Information geometry (English Wikipedia)

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

refsWebsite

Global rank English rank

9doi.org

2^nd place

4arxiv.org

69^th place

59^th place

3semanticscholar.org

11^th place

8^th place

3worldcat.org

5^th place

3harvard.edu

18^th place

17^th place

1ams.org

451^st place

277^th place

1wiley.com

222^nd place

297^th place

1springer.com

274^th place

309^th place

1mdpi.com

2,912^th place

6,319^th place

1inria.fr

4,903^rd place

3,679^th place

1mit.edu

415^th place

327^th place

1nih.gov

4^th place

ams.org (Global: 451^st place; English: 277^th place)

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

arxiv.org (Global: 69^th place; English: 59^th place)

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. Bibcode:2015ITIT...61.1451R. 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 (Global: 2^nd place; English: 2^nd place)

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. Bibcode:2015ITIT...61.1451R. 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. Bibcode:1998ITAC...43..247B. 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 (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Raskutti, Garvesh; Mukherjee, Sayan (March 2015). "The Information Geometry of Mirror Descent". IEEE Transactions on Information Theory. 61 (3): 1451–1457. arXiv:1310.7780. Bibcode:2015ITIT...61.1451R. doi:10.1109/TIT.2015.2388583. ISSN 0018-9448.
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. Bibcode:1998ITAC...43..247B. 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.

inria.fr (Global: 4,903^rd place; English: 3,679^th place)

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. Bibcode:1998ITAC...43..247B. doi:10.1109/9.661075.

mdpi.com (Global: 2,912^th place; English: 6,319^th place)

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

mit.edu (Global: 415^th place; English: 327^th place)

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 (Global: 4^th place; English: 4^th place)

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 (Global: 11^th place; English: 8^th place)

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 (Global: 274^th place; English: 309^th place)

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 (Global: 222^nd place; English: 297^th place)

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 (Global: 5^th place; English: 5^th place)

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. Bibcode:2015ITIT...61.1451R. 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.

Information geometry (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

arxiv.org (Global: 69th place; English: 59th place)

doi.org (Global: 2nd place; English: 2nd place)

harvard.edu (Global: 18th place; English: 17th place)