Statistical Mechanical Analysis of CDMA Multiuser Detectors : AT Stability and Entropy of the RS Solution, and 1RSB Solution
スポンサーリンク
概要
- 論文の詳細を見る
A class of code-division multiple-access (CDMA) multiuser detectors in the large-system limit has been investigated by Tanaka by means of statistical mechanics, i.e. the replica method. He evaluated analytically the bit-error rate, the multiuser efficiency, etc. of Marginal-Posterior-Mode (MPM) detectors under the replica symmetry (RS) ansatz. In this paper, to investigate the breaking of the replica symmetry, we study the de Almeida-Thouless (AT) stability, the entropy, and the free energy of the RS solutions for MPM detectors including individually optimum (IO) ones.
- 理論物理学刊行会の論文
- 2005-04-30
著者
-
Yoshida Mika
Graduate School Of Humanities And Sciences Nara Women's University
-
OKADA MASATO
Graduate School of Frontier Sciences, The University of Tokyo
-
UEZU Tatsuya
Graduate School of Humanities and Sciences, Nara Women's University
-
TANAKA Toshiyuki
Graduate School of Informatics, Kyoto University
-
Uezu Tatsuya
Graduate School Of Human Culture Nara Women's University
-
Okada Masato
Graduate School Of Frontier Sciences The University Of Tokyo
-
Okada Masato
Division Of Transdisciplinary Of Sciences Graduate School Of Frontier Sciences The University Of Tok
-
Tanaka Toshiyuki
Graduate School Of Informatics Kyoto University
-
Okada Masato
Graduate School Of Engineering Science Osaka University
-
Uezu Tatsuya
Nara Women's Univ. Nara
関連論文
- Statistical Mechanics for Neural Spike Data Analysis Using Log-Linear Model
- Analysis Method Combining Monte Carlo Simulation and Principal Component Analysis : Application to Sourlas Code(General)
- A PCA Approach to Sourlas Code Analysis
- Statistical Mechanics of On-Line Node-Perturbation Learning
- 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
- Forward-Backward Time-Stepping Method Applied to Reconstruction of Dispersive Objects(WSANE 2009 (Workshop for Space, Aeronautical and Navigational Electronics))
- CS-1-9 2-D Forward-Backward Time-Stepping Approach to Breast Cancer Detection : Comparison of Immersion Liquids and Free Space
- 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)
- On-line Learning of Perceptron from Noisy Data by One and Two Teachers(General)
- Slow Dynamics Due to Singularities of Hierarchical Learning Machines
- On-Line Learning Dynamics of Multilayer Perceptrons with Unidentifiable Parameters
- Multiple Stability of a Sparsely Encoded Attractor Neural Network Model for the Inferior Temporal Cortex(General)
- Distinction of Coexistent Attractors in an Attractor Neural Network Model Using a Relaxation Process of Fluctuations in Firing Rates : Analysis with Statistical Mechanics(General)
- Dynamical Behavior of Phase Oscillator Networks on the Bethe Lattice(General)
- Theory of Time Domain Ensemble On-Line Learning of Perceptron under the Existence of External Noise(General)
- Statistical Mechanics of Time-Domain Ensemble Learning(General)
- Transfer Matrix Method for Instantaneous Spike Rate Estimation
- Image Restoration with a Truncated Gaussian Model(General)
- Forward-backward time-stepping method with parallel processing applied to time domain inverse scattering(WSANE2007)
- Exact Inference in Discontinuous Firing Rate Estimation Using Belief Propagation
- Naive Mean Field Approximation for Image Restoration
- Statistical Mechanics of On-line Node-perturbation Learning
- Response to Invasion by Antigens and Effects of Threshold in an Immune Network Dynamical System Model with a Small Number of Degrees of Freedom
- Analysis of an Immune Network Dynamical System Model with a Small Number of Degrees of Freedom
- Statistical Mechanics of Mexican-Hat-Type Horizontal Connection
- Bayesian-Optimal Image Reconstruction for Translational-Symmetric Filters(Cross-disciplinary physics and related areas of science and technology)
- Ensemble Learning of Linear Perceptrons : On-Line Learning Theory(General)
- A Large Scale Dynamical System Immune Network Model with Finite Connectivity(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- 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)
- Moment Problem in Replica Method
- Mean Field Analysis of Stochastic Neural Network Models with Synaptic Depression
- On the Conditions for the Existence of Perfect Learning and Power Law Behaviour in Learning from Stochastic Examples by Ising Perceptrons
- Learning of Non-Monotonic Target Functions by Ising Perceptrons : Learning Curve, Perfect Learning and Perfect Anti-Learning (General)
- Analysis of XY model with mexican-hat interaction on a circle : Derivation of saddle point equations and study of bifurcation structure
- 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)
- Solvable Model of a Phase Oscillator Network on a Circle with Infinite-Range Mexican-Hat-Type Interaction
- Online Learning of Perceptron from Noisy Data: A Case in which Both Student and Teacher Suffer from External Noise
- 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
- Retrieval Properties of Hopfield and Correlated Attractors in an Associative Memory Model (General)
- Estimating Membrane Resistance over Dendrite Using Markov Random Field
- Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses
- 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
- 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
- Statistical Mechanics of Node-Perturbation Learning for Nonlinear Perceptron
- Learning from Stochastic Rules by Spherical Perceptrons under Finite Temperature ---Optimal Temperature and Asymptotic Learning Curve---
- Inter-Layer Correlation in a Feed-Forward Network with Intra-Layer Common Noise
- A PCA Approach to Sourlas Code Analysis
- A User's Guide to Compressed Sensing for Communications Systems
- 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
- Superconvergence of Period-Doubling Cascade in Trapezoid Maps : Its Rigorous Proof and Superconvergence of the Period-Doubling Cascade Starting from a Period p Solution