The Academic Stories of the Economists

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作   者:王则柯主编

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ISBN:9787800734656

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简介

  在中国经济学界,王则柯教是少数能用汉畅的语言或精彩的故事,将经济学的高深和精妙通俗化,并传达给大众的大家之一,他有着“不写作就不会思考”的习惯,几十年来笔耕不缀,为读者奉献了许多上佳作品本书所记录的,是位世界著名经济学家在经济学领域中探索耕耘的心路历程;本书所传达的,是他们为经济学思想的演进和发展所做出的卓越贡献;本书所推崇的,是他们热爱生活、坚持真理、独树一帜的崇高风范和人格。   经济学的著作汗牛充栋,介绍经济学家的书籍也数以百计,许多著作因然博大精深,却难免叫人高山仰止。在许多读者的印象中,经济学家似乎都是天马行空的奇才,我们努力把他们“还原”回来,并着力发掘这些经济学家求学、步入经济学殿堂,以及在科学研究和探索上的贡折历程。不放过那些看似偶然的契机是我们的追求。也许有一天,你也会走上这样的道路。在《经济学家成长的故事》出版后,应广大读者要求,本书继续以讲故事的方式和通俗流畅的笔触,向经济管理专业师生和对经济学和经济学家感兴趣的读者,介绍另一批有特色的经济学家,其中,大多数仍是未曾获得诺奖桂冠学者的介绍已经委很热,我们不想再凑热闹;二是书中所介绍的经济学家有可能成为未来的诺奖获得者,在《经济学家成长的故事》刚出版不久,斯蒂格利茨的获奖便是明证。

目录

preface

1、introduction

objectives

history

applications

biological inspiration

further reading

2、neuron model and network architectures

objectives

theory and examples

notation

neuron model

single-input neuron

transfer functions

multiple-input neuron

network architectures

a layer of neurons

multiple layers of neurons

recrrent networks

summary of results

.solved problems

epilogue

exercises

3、an illustrative example

objectives

theory and examples

problem statement

perceptron

two-input case

pattern recognition example

hamming network

feedforward layer

recurrent layer

hopfield network

epilogue

exercise

4、perceptron learning rule

objectives

theory and examples

learning rules

perceptron architecture

single-neuron perceptron

multiple-neuron perceptron

perceptron learning rule

test problem

constructing learning rules

unified learning rule

training multiple-neuron perceptrons

proof of convergence

notation

proof

limitations

summary of results

solved problems

epilogue

further reading

exercises

5、signal and weight vector spaces

objectives

theory and examples

linear vector spaces

linear independence

spanning a space

inner product

norm

orthogonality

gram-schmidt orthogonalization

vector expansions

reciprocal basis vectors

summary of results

solved problems

epilogue

further reading

exercises

6、linear transformations for neural networks

objectives

theory and examples

linear transformations

matrix representations

change of basis

eigenvalues and eigenvectors

diagonalization

summary of results

solved problems

epilogue

further reading

exercises

7、supervised hebbian learning

objectives

theory and examples

linear associator

the hebb rule

performance analysis

pseudoinverse rule

application

variations of hebbian learning

summary of results

solved problems

epilogue

further reading

exercises

8、performance surfaces and optimum points

objectives

theory and examples

taylor series

vector case

directional derivatives

minima

necessary conditions for optimality

first-order conditions

second-order conditions

quadratic functions

eigensystem of the hessian

summary of results

solved problems

epilogue

further reading

exercises

9、performance optimization

objectives

theory and examples

steepest descent

stable learning rates

minimizing along a line

newton's method

conjugate gradient

summary of results

solved problems

epilogue

further reading

exercises

10、widrow-hoff learning

objectives

theory and examples

adaline network

single adaline

mean square error

lms algorithm

analysis of convergence

adaptive filtering

adaptive noise cancellation

echo cancellation

summary of results

solved problems

epilogue

further reading

exercises

11、backpropagation

objectives

theory and examples

multilayer perceptrons

pattern classification '

function approximation

the backpropagation algorithm

performance index

chain rule

backpropagating the sensitivities

summary '

example

using backpropagation

choice of network architecture

convergence

generalization

summary of results

solved problems

epilogue

further reading

exercises

12、variations on backpropagation

objectives

theory and examples

drawbacks of backpropagation

performance surface example

convergence example

heuristic modifications of backpropagation

momentum

variable learning rate

numerical optimization techniques

conjugate gradient

levenberg-marquardt algorithm

summary of results

solved problems

epilogue

further reading

exercises

13、assoeiative learning

objectives

theory and examples

simple associative network

unsupervised hebb rule

hebb rule with decay

simple recognition network

instar rule

kohonen rule

simple recall network

outstar rule

summary of results

solved problems .

epilogue

further reading

exercises

14、competitive networks

objectives

theory and examples

hamming network

layer 1

layer 2

competitive layer

competitive learning

problems with competitive layers

competitive layers in biology

self-organizing feature maps

improving feature maps

learning vector quantization

lvq learning

improving lvq networks (lvq2)

summary of results

solved problems

epilogue

further reading

exercises

15、grossberg network

objectives

theory and examples

biological motivation: vision

illusions

vision normalization

basic nonlinear model

two-layer competitive network

layer 1

layer 2

choice of transfer function

learning law

relation to kohonen law

summary of results

solved problems

epilogue

further reading

exercises

16、adaptive resonance theory

objectives

theory and examples

overview of adaptive resonance

layer 1

steady state analysis '

layer 2

orienting subsystem

learning law: li-l2

subset/superset dilemma

learning law

learning law: l2-li

arti algorithm summary

initialization

algorithm

other art architectures

summary of results

solved problems

epilogue

further reading

exercises

17、stability

objectives

theory and examples

recurrent networks

stability concepts

definitions

lyapunov stability theorem

pendulum example

lasalle's invariance theorem

definitions

theorem

example

comments

summary of results

solved problems

epilogue

further reading

exercises

18、hopfield network

objectives

theory and examples

hopfield model

lyapunov function

invariant sets

example

hopfield attractors

effect of gain

hopfield design

content-addressable memory

hebb rule

lyapunov surface

summary of results

solved problems

epilogue

further reading

exercises

19、epilogue

objectives

theory and examples

feedforward and related networks

competitive networks

dynamic associative memory networks

classical foundations of neural networks

books and journals

epilogue

further reading


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