Shun-ichi Amari: search on Z-Library

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1

Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence

Shun-ichi Amari

Journal:

Theory of Computing Systems

Year:

1987

Language:

english

File:

PDF, 1.60 MB

english, 1987

2

Backpropagation and stochastic gradient descent method

Shun-ichi Amari

Journal:

Year:

1993

Language:

english

File:

PDF, 597 KB

english, 1993

3

Information geometry in optimization, machine learning and statistical inference

Shun-ichi Amari

Journal:

Frontiers of Electrical and Electronic Engineering

Year:

2010

Language:

english

File:

PDF, 381 KB

english, 2010

4

Stability Analysis of Learning Algorithms for Blind Source Separation

Shun-ichi Amari, Tian-ping Chen, Andrzej Cichocki

Journal:

Neural Networks

Year:

1997

Language:

english

File:

PDF, 226 KB

english, 1997

5

Computational Neuroscience: Mathematical and Statistical Perspectives

Kass, Robert E., Amari, Shun-Ichi, Arai, Kensuke, Brown, Emery N., Diekman, Casey O., Diesmann, Markus, Doiron, Brent, Eden, Uri T., Fairhall, Adrienne L., Fiddyment, Grant M., Fukai, Tomoki, Grün, So

Journal:

Annual Review of Statistics and Its Application

Year:

2018

Language:

english

File:

PDF, 1.35 MB

english, 2018

6

Natural Gradient Works Efficiently in Learning

Amari, Shun-ichi

Journal:

Neural Computation

Year:

1998

Language:

english

File:

PDF, 155 KB

english, 1998

7

Differential Geometry of Curved Exponential Families-Curvatures and Information Loss

Shun-Ichi Amari

Journal:

The Annals of Statistics

Year:

1982

Language:

english

File:

PDF, 2.22 MB

english, 1982

8

Unified framework for information integration based on information geometry

Oizumi, Masafumi, Tsuchiya, Naotsugu, Amari, Shun-ichi

Journal:

Proceedings of the National Academy of Sciences

Year:

2016

Language:

english

File:

PDF, 554 KB

english, 2016

9

Statistical inference: learning in artificial neural networks

Howard Hua Yang, Noboru Murata, Shun-ichi Amari

Journal:

Trends in Cognitive Sciences

Year:

1998

Language:

english

File:

PDF, 238 KB

english, 1998

10

Stochastic Reasoning, Free Energy, and Information Geometry

Ikeda, Shiro, Tanaka, Toshiyuki, Amari, Shun-ichi

Journal:

Neural Computation

Year:

2004

Language:

english

File:

PDF, 207 KB

english, 2004

11

Information geometry of the EM and em algorithms for neural networks

Shun-ichi Amari

Journal:

Neural Networks

Year:

1995

Language:

english

File:

PDF, 2.30 MB

english, 1995

12

[Lecture Notes in Biomathematics] Competition and Cooperation in Neural Nets Volume 45 || Neocognitron: A Self-Organizing Neural Network Model for a Mechanism of Visual Pattern Recognition

Amari, Shun-ichi, Arbib, Michael A.

Year:

1982

Language:

english

File:

PDF, 2.06 MB

english, 1982

13

A method of statistical neurodynamics

Shun-ichi Amari

Journal:

Biological Cybernetics

Year:

1974

Language:

english

File:

PDF, 1.05 MB

english, 1974

14

On-line learning in changing environments with applications in supervised and unsupervised learning

Noboru Murata, Motoaki Kawanabe, Andreas Ziehe, Klaus-Robert Müller, Shun-ichi Amari

Journal:

Neural Networks

Year:

2002

Language:

english

File:

PDF, 1.07 MB

english, 2002

15

Nonnegative Matrix and Tensor Factorizations || Multi-Way Array (Tensor) Factorizations and Decompositions

Cichocki, Andrzej, Zdunek, Rafal, Phan, Anh Huy, Amari, Shun-Ichi

Year:

2009

Language:

english

File:

PDF, 56.08 MB

english, 2009

16

Statistical neurodynamics of associative memory

Shun-Ichi Amari, Kenjiro Maginu

Journal:

Neural Networks

Year:

1988

Language:

english

File:

PDF, 854 KB

english, 1988

17

Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries

Shun-ichi Amari, Atsumi Ohara, Hiroshi Matsuzoe

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2012

Language:

english

File:

PDF, 252 KB

english, 2012

18

The AIC Criterion and Symmetrizing the Kullback–Leibler Divergence

Seghouane, Abd-Krim, Amari, Shun-Ichi

Journal:

IEEE Transactions on Neural Networks

Year:

2007

Language:

english

File:

PDF, 644 KB

english, 2007

19

[Lecture Notes in Statistics] Differential-Geometrical Methods in Statistics Volume 28 || Information, Ancillarity and Conditional Inference

Amari, Shun-ichi

Year:

1985

Language:

english

File:

PDF, 2.08 MB

english, 1985

20

Sparse Representation for Brain Signal Processing: A tutorial on methods and applications

Li, Yuanqing, Yu, Zhu Liang, Bi, Ning, Xu, Yong, Gu, Zhenghui, Amari, Shun-ichi

Journal:

IEEE Signal Processing Magazine

Year:

2014

Language:

english

File:

PDF, 1.43 MB

english, 2014

21

Field theory of self-organizing neural nets

Amari, Shun-Ichi

Journal:

IEEE Transactions on Systems Man and Cybernetics

Year:

1983

Language:

english

File:

PDF, 1.82 MB

english, 1983

22

Information Geometry of Estimating Functions in Semi-Parametric Statistical Models

Shun-Ichi Amari and Motoaki Kawanabe

Journal:

Year:

1997

Language:

english

File:

PDF, 2.07 MB

english, 1997

23

[Lecture Notes in Statistics] Differential-Geometrical Methods in Statistics Volume 28 || α-Divergence and α-Projection in Statistical Manifold

Amari, Shun-ichi

Year:

1985

Language:

english

File:

PDF, 2.33 MB

english, 1985

24

Topographic organization of nerve fields

Shun-Ichi Amari

Journal:

Bulletin of Mathematical Biology

Year:

1980

Language:

english

File:

PDF, 1.02 MB

english, 1980

25

Statistical analysis of learning dynamics

Noboru Murata, Shun-ichi Amari

Journal:

Signal Processing

Year:

1999

Language:

english

File:

PDF, 580 KB

english, 1999

26

Data compression and statistical inference

Shun-Ichi Amari

Journal:

Electronics and Communications in Japan (Part I: Communications))

Year:

1987

Language:

english

File:

PDF, 614 KB

english, 1987

27

Four Types of Learning Curves

Amari, Shun-ichi, Fujita, Naotake, Shinomoto, Shigeru

Journal:

Neural Computation

Year:

1992

Language:

english

File:

PDF, 597 KB

english, 1992

28

Integration of Stochastic Models by Minimizing α -Divergence

Amari, Shun-ichi

Journal:

Neural Computation

Year:

2007

Language:

english

File:

PDF, 107 KB

english, 2007

29

Nonnegative Matrix and Tensor Factorizations || Projected Gradient Algorithms

Cichocki, Andrzej, Zdunek, Rafal, Phan, Anh Huy, Amari, Shun-Ichi

Year:

2009

Language:

english

File:

PDF, 1.73 MB

english, 2009

30

[Lecture Notes in Statistics] Differential-Geometrical Methods in Statistics Volume 28 || Asymptotic Theory of Tests and Interval Estimators

Amari, Shun-ichi

Year:

1985

Language:

english

File:

PDF, 2.96 MB

english, 1985

31

Topographic organization of nerve fields

Amari, Shun-Ichi

Journal:

Neuroscience Letters

Year:

1979

Language:

english

File:

PDF, 136 KB

english, 1979

32

[IEEE 2011 IEEE International Symposium on Information Theory - ISIT - St. Petersburg, Russia (2011.07.31-2011.08.5)] 2011 IEEE International Symposium on Information Theory Proceedings - Data compression in multiterminal statistical inference —linear-threshold encoding

Amari, Shun-ichi

Year:

2011

Language:

english

File:

PDF, 248 KB

english, 2011

33

Geometrical methods in neural networks and learning

Simone Fiori, Shun-ichi Amari

Journal:

Year:

2005

Language:

english

File:

PDF, 161 KB

english, 2005

34

Dynamics and Computation of Continuous Attractors

Wu, Si, Hamaguchi, Kosuke, Amari, Shun-ichi

Journal:

Neural Computation

Year:

2008

Language:

english

File:

PDF, 926 KB

english, 2008

35

Blind source separation-semiparametric statistical approach

Shun-Ichi Amari, Cardoso, J.-F.

Journal:

IEEE Transactions on Signal Processing

Year:

1997

Language:

english

File:

PDF, 368 KB

english, 1997

36

VARIANTS OF THE KULLBACK-LEIBLER DIVERGENCE AND THEIR ROLE IN MODEL SELECTION

Seghouane, Abd-Krim, Amari, Shun-ichi

Journal:

IFAC Proceedings Volumes

Year:

2006

Language:

english

File:

PDF, 2.87 MB

english, 2006

37

Information geometry connecting Wasserstein distance and Kullback–Leibler divergence via the entropy-relaxed transportation problem

Amari, Shun-ichi, Karakida, Ryo, Oizumi, Masafumi

Journal:

Information Geometry

Year:

2018

Language:

english

File:

PDF, 667 KB

english, 2018

38

Equivalence Probability and Sparsity of Two Sparse Solutions in Sparse Representation

Li, Yuanqing, Cichocki, Andrzej, Amari, Shun-ichi, Xie, Shengli, Guan, Cuntai

Journal:

IEEE Transactions on Neural Networks

Year:

2008

Language:

english

File:

PDF, 789 KB

english, 2008

39

Maximum Likelihood Source Separation: Equivariance and Adaptivity

Cardoso, Jean-francois, Amari, Shun-ichi

Journal:

IFAC Proceedings Volumes

Year:

1997

Language:

english

File:

PDF, 1.58 MB

english, 1997

40

Unified stabilization approach to principal and minor components extraction algorithms

Tianping Chen, Shun-ichi Amari

Journal:

Neural Networks

Year:

2001

Language:

english

File:

PDF, 223 KB

english, 2001

41

Singularities Affect Dynamics of Learning in Neuromanifolds

Amari, Shun-ichi, Park, Hyeyoung, Ozeki, Tomoko

Journal:

Neural Computation

Year:

2006

Language:

english

File:

PDF, 646 KB

english, 2006

42

[Institute of Mathematical Statistics Lecture Notes - Monograph Series] Differential geometry in statistical inference || Chapter 2: Differential Geometrical Theory of Statistics

Amari, Shun-ichi

Year:

1987

Language:

english

File:

PDF, 4.08 MB

english, 1987

43

Nonnegative Matrix and Tensor Factorizations ||

Cichocki, Andrzej, Zdunek, Rafal, Phan, Anh Huy, Amari, Shun-Ichi

Year:

2009

File:

PDF, 123.67 MB

2009

44

Information-Geometric Measure for Neural Spikes

Nakahara, Hiroyuki, Amari, Shun-ichi

Journal:

Neural Computation

Year:

2002

Language:

english

File:

PDF, 804 KB

english, 2002

45

Dreaming of mathematical neuroscience for half a century

Shun-ichi Amari

Journal:

Neural Networks

Year:

2013

Language:

english

File:

PDF, 293 KB

english, 2013

46

A Mathematical Foundation for Statistical Neurodynamics

Amari, Shun-Ichi, Yoshida, Kiyonori, Kanatani, Ken-Ichi

Journal:

SIAM Journal on Applied Mathematics

Year:

1977

Language:

english

File:

PDF, 2.58 MB

english, 1977

47

A Mathematical Foundation for Statistical Neurodynamics

Shun-Ichi Amari, Kiyonori Yoshida and Ken-Ichi Kanatani

Journal:

SIAM Journal on Applied Mathematics

Year:

1977

Language:

english

File:

PDF, 2.10 MB

english, 1977

48

[Lecture Notes in Statistics] Differential-Geometrical Methods in Statistics Volume 28 || Statistical Inference in the Presence of Nuisance Parameters

Amari, Shun-ichi

Year:

1985

Language:

english

File:

PDF, 2.00 MB

english, 1985

49

[Applied Mathematical Sciences] Information Geometry and Its Applications Volume 194 ||

Amari, Shun-ichi

Year:

2016

Language:

english

File:

PDF, 6.14 MB

english, 2016

50

Dualistic theory of non-Riemannian material manifolds

Shun-Ichi Amari

Journal:

International Journal of Engineering Science

Year:

1981

Language:

english

File:

PDF, 706 KB

english, 1981

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