Study of Asymptotic Behavior of a Broad Class of Criteria for Data-Driven Best Model Selection

Author(s):  
Volodymyr Stepashko
Heliyon ◽  
2019 ◽  
Vol 5 (11) ◽  
pp. e02718 ◽  
Author(s):  
Juan Sebastian Hernandez ◽  
Carlos Valencia ◽  
Nicolas Ratkovich ◽  
Carlos F. Torres ◽  
Felipe Muñoz

2014 ◽  
Vol 14 (3) ◽  
pp. 393-402 ◽  
Author(s):  
Raffaele Giancarlo ◽  
Giosué Lo Bosco ◽  
Filippo Utro

Author(s):  
Hélène Morlon ◽  
Florian Hartig ◽  
Stéphane Robin

AbstractPhylogenies of extant species are widely used to study past diversification dynamics1. The most common approach is to formulate a set of candidate models representing evolutionary hypotheses for how and why speciation and extinction rates in a clade changed over time, and compare those models through their probability to have generated the corresponding empirical tree. Recently, Louca & Pennell2 reported the existence of an infinite number of ‘congruent’ models with potentially markedly different diversification dynamics, but equal likelihood, for any empirical tree (see also Lambert & Stadler3). Here we explore the implications of these results, and conclude that they neither undermine the hypothesis-driven model selection procedure widely used in the field nor show that speciation and extinction dynamics cannot be investigated from extant timetrees using a data-driven procedure.


2019 ◽  
Author(s):  
James N. Walker ◽  
Andrew J. Black ◽  
Joshua V. Ross

AbstractAn efficient method for Bayesian model selection is presented for a broad class of continuous-time Markov chain models and is subsequently applied to two important problems in epidemiology. The first problem is to identify the shape of the infectious period distribution; the second problem is to determine whether individuals display symptoms before, at the same time, or after they become infectious. In both cases we show that the correct model can be identified, in the majority of cases, from symptom onset data generated from multiple outbreaks in small populations. The method works by evaluating the likelihood using a particle filter that incorporates a novel importance sampling algorithm designed for partially-observed continuous-time Markov chains. This is combined with another importance sampling method to unbiasedly estimate the model evidence. These come with estimates of precision, which allow for stopping criterion to be employed. Our method is general and can be applied to a wide range of model selection problems in biological and epidemiological systems with intractable likelihood functions.


2021 ◽  
Vol 19 (3) ◽  
pp. 1474-1497
Author(s):  
Daniel A. Messenger ◽  
David M. Bortz
Keyword(s):  

2013 ◽  
Vol 07 (01) ◽  
pp. 69-85 ◽  
Author(s):  
MESFIN A. DEMA ◽  
HAMED SARI-SARRAF

Due to overwhelming use of 3D models in video games and virtual environments, there is a growing interest in 3D scene generation, scene understanding and 3D model retrieval. In this paper, we introduce a data-driven 3D scene generation approach from a Maximum Entropy (MaxEnt) model selection perspective. Using this model selection criterion, new scenes can be sampled by matching a set of contextual constraints that are extracted from training and synthesized scenes. Starting from a set of randomly synthesized configurations of objects in 3D, the MaxEnt distribution is iteratively sampled and updated until the constraints between training and synthesized scenes match, indicating the generation of plausible synthesized 3D scenes. To illustrate the proposed methodology, we use 3D training desk scenes that are composed of seven predefined objects with different position, scale and orientation arrangements. After applying the MaxEnt framework, the synthesized scenes show that the proposed strategy can generate reasonably similar scenes to the training examples without any human supervision during sampling.


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