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Markov chain Monte Carlo (MCMC) provides a feasible method for inferring Hidden Markov models, however, it is often computationally prohibitive, especially constrained by the curse of dimensionality, as the Monte Carlo sampler traverses…

Artificial Intelligence · Computer Science 2023-09-13 Xiongming Dai , Gerald Baumgartner

Modeling the dynamics of a quantum system connected to the environment is critical for advancing our understanding of complex quantum processes, as most quantum processes in nature are affected by an environment. Modeling a macroscopic…

Recently, Andrieu, Doucet and Holenstein (2010) introduced a general framework for using particle filters (PFs) to construct proposal kernels for Markov chain Monte Carlo (MCMC) methods. This framework, termed Particle Markov chain Monte…

Computation · Statistics 2012-03-14 Fredrik Lindsten , Thomas B. Schön

Monte Carlo methods are essential tools for Bayesian inference. Gibbs sampling is a well-known Markov chain Monte Carlo (MCMC) algorithm, extensively used in signal processing, machine learning, and statistics, employed to draw samples from…

Computation · Statistics 2017-12-21 Luca Martino , Victor Elvira , Gustau Camps-Valls

Quantum algorithms present a quadratically improved complexity over classical ones for certain sampling tasks. For instance, the Quantum Amplitude Estimation (QAE) algorithm promises to speedup the estimation of the mean of certain…

Quantum Physics · Physics 2026-03-13 Baptiste Claudon , Sergi Ramos-Calderer , Jean-Philip Piquemal

Models implicitly defined through a random simulator of a process have become widely used in scientific and industrial applications in recent years. However, simulation-based inference methods for such implicit models, like approximate…

Methodology · Statistics 2025-04-17 Joonha Park

The Markov chain Monte Carlo method is a versatile tool in statistical physics to evaluate multi-dimensional integrals numerically. For the method to work effectively, we must consider the following key issues: the choice of ensemble, the…

Statistical Mechanics · Physics 2014-01-07 Synge Todo , Hidemaro Suwa

We present a measurement of neutrino oscillations via atmospheric muon neutrino disappearance with three years of data of the completed IceCube neutrino detector. DeepCore, a region of denser instrumentation, enables the detection and…

High Energy Physics - Experiment · Physics 2015-04-16 IceCube Collaboration , M. G. Aartsen , M. Ackermann , J. Adams , J. A. Aguilar , M. Ahlers , M. Ahrens , D. Altmann , T. Anderson , C. Arguelles , T. C. Arlen , J. Auffenberg , X. Bai , S. W. Barwick , V. Baum , R. Bay , J. J. Beatty , J. Becker Tjus , K. -H. Becker , S. BenZvi , P. Berghaus , D. Berley , E. Bernardini , A. Bernhard , D. Z. Besson , G. Binder , D. Bindig , M. Bissok , E. Blaufuss , J. Blumenthal , D. J. Boersma , C. Bohm , F. Bos , D. Bose , S. Böser , O. Botner , L. Brayeur , H. -P. Bretz , A. M. Brown , J. Brunner , N. Buzinsky , J. Casey , M. Casier , E. Cheung , D. Chirkin , A. Christov , B. Christy , K. Clark , L. Classen , F. Clevermann , S. Coenders , D. F. Cowen , A. H. Cruz Silva , J. Daughhetee , J. C. Davis , M. Day , J. P. A. M. de André , C. De Clercq , S. De Ridder , P. Desiati , K. D. de Vries , M. de With , T. DeYoung , J. C. Díaz-Vélez , M. Dunkman , R. Eagan , B. Eberhardt , B. Eichmann , J. Eisch , S. Euler , P. A. Evenson , O. Fadiran , A. R. Fazely , A. Fedynitch , J. Feintzeig , J. Felde , T. Feusels , K. Filimonov , C. Finley , T. Fischer-Wasels , S. Flis , A. Franckowiak , K. Frantzen , T. Fuchs , T. K. Gaisser , R. Gaior , J. Gallagher , L. Gerhardt , D. Gier , L. Gladstone , T. Glüsenkamp , A. Goldschmidt , G. Golup , J. G. Gonzalez , J. A. Goodman , D. Góra , D. Grant , P. Gretskov , J. C. Groh , A. Groß , C. Ha , C. Haack , A. Haj Ismail , P. Hallen , A. Hallgren , F. Halzen , K. Hanson , D. Hebecker , D. Heereman , D. Heinen , K. Helbing , R. Hellauer , D. Hellwig , S. Hickford , G. C. Hill , K. D. Hoffman , R. Hoffmann , A. Homeier , K. Hoshina , F. Huang , W. Huelsnitz , P. O. Hulth , K. Hultqvist , S. Hussain , A. Ishihara , E. Jacobi , J. Jacobsen , G. S. Japaridze , K. Jero , O. Jlelati , M. Jurkovic , B. Kaminsky , A. Kappes , T. Karg , A. Karle , M. Kauer , A. Keivani , J. L. Kelley , A. Kheirandish , J. Kiryluk , J. Kläs , S. R. Klein , J. -H. Köhne , G. Kohnen , H. Kolanoski , A. Koob , L. Köpke , C. Kopper , S. Kopper , D. J. Koskinen , M. Kowalski , A. Kriesten , K. Krings , G. Kroll , M. Kroll , J. Kunnen , N. Kurahashi , T. Kuwabara , M. Labare , J. L. Lanfranchi , D. T. Larsen , M. J. Larson , M. Lesiak-Bzdak , M. Leuermann , J. Lünemann , J. Madsen , G. Maggi , R. Maruyama , K. Mase , H. S. Matis , R. Maunu , F. McNally , K. Meagher , M. Medici , A. Meli , T. Meures , S. Miarecki , E. Middell , E. Middlemas , N. Milke , J. Miller , L. Mohrmann , T. Montaruli , R. Morse , R. Nahnhauer , U. Naumann , H. Niederhausen , S. C. Nowicki , D. R. Nygren , A. Obertacke , S. Odrowski , A. Olivas , A. Omairat , A. O'Murchadha , T. Palczewski , L. Paul , Ö. Penek , J. A. Pepper , C. Pérez de los Heros , C. Pfendner , D. Pieloth , E. Pinat , J. Posselt , P. B. Price , G. T. Przybylski , J. Pütz , M. Quinnan , L. Rädel , M. Rameez , K. Rawlins , P. Redl , I. Rees , R. Reimann , M. Relich , E. Resconi , W. Rhode , M. Richman , B. Riedel , S. Robertson , J. P. Rodrigues , M. Rongen , C. Rott , T. Ruhe , B. Ruzybayev , D. Ryckbosch , S. M. Saba , H. -G. Sander , J. Sandroos , M. Santander , S. Sarkar , K. Schatto , F. Scheriau , T. Schmidt , M. Schmitz , S. Schoenen , S. Schöneberg , A. Schönwald , A. Schukraft , L. Schulte , O. Schulz , D. Seckel , Y. Sestayo , S. Seunarine , R. Shanidze , M. W. E. Smith , D. Soldin , G. M. Spiczak , C. Spiering , M. Stamatikos , T. Stanev , N. A. Stanisha , A. Stasik , T. Stezelberger , R. G. Stokstad , A. Stößl , E. A. Strahler , R. Ström , N. L. Strotjohann , G. W. Sullivan , H. Taavola , I. Taboada , A. Tamburro , A. Tepe , S. Ter-Antonyan , A. Terliuk , G. Tešić , S. Tilav , P. A. Toale , M. N. Tobin , D. Tosi , M. Tselengidou , E. Unger , M. Usner , S. Vallecorsa , N. van Eijndhoven , J. Vandenbroucke , J. van Santen , M. Vehring , M. Voge , M. Vraeghe , C. Walck , M. Wallraff , Ch. Weaver , M. Wellons , C. Wendt , S. Westerhoff , B. J. Whelan , N. Whitehorn , C. Wichary , K. Wiebe , C. H. Wiebusch , D. R. Williams , H. Wissing , M. Wolf , T. R. Wood , K. Woschnagg , D. L. Xu , X. W. Xu , J. P. Yanez , G. Yodh , S. Yoshida , P. Zarzhitsky , J. Ziemann , M. Zoll

The IceCube Neutrino Observatory has observed a sample of high purity, primarily atmospheric, muon neutrino events over 11 years from all directions below the horizon, spanning the energy range 500 GeV to 100 TeV. While this sample was…

High Energy Astrophysical Phenomena · Physics 2025-07-21 Alex Wen

We present an updated version of the SimProp Monte Carlo code: a simulation scheme to study the propagation of ultra-high-energy cosmic rays through diffuse extragalactic background radiation. The new version of the code presents two…

High Energy Astrophysical Phenomena · Physics 2015-05-07 R. Aloisio , D. Boncioli , A. di Matteo , A. F. Grillo , S. Petrera , F. Salamida

Monte Carlo sampling is a powerful toolbox of algorithmic techniques widely used for a number of applications wherein some noisy quantity, or summary statistic thereof, is sought to be estimated. In this paper, we survey the literature for…

The IceCube South Pole Neutrino Observatory is a Cherenkov detector instrumented in a cubic kilometer of ice at the South Pole. IceCube's primary scientific goal is the detection of TeV neutrino emissions from astrophysical sources. At the…

High Energy Physics - Experiment · Physics 2023-08-01 Shiqi Yu , Jessie Micallef

Neutrino oscillation experiments will be entering the precision era in the next decade with the advent of high statistics experiments like DUNE, HK, and JUNO. Correctly estimating the confidence intervals from data for the oscillation…

High Energy Physics - Phenomenology · Physics 2024-10-15 Peter B. Denton , Stephen J. Parke

We present an open-source software package, Vegas, for the atomistic simulation of magnetic materials. Using the classical Heisenberg model and the Monte Carlo Metropolis algorithm, Vegas provides the required tools to simulate and analyze…

Computational Physics · Physics 2018-10-10 J. D. Alzate-Cardona , D. Sabogal-Suárez , O. D. Arbeláez-Echeverri , E. Restrepo-Parra

We present a measurement of the atmospheric neutrino oscillation parameters using three years of data from the IceCube Neutrino Observatory. The DeepCore infill array in the center of IceCube enables detection and reconstruction of…

High Energy Physics - Experiment · Physics 2018-02-14 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 , J. Auffenberg , S. Axani , H. Bagherpour , X. Bai , J. P. Barron , 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. Börner , F. Bos , D. Bose , S. Böser , O. Botner , J. Bourbeau , F. Bradascio , J. Braun , L. Brayeur , M. Brenzke , H. -P. Bretz , S. Bron , J. Brostean-Kaiser , A. Burgman , T. Carver , J. Casey , M. Casier , E. Cheung , D. Chirkin , A. Christov , K. Clark , L. Classen , S. Coenders , G. H. Collin , J. M. Conrad , D. F. Cowen , R. Cross , 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 , B. Eberhardt , T. Ehrhardt , B. Eichmann , P. Eller , P. A. Evenson , S. Fahey , A. R. Fazely , J. Felde , K. Filimonov , C. Finley , S. Flis , A. Franckowiak , E. Friedman , T. Fuchs , T. K. Gaisser , J. Gallagher , L. Gerhardt , 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 , D. Hebecker , D. Heereman , K. Helbing , R. Hellauer , S. Hickford , J. Hignight , G. C. Hill , K. D. Hoffman , R. Hoffmann , B. Hokanson-Fasig , K. Hoshina , F. Huang , M. Huber , K. Hultqvist , M. Hünnefeld , S. In , A. Ishihara , E. Jacobi , G. S. Japaridze , M. Jeong , K. Jero , B. J. P. Jones , P. Kalaczynski , W. Kang , A. Kappes , T. Karg , A. Karle , U. Katz , M. Kauer , A. Keivani , J. L. Kelley , A. Kheirandish , J. Kim , M. Kim , T. Kintscher , J. Kiryluk , T. Kittler , S. R. Klein , G. Kohnen , R. Koirala , H. Kolanoski , L. Köpke , C. Kopper , S. Kopper , J. P. Koschinsky , D. J. Koskinen , M. Kowalski , K. Krings , M. Kroll , G. Krückl , J. Kunnen , S. Kunwar , N. Kurahashi , T. Kuwabara , A. Kyriacou , M. Labare , J. L. Lanfranchi , M. J. Larson , F. Lauber , D. Lennarz , M. Lesiak-Bzdak , M. Leuermann , Q. R. Liu , L. Lu , J. Lünemann , W. Luszczak , J. Madsen , G. Maggi , K. B. M. Mahn , S. Mancina , R. Maruyama , K. Mase , R. Maunu , F. McNally , 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 , A. Olivas , A. O'Murchadha , T. Palczewski , H. Pandya , D. V. Pankova , P. Peiffer , J. A. Pepper , C. Pérez de los Heros , D. Pieloth , E. Pinat , M. Plum , P. B. Price , G. T. Przybylski , C. Raab , L. Rädel , M. Rameez , K. Rawlins , I. C. Rea , R. Reimann , B. Relethford , M. Relich , E. Resconi , W. Rhode , M. Richman , S. Robertson , M. Rongen , C. Rott , T. Ruhe , D. Ryckbosch , D. Rysewyk , T. Sälzer , S. E. Sanchez Herrera , A. Sandrock , J. Sandroos , S. Sarkar , S. Sarkar , K. Satalecka , P. Schlunder , T. Schmidt , A. Schneider , S. Schoenen , S. Schöneberg , L. Schumacher , D. Seckel , S. Seunarine , J. Soedingrekso , D. Soldin , M. Song , G. M. Spiczak , C. Spiering , J. Stachurska , M. Stamatikos , T. Stanev , A. Stasik , J. Stettner , A. Steuer , T. Stezelberger , R. G. Stokstad , A. Stößl , N. L. Strotjohann , G. W. Sullivan , M. Sutherland , I. Taboada , J. Tatar , F. Tenholt , S. Ter-Antonyan , A. Terliuk , G. Tešić , S. Tilav , P. A. Toale , M. N. Tobin , 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 , N. van Eijndhoven , S. Vanheule , J. van Santen , M. Vehring , E. Vogel , M. Vraeghe , C. Walck , A. Wallace , M. Wallraff , F. D. Wandler , N. Wandkowsky , A. Waza , C. Weaver , 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 , D. L. Xu , X. W. Xu , Y. Xu , J. P. Yanez , G. Yodh , S. Yoshida , T. Yuan , M. Zoll

Since its first description fifty years ago, the Metropolis Monte Carlo method has been used in a variety of different ways for the simulation of continuum quantum many-body systems. This paper will consider some of the generalizations of…

Computational Physics · Physics 2009-11-10 D. M. Ceperley

At the KATRIN experiment, the electron antineutrino mass is inferred from the shape of the $\beta$-decay spectrum of tritium. Important systematic effects in the Windowless Gaseous Tritium Source (WGTS) of the experiment include the energy…

Instrumentation and Methods for Astrophysics · Physics 2022-10-05 Jonas Kellerer , Felix Spanier

We devise a Monte Carlo based method for detecting whether a non-negative Markov chain is stable for a given set of parameter values. More precisely, for a given subset of the parameter space, we develop an algorithm that is capable of…

Probability · Mathematics 2016-08-11 Michel Mandjes , Brendan Patch , Neil Walton

The widespread popularity of replica exchange and expanded ensemble algorithms for simulating complex molecular systems in chemistry and biophysics has generated much interest in enhancing phase space mixing of these protocols, thus…

Statistical Mechanics · Physics 2011-12-06 John D. Chodera , Michael R. Shirts

Monte Carlo simulation code has been developed and tested for studying the passage of charged particle beams and radiation through the crystalline matter at energies from tens of MeV up to hundreds of GeV. The developed Monte Carlo code…

Computational Physics · Physics 2007-05-23 Armen Apyan