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The notion of an Evolutional Deep Neural Network (EDNN) is introduced for the solution of partial differential equations (PDE). The parameters of the network are trained to represent the initial state of the system only, and are…

计算物理 · 物理学 2021-10-13 Yifan Du , Tamer A. Zaki

We propose doubly nested network(DNNet) where all neurons represent their own sub-models that solve the same task. Every sub-model is nested both layer-wise and channel-wise. While nesting sub-models layer-wise is straight-forward with…

机器学习 · 计算机科学 2018-06-21 Jaehong Kim , Sungeun Hong , Yongseok Choi , Jiwon Kim

This paper presents a set of continuous-time distributed algorithms that solve unconstrained, separable, convex optimization problems over undirected networks with fixed topologies. The algorithms are developed using a Lyapunov function…

系统与控制 · 计算机科学 2011-09-27 Jie Lu , Choon Yik Tang

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

机器学习 · 计算机科学 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

Deep neural networks (DNNs) have achieved remarkable success across diverse domains, but their performance can be severely degraded by noisy or corrupted training data. Conventional noise mitigation methods often rely on explicit…

机器学习 · 计算机科学 2025-06-16 Deliang Jin , Gang Chen , Shuo Feng , Yufeng Ling , Haoran Zhu

Deep learning models have proven to be exceptionally useful in performing many machine learning tasks. However, for each new dataset, choosing an effective size and structure of the model can be a time-consuming process of trial and error.…

机器学习 · 计算机科学 2019-08-08 Roozbeh Yousefzadeh , Dianne P O'Leary

This paper gives a personal assessment of Epoch making advances in Matrix Computations from antiquity and with an eye towards tomorrow. We trace the development of number systems and elementary algebra, and the uses of Gaussian Elimination…

数值分析 · 数学 2020-08-06 Frank Uhlig

The recent success of Deep Neural Networks (DNNs) has revealed the significant capability of neural computing in many challenging applications. Although DNNs are derived from emulating biological neurons, there still exist doubts over…

计算机视觉与模式识别 · 计算机科学 2019-11-01 Richard Jiang , Danny Crookes

We develop algorithms that find and track the optimal solution trajectory of time-varying convex optimization problems which consist of local and network-related objectives. The algorithms are derived from the prediction-correction…

最优化与控制 · 数学 2016-11-08 Andrea Simonetto , Alec Koppel , Aryan Mokhtari , Geert Leus , Alejandro Ribeiro

A critically important, ubiquitous, and yet poorly understood ingredient in modern deep networks (DNs) is batch normalization (BN), which centers and normalizes the feature maps. To date, only limited progress has been made understanding…

机器学习 · 计算机科学 2022-09-30 Randall Balestriero , Richard G. Baraniuk

Despite the utility of neural networks (NNs) for astronomical time-series classification, the proliferation of learning architectures applied to diverse datasets has thus far hampered a direct intercomparison of different approaches. Here…

天体物理仪器与方法 · 物理学 2020-10-05 Sara Jamal , Joshua S. Bloom

Deep neural networks (DNNs) are state-of-the-art techniques for solving most computer vision problems. DNNs require billions of parameters and operations to achieve state-of-the-art results. This requirement makes DNNs extremely compute,…

计算机视觉与模式识别 · 计算机科学 2023-08-08 Ishmeet Kaur , Adwaita Janardhan Jadhav

Neural processes are a family of models which use neural networks to directly parametrise a map from data sets to predictions. Directly parametrising this map enables the use of expressive neural networks in small-data problems where neural…

机器学习 · 统计学 2024-08-20 Wessel P. Bruinsma

There is currently great interest in applying neural networks to prediction tasks in medicine. It is important for predictive models to be able to use survival data, where each patient has a known follow-up time and event/censoring…

机器学习 · 统计学 2020-02-12 Michael F. Gensheimer , Balasubramanian Narasimhan

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

神经与进化计算 · 计算机科学 2018-02-14 Dianhui Wang , Ming Li

A new penalty-free neural network method, PFNN-2, is presented for solving partial differential equations, which is a subsequent improvement of our previously proposed PFNN method [1]. PFNN-2 inherits all advantages of PFNN in handling the…

数值分析 · 数学 2022-05-03 Hailong Sheng , Chao Yang

More competent learning models are demanded for data processing due to increasingly greater amounts of data available in applications. Data that we encounter often have certain embedded sparsity structures. That is, if they are represented…

数值分析 · 数学 2022-07-28 Yuesheng Xu , Taishan Zeng

Deep neural networks (DNNs) are successful in many computer vision tasks. However, the most accurate DNNs require millions of parameters and operations, making them energy, computation and memory intensive. This impedes the deployment of…

计算机视觉与模式识别 · 计算机科学 2020-03-26 Abhinav Goel , Caleb Tung , Yung-Hsiang Lu , George K. Thiruvathukal

Convolutional Neural Networks (CNN) possess many positive qualities when it comes to spatial raster data. Translation invariance enables CNNs to detect features regardless of their position in the scene. However, in some domains, like…

机器学习 · 计算机科学 2020-07-13 Arnas Uselis , Mantas Lukoševičius , Lukas Stasytis

This work proposes the first strategy to make distributed training of neural networks resilient to computing errors, a problem that has remained unsolved despite being first posed in 1956 by von Neumann. He also speculated that the…

信息论 · 计算机科学 2019-03-05 Sanghamitra Dutta , Ziqian Bai , Tze Meng Low , Pulkit Grover
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