasingly popular in computer vision, natural language processing, and other areas. However, training and fine-tuning a deep learning model is computationally intensive and time-consuming. We…

Machine Learning · Computer Science 2018-07-04 Jiayi Liu , Samarth Tripathi , Unmesh Kurup , Mohak Shah

This paper studies deep neural networks for solving extremely large linear systems arising from highdimensional problems. Because of the curse of dimensionality, it is expensive to store both the solution and right-hand side vector in such…

Numerical Analysis · Mathematics 2023-03-07 Yiqi Gu , Michael K. Ng

This study compares various superlearner and deep learning architectures (machine-learning-based and neural-network-based) for classification problems across several simulated and industrial datasets to assess performance and computational…

Machine Learning · Statistics 2017-08-23 Colleen M. Farrelly

Three important properties of a classification machinery are: (i) the system preserves the core information of the input data; (ii) the training examples convey information about unseen data; and (iii) the system is able to treat…

Neural and Evolutionary Computing · Computer Science 2016-06-29 Raja Giryes , Guillermo Sapiro , Alex M. Bronstein

We explore the application of machine learning based on mixture density neural networks (MDNs) to the interior characterization of low-mass exoplanets up to 25 Earth masses constrained by mass, radius, and fluid Love number $k_2$. We create…

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

This work develops rigorous theoretical basis for the fact that deep Bayesian neural network (BNN) is an effective tool for high-dimensional variable selection with rigorous uncertainty quantification. We develop new Bayesian non-parametric…

Machine Learning · Statistics 2019-12-04 Jeremiah Zhe Liu

A deep neural network (DNN) has been developed to generate the distributions of nuclear charge density, utilizing the training data from the relativistic density functional theory and incorporating available experimental charge radii of…

Nuclear Theory · Physics 2024-07-09 Tian Shuai Shang , Hui Hui Xie , Jian Li , Haozhao Liang

Deep learning (DL) has been applied extensively in many computational imaging problems, often leading to superior performance over traditional iterative approaches. However, two important questions remain largely unanswered: first, how well…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Mo Deng , Shuai Li , Iksung Kang , Nicholas X. Fang , George Barbastathis

Scientific progress is tightly coupled to the emergence of new research tools. Today, machine learning (ML)-especially deep learning (DL)-has become a transformative instrument for quantum science and technology. Owing to the intrinsic…

Quantum Physics · Physics 2025-08-15 Timothy Heightman , Marcin Płodzień

Recent years have witnessed a growth in mathematics for deep learning--which seeks a deeper understanding of the concepts of deep learning with mathematics and explores how to make it more robust--and deep learning for mathematics, where…

Machine Learning · Computer Science 2023-10-31 Derick Nganyu Tanyu , Jianfeng Ning , Tom Freudenberg , Nick Heilenkötter , Andreas Rademacher , Uwe Iben , Peter Maass

Quantum Neural Networks (QNNs), a prominent approach in Quantum Machine Learning (QML), are emerging as a powerful alternative to classical machine learning methods. Recent studies have focused on the applicability of QNNs to various tasks,…

Machine Learning · Computer Science 2025-07-01 Batuhan Hangun , Oguz Altun , Onder Eyecioglu

The landscape of condensed matter physics is facing an unprecedented data surge driven by high-throughput ab initio workflows and rapidly expanding experimental datasets. Traditional first-principles methods such as Density Functional…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 Mahyar Hassani-Vasmejani , Hosein Alavi-Rad , Meysam Bagheri Tagani

Deep learning, as a highly efficient method for metasurface inverse design, commonly use simulation data to train deep neural networks (DNNs) that can map desired functionalities to proper metasurface designs. However, the assumptions and…

Signal Processing · Electrical Eng. & Systems 2023-08-07 Jingxin Zhang , Jiawei Xi , Peixing Li , Ray C. C. Cheung , Alex M. H. Wong , Jensen Li

In this paper, we introduce the algorithms of Orthogonal Deep Neural Networks (OrthDNNs) to connect with recent interest of spectrally regularized deep learning methods. OrthDNNs are theoretically motivated by generalization analysis of…

Machine Learning · Computer Science 2019-10-16 Kui Jia , Shuai Li , Yuxin Wen , Tongliang Liu , Dacheng Tao

In recent years, the question of the reliability of Machine Learning (ML) methods has acquired significant importance, and the analysis of the associated uncertainties has motivated a growing amount of research. However, most of these…

Artificial Intelligence · Computer Science 2024-07-01 Luigi Scorzato

Defect detection is a basic and essential task in automatic parts production, especially for automotive engine precision parts. In this paper, we propose a new idea to construct a deep convolutional network combining related knowledge of…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Zhenshen Qu , Jianxiong Shen , Ruikun Li , Junyu Liu , Qiuyu Guan

Computational chemistry has come a long way over the course of several decades, enabling subatomic level calculations particularly with the development of Density Functional Theory (DFT). Recently, machine-learned potentials (MLP) have…

Deep Neural Networks (DNNs) rely on inherent fluctuations in their internal parameters (weights and biases) to effectively navigate the complex optimization landscape and achieve robust performance. While these fluctuations are recognized…

Machine Learning · Computer Science 2025-11-14 Darsh Pareek , Umesh Kumar , Ruthu Rao , Ravi Janjam

The manifold hypothesis (real world data concentrates near low-dimensional manifolds) is suggested as the principle behind the effectiveness of machine learning algorithms in very high dimensional problems that are common in domains such as…

Machine Learning · Computer Science 2022-07-15 Aditya Chetan , Nipun Kwatra