Information geometry (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Information geometry" in English language version.

refsWebsite

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9doi.org

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4arxiv.org

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3semanticscholar.org

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3worldcat.org

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1ams.org

451^st place

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1wiley.com

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1springer.com

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1ieee.org

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1mdpi.com

2,912^th place

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1inria.fr

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1harvard.edu

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1mit.edu

415^th place

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1nih.gov

4^th place

ams.org

Nielsen, Frank (2022). "The Many Faces of Information Geometry" (PDF). Notices of the AMS. 69 (1). American Mathematical Society: 36-45.

arxiv.org

Nielsen, F. (2013). "Cramér-Rao Lower Bound and Information Geometry". In Bhatia, R.; Rajan, C. S. (eds.). Connected at Infinity II: On the Work of Indian Mathematicians. Texts and Readings in Mathematics. Vol. Special Volume of Texts and Readings in Mathematics (TRIM). Hindustan Book Agency. pp. 18–37. arXiv:1301.3578. doi:10.1007/978-93-86279-56-9_2. ISBN 978-93-80250-51-9. S2CID 16759683.
Bauer, Martin; Le Brigant, Alice; Lu, Yuxiu; Maor, Cy (2024-02-10). "The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections". Calculus of Variations and Partial Differential Equations. 63 (2): 56. arXiv:2306.14533. doi:10.1007/s00526-024-02660-5. ISSN 1432-0835.
Raskutti, Garvesh; Mukherjee, Sayan (March 2015). "The Information Geometry of Mirror Descent". IEEE Transactions on Information Theory. 61 (3): 1451–1457. arXiv:1310.7780. doi:10.1109/TIT.2015.2388583. ISSN 0018-9448.
van Handel, Ramon; Mabuchi, Hideo (2005). "Quantum projection filter for a highly nonlinear model in cavity QED". Journal of Optics B: Quantum and Semiclassical Optics. 7 (10): S226 – S236. arXiv:quant-ph/0503222. Bibcode:2005JOptB...7S.226V. doi:10.1088/1464-4266/7/10/005. S2CID 15292186.

doi.org

Rao, C. R. (1945). "Information and Accuracy Attainable in the Estimation of Statistical Parameters". Bulletin of the Calcutta Mathematical Society. 37: 81–91. Reprinted in Breakthroughs in Statistics. Springer. 1992. pp. 235–247. doi:10.1007/978-1-4612-0919-5_16. S2CID 117034671.
Nielsen, F. (2013). "Cramér-Rao Lower Bound and Information Geometry". In Bhatia, R.; Rajan, C. S. (eds.). Connected at Infinity II: On the Work of Indian Mathematicians. Texts and Readings in Mathematics. Vol. Special Volume of Texts and Readings in Mathematics (TRIM). Hindustan Book Agency. pp. 18–37. arXiv:1301.3578. doi:10.1007/978-93-86279-56-9_2. ISBN 978-93-80250-51-9. S2CID 16759683.
Amari, Shun'ichi (1983). "A foundation of information geometry". Electronics and Communications in Japan. 66 (6): 1–10. doi:10.1002/ecja.4400660602.
Bauer, Martin; Le Brigant, Alice; Lu, Yuxiu; Maor, Cy (2024-02-10). "The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections". Calculus of Variations and Partial Differential Equations. 63 (2): 56. arXiv:2306.14533. doi:10.1007/s00526-024-02660-5. ISSN 1432-0835.
Raskutti, Garvesh; Mukherjee, Sayan (March 2015). "The Information Geometry of Mirror Descent". IEEE Transactions on Information Theory. 61 (3): 1451–1457. arXiv:1310.7780. doi:10.1109/TIT.2015.2388583. ISSN 0018-9448.
Abdulkadirov, Ruslan; Lyakhov, Pavel; Nagornov, Nikolay (January 2022). "Accelerating Extreme Search of Multidimensional Functions Based on Natural Gradient Descent with Dirichlet Distributions". Mathematics. 10 (19): 3556. doi:10.3390/math10193556. ISSN 2227-7390.
Brigo, Damiano; Hanzon, Bernard; LeGland, Francois (1998). "A differential geometric approach to nonlinear filtering: the projection filter" (PDF). IEEE Transactions on Automatic Control. 43 (2): 247–252. doi:10.1109/9.661075.
van Handel, Ramon; Mabuchi, Hideo (2005). "Quantum projection filter for a highly nonlinear model in cavity QED". Journal of Optics B: Quantum and Semiclassical Optics. 7 (10): S226 – S236. arXiv:quant-ph/0503222. Bibcode:2005JOptB...7S.226V. doi:10.1088/1464-4266/7/10/005. S2CID 15292186.
Zlochin, Mark; Baram, Yoram (2001). "Manifold Stochastic Dynamics for Bayesian Learning". Neural Computation. 13 (11): 2549–2572. doi:10.1162/089976601753196021. PMID 11674851.

harvard.edu

ui.adsabs.harvard.edu

van Handel, Ramon; Mabuchi, Hideo (2005). "Quantum projection filter for a highly nonlinear model in cavity QED". Journal of Optics B: Quantum and Semiclassical Optics. 7 (10): S226 – S236. arXiv:quant-ph/0503222. Bibcode:2005JOptB...7S.226V. doi:10.1088/1464-4266/7/10/005. S2CID 15292186.

ieee.org

ieeexplore.ieee.org

Raskutti, Garvesh; Mukherjee, Sayan (March 2015). "The Information Geometry of Mirror Descent". IEEE Transactions on Information Theory. 61 (3): 1451–1457. arXiv:1310.7780. doi:10.1109/TIT.2015.2388583. ISSN 0018-9448.

inria.fr

hal.inria.fr

Brigo, Damiano; Hanzon, Bernard; LeGland, Francois (1998). "A differential geometric approach to nonlinear filtering: the projection filter" (PDF). IEEE Transactions on Automatic Control. 43 (2): 247–252. doi:10.1109/9.661075.

mdpi.com

Nielsen, Frank (2018). "An Elementary Introduction to Information Geometry". Entropy. 22 (10).

mit.edu

direct.mit.edu

Zlochin, Mark; Baram, Yoram (2001). "Manifold Stochastic Dynamics for Bayesian Learning". Neural Computation. 13 (11): 2549–2572. doi:10.1162/089976601753196021. PMID 11674851.

nih.gov

pubmed.ncbi.nlm.nih.gov

Zlochin, Mark; Baram, Yoram (2001). "Manifold Stochastic Dynamics for Bayesian Learning". Neural Computation. 13 (11): 2549–2572. doi:10.1162/089976601753196021. PMID 11674851.

semanticscholar.org

api.semanticscholar.org

Rao, C. R. (1945). "Information and Accuracy Attainable in the Estimation of Statistical Parameters". Bulletin of the Calcutta Mathematical Society. 37: 81–91. Reprinted in Breakthroughs in Statistics. Springer. 1992. pp. 235–247. doi:10.1007/978-1-4612-0919-5_16. S2CID 117034671.
Nielsen, F. (2013). "Cramér-Rao Lower Bound and Information Geometry". In Bhatia, R.; Rajan, C. S. (eds.). Connected at Infinity II: On the Work of Indian Mathematicians. Texts and Readings in Mathematics. Vol. Special Volume of Texts and Readings in Mathematics (TRIM). Hindustan Book Agency. pp. 18–37. arXiv:1301.3578. doi:10.1007/978-93-86279-56-9_2. ISBN 978-93-80250-51-9. S2CID 16759683.
van Handel, Ramon; Mabuchi, Hideo (2005). "Quantum projection filter for a highly nonlinear model in cavity QED". Journal of Optics B: Quantum and Semiclassical Optics. 7 (10): S226 – S236. arXiv:quant-ph/0503222. Bibcode:2005JOptB...7S.226V. doi:10.1088/1464-4266/7/10/005. S2CID 15292186.

springer.com

link.springer.com

Bauer, Martin; Le Brigant, Alice; Lu, Yuxiu; Maor, Cy (2024-02-10). "The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections". Calculus of Variations and Partial Differential Equations. 63 (2): 56. arXiv:2306.14533. doi:10.1007/s00526-024-02660-5. ISSN 1432-0835.

wiley.com

onlinelibrary.wiley.com

Amari, Shun'ichi (1983). "A foundation of information geometry". Electronics and Communications in Japan. 66 (6): 1–10. doi:10.1002/ecja.4400660602.

worldcat.org

search.worldcat.org

Bauer, Martin; Le Brigant, Alice; Lu, Yuxiu; Maor, Cy (2024-02-10). "The $$L^p$$-Fisher–Rao metric and Amari–C̆encov $$\alpha $$-Connections". Calculus of Variations and Partial Differential Equations. 63 (2): 56. arXiv:2306.14533. doi:10.1007/s00526-024-02660-5. ISSN 1432-0835.
Raskutti, Garvesh; Mukherjee, Sayan (March 2015). "The Information Geometry of Mirror Descent". IEEE Transactions on Information Theory. 61 (3): 1451–1457. arXiv:1310.7780. doi:10.1109/TIT.2015.2388583. ISSN 0018-9448.
Abdulkadirov, Ruslan; Lyakhov, Pavel; Nagornov, Nikolay (January 2022). "Accelerating Extreme Search of Multidimensional Functions Based on Natural Gradient Descent with Dirichlet Distributions". Mathematics. 10 (19): 3556. doi:10.3390/math10193556. ISSN 2227-7390.