Proceedings of the 2nd International Conference on Statistics: Theory and Applications最新文献

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Modelling multiscale collective behavior with Gaussian processes 用高斯过程模拟多尺度集体行为
Nazareno Campioni, D. Husmeier, J. Morales, J. Gaskell, C. Torney
{"title":"Modelling multiscale collective behavior with Gaussian processes","authors":"Nazareno Campioni, D. Husmeier, J. Morales, J. Gaskell, C. Torney","doi":"10.11159/icsta20.124","DOIUrl":"https://doi.org/10.11159/icsta20.124","url":null,"abstract":"Collective behavior is characterized by the emergence of large-scale phenomena from local interactions. It is found in many \u0000contexts, including political movements, fads and fashions, and animal grouping. In this paper, we aim to elucidate the mechanisms that \u0000underlie observed collective behavior by developing a novel mathematical framework based on equation-free modelling procedures and \u0000Gaussian process regression. This allows us to circumvent the possible lack of formal mathematical links between scales and instead use \u0000statistical emulation to learn an empirical Fokker-Planck equation. Our approach advances our ability to understand how complex systems \u0000function at both the individual and collective level when a formal mathematical description of macroscale dynamics is unavailable.","PeriodicalId":302827,"journal":{"name":"Proceedings of the 2nd International Conference on Statistics: Theory and Applications","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114923862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Closed-loop effects in cardiovascular clinical decision support 心血管临床决策支持的闭环效应
D. Husmeier, L. Paun
{"title":"Closed-loop effects in cardiovascular clinical decision support","authors":"D. Husmeier, L. Paun","doi":"10.11159/icsta20.128","DOIUrl":"https://doi.org/10.11159/icsta20.128","url":null,"abstract":"We have recently seen impressive methodological developments in quantitative cardiovascular physiology and pathophysiology, \u0000with novel mathematical models for the mechanical and electrophysiological processes of the heart, and fluid dynamical models to describe \u0000the pressure and flow distribution in the blood vessel network. This allows us to gain deeper insight into the state of a variety of serious \u0000cardiovascular diseases. The majority of recent research studies have focused on the forward problem: developing flexible mathematical \u0000models and robust numerical simulation procedures to match characteristics of physiological target data, and the inverse problem: inferring \u0000model parameters from cardiac physiological data with reliable uncertainty quantification. However, when connecting mathematical model \u0000predictions and statistical inference to the clinical decision process, new challenges arise. This paper briefly discusses the complications \u0000that potentially result from closed-loop effects, and the model extensions that are required to reduce the ensuing bias.","PeriodicalId":302827,"journal":{"name":"Proceedings of the 2nd International Conference on Statistics: Theory and Applications","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114479703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Comparative Evaluation of Different Emulators for Cardiac Mechanics 心脏力学仿真器的比较评价
D. Dalton, Alan Lazarus, D. Husmeier
{"title":"Comparative Evaluation of Different Emulators for Cardiac Mechanics","authors":"D. Dalton, Alan Lazarus, D. Husmeier","doi":"10.11159/icsta20.126","DOIUrl":"https://doi.org/10.11159/icsta20.126","url":null,"abstract":"This paper outlines a comparison of different emulation based approaches to the task of parameter inference in a biomechanical \u0000model of the left ventricle of the heart, where the emulation models can account for variations in left ventricle geometry. Models \u0000considered include Gaussian processes, neural networks and random forests. We are able to achieve accurate parameter estimation for two \u0000of the model parameters, while the extension of statistical emulation to the multi geometry case allows us to observe identifiability issues \u0000in some of the model parameters. This was not observed in our previous single geometry emulation studies. Overall, this study shows the \u0000ability to generalize the single geometry emulation strategy to multiple geometries, pushing us closer towards in clinic decision support \u0000systems.","PeriodicalId":302827,"journal":{"name":"Proceedings of the 2nd International Conference on Statistics: Theory and Applications","volume":"191 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130674893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Approximate Bayesian Inference for Individual-based Models with Emergent Dynamics 具有涌现动力学的基于个体模型的近似贝叶斯推理
J. Gaskell, Nazareno Campioni, J. Morales, D. Husmeier, C. Torney
{"title":"Approximate Bayesian Inference for Individual-based Models with Emergent Dynamics","authors":"J. Gaskell, Nazareno Campioni, J. Morales, D. Husmeier, C. Torney","doi":"10.11159/icsta20.125","DOIUrl":"https://doi.org/10.11159/icsta20.125","url":null,"abstract":"Individual-based models are used in a variety of scientific domains to study systems composed of multiple agents that interact \u0000with one another and lead to complex emergent dynamics at the macroscale. A standard approach in the analysis of these systems is \u0000to specify the microscale interaction rules in a simulation model, run simulations, and then qualitatively compare outputs to empirical \u0000observations. Recently, more robust methods for inference for these types of models have been introduced, notably approximate Bayesian \u0000computation, however major challenges remain due to the computational cost of simulations and the nonlinear nature of many complex \u0000systems. Here, we compare two methods of approximate inference in a classic individual-based model of group dynamics with well-studied \u0000nonlinear macroscale behaviour; we employ a Gaussian process accelerated ABC method with an approximated likelihood and with a \u0000synthetic likelihood. We compare the accuracy of results when re-inferring parameters using a measure of macro-scale disorder (the \u0000order parameter) as a summary statistic. Our findings reveal that for a canonical simple model of animal collective movement, parameter \u0000inference is accurate and computationally efficient, even when the model is poised at the critical transition between order and disorder.","PeriodicalId":302827,"journal":{"name":"Proceedings of the 2nd International Conference on Statistics: Theory and Applications","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122692369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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