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This paper adapts look-ahead and backward finite difference formulas to compute future eigenvectors and eigenvalues of piecewise smooth time-varying symmetric matrix flows $A(t)$. It is based on the Zhang Neural Network (ZNN) model for…

数值分析 · 数学 2019-04-25 Frank Uhlig , Yunong Zhang

This paper wants to increase our understanding and computational know-how for time--varying matrix problems and Zhang Neural Networks (ZNNs). These neural networks were invented for time or single parameter--varying matrix problems around…

数值分析 · 数学 2023-12-05 Frank Uhlig

In this paper a new and different neural network, called Zhang Neural Network (ZNN) is appropriated from discrete time-varying matrix problems and applied to the angle parameter-varying matrix field of values (FoV) problem. This problem…

数值分析 · 数学 2019-04-25 Frank Uhlig

Spectral methods employing non-standard polynomial bases, such as M\"untz polynomials, have proven effective for accurately solving problems with solutions exhibiting low regularity, notably including sub-diffusion equations. However, due…

数值分析 · 数学 2025-05-22 Wei Zeng , Chuanju Xu , Yiming Lu , Qian Wang

The time-varying quadratic miniaturization (TVQM) problem, as a hotspot currently, urgently demands a more reliable and faster--solving model. To this end, a novel adaptive coefficient constructs framework is presented and realized to…

最优化与控制 · 数学 2022-12-01 Huiting He , Chengze Jiang , Yudong Zhang , Xiuchun Xiao , Zhiyuan Song

We study the Evolutionary Deep Neural Network (EDNN) framework for accelerating numerical solvers of time-dependent partial differential equations (PDEs). We introduce a Low-Rank Evolutionary Deep Neural Network (LR-EDNN), which constrains…

机器学习 · 统计学 2025-09-23 Jiahao Zhang , Shiheng Zhang , Guang Lin

Randomized neural network (RaNN) methods have been proposed for solving various partial differential equations (PDEs), demonstrating high accuracy and efficiency. However, initializing the fixed parameters remains challenging. Additionally,…

数值分析 · 数学 2025-11-25 Haoning Dang , Fei Wang , Song Jiang

Machine learning (ML) tools such as encoder-decoder convolutional neural networks (CNN) can represent incredibly complex nonlinear functions which map between combinations of images and scalars. For example, CNNs can be used to map…

机器学习 · 计算机科学 2021-10-27 Alexander Scheinker

Methods such as Layer Normalization (LN) and Batch Normalization (BN) have proven to be effective in improving the training of Recurrent Neural Networks (RNNs). However, existing methods normalize using only the instantaneous information at…

机器学习 · 计算机科学 2022-09-30 Cole Pospisil , Vasily Zadorozhnyy , Qiang Ye

This paper proposes a strictly predefined-time convergent and anti-noise fractional-order zeroing neural network (SPTC-AN-FOZNN) model, meticulously designed for addressing time-variant quadratic programming (TVQP) problems. This model…

系统与控制 · 电气工程与系统科学 2025-03-05 Yi Yang , Xiao Li , Xuchen Wang , Mei Liu , Junwei Yin , Weibing Li , Richard M. Voyles , Xin Ma

Convolutional networks (ConvNets) have become a popular approach to computer vision. It is important to accelerate ConvNet training, which is computationally costly. We propose a novel parallel algorithm based on decomposition into a set of…

神经与进化计算 · 计算机科学 2016-06-21 Aleksandar Zlateski , Kisuk Lee , H. Sebastian Seung

In this paper, we present MLEANN (Meta-Learning Evolutionary Artificial Neural Network), an automatic computational framework for the adaptive optimization of artificial neural networks wherein the neural network architecture, activation…

人工智能 · 计算机科学 2007-05-23 Ajith Abraham

Randomized neural networks (RaNNs), in which hidden layers remain fixed after random initialization, provide an efficient alternative for parameter optimization compared to fully parameterized networks. In this paper, RaNNs are integrated…

数值分析 · 数学 2024-12-30 Yong Shang , Alexander Heinlein , Siddhartha Mishra , Fei Wang

Motivated by the gap between theoretical optimal approximation rates of deep neural networks (DNNs) and the accuracy realized in practice, we seek to improve the training of DNNs. The adoption of an adaptive basis viewpoint of DNNs leads to…

机器学习 · 计算机科学 2019-12-11 Eric C. Cyr , Mamikon A. Gulian , Ravi G. Patel , Mauro Perego , Nathaniel A. Trask

In this paper, a kind of neural network with time-varying delays is proposed to solve the problems of quadratic programming. The delay term of the neural network changes with time t. The number of neurons in the neural network is n + h, so…

最优化与控制 · 数学 2021-07-15 Ling Zhang , Xiaoqi Sun

In Part I \cite{Zhao13TSPasync1}, we introduced a fairly general model for asynchronous events over adaptive networks including random topologies, random link failures, random data arrival times, and agents turning on and off randomly. We…

系统与控制 · 计算机科学 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

最优化与控制 · 数学 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

This paper develops a predefined-time convergent and noise-tolerant fractional-order zeroing neural network (PTC-NT-FOZNN) model, innovatively engineered to tackle time-variant quadratic programming (TVQP) challenges. The PTC-NT-FOZNN,…

机器人学 · 计算机科学 2024-12-31 Yi Yang , Xuchen Wang , Richard M. Voyles , Xin Ma

This work considers the trade-off between accuracy and test-time computational cost of deep neural networks (DNNs) via \emph{anytime} predictions from auxiliary predictions. Specifically, we optimize auxiliary losses jointly in an…

机器学习 · 计算机科学 2018-05-28 Hanzhang Hu , Debadeepta Dey , Martial Hebert , J. Andrew Bagnell

Recent advancements in recurrent neural network (RNN) research have demonstrated the superiority of utilizing multiscale structures in learning temporal representations of time series. Currently, most of multiscale RNNs use fixed scales,…

机器学习 · 计算机科学 2019-02-18 Hao Hu , Liqiang Wang , Guo-Jun Qi
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