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Statistical mechanics of neural networks / Haiping Huang.
- Format:
- Book
- Author/Creator:
- Huang, Haiping, author.
- Language:
- English
- Subjects (All):
- Neural networks (Computer science)--Statistical methods.
- Neural networks (Computer science).
- Genre:
- Electronic books.
- Physical Description:
- 1 online resource (302 pages) : illustrations (some color)
- Place of Publication:
- Singapore : Springer, [2021]
- System Details:
- text file PDF
- Summary:
- This book highlights a comprehensive introduction to the fundamental statistical mechanics underneath the inner workings of neural networks. The book discusses in details important concepts and techniques including the cavity method, the mean-field theory, replica techniques, the Nishimori condition, variational methods, the dynamical mean-field theory, unsupervised learning, associative memory models, perceptron models, the chaos theory of recurrent neural networks, and eigen-spectrums of neural networks, walking new learners through the theories and must-have skillsets to understand and use neural networks. The book focuses on quantitative frameworks of neural network models where the underlying mechanisms can be precisely isolated by physics of mathematical beauty and theoretical predictions. It is a good reference for students, researchers, and practitioners in the area of neural networks.
- Contents:
- Introduction
- Spin glass models and cavity method
- Variational mean-eld theory and belief propagation
- Monte Carlo simulation methods
- High-temperature expansion
- Nishimori line
- Random energy model
- Statistical mechanical theory of Hopeld model
- Replica symmetry and replica symmetry breaking
- Statistical mechanics of restricted Boltzmann machine
- Simplest model of unsupervised learning with binary synapses
- Inherent-symmetry breaking in unsupervised learning
- Mean-eld theory of Ising Perceptron
- Mean-eld model of multi-layered Perceptron
- Mean-eld theory of dimension reduction
- Chaos theory of random recurrent neural networks
- Statistical mechanics of random matrices
- Perspectives.
- Notes:
- Includes bibliographical references.
- Description based on online resource; title from digital title page (viewed on January 25, 2022).
- Other Format:
- Print version: Huang, Haiping Statistical Mechanics of Neural Networks
- ISBN:
- 9789811675706
- 9811675708
- OCLC:
- 1291317829
- Access Restriction:
- Restricted for use by site license.
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