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ArticlesPeer ReviewedFull Text
A Sequence of Escort Distributions and Generalizations of Expectations on q-Exponential Family
Author / Creator:Matsuzoe, Hiroshi
Publisher:Basel: MDPI AG
Journal title:Entropy (Basel, Switzerland), 2017-01, Vol.19 (1), p.7-7
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ArticlesPeer ReviewedFull Text
Deformed Algebras and Generalizations of Independence on Deformed Exponential Families
Author / Creator:Matsuzoe, Hiroshi ; Wada, Tatsuaki
Publisher:Basel: MDPI AG
Journal title:Entropy (Basel, Switzerland), 2015-08, Vol.17 (8), p.5729-5751
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Conjugate Representations and Characterizing Escort Expectations in Information Geometry
Author / Creator:Wada, Tatsuaki ; Matsuzoe, Hiroshi
Publisher:MDPI AG
Journal title:Entropy (Basel, Switzerland), 2017-07, Vol.19 (7), p.309
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ArticlesPeer ReviewedFull Text
Information Geometry of κ-Exponential Families: Dually-Flat, Hessian and Legendre Structures
Author / Creator:Scarfone, Antonio M. ; Matsuzoe, Hiroshi ; Wada, Tatsuaki
Publisher:MDPI
Journal title:Entropy (Basel, Switzerland), 2018-06, Vol.20 (6), p.436
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ArticlesPeer ReviewedFull Text
Dualistic Hessian Structures Among the Thermodynamic Potentials in the κ-Thermostatistics
Author / Creator:Wada, Tatsuaki ; Matsuzoe, Hiroshi ; Scarfone, Antonio
Publisher:MDPI AG
Journal title:Entropy (Basel, Switzerland), 2015-10, Vol.17 (10), p.7213-7229
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ArticlesPeer ReviewedFull Text
A dually flat structure on the space of escort distributions
Author / Creator:Ohara, Atsumi ; Matsuzoe, Hiroshi ; Amari, Shun-ichi
Publisher:Bristol: IOP Publishing
Journal title:Journal of physics. Conference series, 2010-12, Vol.201 (1), p.012012
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ArticlesPeer ReviewedFull Text
A Spatiotemporal Statistical Shape Model of the Brain Surface during Human Embryonic Development
Author / Creator:Kasahara, Kazuki ; Saito, Atsushi ; Takakuwa, Tetsuya ; Yamada, Shigehito ; Matsuzoe, Hiroshi ; Hontani, Hidekata ; Shimizu, Akinobu
Publisher:Kagoshima: Japanese Society for Medical and Biological Engineering
Journal title:Advanced Biomedical Engineering, 2018, Vol.7, pp.146-155
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ArticlesPeer ReviewedFull Text
Dualistic Hessian Structures Among the Thermodynamic Potentials in the [kappa]-Thermostatistics
Author / Creator:Wada, Tatsuaki ; Matsuzoe, Hiroshi ; Scarfone, Antonio M
Publisher:Basel: MDPI AG
Journal title:Entropy (Basel, Switzerland), 2015-10, Vol.17 (10), p.7213
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ArticlesFull Text
An eikonal equation approach to thermodynamics and the gradient flows in information geometry
Author / Creator:Wada, Tatsuaki ; Scarfone, Antonio M ; Matsuzoe, Hiroshi
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2020-10
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ArticlesFull Text
Invariant metric under deformed Markov embeddings with overlapped supports
Author / Creator:Matsuzoe, Hiroshi ; Takatsu, Asuka
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2020-08
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ArticlesFull Text
Huygens' equations and the gradient-flow equations in information geometry
Author / Creator:Wada, Tatsuaki ; Scarfone, Antonio M ; Matsuzoe, Hiroshi
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2023-08
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ArticlesFull Text
Gauge freedom of entropies on \(q\)-Gaussian measures
Author / Creator:Matsuzoe, Hiroshi ; Takatsu, Asuka
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2020-02
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ArticlesFull Text
Advantages of \(q\)-logarithm representation over \(q\)-exponential representation from the sense of scale and shift on nonlinear systems
Author / Creator:Suyari, Hiroki ; Matsuzoe, Hiroshi ; Scarfone, Antonio M
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2019-12
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ArticlesFull Text
On the canonical distributions of a thermal particle in the weakly confining potential of special type
Author / Creator:Wada, Tatsuaki ; Scarfone, Antonio M ; Matsuzoe, Hiroshi
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2019-05
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ArticlesFull Text
Dually flat structure with escort probability and its application to alpha-Voronoi diagrams
Author / Creator:Ohara, Atsumi ; Matsuzoe, Hiroshi ; Amari, Shun-ichi
Publisher:Ithaca: Cornell University Library, arXiv.org
Journal title:arXiv.org, 2010-10
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A Sequence of Escort Distributions and Generalizations of Expectations on q-Exponential Family

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Deformed Algebras and Generalizations of Independence on Deformed Exponential Families

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Conjugate Representations and Characterizing Escort Expectations in Information Geometry

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Information Geometry of κ-Exponential Families: Dually-Flat, Hessian and Legendre Structures

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Dualistic Hessian Structures Among the Thermodynamic Potentials in the κ-Thermostatistics

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A dually flat structure on the space of escort distributions

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A Spatiotemporal Statistical Shape Model of the Brain Surface during Human Embryonic Development

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Dualistic Hessian Structures Among the Thermodynamic Potentials in the [kappa]-Thermostatistics

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An eikonal equation approach to thermodynamics and the gradient flows in information geometry

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Invariant metric under deformed Markov embeddings with overlapped supports

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Huygens' equations and the gradient-flow equations in information geometry

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Gauge freedom of entropies on \(q\)-Gaussian measures

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Advantages of \(q\)-logarithm representation over \(q\)-exponential representation from the sense of scale and shift on nonlinear systems

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On the canonical distributions of a thermal particle in the weakly confining potential of special type

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Dually flat structure with escort probability and its application to alpha-Voronoi diagrams

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