Prepaid parameter estimation without likelihoods.

In various fields, statistical models of interest are analytically intractable and inference is usually performed using a simulation-based method. However elegant these methods are, they are often painstakingly slow and convergence is difficult to assess. As a result, statistical inference is greatl...

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Main Authors: Merijn Mestdagh, Stijn Verdonck, Kristof Meers, Tim Loossens, Francis Tuerlinckx
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2019-09-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1007181
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author Merijn Mestdagh
Stijn Verdonck
Kristof Meers
Tim Loossens
Francis Tuerlinckx
author_facet Merijn Mestdagh
Stijn Verdonck
Kristof Meers
Tim Loossens
Francis Tuerlinckx
author_sort Merijn Mestdagh
collection DOAJ
description In various fields, statistical models of interest are analytically intractable and inference is usually performed using a simulation-based method. However elegant these methods are, they are often painstakingly slow and convergence is difficult to assess. As a result, statistical inference is greatly hampered by computational constraints. However, for a given statistical model, different users, even with different data, are likely to perform similar computations. Computations done by one user are potentially useful for other users with different data sets. We propose a pooling of resources across researchers to capitalize on this. More specifically, we preemptively chart out the entire space of possible model outcomes in a prepaid database. Using advanced interpolation techniques, any individual estimation problem can now be solved on the spot. The prepaid method can easily accommodate different priors as well as constraints on the parameters. We created prepaid databases for three challenging models and demonstrate how they can be distributed through an online parameter estimation service. Our method outperforms state-of-the-art estimation techniques in both speed (with a 23,000 to 100,000-fold speed up) and accuracy, and is able to handle previously quasi inestimable models.
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spelling doaj.art-731981b6f1c641bbb91d854e920ddbb82022-12-21T21:35:25ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582019-09-01159e100718110.1371/journal.pcbi.1007181Prepaid parameter estimation without likelihoods.Merijn MestdaghStijn VerdonckKristof MeersTim LoossensFrancis TuerlinckxIn various fields, statistical models of interest are analytically intractable and inference is usually performed using a simulation-based method. However elegant these methods are, they are often painstakingly slow and convergence is difficult to assess. As a result, statistical inference is greatly hampered by computational constraints. However, for a given statistical model, different users, even with different data, are likely to perform similar computations. Computations done by one user are potentially useful for other users with different data sets. We propose a pooling of resources across researchers to capitalize on this. More specifically, we preemptively chart out the entire space of possible model outcomes in a prepaid database. Using advanced interpolation techniques, any individual estimation problem can now be solved on the spot. The prepaid method can easily accommodate different priors as well as constraints on the parameters. We created prepaid databases for three challenging models and demonstrate how they can be distributed through an online parameter estimation service. Our method outperforms state-of-the-art estimation techniques in both speed (with a 23,000 to 100,000-fold speed up) and accuracy, and is able to handle previously quasi inestimable models.https://doi.org/10.1371/journal.pcbi.1007181
spellingShingle Merijn Mestdagh
Stijn Verdonck
Kristof Meers
Tim Loossens
Francis Tuerlinckx
Prepaid parameter estimation without likelihoods.
PLoS Computational Biology
title Prepaid parameter estimation without likelihoods.
title_full Prepaid parameter estimation without likelihoods.
title_fullStr Prepaid parameter estimation without likelihoods.
title_full_unstemmed Prepaid parameter estimation without likelihoods.
title_short Prepaid parameter estimation without likelihoods.
title_sort prepaid parameter estimation without likelihoods
url https://doi.org/10.1371/journal.pcbi.1007181
work_keys_str_mv AT merijnmestdagh prepaidparameterestimationwithoutlikelihoods
AT stijnverdonck prepaidparameterestimationwithoutlikelihoods
AT kristofmeers prepaidparameterestimationwithoutlikelihoods
AT timloossens prepaidparameterestimationwithoutlikelihoods
AT francistuerlinckx prepaidparameterestimationwithoutlikelihoods