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23rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)

作者： Sever, Emrah Dikmen, Fatih Hatipoglu, M. Enes Tuchkin, Yury A. Gebze Tech Univ Dept Elect Engn Kocaeli Turkey

ISBN: (纸本)9781538661161

This paper explains the construction of a numerically stable algorithm for resonance frequency analysis of system of nested dielectric, metamaterial, impedance and perfectly conductive circular cylinders. The method is based on analytic regularization method. However, since the spectral problem is under consideration, contrary to the formerly suggested algorithms for circular cylinders, here the two-side regularizer are specified from the asymptotic analysis which do not destroy the resonance frequencies. Numerical examples demonstrate the numerical efficiency of our algorithm.

关键词： analytic regularization method resonance frequency stable algorithm circular cylinders

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Distributed stable Multisource Global Broadcast for SINR-Based Wireless Multihop Networks

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IEEE-ACM TRANSACTIONS ON NETWORKING 2023年第2期31卷 620-633页

作者： Tian, Xiang Zhang, Baoxian Li, Cheng Univ Chinese Acad Sci Res Ctr Ubiquitous Sensor Networks Beijing 100049 Peoples R China Qilu Univ Technol Sch Comp Sci & Technol Shandong Acad Sci Jinan 250353 Shandong Peoples R China Natl Supercomp Ctr Jinan Shandong Comp Sci Ctr Jinan 250014 Shandong Peoples R China Mem Univ Fac Engn & Appl Sci St John NF A1B 3X5 Canada

Multi-source global broadcast is a fundamental problem in multi-hop wireless networks. The Static Multi-source Global Broadcast problem (SMGB), which considers static packet injection at all source nodes, has been extensively studied in recent years. However, packets are more likely to be continuously injected over time in realistic multi-hop wireless networks. In this paper, we focus on studying the Dynamic Multi-source Global Broadcast problem (DMGB), in which packets are continuously injected to k (k >= 2) source nodes in the network according to a widely-used dynamic packet injection model and the objective is to disseminate each injected packet across the whole network quickly. We solve this DMGB problem under the Signal-to-Interference-plus-Noise-Ratio (SINR) interference model. Specifically, we first present a distributed randomized algorithm for solving the SMGB problem. We then iterate this SMGB algorithm repeatedly to construct a distributed DMGB algorithm. We prove the proposed DMGB algorithm is stable, i.e., the expected number of packets in each node's message queue is bounded at any time and further the expected global broadcast latency for each injected packet is bounded. Simulation results validate the effectiveness of the proposed DMGB algorithm.

关键词： Dynamic multi-source global broadcast stable algorithm SINR distributed algorithm multi-hop wireless networks

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stable convolutional neural network for economy applications

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ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE 2024年 132卷

作者： Rubio, Jose de Jesus Garcia, Donaldo Rosas, Francisco Javier Hernandez, Mario Alberto Pacheco, Jaime Zacarias, Alejandro Inst Politecn Nacl Esime Azcapotzalco Secc Estudios Posgrad Invest Ave Granjas 682Col St Catarina Mexico City 02250 Mexico Inst Politecn Nacl Ctr Invest Comp Ave Juan Dios BatizCol San Pedro Zacatenco Mexico City 07738 Mexico

A convolutional neural network does not require to be stable when it is used for economy applications being related with the offline learning. Nevertheless, a convolutional neural network requires to be stable when it is used for economy applications being related with the online learning. Therefore, it would be interesting to ensure the stability of a convolutional neural network for economy applications being related with the online learning. In this investigation, a stable algorithm considering a time varying learning rate is proposed to adapt the weights of a stable convolutional neural network. The stable algorithm considering a time varying learning rate is used to improve the learning and to ensure the stability and robustness of the stable convolutional neural network, where the time varying learning rate will obtain big steps when the minimum of the cost function is far, and the time varying learning rate will obtain small steps when the minimum of the cost function is near. The stable convolutional neural network is compared with the principal component analysis neural network, non -negative matrix factorization neural network, and convolutional neural network for economy applications being related with the online learning considering the electrical energy consumption modeling and hybrid chiller modeling.

关键词： Convolutional neural network stable algorithm Learning rate Economy applications Electrical energy consumption Hybrid chiller

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The methods of dynamical reconstruction of an input in a system of ordinary differential equations

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JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 2021年第1期29卷 125-156页

作者： Maksimov, Vyacheslav, I Krasovskii Inst Math & Mech UB RAS Dept Differential Equat S Kovalevskaya Str 16 Ekaterinburg 620108 Russia

In the paper, for systems described by ordinary differential equations a review of algorithms of dynamical input reconstruction by results of inaccurate observations of its solutions is given. The problem under discussion is referred to the class of dynamical inverse problems. The proposed algorithms are stable with respect to informational noises and computational errors. They are based on the combination of methods of the theory of ill-posed problems and the theory of feedback control. The essence of the methodology underlying the algorithms suggested in the paper consists in the representation of a reconstruction algorithm in the form of a feedback control algorithm for a certain artificial dynamical system, a model;such an algorithm, whose output is the realization of the control in the model, is dynamical by its definition.

关键词： Dynamical inverse problem feedback stable algorithm

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On one algorithm for reconstruction of an disturbance in a linear system of ordinary differential equations

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ARCHIVES OF CONTROL SCIENCES 2020年第4期30卷 757-773页

作者： Blizorukova, M. Maksimov, V Russian Acad Sci Krasovskii Inst Math & Mech Ural Branch Ekaterinburg 620990 Russia

The problem of reconstructing an unknown disturbance under measuring a part of phase coordinates of a system of linear differential equations is considered. Solving algorithm is designed. The algorithm is based on the combination of ideas from the theory of dynamical inversion and the theory of guaranteed control. The algorithm consists of two blocks: the block of dynamical reconstruction of unmeasured coordinates and the block of dynamical reconstruction of an input.

关键词： dynamical reconstruction guaranteed control stable algorithm

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Inverse Thermoelastic Analysis of a Cylindrical Tribo-Couple

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MATERIALS 2021年第10期14卷 2657-2657页

作者： Kushnir, Roman Yasinskyy, Anatoliy Tokovyy, Yuriy Hart, Eteri Natl Acad Sci Ukraine Pidstryhach Inst Appl Problems Mech & Math UA-79060 Lvov Ukraine Natl Univ Lviv Polytech Inst Appl Math & Fundamental Sci Dept Appl Math UA-79013 Lvov Ukraine Oles Honchar Dnipro Natl Univ Dept Theoret & Comp Mech UA-49010 Dnipro Ukraine

Within the framework of the one-dimensional model for a tribo-couple consisting of two elastic cylinders accounting for the frictional heat generation on the interface due to the roughness of the contacting dissimilar materials, a problem on the identification of the unknown temperature on one of the limiting surfaces of either inner or outer cylindrical layers is formulated and reduced to an inverse thermoelasticity problem via the use of the circumferential strain given on the other surface. To solve the latter problem, a semi-analytical algorithm is suggested, and its stability with respect to the small errors in the input data is analyzed. The efficiency of the proposed solution algorithm is validated numerically by comparing its results with the solution of a corresponding direct problem. The temperature and thermal stresses in the tribo-couple are analyzed.

关键词： tribo-couple cylindrical layers frictional heating unknown thermal loading inverse thermoelasticity problem Volterra integral equation stable algorithm

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On dynamical reconstruction of boundary and distributed inputs in a Schlogl equation

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JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 2019年第6期27卷 877-889页

作者： Maksimov, Vyacheslav, I UB RAS Krasovskii Inst Math & Mech 16 S Kovalevskoi Str Ekaterinburg 620990 Russia Ural Fed Univ 19 Mira Str Ekaterinburg 620002 Russia

The problem of reconstructing an unknown input under measuring a phase coordinates of a Schlogl equation is considered. We propose a solving algorithm that is stable to perturbations and is based on the combination of ideas from the theory of dynamical inversion and the theory of guaranteed control. The convergence rate of the algorithm is obtained.

关键词： Dynamical reconstruction guaranteed control stable algorithm

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On dynamical reconstruction of an input in a linear system under measuring a part of coordinates

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JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 2018年第3期26卷 395-410页

作者： Maksimov, Vyacheslav I. Krasovskii Inst Math & Mech UB RAS S Kovalevskaya Str 16 Ekaterinburg 620990 Russia Ural Fed Univ Mira Str 19 Ekaterinburg 620002 Russia

The problem of reconstructing an unknown input under measuring a part of phase coordinates of a system of ordinary differential equations is considered. We propose a solving algorithm that is stable to perturbations and is based on the combination of ideas from the theory of dynamical inversion and the theory of guaranteed control. The algorithm consists of two blocks: the block of dynamical reconstruction of unmeasured coordinates and the block of dynamical reconstruction of an input.

关键词： Dynamical reconstruction guaranteed control stable algorithm

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Stabilization and optimization of PLUS factorization and its application in image coding

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JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION 2011年第1期22卷 9-22页

作者： Yang, Lei Hao, Pengwei Wu, Dapeng Univ Florida Dept Elect & Comp Engn Gainesville FL 32608 USA Peking Univ Dept Machine Intelligence Beijing 100871 Peoples R China Queen Mary Univ London Dept Comp Sci London E1 4NS England

A recently developed PLUS factorization holds great promise in image coding due to its simplicity and integer reversibility. However, existing PLUS factorizations did not consider stability and optimality. To address these problems, we propose methodologies to design stable and optimal PLUS factorization algorithms. Firstly, we propose three stable PLUS factorization algorithms, prove the stability theorem under no perturbation and analyze stability under perturbation. Furthermore, we obtain a closed-form formula for transform error, and use the formula to design an algorithm for optimal PLUS factorization. Then, we apply the PLUS factorization to image coding. The integer DCTs implemented with the optimal PLUS factorizations found by our algorithms outperform the integer DCT with expansion factors in terms of entropy. The optimal PLUS factorizations are superior to the lifting factorization in JPEG-XR. The experimental results agree with analytical results of PLUS factorization, and show superior performance of our algorithms in image coding. (C) 2010 Elsevier Inc. All rights reserved.

关键词： PLUS factorization stable algorithm Optimization Transform coding Image compression Integer reversible transform Lapped Transform Discrete cosine transform Lifting factorization

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Six Degree-of-Freedom Haptic Rendering for Biomolecular Docking

Six Degree-of-Freedom Haptic Rendering for Biomolecular Dock...

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International Conference on Cyberworlds (CW)

作者： Hou, Xiyuan Sourina, Olga Nanyang Technol Univ Singapore Singapore

ISBN: (纸本)9783642223358;9783642223365

Haptic device enable the user to manipulate the molecules and feel interactions during the docking process in virtual environment on the computer. Implementation of force-torque feedback allows the user to have more realistic experience during force simulation and find the optimum docking positions faster. In this paper, we propose a haptic rendering algorithm for biomolecular docking with force-torque feedback. It enables the user to experience six degree-of-freedom (DOF) haptic manipulation in molecular docking process. The linear smoothing method was proposed to improve stability of the haptic rendering during molecular docking. Collaborative docking with two devices was implemented.

关键词： haptic rendering biomolecular docking torque feedback stable algorithm collaboration

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