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Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely employed for large-scale estimation tasks in disciplines such as…

Numerical Analysis · Mathematics 2024-05-24 Iris Rammelmüller , Gottfried Hastermann , Jana de Wiljes

State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

Methodology · Statistics 2016-12-16 Bin Liu

Microbes are everywhere, including in and on our bodies, and have been shown to play key roles in a variety of prevalent human diseases. Consequently, there has been intense interest in the design of bacteriotherapies or "bugs as drugs,"…

Machine Learning · Statistics 2020-04-13 Travis E. Gibson , Georg K. Gerber

The robust estimation of dynamically changing features, such as the position of prey, is one of the hallmarks of perception. On an abstract, algorithmic level, nonlinear Bayesian filtering, i.e. the estimation of temporally changing signals…

Neurons and Cognition · Quantitative Biology 2022-01-05 Anna Kutschireiter , Simone Carlo Surace , Henning Sprekeler , Jean-Pascal Pfister

Information inflow into a computational system is by a sequence of information items. Cognitive computing, i.e. performing transformations along that sequence, requires to represent item information as well as sequential information. Among…

Neural and Evolutionary Computing · Computer Science 2022-02-18 Stefan Reimann

This paper focuses on the estimation of partially observed branching processes. First, the estimators from a frequentist perspective proposed in the literature are reviewed. The main objective of this paper is to present computational tools…

Computation · Statistics 2026-05-21 Miguel González , Inés M. del Puerto , Manuel Serrano-Pastor

Parametric empirical Bayes (EB) estimators have been widely used in variety of fields including small area estimation, disease mapping. Since EB estimator is constructed by plugging in the estimator of parameters in prior distributions, it…

Methodology · Statistics 2017-04-28 Shonosuke Sugasawa

Despite the widespread usage of discrete generation Ensemble Kalman particle filtering methodology to solve nonlinear and high dimensional filtering and inverse problems, little is known about their mathematical foundations. As genetic-type…

Probability · Mathematics 2021-07-06 Pierre del Moral , Emma Horton

Reducing outcome variance is an essential task in deep learning based medical image analysis. Bootstrap aggregating, also known as bagging, is a canonical ensemble algorithm for aggregating weak learners to become a strong learner. Random…

Computer Vision and Pattern Recognition · Computer Science 2021-02-19 Xing Li , Haichun Yang , Jiaxin He , Aadarsh Jha , Agnes B. Fogo , Lee E. Wheless , Shilin Zhao , Yuankai Huo

In simulation-based inferences for partially observed Markov process models (POMP), the by-product of the Monte Carlo filtering is an approximation of the log likelihood function. Recently, iterated filtering [14, 13] has originally been…

Methodology · Statistics 2018-02-26 Dao Nguyen

The human body consists of microbiomes associated with the development and prevention of several diseases. These microbial organisms form several complex interactions that are informative to the scientific community for explaining disease…

Methodology · Statistics 2024-04-16 Tejasv Bedi , Bencong Zhu , Michael L. Neugent , Kevin C. Lutz , Nicole J. De Nisco , Qiwei Li

We consider situations where the applicability of sequential Monte Carlo particle filters is compromised due to the expensive evaluation of the particle weights. To alleviate this problem, we propose a new particle filter algorithm based on…

Computation · Statistics 2022-01-24 Kari Heine , Daniel Burrows

Network inference has been extensively studied in several fields, such as systems biology and social sciences. Learning network topology and internal dynamics is essential to understand mechanisms of complex systems. In particular, sparse…

Machine Learning · Statistics 2022-06-13 Yasen Wang , Junyang Jin , Jorge Goncalves

Particle filters for data assimilation in nonlinear problems use "particles" (replicas of the underlying system) to generate a sequence of probability density functions (pdfs) through a Bayesian process. This can be expensive because a…

Numerical Analysis · Mathematics 2009-05-15 Alexandre J. Chorin , Xuemin Tu

Real-time nonlinear Bayesian filtering algorithms are overwhelmed by data volume, velocity and increasing complexity of computational models. In this paper, we propose a novel ensemble based nonlinear Bayesian filtering approach which only…

Computation · Statistics 2019-06-05 Xiao Lin , Gabriel Terejanu

Data assimilation combines information from models, measurements, and priors to estimate the state of a dynamical system such as the atmosphere. The Ensemble Kalman filter (EnKF) is a family of ensemble-based data assimilation approaches…

Computational Engineering, Finance, and Science · Computer Science 2014-12-09 Ahmed Attia , Adrian Sandu

The current and upcoming generation of Very Large Volume Neutrino Telescopes---collecting unprecedented quantities of neutrino events---can be used to explore subtle effects in oscillation physics, such as (but not restricted to) the…

Data Analysis, Statistics and Probability · Physics 2019-12-05 IceCube Collaboration , M. G. Aartsen , M. Ackermann , J. Adams , J. A. Aguilar , M. Ahlers , M. Ahrens , I. Al Samarai , D. Altmann , K. Andeen , T. Anderson , I. Ansseau , G. Anton , C. Argüelles , T. C. Arlen , J. Auffenberg , S. Axani , H. Bagherpour , X. Bai , A. Balagopal V. , J. P. Barron , I. Bartos , S. W. Barwick , V. Baum , R. Bay , J. J. Beatty , J. Becker Tjus , K. -H. Becker , S. BenZvi , D. Berley , E. Bernardini , D. Z. Besson , G. Binder , D. Bindig , E. Blaufuss , S. Blot , C. Bohm , M. Bohmer , M. Börner , F. Bos , S. Böser , O. Botner , E. Bourbeau , J. Bourbeau , F. Bradascio , J. Braun , M. Brenzke , H. -P. Bretz , S. Bron , J. Brostean-Kaiser , A. Burgman , R. S. Busse , T. Carver , E. Cheung , D. Chirkin , A. Christov , K. Clark , L. Classen , G. H. Collin , J. M. Conrad , P. Coppin , P. Correa , D. F. Cowen , R. Cross , P. Dave , M. Day , J. P. A. M. de André , C. De Clercq , J. J. DeLaunay , H. Dembinski , S. De Ridder , P. Desiati , K. D. de Vries , G. de Wasseige , M. de With , T. DeYoung , J. C. Díaz-Vélez , V. di Lorenzo , H. Dujmovic , J. P. Dumm , M. Dunkman , M. A. DuVernois , E. Dvorak , B. Eberhardt , T. Ehrhardt , B. Eichmann , P. Eller , R. Engel , J. J. Evans , P. A. Evenson , S. Fahey , A. R. Fazely , J. Felde , K. Filimonov , C. Finley , S. Flis , A. Franckowiak , E. Friedman , A. Fritz , T. K. Gaisser , J. Gallagher , A. Gartner , L. Gerhardt , R. Gernhaeuser , K. Ghorbani , W. Giang , T. Glauch , T. Glüsenkamp , A. Goldschmidt , J. G. Gonzalez , D. Grant , Z. Griffith , C. Haack , A. Hallgren , F. Halzen , K. Hanson , J. Haugen , A. Haungs , D. Hebecker , D. Heereman , K. Helbing , R. Hellauer , F. Henningsen , S. Hickford , J. Hignight , G. C. Hill , K. D. Hoffman , B. Hoffmann , R. Hoffmann , T. Hoinka , B. Hokanson-Fasig , K. Holzapfel , K. Hoshina , F. Huang , M. Huber , T. Huber , T. Huege , K. Hultqvist , M. Hünnefeld , R. Hussain , S. In , N. Iovine , A. Ishihara , E. Jacobi , G. S. Japaridze , M. Jeong , K. Jero , B. J. P. Jones , P. Kalaczynski , O. Kalekin , W. Kang , D. Kang , A. Kappes , D. Kappesser , T. Karg , A. Karle , T. Katori , U. Katz , M. Kauer , A. Keivani , J. L. Kelley , A. Kheirandish , J. Kim , M. Kim , T. Kintscher , J. Kiryluk , T. Kittler , S. R. Klein , R. Koirala , H. Kolanoski , L. Köpke , C. Kopper , S. Kopper , J. P. Koschinsky , D. J. Koskinen , M. Kowalski , C. B. Krauss , K. Krings , M. Kroll , G. Krückl , S. Kunwar , N. Kurahashi , T. Kuwabara , A. Kyriacou , M. Labare , J. L. Lanfranchi , M. J. Larson , F. Lauber , D. Lennarz , K. Leonard , M. Lesiak-Bzdak , A. Leszczynska , M. Leuermann , Q. R. Liu , E. Lohfink , J. LoSecco , C. J. Lozano Mariscal , L. Lu , J. Lünemann , W. Luszczak , J. Madsen , G. Maggi , K. B. M. Mahn , S. Mancina , S. Mandalia , S. Marka , Z. Marka , R. Maruyama , K. Mase , R. Maunu , K. Meagher , M. Medici , M. Meier , T. Menne , G. Merino , T. Meures , S. Miarecki , J. Micallef , G. Momenté , T. Montaruli , R. W. Moore , M. Moulai , R. Nahnhauer , P. Nakarmi , U. Naumann , G. Neer , H. Niederhausen , S. C. Nowicki , D. R. Nygren , A. Obertacke Pollmann , M. Oehler , A. Olivas , A. O'Murchadha , E. O'Sullivan , A. Palazzo , T. Palczewski , H. Pandya , D. V. Pankova , L. Papp , P. Peiffer , J. A. Pepper , C. Pérez de los Heros , T. C. Petersen , D. Pieloth , E. Pinat , J. L. Pinfold , M. Plum , P. B. Price , G. T. Przybylski , C. Raab , L. Rädel , M. Rameez , L. Rauch , K. Rawlins , I. C. Rea , R. Reimann , B. Relethford , M. Relich , M. Renschler , E. Resconi , W. Rhode , M. Richman , M. Riegel , S. Robertson , M. Rongen , C. Rott , T. Ruhe , D. Ryckbosch , D. Rysewyk , I. Safa , T. Sälzer , S. E. Sanchez Herrera , A. Sandrock , J. Sandroos , P. Sandstrom , M. Santander , S. Sarkar , S. Sarkar , K. Satalecka , H. Schieler , P. Schlunder , T. Schmidt , A. Schneider , S. Schoenen , S. Schöneberg , F. G. Schröder , L. Schumacher , S. Sclafani , D. Seckel , S. Seunarine , M. H. Shaevitz , J. Soedingrekso , D. Soldin , S. Söldner-Rembold , M. Song , G. M. Spiczak , C. Spiering , J. Stachurska , M. Stamatikos , T. Stanev , A. Stasik , R. Stein , J. Stettner , A. Steuer , T. Stezelberger , R. G. Stokstad , A. Stößl , N. L. Strotjohann , T. Stuttard , G. W. Sullivan , M. Sutherland , I. Taboada , A. Taketa , H. K. M. Tanaka , J. Tatar , F. Tenholt , S. Ter-Antonyan , A. Terliuk , S. Tilav , P. A. Toale , M. N. Tobin , C. Tönnis , S. Toscano , D. Tosi , M. Tselengidou , C. F. Tung , A. Turcati , C. F. Turley , B. Ty , E. Unger , M. Usner , J. Vandenbroucke , W. Van Driessche , D. van Eijk , N. van Eijndhoven , S. Vanheule , J. van Santen , D. Veberic , E. Vogel , M. Vraeghe , C. Walck , A. Wallace , M. Wallraff , F. D. Wandler , N. Wandkowsky , A. Waza , C. Weaver , A. Weindl , M. J. Weiss , C. Wendt , J. Werthebach , S. Westerhoff , B. J. Whelan , K. Wiebe , C. H. Wiebusch , L. Wille , D. R. Williams , L. Wills , M. Wolf , J. Wood , T. R. Wood , E. Woolsey , K. Woschnagg , G. Wrede , S. Wren , D. L. Xu , X. W. Xu , Y. Xu , J. P. Yanez , G. Yodh , S. Yoshida , T. Yuan

We present the Bayesian consensus filter (BCF) for tracking a moving target using a networked group of sensing agents and achieving consensus on the best estimate of the probability distributions of the target's states. Our BCF framework…

Optimization and Control · Mathematics 2016-10-14 Saptarshi Bandyopadhyay , Soon-Jo Chung

In this paper, we aim to propose a consistent non-Gaussian Bayesian filter of which the system state is a continuous function. The distributions of the true system states, and those of the system and observation noises, are only assumed…

Optimization and Control · Mathematics 2024-04-09 Guangyu Wu , Anders Lindquist

In this work, we propose an original method for aggregating multiple clustering coming from different sources of information. Each partition is encoded by a co-membership matrix between observations. Our approach uses a mixture of…

Machine Learning · Computer Science 2024-01-10 Kylliann De Santiago , Marie Szafranski , Christophe Ambroise
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