The Sparse Blume - Emery - Griffiths Model of Associative Memories

被引：0

作者：

Heusel, J. ^{[1
]}

Loewe, M. ^{[1
]}

机构：

[1] Univ Munster, Fachbereich Math & Informat, Einsteinstr 62, D-48149 Munster, Germany

来源：

MARKOV PROCESSES AND RELATED FIELDS | 2018年 / 24卷 / 05期

关键词：

Associative memory; storage capacity; sparse data; artificial intelligence; machine learning; exponential inequalities; negative association; STORAGE CAPACITY; NEURAL-NETWORKS; HOPFIELD MODEL; INFORMATION; RETRIEVAL; BOUNDS;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We analyze the Blume -Emery- Griffiths (BEG) associative memory with sparse patterns and at zero temperature. We give bounds on its storage capacity provided that we want the stored patterns to be fixed points of the retrieval dynamics. We compare our results to that of other models of sparse neural networks and show that the BEG model has a superior performance compared to them.

引用

页码：779 / 810

页数：32

共 50 条

[31] Bidirectional Associative Memories: Different Approaches
Elena Acevedo-Mosqueda, Maria
Yanez-Marquez, Cornelio
Antonio Acevedo-Mosqueda, Marco
ACM COMPUTING SURVEYS, 2013, 45 (02)
[32] Retrieval properties of bidirectional associative memories
Gandolfo, D
Laanait, L
JOURNAL OF STATISTICAL PHYSICS, 2001, 104 (5-6) : 1389 - 1396
[33] Algorithm and Architecture of Fully-Parallel Associative Memories Based on Sparse Clustered Networks
Jarollahi, Hooman
Onizawa, Naoya
Gripon, Vincent
Gross, Warren J.
JOURNAL OF SIGNAL PROCESSING SYSTEMS FOR SIGNAL IMAGE AND VIDEO TECHNOLOGY, 2014, 76 (03): : 235 - 247
[34] On a Model of Associative Memory with Huge Storage Capacity
Mete Demircigil
Judith Heusel
Matthias Löwe
Sven Upgang
Franck Vermet
Journal of Statistical Physics, 2017, 168 : 288 - 299
[35] Associative memory with a sparse encoding mechanism for storing correlated patterns
Hirahara, M
Oka, N
Kindo, T
NEURAL NETWORKS, 1997, 10 (09) : 1627 - 1636
[36] Exact Spike Timing Computational Model of Convolutional Associative Memories
Peric, Igor
Schneider, Felix
Price, Cameron H.
Ulbrich, Stefan
Roennau, Arne
Zoellner, Marius
Dillmann, Ruediger
2017 IEEE 16TH INTERNATIONAL CONFERENCE ON COGNITIVE INFORMATICS & COGNITIVE COMPUTING (ICCI*CC), 2017, : 182 - 190
[37] Information capacity of binary weights associative memories
Jagota, A
Narasimhan, G
Regan, KW
NEUROCOMPUTING, 1998, 19 (1-3) : 35 - 58
[38] On the Design of Nonlinear Neural Networks for Associative Memories
Xu Shundou (Department of Basic Courses
The Journal of China Universities of Posts and Telecommunications, 1997, (01) : 40 - 46
[39] Sparse Associative Memory
Hoffmann, Heiko
NEURAL COMPUTATION, 2019, 31 (05) : 998 - 1014
[40] Bipolar spectral associative memories
Spencer, RG
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2001, 12 (03): : 463 - 474

← 1 2 3 4 5 →