Monoparametric family of metrics derived from classical Jensen-Shannon divergence
Artículo finalmente publicado en: Osán, T. M., Bussandri, D. G. y Lamberti, P. W. (2018). Monoparametric family of metrics derived from classical Jensen-Shannon divergence. Physica A: Statistical Mechanics and its Applications, 495, 336-344. https://doi.org/10.1016/j.physa.2017.12.073
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | info:eu-repo/semantics/submittedVersion |
| Language: | eng |
| Published: |
2024
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/11086/553676 https://doi.org/10.48550/arXiv.1709.10153 |
| _version_ | 1811173566644748288 |
|---|---|
| author | Osán, Tristán Martín Bussandri, Diego Gastón Lamberti, Pedro Walter |
| author2 | https://orcid.org/0000-0002-0140-3069 |
| author_facet | https://orcid.org/0000-0002-0140-3069 Osán, Tristán Martín Bussandri, Diego Gastón Lamberti, Pedro Walter |
| author_sort | Osán, Tristán Martín |
| collection | Repositorio Digital Universitario |
| description | Artículo finalmente publicado en: Osán, T. M., Bussandri, D. G. y Lamberti, P. W. (2018). Monoparametric family of metrics derived from classical Jensen-Shannon divergence. Physica A: Statistical Mechanics and its Applications, 495, 336-344. https://doi.org/10.1016/j.physa.2017.12.073 |
| format | info:eu-repo/semantics/submittedVersion |
| id | rdu-unc.553676 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2024 |
| record_format | dspace |
| spelling | rdu-unc.5536762024-09-18T15:24:40Z Monoparametric family of metrics derived from classical Jensen-Shannon divergence Osán, Tristán Martín Bussandri, Diego Gastón Lamberti, Pedro Walter https://orcid.org/0000-0002-0140-3069 https://orcid.org/0000-0002-1266-5750 Jensen-Shannon divergence Metrics Information theory Quantum distances Artículo finalmente publicado en: Osán, T. M., Bussandri, D. G. y Lamberti, P. W. (2018). Monoparametric family of metrics derived from classical Jensen-Shannon divergence. Physica A: Statistical Mechanics and its Applications, 495, 336-344. https://doi.org/10.1016/j.physa.2017.12.073 info:eu-repo/semantics/submittedVersion Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Bussandri, Diego Gastón. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Bussandri, Diego Gastón. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Lamberti, Pedro Walter. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Jensen-Shannon divergence is a well known multi-purpose measure of dissimilarity between probability distributions. It has been proven that the square root of this quantity is a true metric in the sense that, in addition to the basic properties of a distance, it also satisfies the triangle inequality. In this work we extend this last result to prove that in fact it is possible to derive a monoparametric family of metrics from the classical Jensen-Shannon divergence. Motivated by our results, an application into the field of symbolic sequences segmentation is explored. Additionally, we analyze the possibility to extend this result into the quantum realm. info:eu-repo/semantics/submittedVersion Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Bussandri, Diego Gastón. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Bussandri, Diego Gastón. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Lamberti, Pedro Walter. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Otras Ciencias Físicas 2024-09-17T12:34:23Z 2024-09-17T12:34:23Z 2018 article 0378-4371 http://hdl.handle.net/11086/553676 1873-2119 https://doi.org/10.48550/arXiv.1709.10153 eng De la versión publicada: https://doi.org/10.1016/j.physa.2017.12.073 Atribución/Reconocimiento-NoComercial-SinDerivados 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es Impreso; Electrónico y/o Digital |
| spellingShingle | Jensen-Shannon divergence Metrics Information theory Quantum distances Osán, Tristán Martín Bussandri, Diego Gastón Lamberti, Pedro Walter Monoparametric family of metrics derived from classical Jensen-Shannon divergence |
| title | Monoparametric family of metrics derived from classical Jensen-Shannon divergence |
| title_full | Monoparametric family of metrics derived from classical Jensen-Shannon divergence |
| title_fullStr | Monoparametric family of metrics derived from classical Jensen-Shannon divergence |
| title_full_unstemmed | Monoparametric family of metrics derived from classical Jensen-Shannon divergence |
| title_short | Monoparametric family of metrics derived from classical Jensen-Shannon divergence |
| title_sort | monoparametric family of metrics derived from classical jensen shannon divergence |
| topic | Jensen-Shannon divergence Metrics Information theory Quantum distances |
| url | http://hdl.handle.net/11086/553676 https://doi.org/10.48550/arXiv.1709.10153 |
| work_keys_str_mv | AT osantristanmartin monoparametricfamilyofmetricsderivedfromclassicaljensenshannondivergence AT bussandridiegogaston monoparametricfamilyofmetricsderivedfromclassicaljensenshannondivergence AT lambertipedrowalter monoparametricfamilyofmetricsderivedfromclassicaljensenshannondivergence |