Laboratory for Mathematical Neuroscience

Laboratory for Mathematical Neuroscience


Mathematical neuroscience searches for fundamental principles of information processing by using simples models of neural networks through mathematical analysis, although the brain has found the same principles through a long history of evolution. The current project is a historical one, integrating published and unpublished papers towards establishment of mathematical neuroscience.


1 - 25 of 307 Items

icon_papar On the Information Contained in the Graph of a Network and Practical Methods of Dissection in Diakoptics 
S. Amari
RAAG Research Notes, 3rd Ser. 1960 (25) :51pp.

icon_papar An Anholonomic Statistical Approach to Space-Time, Electromagnetism, Microscopic Physics and General Relativity Theory in Analogy with Incompatibility, Plasticity and Stress-Function 
K. Kondo , S. Amari
RAAG Research Notes, 3rd Ser. 1961 (42) :42pp.

icon_papar Linear Programming with Weak Graphical Representation 
M. Iri , S. Amari , M. Takata
RAAG Research Notes, 3rd Ser. 1961 (47) :87pp.

icon_papar A Geometrical Theory of Moving Dislocations and Anelasticity 
S. Amari
RAAG Research Notes, 3rd Ser. 1972 (52) :27pp.

icon_papar Diakoptics of Information Spaces: I. A Geometrical Theory of Signal Spaces in the Presence of Noise 
S. Amari
RAAG Research Notes, 3rd Ser. 1962 (56) :41pp.

icon_papar On Some Primary Structures of Non-Riemannian Plasticity Theory 
S. Amari
RAAG Memoirs 1962 ;3 :99-108

icon_papar A Theory of Deformations and Stresses of Magnetic and Dielectric Substances by Finsler Geometry 
S. Amari
RAAG Memoirs 1962 ;3 :193-214

icon_papar Topological Foundations of Kron's Tearing of Electric Networks 
S. Amari
RAAG Memoirs 1962 ;3 :322-350

icon_papar Information-Theoretical Foundations of Diakoptics and Codiakoptics 
S. Amari
RAAG Memoirs 1962 ;3 :351-371

icon_papar Analytical Structures of Speech-Sounds, Mechanical Composition and Decomposition of Phonemes and the Design Principle of Primary Phonetical Automata 
K. Kondo , M. Takata , S. Amari
RAAG Memoirs 1962 ;3 :647-692

icon_papar A Survey of the Recent Japanese Investigations in Topological Network Theory and Diakoptics:I 
K. Kondo , M. Iri , S. Amari
Matrix and Tensor Quarterly 1963 ;13 (4) :103-108

icon_papar Diakoptics of Information Space : II. Tearing of Dimentionality of Signal Space and Imbedding-Reduction Scheme of Signal Space as the Basic Theory of Modulation and Diversity 
S. Amari
RAAG Research Notes, 3rd Ser. 1963 ;60 :42 pp.

icon_papar Diakopties of Information Space: III. Tearing of Signal Spaces 
S. Amari
RAAG Research Notes, 3rd Ser. 1963 (74) :29 pp.

icon_papar On the Continuous Communication Networks Including Feedback Branches 
S. Amari
RAAG Research Notes., 3rd Ser. 1963 (75) :15 pp.

icon_papar Dual Dislocations and Non-Riemmannian Stress Space 
S. Amari , K. Kagekawa
RAAG Research Notes, 3rd Ser. 1963 (82) :24 pp.

icon_papar Theory of Normalization in Pattern Recognition Systems 
S. Amari
RAAG Research Notes, 3rd Ser. 1965 (85) :39 pp.

icon_papar On the Concept of Dual Incompatibility and Dual Dislocation in Relation to Fracture Problem 
S. Amari
Int. Conf. Fracture, Sendai 1965 ;1 :15-16

icon_papar On Learning Decision Systems 
S.Amari
RAAG Research Notes 1965 (107) :20 pp.

icon_papar Theory of Adaptive Pattern Classifiers 
S. Amari
IEEE Trans., EC 1967 ;16 (3) :299-307

icon_papar On the Dual Yielding and Related Problems 
S. Minagawa , S. Amari
Mechanics of Generalized Continua. (E. Kröner ed., IUTAM Symposium, 1967), Springer 1968 :283-285

icon_papar A Dualistic Treatment of Non-Riemannian Material Spaces 
S. Amari
RAAG Research Notes, 3rd Ser. 1968 (125) :32 pp.

icon_papar A Geometrical Theory of Moving Dislocations and Anelasticity 
S. Amari
RAAG Memoirs 1968 ;4 :142-152

icon_papar Non-Riemannian Stress Space and Dual Dislocations 
S. Amari
RAAG Memoirs 1968 ;4 :153-161

icon_papar A Constructive Approach to the Non-Riemannian Features of Dislocations and Spin Distributions in Terms of Finsler's Geometry and a Possible Extension to the Space-time Formalism 
K. Kondo , S. Amari
RAAG Memoirs 1968 ;4 :225-238

icon_papar On the Standpoint of Non-Riemannian Plasticity Theory 
K. Kondo , M. Shimbo , S. Amari
RAAG Memoirs 1968 ;4 :205-224


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