109 citations · 368 across the 11 of their papers we have counts for
11 papers
Rate Distortion Theorem and the Multicritical Point of Spin Glass
Tatsuto Murayama, Asaki Saito, Peter Davis
A spin system can be thought of as an information coding system that transfers information of the interaction configuration into information of the equilibrium state of the spin va…
Reduction of Error-Trellises for Tail-Biting Convolutional Codes Using Shifted Error-Subsequences
Masato Tajima, Koji Okino, Tatsuto Murayama
In this paper, we discuss the reduction of error-trellises for tail-biting convolutional codes. In the case where some column of a parity-check matrix has a monomial factor (with i…
A Large Deviations Result for Aggregation of Independent Noisy Observations
Tatsuto Murayama, Peter Davis
Sensing and aggregation of noisy observations should not be considered as separate issues. The quality of collective estimation involves a difficult tradeoff between sensing qualit…
Universal Behavior in Large-scale Aggregation of Independent Noisy Observations
Tatsuto Murayama, Peter Davis
Aggregation of noisy observations involves a difficult tradeoff between observation quality, which can be increased by increasing the number of observations, and aggregation qualit…
Thouless-Anderson-Palmer Approach for Lossy Compression
Tatsuto Murayama
We study an ill-posed linear inverse problem, where a binary sequence will be reproduced using a sparce matrix. According to the previous study, this model can theoretically provid…
One step RSB scheme for the rate distortion function
Tatsuto Murayama, Masato Okada
We apply statistical mechanics to an inverse problem of linear mapping to investigate the physics of the irreversible compression. We use the replica symmetry breaking (RSB) techni…