Mean field theory for sigmoid belief networks

被引：202

作者：

Saul, LK

Jaakkola, T

Jordan, MI

机构：

[1] Ctr. for Biol./Compl. Learning, Massachusetts Inst. of Technology, Cambridge, MA 02139, 79 Amherst Street

来源：

JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH | 1996年 / 4卷

关键词：

D O I：

10.1613/jair.251

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We develop a mean field theory for sigmoid belief networks based on ideas from statistical mechanics. Our mean field theory provides a tractable approximation to the true probability distribution in these networks; it also yields a lower bound on the likelihood of evidence. We demonstrate the utility of this framework on a benchmark problem in statistical pattern recognition-the classification of handwritten digits.

引用

页码：61 / 76

页数：16

共 50 条

[41] Mean-field theory of graph neural networks in graph partitioning
Kawamoto, Tatsuro
Tsubaki, Masashi
Obuchi, Tomoyuki
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2019, 2019 (12):
[42] Mean-field theory for scale-free random networks
Barabási, AL
Albert, R
Jeong, H
PHYSICA A, 1999, 272 (1-2): : 173 - 187
[43] Belief and Opinion Evolution in Social Networks Based on a Multi-Population Mean Field Game Approach
Banez, Reginald A.
Ciao, Hao
Li, Lixin
Yang, Chungang
Han, Zhu
Poor, H. Vincent
ICC 2020 - 2020 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS (ICC), 2020,
[44] An Improved Heterogeneous Mean-Field Theory for the Ising Model on Complex Networks
黄凤
陈含爽
CommunicationsinTheoreticalPhysics, 2019, 71 (12) : 1475 - 1479
[45] A note on mean-field theory for scale-free random networks
Gu, Jin-li
Bai, Yan-qin
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 (3-4): : 523 - 531
[46] An Improved Heterogeneous Mean-Field Theory for the Ising Model on Complex Networks
Huang, Feng
Chen, Han-Shuang
COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (12) : 1475 - 1479
[47] Generalized mean-field theory for Ising spins in small world networks
Meilikhov, EZ
Farzetdinova, RM
PHYSICAL REVIEW E, 2005, 71 (04):
[48] Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks
Metz, Fernando L.
PHYSICAL REVIEW LETTERS, 2025, 134 (03)
[49] OPTIMAL ATTACK AND DEFENCE OF LARGE SCALE NETWORKS USING MEAN FIELD THEORY
del Val, Jorge
Zazo, Santiago
Valcarcel Macua, Sergio
Zazo, Javier
Parras, Juan
2016 24TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO), 2016, : 973 - 977
[50] A MEAN-FIELD APPROACH OF THE THEORY OF TOPOLOGICAL CONSTRAINTS IN POLYMER MELTS AND NETWORKS
HEINRICH, G
STRAUBE, E
MAKROMOLEKULARE CHEMIE-MACROMOLECULAR SYMPOSIA, 1989, 30 : 223 - 235

← 1 2 3 4 5 →