CONVERGENCE_ANALYSIS

作品数：265被引量：457H指数：11
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Deterministic Convergence Analysis for GRU Networks via Smoothing Regularization
《Computers, Materials & Continua》2025年第5期1855-1879,共25页Qian Zhu Qian Kang Tao Xu Dengxiu Yu Zhen Wang 
supported by the National Science Fund for Distinguished Young Scholarship(No.62025602);National Natural Science Foundation of China(Nos.U22B2036,11931015);the Fok Ying-Tong Education Foundation China(No.171105);the Fundamental Research Funds for the Central Universities(No.G2024WD0151);in part by the Tencent Foundation and XPLORER PRIZE.
In this study,we present a deterministic convergence analysis of Gated Recurrent Unit(GRU)networks enhanced by a smoothing L_(1)regularization technique.While GRU architectures effectively mitigate gradient vanishing/...
关键词：Gated recurrent unit REGULARIZATION convergence 
A MIXED FINITE ELEMENT AND UPWIND MIXED FINITE ELEMENT MULTI-STEP METHOD FOR THE THREE-DIMENSIONAL POSITIVE SEMI-DEFINITE DARCY-FORCHHEIMER MISCIBLE DISPLACEMENT PROBLEM
《Acta Mathematica Scientia》2025年第2期715-736,共22页Yirang YUAN Changfeng LI Huailing SONG Tongjun SUN 
supported by the Natural Science Foundation of Shandong Province(ZR2021MA019);the National Natural Science Foundation of China(11871312)。
In this paper,a composite numerical scheme is proposed to solve the threedimensional Darcy-Forchheimer miscible displacement problem with positive semi-definite assumptions.A mixed finite element is used for the fow e...
关键词：Darcy-Forchheimer fow three-dimensional positive semi-definite problem upwind mixed finite element multi-step method conservation of mass convergence analysis 
Polar Decomposition-based Algorithms on the Product of Stiefel Manifolds with Applications in Tensor Approximation
《Journal of the Operations Research Society of China》2024年第4期874-920,共47页Jian-Ze Li Shu-Zhong Zhang 
supported by the National Natural Science Foundation of China(No.11601371);the Guangdong Basic and Applied Basic Research Foundation(No.2021A1515010232).
In this paper,we propose a general algorithmic framework to solve a class of optimization problems on the product of complex Stiefel manifolds based on the matrix polar decomposition.We establish the weak convergence,...
关键词：Tensor approximation Manifold optimization Polar decomposition Convergence analysis Łojasiewicz gradient inequality Morse–Bott property 
Discrete Approximation and Convergence Analysis for a Class of Decision-Dependent Two-Stage Stochastic Linear Programs
《Journal of the Operations Research Society of China》2024年第3期649-679,共31页Jie Jiang Zhi-Ping Chen 
Customary stochastic programming with recourse assumes that the probability distribution of random parameters is independent of decision variables.Recent studies demonstrated that stochastic programming models with en...
关键词：Stochastic programming Decision-dependence Discrete approximation Stability Convergence rate 
The AOR-Base Splitting Modified Fixed Point Iteration for Solving Absolute Value Equations
《Communications in Mathematical Research》2024年第3期261-274,共14页Changfeng Ma Jing Kang 
supported by the National Natural Science Foundation of China (Grant 12371378);by the Natural Science Foundation of Fujian Province (Grant 2023J011127).
Recently,Yu et al.presented a modified fixed point iterative(MFPI)method for solving large sparse absolute value equation(AVE).In this paper,we consider using accelerated overrelaxation(AOR)splitting to develop the mo...
关键词：Absolute value equation modified point iteration convergence analysis numerical experiment 
Convergence Analysis of Kernel Learning FBSDE Filter
《Communications in Mathematical Research》2024年第3期313-342,共30页Yunzheng Lyu Feng Bao 
supported by the U.S.National Science Foundation through Project DMS-2142672;by the U.S.Department of Energy,Office of Science,Office of Advanced Scientific Computing Research,Applied Mathematics Program under Grant DE-SC0022297.
Kernel learning forward backward stochastic differential equations(FBSDE)filter is an iterative and adaptive meshfree approach to solve the non-linear filtering problem.It builds from forward backward SDE for Fokker-P...
关键词：Forward backward stochastic differential equations kernel density estima-tion nonlinear filtering problems convergence analysis. 
Convergence analysis for complementary-label learning with kernel ridge regression
《Applied Mathematics(A Journal of Chinese Universities)》2024年第3期533-544,共12页NIE Wei-lin WANG Cheng XIE Zhong-hua 
Supported by the Indigenous Innovation’s Capability Development Program of Huizhou University(HZU202003,HZU202020);Natural Science Foundation of Guangdong Province(2022A1515011463);the Project of Educational Commission of Guangdong Province(2023ZDZX1025);National Natural Science Foundation of China(12271473);Guangdong Province’s 2023 Education Science Planning Project(Higher Education Special Project)(2023GXJK505)。
Complementary-label learning(CLL)aims at finding a classifier via samples with complementary labels.Such data is considered to contain less information than ordinary-label samples.The transition matrix between the tru...
关键词：multiple complementary-label learning partial label learning error analysis reproducing kernel Hilbert spaces 
CONVERGENCE ANALYSIS OF NONCONFORMING QUADRILATERAL FINITE ELEMENT METHODS FOR NONLINEAR COUPLED SCHRODINGER-HELMHOLTZ EQUATIONS
《Journal of Computational Mathematics》2024年第4期979-998,共20页Dongyang Shi Houchao Zhang 
supported by the National Natural Science Foundation of China(Grant No.12071443);by the Key Scientific Research Projects of Henan Colleges and Universities(Grant No.20B110013).
The focus of this paper is on two novel linearized Crank-Nicolson schemes with nonconforming quadrilateral finite element methods(FEMs)for the nonlinear coupled Schrodinger-Helmholtz equations.Optimal L^(2) and H^(1) ...
关键词：Schrodinger-Helmholtz equations Nonconforming FEMs Linearized Crank-Nicolson scheme Optimal error estimates 
Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives被引量：1
《International Journal of Biomathematics》2024年第4期151-194,共44页Lalchand Verma Ramakanta Mehert 
This work considers a generalized fuzzy fractional smoking model with Caputo gHtypes fractional derivatives upon considering the case of uncertainty quantification.The disease-free equilibrium point and stability of t...
关键词：Caputo fractional derivative triangular fuzzy number smoking model q-HAShTM convergence analysis 
Mathematical Model,Numerical Simulation and Convergence Analysis of a Semiconductor Device Problem with Heat and Magnetic Influences
《Acta Mathematicae Applicatae Sinica》2024年第2期302-319,共18页Chang-feng LI Yi-rang YUAN Huai-ling SONG 
supported by the National Natural Science Foundation of China(Grant No.11871312);Natural Science Foundation of Shandong Province(Grant No.ZR2021MA019).
In this paper,the authors discuss a three-dimensional problem of the semiconductor device type involved its mathematical description,numerical simulation and theoretical analysis.Two important factors,heat and magneti...
关键词：three-dimensional conductor device problem with heat and magnetic influences upwind blockcentered differences elemental conservation of mass numerical analysis 
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