Convergence Rate Analysis for Deep Ritz Method [PDF]
Communications in Computational Physics, 2021 Using deep neural networks to solve PDEs has attracted a lot of attentions recently. However, why the deep learning method works is falling far behind its empirical success. In this paper, we provide a rigorous numerical analysis on deep Ritz method (DRM)
Chenguang Duan +4 more
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On the Convergence of the Benjamini–Hochberg Procedure
Mathematics, 2021 The Benjamini–Hochberg procedure is one of the most used scientific methods up to date. It is widely used in the field of genetics and other areas where the problem of multiple comparison arises frequently. In this paper we show that under fairly general
Dean Palejev, Mladen Savov
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On stochastic accelerated gradient with convergence rate
Open Mathematics, 2022 This article studies the regression learning problem from given sample data by using stochastic approximation (SA) type algorithm, namely, the accelerated SA.
Zha Xingxing +2 more
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A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically) [PDF]
SIAM Journal on Numerical Analysis, 2018 This paper provides the first proof that Anderson acceleration (AA) improves the convergence rate of general fixed point iterations. AA has been used for decades to speed up nonlinear solvers in many applications, however a rigorous mathematical ...
Claire Evans +3 more
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Procedure for finding estimate of convergence rate
Lietuvos Matematikos Rinkinys, 2001 Here is presented one method for finding convergence rate estimate of probability function.
Robertas Vilkas, Algimantas Aksomaitis
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On the convergence rate of the Halpern-iteration
Optimization Letters, 2020 In this work, we give a tight estimate of the rate of convergence for the Halpern-iteration for approximating a fixed point of a nonexpansive mapping in a Hilbert space.
Felix Lieder
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A Topology Optimization Method for Reducing Communication Overhead in the Kalman Consensus Filter
Applied Sciences, 2021 Distributed estimation and tracking of interested objects over wireless sensor networks (WSNs) is a hot research topic. Since network topology possesses distinctive structural parameters and plays an important role for the performance of distributed ...
Lulu Lv +3 more
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A New Effective Narrowband Active Noise Control System for Accommodating Frequency Mismatch
Applied Sciences, 2023 Narrowband active noise control (NANC) has shown excellent performance in dealing with the low frequency periodic noise generated by rotating machines, such as fans, engines and power transformers.
Tiannan Yao +4 more
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Convergence Rates in Uniform Ergodicity by Hitting Times and $$L^2$$-Exponential Convergence Rates [PDF]
Journal of Theoretical Probability, 2022 Generally the convergence rate in exponential ergodicity $ $ is an upper bound for the convergence rate $ $ in uniform ergodicity for a Markov process, that is $ \geqslant $. In this paper, we prove that $ \geqslant \inf \{lambda,1/M_H\}$, where $M_H$ is a uniform bound on the moment of the hitting time to a "compact" set $H$.
Yong-Hua Mao, Tao Wang
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Complete consistency for the estimator of nonparametric regression model based on m-END errors
Open Mathematics, 2021 In this paper, we study the complete consistency for the estimator of nonparametric regression model based on m-END errors and obtain the convergence rates of the complete consistency under more general conditions.
Zhang Shui-Li, Hou Tiantian, Qu Cong
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