Statistical Mechanics of Mexican-Hat-Type Horizontal Connection
スポンサーリンク
概要
- 論文の詳細を見る
We propose a multi-hypercolumn model consisting of $M$ hypercolumns. Adjacent hypercolumns interact with each other through horizontal connections. This model consists of inter-hypercolumn and intra-hypercolumn Mexican-hat-type interactions. We analyze our model using statistical–mechanical methods. In this model, we theoretically show that the free energy is equivalent to the posterior distribution in the Bayesian framework in extremely weak inter-hypercolumn interactions. A numerical experiment supports this equivalence. The results of this study reveal the relationship between a microscopic neural structure and a macroscopic computational theory.
- Physical Society of Japanの論文
- 2009-06-15
著者
-
Takiyama Ken
Graduate School Of Engineering Hiroshima University
-
Naruse Yasushi
Kobe Advanced Ict Research Center Nict
-
Okada Masato
Graduate School Of Engineering Science Osaka University
-
Takiyama Ken
Graduate School of Frontier Sciences, The University of Tokyo, Kashiwa, Chiba 277-8561
-
Naruse Yasushi
Kobe Advanced ICT Research Center, NICT, Kobe 651-2492
関連論文
- Statistical Mechanical Study of Code-Division Multiple-Access Multiuser Detectors : Analysis of Replica Symmetric and One-Step Replica Symmetry Breaking Solutions(General)
- Statistical Mechanical Analysis of CDMA Multiuser Detectors : AT Stability and Entropy of the RS Solution, and 1RSB Solution
- Retrieval Property of Attractor Network with Synaptic Depression(General)
- Analysis of Ensemble Learning Using Simple Perceptrons Based on Online Learning Theory
- Retrieval of Branching Sequences in an Associative Memory Model with Common External Input and Bias Input(Cross-disciplinary physics and related areas of science and technology)
- Residual Energies after Slow Quantum Annealing(General)
- Multiple Stability of a Sparsely Encoded Attractor Neural Network Model for the Inferior Temporal Cortex(General)
- Observation of OH Radical Reactions with Atomic Hydrogen in He/H2O Plasmas by Laser-Induced Fluorescence Spectroscopy
- Image Restoration with a Truncated Gaussian Model(General)
- Exact Inference in Discontinuous Firing Rate Estimation Using Belief Propagation
- Statistical Mechanics of On-line Node-perturbation Learning
- Statistical Mechanics of Mexican-Hat-Type Horizontal Connection
- Ensemble Learning of Linear Perceptrons : On-Line Learning Theory(General)
- Development of Supersonic Metastable Helium Pulsed Beam Source for Plasma Diagnostics
- Analysis of XY Model with Mexican-Hat Interaction on a Circle
- Exact Inference in Discontinuous Firing Rate Estimation Using Belief Propagation
- Influence of Synaptic Depression on Memory Storage Capacity
- Neural Network Model of Spatial Memory: Associative Recall of Maps
- Statistical Mechanics of On-Line Mutual Learning with Many Linear Perceptrons
- Statistical Mechanics of Mutual Learning with a Latent Teacher(General)
- Mean Field Analysis of Stochastic Neural Network Models with Synaptic Depression
- Rate Reduction for Associative Memory Model n Hodgkin-Huxley-Type Network(Cross-disciplinary physics and related areas of science and technology)
- Higher Order Effects on Rate Reduction for Networks of Hodgkin-Huxley Neurons(Cross-disciplinary physics and related areas of science and technology)
- Estimation of Intracellular Calcium Ion Concentration by Nonlinear State Space Modeling and Expectation-Maximization Algorithm for Parameter Estimation
- Neural Network Model with Discrete and Continuous Information Representation
- Estimating Membrane Resistance over Dendrite Using Markov Random Field
- Two-Dimensional Spatial Temperature and Density Measurements in an Arcjet Plasma Expanding through a Slit Nozzle
- Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses
- Effect of Cathode Length on Electrical Characteristics of a Microhollow Cathode Discharge in Helium
- Analysis of XY Model with Mexican-Hat Interaction on a Circle ---Derivation of Saddle Point Equations and Study of Bifurcation Structure---
- Solvable Model of a Phase Oscillator Network on a Circle with Infinite-Range Mexican-Hat-Type Interaction
- Spatially Resolved Spectroscopic Study of Arcjet Helium Plasma Expanding through a Rectangular Converging and Diverging Nozzle
- Multiple Stability of a Sparsely Encoded Attractor Neural Network Model for the Inferior Temporal Cortex
- Image Segmentation and Restoration Using Switching State-Space Model and Variational Bayesian Method
- Statistical Mechanical Analysis of CDMA Multiuser Detectors : AT Stability and Entropy of the RS Solution, and 1RSB Solution
- Stability Analysis of Attractor Neural Network Model of Inferior Temporal Cortex —Relationship between Attractor Stability and Learning Order—
- Bayesian Image Restoration for Medical Images Using Radon Transform
- Statistical Mechanics of Mexican-Hat-Type Horizontal Connection
- Effect of Disalignment due to Electron Collision on Laser-Induced Fluorescence Polarization Spectroscopy for Measuring Electric Field in Plasmas
- Fast Numerical Calculation for a Set of Nonlinear Rate Equations: Application to Rapid Ionizaton Phase in Plasma
- Statistical Mechanics of Node-Perturbation Learning for Nonlinear Perceptron
- Inter-Layer Correlation in a Feed-Forward Network with Intra-Layer Common Noise
- Continuous Attractor that Appears in Autoassociative Memory Model Extended to XY Spin System
- Statistical–Mechanical Analysis of Attractor Dynamics in a Hysteretic Neuron Network
- A Numerical Analysis of Learning Coefficient in Radial Basis Function Network
- Inter-Layer Correlation in a Feed-Forward Network with Intra-Layer Common Noise
- Analysis of Ensemble Learning Using Simple Perceptrons Based on Online Learning Theory