{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T03:28:04Z","timestamp":1773199684594,"version":"3.50.1"},"reference-count":16,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2015,3,17]],"date-time":"2015-03-17T00:00:00Z","timestamp":1426550400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We construct geometric shrinkage priors for K\u00e4hlerian signal filters. Based on the characteristics of K\u00e4hler manifolds, an efficient and robust algorithm for finding superharmonic priors which outperform the Jeffreys prior is introduced. Several ans\u00e4tze for the Bayesian predictive priors are also suggested. In particular, the ans\u00e4tze related to K\u00e4hler potential are geometrically intrinsic priors to the information manifold of which the geometry is derived from the potential. The implication of the algorithm to time series models is also provided.<\/jats:p>","DOI":"10.3390\/e17031347","type":"journal-article","created":{"date-parts":[[2015,3,17]],"date-time":"2015-03-17T11:04:24Z","timestamp":1426590264000},"page":"1347-1357","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Geometric Shrinkage Priors for K\u00e4hlerian Signal Filters"],"prefix":"10.3390","volume":"17","author":[{"given":"Jaehyung","family":"Choi","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics and Statistics, State University of New York (SUNY), StonyBrook, NY 11794, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew","family":"Mullhaupt","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Statistics, State University of New York (SUNY), StonyBrook, NY 11794, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,3,17]]},"reference":[{"key":"ref_1","unstructured":"Amari, S., and Nagaoka, H. 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(2003). Geometry, Topology and Physics, Institute of Physics Publishing.","DOI":"10.1201\/9781420056945"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/17\/3\/1347\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:43:37Z","timestamp":1760215417000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/17\/3\/1347"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,17]]},"references-count":16,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2015,3]]}},"alternative-id":["e17031347"],"URL":"https:\/\/doi.org\/10.3390\/e17031347","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3,17]]}}}