Approximate Bayesian Computation
Publication Date
January 10, 2013
Journal
PLOS Computational Biology
Authors
Mikael Sunnåker, Alberto Giovanni Busetto, Elina Numminen, Jukka Corander, et al
Volume
9
Issue
1
Pages
e1002803
DOI
https://dx.plos.org/10.1371/journal.pcbi.1002803
Publisher URL
http://journals.plos.org/ploscompbiol/article?id=10.1371%2Fjournal.pcbi.1002803
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/23341757
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3547661
Europe PMC
http://europepmc.org/abstract/MED/23341757
Web of Science
000314595600002
Scopus
84873503481
Mendeley
http://www.mendeley.com/research/approximate-bayesian-computation-4
Events
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In all model-based statistical inference, the likelihood function is of central importance, since it expresses the probability of the observed data under a particular statistical model, and thus quantifies the support data lend to particular values of parameters and to choices among different models. For simple models, an analytical formula for the likelihood function can typically be derived. However, for more complex models, an analytical formula might be elusive or the likelihood function might be computationally very costly to evaluate. ABC methods bypass the evaluation of the likelihood function. In this way, ABC methods widen the realm of models for which statistical inference can be considered. ABC methods are mathematically well-founded, but they inevitably make assumptions and approximations whose impact needs to be carefully assessed. Furthermore, the wider application domain of ABC exacerbates the challenges of parameter estimation and model selection. ABC has rapidly gained popularity over the last years and in particular for the analysis of complex problems arising in biological sciences (e.g., in population genetics, ecology, epidemiology, and systems biology).", "link"=>"http://www.mendeley.com/research/approximate-bayesian-computation-4", "reader_count"=>492, "reader_count_by_academic_status"=>{"Unspecified"=>7, "Professor > Associate Professor"=>27, "Researcher"=>119, "Student > Doctoral Student"=>21, "Student > Ph. D. Student"=>156, "Student > Postgraduate"=>25, "Student > Master"=>68, "Other"=>10, "Student > Bachelor"=>27, "Lecturer"=>10, "Lecturer > Senior Lecturer"=>2, "Professor"=>20}, "reader_count_by_user_role"=>{"Unspecified"=>7, "Professor > Associate Professor"=>27, "Researcher"=>119, "Student > Doctoral Student"=>21, "Student > Ph. D. Student"=>156, "Student > Postgraduate"=>25, "Student > Master"=>68, "Other"=>10, "Student > Bachelor"=>27, "Lecturer"=>10, "Lecturer > Senior Lecturer"=>2, "Professor"=>20}, "reader_count_by_subject_area"=>{"Unspecified"=>24, "Agricultural and Biological Sciences"=>260, "Veterinary Science and Veterinary Medicine"=>1, "Chemical Engineering"=>1, "Chemistry"=>1, "Computer Science"=>43, "Decision Sciences"=>1, "Earth and Planetary Sciences"=>6, "Economics, Econometrics and Finance"=>2, "Energy"=>2, "Engineering"=>24, "Environmental Science"=>10, "Biochemistry, Genetics and Molecular Biology"=>34, "Nursing and Health Professions"=>3, "Mathematics"=>40, "Medicine and Dentistry"=>8, "Neuroscience"=>5, "Physics and Astronomy"=>14, "Psychology"=>5, "Social Sciences"=>6, "Immunology and Microbiology"=>1, "Linguistics"=>1}, "reader_count_by_subdiscipline"=>{"Medicine and Dentistry"=>{"Medicine and Dentistry"=>8}, "Social Sciences"=>{"Social Sciences"=>6}, "Decision Sciences"=>{"Decision Sciences"=>1}, "Physics and Astronomy"=>{"Physics and Astronomy"=>14}, "Psychology"=>{"Psychology"=>5}, "Mathematics"=>{"Mathematics"=>40}, "Unspecified"=>{"Unspecified"=>24}, "Environmental Science"=>{"Environmental Science"=>10}, "Chemical Engineering"=>{"Chemical Engineering"=>1}, "Engineering"=>{"Engineering"=>24}, "Chemistry"=>{"Chemistry"=>1}, "Neuroscience"=>{"Neuroscience"=>5}, "Energy"=>{"Energy"=>2}, "Earth and Planetary Sciences"=>{"Earth and Planetary Sciences"=>6}, "Economics, Econometrics and Finance"=>{"Economics, Econometrics and Finance"=>2}, "Immunology and Microbiology"=>{"Immunology and Microbiology"=>1}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>260}, "Computer Science"=>{"Computer Science"=>43}, "Nursing and Health Professions"=>{"Nursing and Health Professions"=>3}, "Linguistics"=>{"Linguistics"=>1}, "Biochemistry, Genetics and Molecular Biology"=>{"Biochemistry, Genetics and Molecular Biology"=>34}, "Veterinary Science and Veterinary Medicine"=>{"Veterinary Science and Veterinary Medicine"=>1}}, "reader_count_by_country"=>{"United States"=>34, "Japan"=>1, "United Kingdom"=>15, "Switzerland"=>6, "Portugal"=>3, "Canada"=>5, "Austria"=>1, "Czech Republic"=>1, "Netherlands"=>4, "South Korea"=>1, "Sweden"=>1, "Finland"=>1, "Brazil"=>8, "Denmark"=>2, "Italy"=>1, "Slovenia"=>1, "Chile"=>2, "France"=>2, "Australia"=>4, "Germany"=>5}, "group_count"=>12}

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  • {"files"=>["https://ndownloader.figshare.com/files/509233"], "description"=>"<p>The use of the insufficient summary statistic ω introduces a bias, even when requiring ε = 0 (light green).</p>", "links"=>[], "tags"=>["compared", "posterior", "abc", "simulations"], "article_id"=>179726, "categories"=>["Biological Sciences"], "users"=>["Mikael Sunnåker", "Alberto Giovanni Busetto", "Elina Numminen", "Jukka Corander", "Matthieu Foll", "Christophe Dessimoz"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1002803.g003", "stats"=>{"downloads"=>1, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Posterior_of_obtained_in_the_example_red_compared_with_the_true_posterior_distribution_black_and_ABC_simulations_with_large_n_/179726", "title"=>"Posterior of θ obtained in the example (red), compared with the true posterior distribution (black), and ABC simulations with large <i>n</i>.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-01-10 02:42:06"}

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Relative Metric

{"start_date"=>"2013-01-01T00:00:00Z", "end_date"=>"2013-12-31T00:00:00Z", "subject_areas"=>[{"subject_area"=>"/Computer and information sciences", "average_usage"=>[297, 488, 616, 724, 828, 939, 1038, 1127, 1223, 1311, 1393, 1479, 1556]}, {"subject_area"=>"/Computer and information sciences/Computer software", "average_usage"=>[275, 441, 557, 690, 806, 929, 1029, 1117, 1218, 1286, 1349, 1438, 1506]}, {"subject_area"=>"/Physical sciences/Mathematics", "average_usage"=>[259, 431, 541, 639, 727, 816, 898, 980, 1061, 1136, 1214, 1294, 1356]}]}
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