A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors

T Tanaka - IEEE Transactions on Information theory, 2002 - ieeexplore.ieee.org
We present a theory, based on statistical mechanics, to evaluate analytically the
performance of uncoded, fully synchronous, randomly spread code-division multiple-access …

A CDMA multiuser detection algorithm on the basis of belief propagation

Y Kabashima - Journal of Physics A: Mathematical and General, 2003 - iopscience.iop.org
An iterative algorithm for the multiuser detection problem that arises in code division multiple
access (CDMA) systems is developed on the basis of Pearl's belief propagation (BP). We …

Randomly spread CDMA: Asymptotics via statistical physics

D Guo, S Verdú - IEEE Transactions on Information Theory, 2005 - ieeexplore.ieee.org
This paper studies randomly spread code-division multiple access (CDMA) and multiuser
detection in the large-system limit using the replica method developed in statistical physics …

Statistical-mechanical approach to image processing

K Tanaka - Journal of Physics A: Mathematical and General, 2002 - iopscience.iop.org
The basic frameworks and techniques of the Bayesian approach to image restoration are
reviewed from the statistical-mechanical point of view. First, a few basic notions in digital …

Statistical physics and information theory

N Merhav - … and Trends® in Communications and Information …, 2010 - nowpublishers.com
This monograph is based on lecture notes of a graduate course, which focuses on the
relations between information theory and statistical physics. The course was delivered at the …

Mean field analysis of reverse annealing for code-division multiple-access multiuser detection

S Arai, M Ohzeki, K Tanaka - Physical Review Research, 2021 - APS
Code-division multiple-access (CDMA) multiuser detection is a kind of signal recovery
problem. The main problem of CDMA multiuser detection is to estimate the original signal …

Analysis of CDMA systems that are characterized byeigenvalue spectrum

K Takeda, S Uda, Y Kabashima - Europhysics Letters, 2006 - iopscience.iop.org
An approach to analyze the performance of the code division multiple access (CDMA)
scheme, which is a core technology used in modern wireless communication systems, is …

Sparse representations, inference and learning

C Lauditi, E Troiani, M Mézard - Journal of Statistical Mechanics …, 2024 - iopscience.iop.org
In recent years statistical physics has proven to be a valuable tool to probe into large
dimensional inference problems such as the ones occurring in machine learning. Statistical …

Region graph partition function expansion and approximate free energy landscapes: Theory and some numerical results

H Zhou, C Wang - Journal of Statistical Physics, 2012 - Springer
Graphical models for finite-dimensional spin glasses and real-world combinatorial
optimization and satisfaction problems usually have an abundant number of short loops. The …

On the universality of noiseless linear estimation with respect to the measurement matrix

A Abbara, A Baker, F Krzakala… - Journal of Physics A …, 2020 - iopscience.iop.org
In a noiseless linear estimation problem, the goal is to reconstruct a vector from the
knowledge of its linear projections. There have been many theoretical works concentrating …