0358653 20240103195059.620110404235959.9 Praha ÚTIA AV ČR, v.v.i 2011 6 s. Research Report 2297 beta mixtures projection Bayesian modelling cav_un_auth*0242543 Dedecius Kamil Adaptivní systémy Department of Adaptive Systems AS AS UTIA-B Department of Adaptive Systems Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2011/AS/dedecius-notes on projection based modelling of beta-distributed weights of a two-component mixture.pdf GA102/08/0567 GA ČR cav_un_auth*0239566 CEZ:AV0Z10750506 This report contains brief notes on estimation of beta-distributed weight of a Gaussian mixture. The results are directly applied in paper Kárný, M.: On approximate Bayesian recursive estimation]. First, we develop a method to update the beta distribution of weights by new data (evidences) and show, that a projection is needed to preserve the low modelling complexity. Then, we show how forgetting may be applied to improve adaptivity. The results can be immediately applied to multicomponent mixtures. 2012 BB 4 O 4o 20231122134518.4 http://hdl.handle.net/11104/0196617 2011 Soubory v repozitáři: 0358653.pdf 2011 Praha ÚTIA AV ČR, v.v.i