141 citations · 1.7k across the 117 of their papers we have counts for
6 papers · 1 filter
On analyticity with respect to the replica number in random energy models II: zeros on the complex plane
Kenzo Ogure, Yoshiyuki Kabashima
We characterize the breaking of analyticity with respect to the replica number which occurs in random energy models via the complex zeros of the moment of the partition function. W…
On analyticity with respect to the replica number in random energy models I: an exact expression of the moment of the partition function
Kenzo Ogure, Yoshiyuki Kabashima
We provide an exact expression of the moment of the partition function for random energy models of finite system size, generalizing an earlier expression for a grand canonical vers…
Learning of correlated patterns by simple perceptrons
Takashi Shinzato, Yoshiyuki Kabashima
Learning behavior of simple perceptrons is analyzed for a teacher-student scenario in which output labels are provided by a teacher network for a set of possibly correlated input p…
Complex Replica Zeros of Ising Spin Glass at Zero Temperature
Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori
Zeros of the th moment of the partition function are investigated in a vanishing temperature limit , keeping . In this limit, the…
How could the replica method improve accuracy of performance assessment of channel coding?
Yoshiyuki Kabashima
We explore the relation between the techniques of statistical mechanics and information theory for assessing the performance of channel coding. We base our study on a framework dev…
An integral formula for large random rectangular matrices and its application to analysis of linear vector channels
Yoshiyuki Kabashima
A statistical mechanical framework for analyzing random linear vector channels is presented in a large system limit. The framework is based on the assumptions that the left and rig…