58 citations · 336 across the 38 of their papers we have counts for
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cs.IT2015★ 21 cited
Sparse approximation based on a random overcomplete basis
Yoshinori Nakanishi-Ohno, Tomoyuki Obuchi, Masato Okada +1
We discuss a strategy of sparse approximation that is based on the use of an overcomplete basis, and evaluate its performance when a random matrix is used as this basis. A small co…
cond-mat.stat-mech2015
Role of the Finite Replica Analysis in the Mean-Field Theory of Spin Glasses
Tomoyuki Obuchi
In this thesis, we review and examine the replica method from several viewpoints. The replica method is a mathematical technique to calculate general moments of stochastic variable…
cond-mat.stat-mech2015★ 9 cited
Learning probabilities from random observables in high dimensions: the maximum entropy distribution and others
Tomoyuki Obuchi, Simona Cocco, Rémi Monasson
We consider the problem of learning a target probability distribution over a set of binary variables from the knowledge of the expectation values (with this target distribution…