141 citations · 1.7k across the 117 of their papers we have counts for
41 papers · 1 filter
Quantum effects in rotationally invariant spin glass models
Yoshinori Hara, Yoshiyuki Kabashima
This study investigates the quantum effects in transverse-field Ising spin glass models with rotationally invariant random interactions. The primary aim is to evaluate the validity…
Exact Replica Symmetric solution for transverse field Hopfield model under finite Trotter size
Koki Okajima, Yoshiyuki Kabashima
We analyze the quantum Hopfield model in which an extensive number of patterns are embedded in the presence of a uniform transverse field. This analysis employs the replica method…
Average case analysis of Lasso under ultra-sparse conditions
Koki Okajima, Xiangming Meng, Takashi Takahashi +1
We analyze the performance of the least absolute shrinkage and selection operator (Lasso) for the linear model when the number of regressors grows larger keeping the true suppo…
Structure Learning in Inverse Ising Problems Using -Regularized Linear Estimator
Xiangming Meng, Tomoyuki Obuchi, Yoshiyuki Kabashima
The inference performance of the pseudolikelihood method is discussed in the framework of the inverse Ising problem when the -regularized (ridge) linear regression is adopt…
Learning performance in inverse Ising problems with sparse teacher couplings
Alia Abbara, Yoshiyuki Kabashima, Tomoyuki Obuchi +1
We investigate the learning performance of the pseudolikelihood maximization method for inverse Ising problems. In the teacher-student scenario under the assumption that the teache…
Statistical mechanical analysis of sparse linear regression as a variable selection problem
Tomoyuki Obuchi, Yoshinori Nakanishi-Ohno, Masato Okada +1
An algorithmic limit of compressed sensing or related variable-selection problems is analytically evaluated when a design matrix is given by an overcomplete random matrix. The repl…
Inferring neuronal couplings from spiking data using a systematic procedure with a statistical criterion
Yu Terada, Tomoyuki Obuchi, Takuya Isomura +1
Recent remarkable advances in the experimental techniques have provided a background for inferring neuronal couplings from point process data that includes a great number of neuron…
Resilience of antagonistic networks with regard to the effects of initial failures and degree-degree correlations
Shunsuke Watanabe, Yoshiyuki Kabashima
In this study, we investigate the resilience of duplex networked layers ( and ) coupled with antagonistic interlinks, each layer of which inhibits its counterpart at the micr…
Replica analysis of Franz-Parisi potential for sparse systems
Masahiko Ueda, Yoshiyuki Kabashima
We propose a method for calculating the Franz-Parisi potential for spin glass models on sparse random graphs using the replica method under the replica symmetric ansatz. The result…
Origin of the computational hardness for learning with binary synapses
Haiping Huang, Yoshiyuki Kabashima
Supervised learning in a binary perceptron is able to classify an extensive number of random patterns by a proper assignment of binary synaptic weights. However, to find such assig…
Dynamics of asymmetric kinetic Ising systems revisited
Haiping Huang, Yoshiyuki Kabashima
The dynamics of an asymmetric kinetic Ising model is studied. Two schemes for improving the existing mean-field description are proposed. In the first scheme, we derive the formula…
Cavity-based robustness analysis of interdependent networks: Influences of intranetwork and internetwork degree-degree correlations
Shunsuke Watanabe, Yoshiyuki Kabashima
We develop a methodology for analyzing the percolation phenomena of two mutually coupled (interdependent) networks based on the cavity method of statistical mechanics. In particula…
Entropy landscape of solutions in the binary perceptron problem
Haiping Huang, K. Y. Michael Wong, Yoshiyuki Kabashima
The statistical picture of the solution space for a binary perceptron is studied. The binary perceptron learns a random classification of input random patterns by a set of binary s…
Adaptive Thouless-Anderson-Palmer approach to inverse Ising problems with quenched random fields
Haiping Huang, Yoshiyuki Kabashima
The adaptive Thouless-Anderson-Palmer equation is derived for inverse Ising problems in the presence of quenched random fields. We test the proposed scheme on Sherrington-Kirkpatri…
A Mean-field Approach for an Intercarrier Interference Canceller for OFDM
Ayaka Sakata, Yoshiyuki Kabashima, Yitzhak Peleg
The similarity of the mathematical description of random-field spin systems to orthogonal frequency-division multiplexing (OFDM) scheme for wireless communication is exploited in a…
First eigenvalue/eigenvector in sparse random symmetric matrices: influences of degree fluctuation
Yoshiyuki Kabashima, Hisanao Takahashi
The properties of the first (largest) eigenvalue and its eigenvector (first eigenvector) are investigated for large sparse random symmetric matrices that are characterized by bimod…
Statistical Mechanics of Dictionary Learning
Ayaka Sakata, Yoshiyuki Kabashima
Finding a basis matrix (dictionary) by which objective signals are represented sparsely is of major relevance in various scientific and technological fields. We consider a problem…
Zero-Temperature Complex Replica Zeros of the Ising Spin Glass on Mean-Field Systems and Beyond
Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori +1
Zeros of the moment of the partition function with respect to complex are investigated in the zero temperature limit , keeping $y=βn \app…
Cavity analysis on the robustness of random networks against targeted attacks: Influences of degree-degree correlations
Yoshifumi Shiraki, Yoshiyuki Kabashima
We developed a scheme for evaluating the size of the largest connected subnetwork (giant component) in random networks and the percolation threshold when sites (nodes) and/or bonds…
Weight space structure and analysis using a finite replica number in the Ising perceptron
Tomoyuki Obuchi, Yoshiyuki Kabashima
The weight space of the Ising perceptron in which a set of random patterns is stored is examined using the generating function of the partition function as t…
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…