脳の統計物理と並列計算   Statistical models of brain and parallel computation

文字サイズ 

担当教員
熊澤 逸夫 
使用教室
木7-8(G221)  
単位数
講義:2  演習:0  実験:0
講義コード
88024
シラバス更新日
2008年10月1日
講義資料更新日
2008年10月1日
学期
後期

講義概要

脳の並列計算の原理を統計物理学的に理解しようとする試みを題材にしながら,脳の情報処理の仕組み,並列計算を解析・設計するための統計物理学的方法,確率的計算の原理を学ぶ。

Some attempts are introduced to analyze and understand principals behind brain function and massively parallel computation. Methods of statistical physics and probabilistic computation are lectured in addition to programming exercises to confirm the behavior of the parallel systems based on these methods.

講義の目的

This course provides basic knowledge on brain computation, its models for engineering application and statistical theories to understand their behavior. Topics include biological neural networks, artificial neural networks, statistical theories to understand highly parallel computation systems, and programming exercises of parallel computation systems. This course requires basic programming capabilities as theories are learned through computer simulation.

講義計画

01.Introduction of biological neural network (Neurons and Neural Networks).
02.Introduction of statistical mechanics (Magnetic Systems and Spin Glass Models).
03.How to understand the behavior of highly parallel system like a brain. (Analogy between Neural Networks and Spin Glass Models).
04.Models of neurons and computer simulation of their behavior.
05.Deterministic models of recurrent neural networks.
06.Computer simulation of deterministic models of recurrent neural networks.
07.Probabilistic models of recurrent neural networks.
08.Computer simulation of probabilistic models of recurrent neural networks.
09.Theoretical analysis of probabilistic models of recurrent neural networks.
10.Application of a recurrent neural network for solving simultaneous equations.
11.Application of a recurrent neural network for solving combinatorial problems. (Part 1)
12.Application of a recurrent neural network for solving combinatorial problems. (Part 2)

教科書・参考書等

Introduction to the Theory of Neural Computation, written by J. Hertz, A. Krogh and R.G. Palmer and published by Westview Press.

関連科目・履修の条件等

Knowledge on basic computer programming

成績評価

Assignments on computer simulation

担当教員の一言

This course would provide practical techniques both on theoretical analysis and programming

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