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Machine Learning models incorporating multiple layered learning networks have been seen to provide effective models for various classification problems. The resulting optimization problem to solve for the optimal vector minimizing the…

最优化与控制 · 数学 2018-07-03 Vyacheslav Kungurtsev , Tomas Pevny

Deep neural networks (DNNs) play an important role in machine learning due to its outstanding performance compared to other alternatives. However, DNNs are not suitable for safety-critical applications since DNNs can be easily fooled by…

机器学习 · 计算机科学 2021-03-26 Zhixin Pan , Prabhat Mishra

A physics-informed neural network is presented for poroelastic problems with coupled flow and deformation processes. The governing equilibrium and mass balance equations are discussed and specific derivations for two-dimensional cases are…

计算工程、金融与科学 · 计算机科学 2020-10-30 Yared W. Bekele

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

机器学习 · 计算机科学 2017-07-06 Miguel Á. Carreira-Perpiñán

Consistency of the predictions with respect to the physical forward model is pivotal for reliably solving inverse problems. This consistency is mostly un-controlled in the current end-to-end deep learning methodologies proposed for the…

图像与视频处理 · 电气工程与系统科学 2020-07-07 Dongdong Chen , Mike E. Davies , Mohammad Golbabaee

Deep neural networks (DNNs) have been increasingly deployed on and integrated with edge devices, such as mobile phones, drones, robots and wearables. To run DNN inference directly on edge devices (a.k.a. edge inference) with a satisfactory…

机器学习 · 计算机科学 2020-09-18 Bingqian Lu , Jianyi Yang , Shaolei Ren

Fully connected deep neural networks are successfully applied to classification and function approximation problems. By minimizing the cost function, i.e., finding the proper weights and biases, models can be built for accurate predictions.…

机器学习 · 计算机科学 2024-07-25 Qingguang Guan

Rational and neural network based approximations are efficient tools in modern approximation. These approaches are able to produce accurate approximations to nonsmooth and non-Lipschitz functions, including multivariate domain functions. In…

最优化与控制 · 数学 2023-09-08 Vinesha Peiris , Reinier Diaz Millan , Nadezda Sukhorukova , Julien Ugon

Deep learning has received considerable empirical successes in recent years. However, while many ad hoc tricks have been discovered by practitioners, until recently, there has been a lack of theoretical understanding for tricks invented in…

机器学习 · 计算机科学 2020-12-29 Cong Fang , Hanze Dong , Tong Zhang

It is well understood that neural networks with carefully hand-picked weights provide powerful function approximation and that they can be successfully trained in over-parametrized regimes. Since over-parametrization ensures zero training…

机器学习 · 计算机科学 2024-05-21 G. Welper

Many learning-based approaches have difficulty scaling to unseen data, as the generality of its learned prior is limited to the scale and variations of the training samples. This holds particularly true with 3D learning tasks, given the…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Mingyue Yang , Yuxin Wen , Weikai Chen , Yongwei Chen , Kui Jia

The use of Deep Neural Network based systems in the real world is growing. They have achieved state-of-the-art performance on many image, speech and text datasets. They have been shown to be powerful systems that are capable of learning…

机器学习 · 计算机科学 2026-04-21 Alizishaan Anwar Hussein Khatri

To accelerate DNNs inference, low-rank approximation has been widely adopted because of its solid theoretical rationale and efficient implementations. Several previous works attempted to directly approximate a pre-trained model by low-rank…

计算机视觉与模式识别 · 计算机科学 2020-01-27 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Wenrui Dai , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

While Bayesian neural networks (BNNs) have drawn increasing attention, their posterior inference remains challenging, due to the high-dimensional and over-parameterized nature. To address this issue, several highly flexible and scalable…

机器学习 · 统计学 2019-05-10 Ziyu Wang , Tongzheng Ren , Jun Zhu , Bo Zhang

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

数值分析 · 数学 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Incorporating scientific knowledge into deep learning (DL) models for materials-based simulations can constrain the network's predictions to be within the boundaries of the material system. Altering loss functions or adding physics-based…

材料科学 · 物理学 2024-05-24 Ashley Lenau , Dennis M. Dimiduk , Stephen R. Niezgoda

Artificial and natural neural network models are a new toolkit which could be potentially have been used for clarifying of complex brain functions. To attend this goal, such models need to be neurobiologically realistic. However, although…

神经元与认知 · 定量生物学 2022-07-08 Arsenii Onuchin

Prediction accuracy and model explainability are the two most important objectives when developing machine learning algorithms to solve real-world problems. The neural networks are known to possess good prediction performance, but lack of…

机器学习 · 统计学 2019-09-04 Zebin Yang , Aijun Zhang , Agus Sudjianto

In this paper we describe a machine learning based framework for spacecraft swarm trajectory planning. In particular, we focus on coordinating motions of multi-spacecraft in formation flying through passive relative orbit(PRO) transfers.…

机器人学 · 计算机科学 2022-01-31 Alex Sabol , Kyongsik Yun , Muhammad Adil , Changrak Choi , Ramtin Madani

The increasing size of Deep Neural Networks (DNNs) poses a pressing need for model compression, particularly when employed on resource constrained devices. Concurrently, the susceptibility of DNNs to adversarial attacks presents another…

机器学习 · 计算机科学 2023-08-17 Brijesh Vora , Kartik Patwari , Syed Mahbub Hafiz , Zubair Shafiq , Chen-Nee Chuah