المؤلفون: Achal Singh, Manoj Kumar, Chayan Mishra

المصدر: AUT Journal of Mathematics and Computing, Vol 3, Iss 1, Pp 27-33 (2022)

مصطلحات موضوعية: finsler metric, kropina metric, generalized kropina metric, m-th root metrics, locally projectively flat, conformal change, locally dually flat, Mathematics, QA1-939

وصف الملف: electronic resource

Relation: https://ajmc.aut.ac.ir/article_4633_773cfa89212b73ab62f9023aba8eee18.pdf; https://doaj.org/toc/2783-2449; https://doaj.org/toc/2783-2287

URL الوصول: https://doaj.org/article/d98355a705804558bdc64bf00bf1ff9a

المؤلفون: Jan Naudts

المصدر: Frontiers in Physics, Vol 11 (2023)

مصطلحات موضوعية: exponential arcs, quantum statistical manifold, quantum divergence function, Araki’s relative entropy, dually flat geometry, Tomita–Takesaki theory, Physics, QC1-999

وصف الملف: electronic resource

Relation: https://www.frontiersin.org/articles/10.3389/fphy.2023.1042257/full; https://doaj.org/toc/2296-424X

URL الوصول: https://doaj.org/article/0635808533c341fb9e45d1469e2b7038

المؤلفون: Jan Naudts

المصدر: Entropy; Volume 25; Issue 4; Pages: 651

مصطلحات موضوعية: dually flat geometry, spacetime, information geometry, induced matter theory, membrane theory, de Sitter space

وصف الملف: application/pdf

Relation: Statistical Physics; https://dx.doi.org/10.3390/e25040651

الاتاحة: https://doi.org/10.3390/e25040651

المؤلفون: Lal Chandra, Ganga Prasad Yadav

المصدر: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 09(02), 2178-2186, (2021-02-04)

مصطلحات موضوعية: Conformal transformation, Homothety, Lagrange space, Locally dually flat, (γ, β)-metric

Relation: https://doi.org/10.47191/ijmcr/v9i2.01; oai:zenodo.org:4542889

الاتاحة: https://doi.org/10.47191/ijmcr/v9i2.01

المؤلفون: Iulia-Elena Hirica, Cristina-Liliana Pripoae, Gabriel-Teodor Pripoae, Vasile Preda

المصدر: Mathematics; Volume 9; Issue 14; Pages: 1654

مصطلحات موضوعية: statistical manifold, dual connections, Fisher metric, Gibbs entropy, invariant connections on Lie groups, Information Geometry, dually flat connections, deformation algebras, Riemannian Rinehart algebras, bi-algebras, control tools

وصف الملف: application/pdf

Relation: Probability and Statistics; https://dx.doi.org/10.3390/math9141654

الاتاحة: https://doi.org/10.3390/math9141654

المؤلفون: Thanwerdas, Yann, Pennec, Xavier

المساهمون: COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), E-Patient : Images, données & mOdèles pour la médeciNe numériquE (EPIONE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), ERC G-Statistics No 786854ANR UCAJEDI No ANR-15-IDEX-01, Inria@SiliconValley, GeomStats, G-Statistics, ANR-15-IDEX-0001,UCA JEDI,Idex UCA JEDI(2015), European Project: 786854,H2020 Pilier ERC,ERC AdG(2018)

المصدر: International Conference on Geometric Science of Information ; GSI 2019 - 4th conference on Geometric Science of Information ; https://hal.science/hal-02158525 ; GSI 2019 - 4th conference on Geometric Science of Information, Aug 2019, Toulouse, France. pp.484--493, ⟨10.1007/978-3-030-26980-7_50⟩

مصطلحات موضوعية: Dually flat connections, SPD matrices, Information geometry, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]

جغرافية الموضوع: Toulouse, France

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1909.03852; info:eu-repo/grantAgreement//786854/EU/G-Statistics - Foundations of Geometric Statistics and Their Application in the Life Sciences/ERC AdG; ARXIV: 1909.03852

الاتاحة: https://hal.science/hal-02158525
https://hal.science/hal-02158525v1/document
https://hal.science/hal-02158525v1/file/Thanwerdas_GSI19_Balanced%20metrics.pdf
https://doi.org/10.1007/978-3-030-26980-7_50

المؤلفون: Frank Nielsen

المصدر: Entropy; Volume 22; Issue 10; Pages: 1100

مصطلحات موضوعية: differential geometry, metric tensor, affine connection, metric compatibility, conjugate connections, dual metric-compatible parallel transport, information manifold, statistical manifold, curvature and flatness, dually flat manifolds, Hessian manifolds, exponential family, mixture family, statistical divergence, parameter divergence, separable divergence, Fisher–Rao distance, statistical invariance, Bayesian hypothesis testing, mixture clustering, α-embeddings, mixed parameterization, gauge freedom

وصف الملف: application/pdf

Relation: Entropy Reviews; https://dx.doi.org/10.3390/e22101100

الاتاحة: https://doi.org/10.3390/e22101100

المؤلفون: Simsir, Fatma Muazzez

المساهمون: Selçuk Üniversitesi

مصطلحات موضوعية: Statistical manifolds, dually flat structures, harmonic maps

Relation: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://dx.doi.org/10.31801/cfsuasmas.530449; https://hdl.handle.net/20.500.12395/37428; 68; 1370; 1376

الاتاحة: https://hdl.handle.net/20.500.12395/37428
https://doi.org/10.31801/cfsuasmas.530449

المؤلفون: Tatsuaki Wada, Hiroshi Matsuzoe, Antonio M. Scarfone

المصدر: Entropy, Vol 17, Iss 10, Pp 7213-7229 (2015)

مصطلحات موضوعية: κ-entropy, κ-exponential, κ-logarithm, information geometry, Hessian geometry, dually-flat, thermodynamic geometry, Science, Astrophysics, QB460-466, Physics, QC1-999

وصف الملف: electronic resource

Relation: http://www.mdpi.com/1099-4300/17/10/7213; https://doaj.org/toc/1099-4300

URL الوصول: https://doaj.org/article/6d3d38a3be614038a5325fc7c7b46e4e

المؤلفون: Tatsuaki Wada, Antonio M. Scarfone

المصدر: Entropy, Vol 17, Iss 3, Pp 1204-1217 (2015)

مصطلحات موضوعية: \(\kappa\)-entropy, \(\kappa\)-exponential, \(\kappa\)-logarithm, information geometry, Fisher metric, dually-flat, fluctuation-response relation, Science, Astrophysics, QB460-466, Physics, QC1-999

وصف الملف: electronic resource

Relation: http://www.mdpi.com/1099-4300/17/3/1204; https://doaj.org/toc/1099-4300

URL الوصول: https://doaj.org/article/3bb1fd81f8384c7c88fb4bf047444a60

المؤلفون: Antonio M. Scarfone, Hiroshi Matsuzoe, Tatsuaki Wada

المصدر: Entropy; Volume 20; Issue 6; Pages: 436

مصطلحات موضوعية: κ -generalized statistical mechanics, information geometry, dually-flat geometry, Hessian geometry, Legendre structure, divergence functions

وصف الملف: application/pdf

Relation: Statistical Physics; https://dx.doi.org/10.3390/e20060436

الاتاحة: https://doi.org/10.3390/e20060436

المؤلفون: Atsumi Ohara

المصدر: Entropy; Volume 20; Issue 3; Pages: 186

مصطلحات موضوعية: representing functions, affine immersion, nonextensive statistical physics, invariance, dually flat structure, Legendre conjugate, gradient flow

وصف الملف: application/pdf

Relation: Statistical Physics; https://dx.doi.org/10.3390/e20030186

الاتاحة: https://doi.org/10.3390/e20030186

المؤلفون: Shun-ichi Amari

المصدر: Entropy, Vol 16, Iss 4, Pp 2131-2145 (2014)

مصطلحات موضوعية: information geometry, dually flat structure, decomposable divergence, (ρ,τ) -structure, Science, Astrophysics, QB460-466, Physics, QC1-999

وصف الملف: electronic resource

Relation: http://www.mdpi.com/1099-4300/16/4/2131; https://doaj.org/toc/1099-4300

URL الوصول: https://doaj.org/article/f81ba38a6dca4d4b914684f42a5b2a1d

المؤلفون: Fatma Muazzez Şimşir

المساهمون: Selçuk Üniversitesi

المصدر: Volume: 68, Issue: 2 1370-1376
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

مصطلحات موضوعية: Pure mathematics, harmonic maps, Structure (category theory), Harmonic map, General Medicine, Riemannian manifold, Mathematics::Geometric Topology, Statistical manifolds, Domain (mathematical analysis), Manifold, Statistical manifold, Statistical manifolds,dually flat structures,harmonic maps, dually flat structures, Mathematics::Differential Geometry, Uniqueness, Sectional curvature, Mathematics::Symplectic Geometry, Mathematics

وصف الملف: application/pdf

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07da70d899fadeac29162c677dd76918
https://hdl.handle.net/20.500.12395/37428

المساهمون: The Pennsylvania State University CiteSeerX Archives

المصدر: http://arxiv.org/pdf/math-ph/0308037v1.pdf.

مصطلحات موضوعية: Infinite dimensional quantum information manifolds with dually flat affine

وصف الملف: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.2377; http://arxiv.org/pdf/math-ph/0308037v1.pdf

الاتاحة: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.341.2377
http://arxiv.org/pdf/math-ph/0308037v1.pdf

المؤلفون: Yann Thanwerdas, Xavier Pennec

المساهمون: COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), E-Patient : Images, données & mOdèles pour la médeciNe numériquE (EPIONE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), ERC G-Statistics No 786854ANR UCAJEDI No ANR-15-IDEX-01, Inria@SiliconValley, GeomStats, G-Statistics, ANR-15-IDEX-0001,UCA JEDI,Idex UCA JEDI(2015), European Project: 786854,H2020 Pilier ERC,ERC AdG(2018)

المصدر: International Conference on Geometric Science of Information
GSI 2019-4th conference on Geometric Science of Information
GSI 2019-4th conference on Geometric Science of Information, Aug 2019, Toulouse, France. pp.484--493, ⟨10.1007/978-3-030-26980-7_50⟩
Geometric Science of Information-4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings
Lecture Notes in Computer Science
Lecture Notes in Computer Science-Geometric Science of Information
Lecture Notes in Computer Science ISBN: 9783030269791
GSI

مصطلحات موضوعية: Mathematics - Differential Geometry, Relation (database), Computer science, SPD matrices, Structure (category theory), Dually flat connections, 02 engineering and technology, Positive-definite matrix, 16. Peace & justice, Manifold, 030218 nuclear medicine & medical imaging, Algebra, Set (abstract data type), 03 medical and health sciences, 0302 clinical medicine, Differential Geometry (math.DG), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], Metric (mathematics), Euclidean geometry, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics::Metric Geometry, 020201 artificial intelligence & image processing, Information geometry

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eeab08f3e34968ec7deec512dce5c3ac
http://arxiv.org/abs/1909.03852

المؤلفون: Tayebi, Akbar

مصطلحات موضوعية: locally dually flat metric, projectively flat metric, $4$-th root metric, 53B40, 53C60

وصف الملف: application/pdf

Relation: https://projecteuclid.org/euclid.tbilisi/1553565628; Tbilisi Math. J. 12, iss. 1 (2019), 83-92

الاتاحة: https://projecteuclid.org/euclid.tbilisi/1553565628

المؤلفون: Akbar Tayebi

المصدر: Tbilisi Math. J. 12, iss. 1 (2019), 83-92

مصطلحات موضوعية: Combinatorics, $4$-th root metric, projectively flat metric, Bar (music), Metric (mathematics), 53B40, Root (chord), 53C60, Beta (velocity), locally dually flat metric, Mathematics, Exponential function

وصف الملف: application/pdf

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b11a9f9f398eb746734c0fcb979eeb8c
https://projecteuclid.org/euclid.tbilisi/1553565628

المؤلفون: Xinyue Cheng, Yanfang Tian

المصدر: Differential Geometry and its Applications. 29:S98-S106

مصطلحات موضوعية: Finsler metric of scalar flag curvature, Locally dually flat Finsler metric, Isotropy, Mathematical analysis, Scalar (mathematics), Mathematics::General Topology, Randers metric, Curvature, Locally projectively flat Finsler metric, Computational Theory and Mathematics, Mathematics::Metric Geometry, Mathematics::Differential Geometry, Geometry and Topology, Information geometry, Finsler metric, Analysis, Mathematics

URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dab1ca63b9ba0a902df1433e140585ad
https://doi.org/10.1016/j.difgeo.2011.04.014

المؤلفون: Wada T.(1), Scarfone A.M.(2)

المصدر: Entropy (Basel, Online) 17 (2015): 1204–1217. doi:10.3390/e17031236
info:cnr-pdr/source/autori:Wada T.(1); Scarfone A.M.(2)/titolo:Information geometry on the kappa-thermostatistics/doi:10.3390%2Fe17031236/rivista:Entropy (Basel, Online)/anno:2015/pagina_da:1204/pagina_a:1217/intervallo_pagine:1204–1217/volume:17

مصطلحات موضوعية: information geometry, fluctuation-response relation, Fisher metric, dually-flat, k-logarithm, k-entropy, k-exponential

URL الوصول: https://explore.openaire.eu/search/publication?articleId=cnr_________::831c88c3c2d9b89f43ef5e5f36ffb9dc
https://publications.cnr.it/doc/326720