178 citations · 456 across the 15 of their papers we have counts for
15 papers
Neural Tangent Kernels and Fisher Information Matrices for Simple ReLU Networks with Random Hidden Weights
Jun'ichi Takeuchi, Yoshinari Takeishi, Noboru Murata +3
Fisher information matrices and neural tangent kernels (NTK) for 2-layer ReLU networks with random hidden weight are argued. We discuss the relation between both notions as a linea…
Autoparallelity of Quantum Statistical Manifolds in Light of Quantum Estimation Theory
Hiroshi Nagaoka, Akio Fujiwara
In this paper we study the autoparallelity w.r.t. the e-connection for an information-geometric structure called the SLD structure, which consists of a Riemannian metric and mutual…
Coherence-variance uncertainty relation and coherence cost for quantum measurement under conservation laws
Hiroyasu Tajima, Hiroshi Nagaoka
Uncertainty relations are one of the fundamental principles in physics. It began as a fundamental limitation in quantum mechanics, and today the word {\it uncertainty relation} is…
Macroscopic Thermodynamic Reversibility in Quantum Many-Body Systems
Philippe Faist, Takahiro Sagawa, Kohtaro Kato +2
The resource theory of thermal operations, an established model for small-scale thermodynamics, provides an extension of equilibrium thermodynamics to nonequilibrium situations. On…
Asymptotic Reversibility of Thermal Operations for Interacting Quantum Spin Systems via Generalized Quantum Stein's Lemma
Takahiro Sagawa, Philippe Faist, Kohtaro Kato +3
For quantum spin systems in any spatial dimension with a local, translation-invariant Hamiltonian, we prove that asymptotic state convertibility from a quantum state to another one…
Information-geometrical characterization of statistical models which are statistically equivalent to probability simplexes
Hiroshi Nagaoka
The probability simplex is the set of all probability distributions on a finite set and is the most fundamental object in the finite probability theory. In this paper we give a cha…