Curve Registration of Functional Data for Approximate Bayesian Computation
Approximate Bayesian computation is a likelihood-free inference method which relies on comparing model realisations to observed data with informative distance measures. We obtain functional data that are not only subject to noise along their y axis but also to a random warping along their x axis, wh...
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| Veröffentlicht in: | Stats (Basel, Switzerland) Jg. 4; H. 3; S. 762 - 775 |
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| Abstract | Approximate Bayesian computation is a likelihood-free inference method which relies on comparing model realisations to observed data with informative distance measures. We obtain functional data that are not only subject to noise along their y axis but also to a random warping along their x axis, which we refer to as the time axis. Conventional distances on functions, such as the L2 distance, are not informative under these conditions. The Fisher–Rao metric, previously generalised from the space of probability distributions to the space of functions, is an ideal objective function for aligning one function to another by warping the time axis. We assess the usefulness of alignment with the Fisher–Rao metric for approximate Bayesian computation with four examples: two simulation examples, an example about passenger flow at an international airport, and an example of hydrological flow modelling. We find that the Fisher–Rao metric works well as the objective function to minimise for alignment; however, once the functions are aligned, it is not necessarily the most informative distance for inference. This means that likelihood-free inference may require two distances: one for alignment and one for parameter inference. |
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| AbstractList | Approximate Bayesian computation is a likelihood-free inference method which relies on comparing model realisations to observed data with informative distance measures. We obtain functional data that are not only subject to noise along their y axis but also to a random warping along their x axis, which we refer to as the time axis. Conventional distances on functions, such as the L2 distance, are not informative under these conditions. The Fisher–Rao metric, previously generalised from the space of probability distributions to the space of functions, is an ideal objective function for aligning one function to another by warping the time axis. We assess the usefulness of alignment with the Fisher–Rao metric for approximate Bayesian computation with four examples: two simulation examples, an example about passenger flow at an international airport, and an example of hydrological flow modelling. We find that the Fisher–Rao metric works well as the objective function to minimise for alignment; however, once the functions are aligned, it is not necessarily the most informative distance for inference. This means that likelihood-free inference may require two distances: one for alignment and one for parameter inference. |
| Author | Ebert, Anthony Mengersen, Kerrie Wu, Paul Ruggeri, Fabrizio |
| Author_xml | – sequence: 1 givenname: Anthony surname: Ebert fullname: Ebert, Anthony – sequence: 2 givenname: Kerrie surname: Mengersen fullname: Mengersen, Kerrie – sequence: 3 givenname: Fabrizio orcidid: 0000-0002-7655-6254 surname: Ruggeri fullname: Ruggeri, Fabrizio – sequence: 4 givenname: Paul surname: Wu fullname: Wu, Paul |
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| Cites_doi | 10.1111/rssc.12258 10.1111/rssb.12312 10.1109/CVPR.2007.383188 10.1002/9781118762547 10.1007/b98888 10.1111/j.1467-9469.2005.00426.x 10.1039/C8CP04043E 10.1007/978-3-319-69416-0 10.2307/2529876 10.1038/nature09319 10.1111/j.1541-0420.2010.01410.x 10.1198/016214508000000517 10.1016/j.ijar.2011.07.006 10.1093/genetics/145.2.505 10.1029/2011WR010643 10.1071/PH590184 10.1214/14-EJS901 10.1016/j.media.2010.10.001 10.1039/C8SM02096E 10.1016/S0022-1694(03)00225-7 10.1214/15-BA957 10.1146/annurev-statistics-041715-033624 10.1214/09-AOS741 10.1080/13241583.2011.11465379 10.1364/AO.40.006130 10.1111/1467-9868.00194 10.1007/978-3-642-39925-1 10.1111/rssc.12487 10.1214/14-EJS865 10.1214/aos/1069362747 10.1007/s11222-014-9507-8 10.2202/1544-6115.1576 10.1109/TASSP.1975.1162641 10.7551/mitpress/7503.001.0001 10.1214/aos/1176350692 10.18637/jss.v095.i05 10.1201/9781315117195 10.1007/978-1-4939-4020-2 10.1029/WS006 10.1016/j.envsoft.2018.07.001 |
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| References | Albert (ref_36) 2015; 25 Wang (ref_28) 2016; 3 Rao (ref_15) 1945; 37 Pigoli (ref_5) 2018; 67 Laird (ref_18) 1982; 38 McInerney (ref_46) 2018; 109 Cherstvy (ref_20) 2019; 15 ref_11 Cabot (ref_4) 2001; 40 ref_32 Wu (ref_6) 2014; 8 ref_30 Perrin (ref_44) 2003; 279 ref_19 Ebert (ref_33) 2021; 70 Gretton (ref_25) 2012; 13 Ebert (ref_40) 2020; 95 Bernton (ref_24) 2019; 81 Padoy (ref_14) 2012; 16 Posener (ref_37) 1959; 12 Delaigle (ref_29) 2010; 38 Wood (ref_22) 2010; 466 Vaze (ref_42) 2011; 14 Marron (ref_12) 2014; 8 Azzalini (ref_38) 2005; 32 Balding (ref_34) 1997; 145 Drov (ref_35) 2011; 67 ref_45 Itakura (ref_10) 1975; 23 Azzalini (ref_39) 1999; 61 Cheng (ref_13) 2016; 11 ref_21 ref_43 Renard (ref_47) 2011; 47 Thapa (ref_1) 2018; 20 ref_41 Kneip (ref_17) 1988; 16 ref_3 ref_2 Maybank (ref_16) 2008; 44 Wang (ref_9) 1997; 25 Nunes (ref_23) 2010; 9 ref_27 ref_26 ref_8 Kneip (ref_7) 2008; 103 Jousselme (ref_31) 2012; 53 |
| References_xml | – volume: 67 start-page: 1103 year: 2018 ident: ref_5 article-title: The statistical analysis of acoustic phonetic data: Exploring differences between spoken Romance languages publication-title: J. R. Stat. Soc. Ser. C Appl. Stat. doi: 10.1111/rssc.12258 – ident: ref_30 – volume: 81 start-page: 235 year: 2019 ident: ref_24 article-title: Approximate Bayesian computation with the Wasserstein distance publication-title: J. R. Stat. Soc. Ser. B doi: 10.1111/rssb.12312 – volume: 37 start-page: 81 year: 1945 ident: ref_15 article-title: Information and the accuracy attainable in the estimation of statistical parameters publication-title: Bull. Calcutta Math. Soc. – ident: ref_11 – ident: ref_26 doi: 10.1109/CVPR.2007.383188 – ident: ref_2 doi: 10.1002/9781118762547 – ident: ref_3 doi: 10.1007/b98888 – volume: 32 start-page: 159 year: 2005 ident: ref_38 article-title: The skew-normal distribution and related multivariate families publication-title: Scand. J. Stat. doi: 10.1111/j.1467-9469.2005.00426.x – volume: 20 start-page: 29018 year: 2018 ident: ref_1 article-title: Bayesian nested sampling analysis of single particle tracking data: Maximum likelihood model selection applied to stochastic diffusivity data publication-title: Phys. Chem. Chem. Phys. doi: 10.1039/C8CP04043E – ident: ref_21 doi: 10.1007/978-3-319-69416-0 – volume: 38 start-page: 963 year: 1982 ident: ref_18 article-title: Random-effects models for longitudinal data publication-title: Biometrics doi: 10.2307/2529876 – volume: 466 start-page: 1102 year: 2010 ident: ref_22 article-title: Statistical inference for noisy nonlinear ecological dynamic systems publication-title: Nature doi: 10.1038/nature09319 – volume: 67 start-page: 225 year: 2011 ident: ref_35 article-title: Estimation of parameters for macroparasite population evolution using approximate Bayesian computation publication-title: Biometrics doi: 10.1111/j.1541-0420.2010.01410.x – volume: 103 start-page: 1155 year: 2008 ident: ref_7 article-title: Combining registration and fitting for functional models publication-title: J. Am. Stat. Assoc. doi: 10.1198/016214508000000517 – volume: 53 start-page: 118 year: 2012 ident: ref_31 article-title: Distances in evidence theory: Comprehensive survey and generalizations publication-title: Int. J. Approx. Reason. doi: 10.1016/j.ijar.2011.07.006 – volume: 145 start-page: 505 year: 1997 ident: ref_34 article-title: Inferring coalescence times from DNA sequence data publication-title: Genetics doi: 10.1093/genetics/145.2.505 – volume: 47 start-page: W11516 year: 2011 ident: ref_47 article-title: Toward a reliable decomposition of predictive uncertainty in hydrological modeling: Characterizing rainfall errors using conditional simulation publication-title: Water Resour. Res. doi: 10.1029/2011WR010643 – volume: 12 start-page: 184 year: 1959 ident: ref_37 article-title: The shape of spectral lines: Tables of the Voigt profile publication-title: Aust. J. Phys. doi: 10.1071/PH590184 – volume: 44 start-page: 255 year: 2008 ident: ref_16 article-title: The Fisher-Rao metric publication-title: Math. Today – volume: 8 start-page: 1697 year: 2014 ident: ref_12 article-title: Statistics of time warpings and phase variations publication-title: Electron. J. Stat. doi: 10.1214/14-EJS901 – volume: 16 start-page: 632 year: 2012 ident: ref_14 article-title: Statistical modeling and recognition of surgical workflow publication-title: Med Image Anal. doi: 10.1016/j.media.2010.10.001 – volume: 15 start-page: 2526 year: 2019 ident: ref_20 article-title: Non-Gaussian, non-ergodic, and non-Fickian diffusion of tracers in mucin hydrogels publication-title: Soft Matter doi: 10.1039/C8SM02096E – volume: 279 start-page: 275 year: 2003 ident: ref_44 article-title: Improvement of a parsimonious model for streamflow simulation publication-title: J. Hydrol. doi: 10.1016/S0022-1694(03)00225-7 – volume: 13 start-page: 723 year: 2012 ident: ref_25 article-title: A kernel two-sample test publication-title: J. Mach. Learn. Res. – volume: 11 start-page: 447 year: 2016 ident: ref_13 article-title: Bayesian registration of functions and curves publication-title: Bayesian Anal. doi: 10.1214/15-BA957 – volume: 3 start-page: 257 year: 2016 ident: ref_28 article-title: Functional data analysis publication-title: Annu. Rev. Stat. Its Appl. doi: 10.1146/annurev-statistics-041715-033624 – volume: 38 start-page: 1171 year: 2010 ident: ref_29 article-title: Defining probability density for a distribution of random functions publication-title: Ann. Stat. doi: 10.1214/09-AOS741 – ident: ref_27 – volume: 14 start-page: 101 year: 2011 ident: ref_42 article-title: Rainfall-runoff modelling across southeast Australia: Datasets, models and results publication-title: Australas. J. Water Resour. doi: 10.1080/13241583.2011.11465379 – volume: 40 start-page: 6130 year: 2001 ident: ref_4 article-title: Method for correcting the wavelength misalignment in measured ultraviolet spectra publication-title: Appl. Opt. doi: 10.1364/AO.40.006130 – volume: 61 start-page: 579 year: 1999 ident: ref_39 article-title: Statistical applications of the multivariate skew normal distribution publication-title: J. R. Stat. Soc. Ser. B doi: 10.1111/1467-9868.00194 – ident: ref_45 doi: 10.1007/978-3-642-39925-1 – volume: 70 start-page: 770 year: 2021 ident: ref_33 article-title: Likelihood-free parameter estimation for dynamic queueing networks: Case study of passenger flow in an international airport terminal publication-title: J. R. Stat. Soc. C doi: 10.1111/rssc.12487 – volume: 8 start-page: 1759 year: 2014 ident: ref_6 article-title: Introduction to neural spike train data for phase-amplitude analysis publication-title: Electron. J. Stat. doi: 10.1214/14-EJS865 – volume: 25 start-page: 1251 year: 1997 ident: ref_9 article-title: Alignment of curves by dynamic time warping publication-title: Ann. Stat. doi: 10.1214/aos/1069362747 – volume: 25 start-page: 1217 year: 2015 ident: ref_36 article-title: A simulated annealing approach to approximate Bayes computations publication-title: Stat. Comput. doi: 10.1007/s11222-014-9507-8 – volume: 9 start-page: 34 year: 2010 ident: ref_23 article-title: On optimal selection of summary statistics for approximate Bayesian computation publication-title: Stat. Appl. Genet. Mol. Biol. doi: 10.2202/1544-6115.1576 – volume: 23 start-page: 67 year: 1975 ident: ref_10 article-title: Minimum prediction residual principle applied to speech recognition publication-title: IEEE Trans. Acoust. Speech, Signal Process. doi: 10.1109/TASSP.1975.1162641 – ident: ref_32 doi: 10.7551/mitpress/7503.001.0001 – volume: 16 start-page: 82 year: 1988 ident: ref_17 article-title: Convergence and consistency results for self-modeling nonlinear regression publication-title: Ann. Stat. doi: 10.1214/aos/1176350692 – volume: 95 start-page: 1 year: 2020 ident: ref_40 article-title: Computationally Efficient Simulation of Queues: The R Package queuecomputer publication-title: J. Stat. Softw. doi: 10.18637/jss.v095.i05 – ident: ref_43 – ident: ref_19 doi: 10.1201/9781315117195 – ident: ref_8 doi: 10.1007/978-1-4939-4020-2 – ident: ref_41 doi: 10.1029/WS006 – volume: 109 start-page: 306 year: 2018 ident: ref_46 article-title: A simplified approach to produce probabilistic hydrological model predictions publication-title: Environ. Model. Softw. doi: 10.1016/j.envsoft.2018.07.001 |
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| SubjectTerms | approximate Bayesian computation curve registration Data analysis Fisher–Rao metric functional data hydrological flow likelihood-free inference Mathematical functions Random variables Registration Simulation Spectrum analysis |
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| Title | Curve Registration of Functional Data for Approximate Bayesian Computation |
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