An Application of the Lurie Problem in Hopfield Neural Networks

被引：5

作者：

Pinheiro, Rafael Fernandes ^{[1
]}

Colon, Diego ^{[1
]}

机构：

[1] Univ Sao Paulo, Automat & Control Lab, Telecom & Control Dept, Ave Prof Luciano Gualberto,Travessa 03,158, BR-05508900 Sao Paulo, SP, Brazil

来源：

PROCEEDINGS OF DINAME 2017 | 2019年

关键词：

Lurie problem; Hopfield neural network; Absolute stability; ABSOLUTE STABILITY;

D O I：

10.1007/978-3-319-91217-2_26

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The goal of this work is to present applications of recent results in the Lurie problem, also known as the absolute stability problem, to Hopfield neural networks, aiming its stability analysis. We show how to obtain the mathematical model of a neural network, in terms of differential equations, and present simulations for some examples. We give special attention to networks with multiple inputs and outputs, and point future directions of research to be followed.

引用

页码：371 / 382

页数：12

共 50 条

[21] The inverse eigenvalue problem of structured matrices from the design of Hopfield neural networks
Zhu, Lei
Xu, Wei-wei
APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 1 - 7
[22] Solving the Shortest Path Routing Problem Using Noisy Hopfield Neural Networks
Liu, Wen
Wang, Lipo
2009 WRI INTERNATIONAL CONFERENCE ON COMMUNICATIONS AND MOBILE COMPUTING: CMC 2009, VOL 2, 2009, : 299 - 302
[23] Incorporating Hopfield Neural Networks into Ant Colony System for Traveling Salesman Problem
Weng, Yu-Lin
Lee, Chou-Yuan
Lee, Zne-Jung
NEW ADVANCES IN INTELLIGENT DECISION TECHNOLOGIES, 2009, 199 : 287 - 294
[24] Global stability of Hopfield neural networks
Li, YJ
ICSP '98: 1998 FOURTH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, PROCEEDINGS, VOLS I AND II, 1998, : 1299 - 1300
[25] PARALLEL EVALUATION OF HOPFIELD NEURAL NETWORKS
Eiche, Antoine
Chillet, Daniel
Pillement, Sebastien
Sentieys, Olivier
NCTA 2011: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NEURAL COMPUTATION THEORY AND APPLICATIONS, 2011, : 248 - 253
[26] On the Asymptotic Stability of Hopfield Neural Networks
Journal of Systems Science and Systems Engineering, 1997, (04) : 6 - 12
[27] Diagonal rotor Hopfield neural networks
Kobayashi, Masaki
NEUROCOMPUTING, 2020, 415 : 40 - 47
[28] ON THE HYSTERESIS AND ROBUSTNESS OF HOPFIELD NEURAL NETWORKS
SCHONFELD, D
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (11): : 745 - 748
[29] Infinite dimensional Hopfield neural networks
Leblebicioglu, K
Halici, UF
Çelebi, O
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (09) : 5807 - 5813
[30] Symmetric quaternionic Hopfield neural networks
Kobayashi, Masaki
NEUROCOMPUTING, 2017, 240 : 110 - 114

← 1 2 3 4 5 →