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This position paper summarizes a recently developed research program focused on inference in the context of data centric science and engineering applications, and forecasts its trajectory forward over the next decade. Often one endeavours…

Computation · Statistics 2021-12-06 Ajay Jasra , Kody J. H. Law , Alexander Tarakanov , Fangyuan Yu

In this article we consider Bayesian estimation of static parameters for a class of partially observed McKean-Vlasov diffusion processes with discrete-time observations over a fixed time interval. This problem features several obstacles to…

Computation · Statistics 2025-04-23 Ajay Jasra , Amin Wu

Bayesian neural learning feature a rigorous approach to estimation and uncertainty quantification via the posterior distribution of weights that represent knowledge of the neural network. This not only provides point estimates of optimal…

Machine Learning · Computer Science 2018-11-13 Rohitash Chandra , Konark Jain , Ratneel V. Deo , Sally Cripps

This work considers the problem of sampling from a probability distribution known up to a normalization constant while satisfying a set of statistical constraints specified by the expected values of general nonlinear functions. This problem…

Machine Learning · Statistics 2025-01-08 Luiz F. O. Chamon , Mohammad Reza Karimi , Anna Korba

Physics beyond the Standard Model (BSM) may be unveiled by studying events with a high number of outgoing jets, produced at the LHC with energies above the TeV scale (energetic multi-jet events). Such events are dominated by QCD processes,…

High Energy Physics - Phenomenology · Physics 2021-02-03 Daniel Turgeman , Michael Pitt , Itamar Roth , Ehud Duchovni

This paper concerns the use of Markov chain Monte Carlo methods for posterior sampling in Bayesian nonparametric mixture models with normalized random measure priors. Making use of some recent posterior characterizations for the class of…

Methodology · Statistics 2013-10-03 Stefano Favaro , Yee Whye Teh

It is anticipated that a number of techniques to measure the top quark mass at the LHC will yield m_top with uncertainties of about 0.5-1 percent. These uncertainties are mostly theoretical; they are usually estimated using parton shower…

High Energy Physics - Phenomenology · Physics 2014-11-21 Sandip Biswas , Kirill Melnikov , Markus Schulze

Mendelian Randomization (MR) is a popular method in epidemiology and genetics that uses genetic variation as instrumental variables for causal inference. Existing MR methods usually assume most genetic variants are valid instrumental…

Applications · Statistics 2022-06-15 Daniel Iong , Qingyuan Zhao , Yang Chen

We propose sequential Monte Carlo (SMC) methods for sampling the posterior distribution of state-space models under highly informative observation regimes, a situation in which standard SMC methods can perform poorly. A special case is…

Computation · Statistics 2015-07-10 Pierre Del Moral , Lawrence M. Murray

In this article we consider the approximation of expectations w.r.t. probability distributions associated to the solution of partial differential equations (PDEs); this scenario appears routinely in Bayesian inverse problems. In practice,…

Computation · Statistics 2017-02-07 Alexandros Beskos , Ajay Jasra , Kody Law , Raul Tempone , Yan Zhou

We propose a sequential Monte Carlo (SMC) method to efficiently and accurately compute cut-Bayesian posterior quantities of interest, variations of standard Bayesian approaches constructed primarily to account for model misspecification. We…

Computation · Statistics 2024-11-13 Joseph Mathews , Giri Gopalan , James Gattiker , Sean Smith , Devin Francom

We propose a multilevel Markov chain Monte Carlo (MCMC) method for the Bayesian inference of random field parameters in PDEs using high-resolution data. Compared to existing multilevel MCMC methods, we additionally consider level-dependent…

Numerical Analysis · Mathematics 2025-08-19 Pieter Vanmechelen , Geert Lombaert , Giovanni Samaey

We propose a Bayesian approach to joint source separation and restoration for astrophysical diffuse sources. We constitute a prior statistical model for the source images by using their gradient maps. We assume a t-distribution for the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 K. Kayabol , J. L. Sanz , D. Herranz , E. E. Kuruoglu , E. Salerno

Driven by the critical needs of biomanufacturing 4.0, we introduce a probabilistic knowledge graph hybrid model characterizing the risk- and science-based understanding of bioprocess mechanisms. It can faithfully capture the important…

Machine Learning · Statistics 2022-10-03 Wei Xie , Keqi Wang , Hua Zheng , Ben Feng

In particle physics, Monte Carlo (MC) event generators are needed to compare theory to the measured data. Many MC samples have to be generated to account for theoretical systematic uncertainties, at a significant computational cost.…

High Energy Physics - Experiment · Physics 2023-12-04 Valentina Guglielmi

Bayesian inference in hidden Markov models (HMMs) can be challenging due to the presence of multimodality in the likelihood function, and consequently in the joint posterior distribution, even after correcting for label switching. The…

Applications · Statistics 2026-05-01 Marco A. Gallegos-Herrada , Vianey Leos-Barajas , Jeffrey S. Rosenthal

Bayesian methods provide an elegant framework for estimating parameter posteriors and quantification of uncertainty associated with probabilistic models. However, they often suffer from slow inference times. To address this challenge,…

Machine Learning · Computer Science 2024-05-10 Piyush Tiwary , Kumar Shubham , Vivek V. Kashyap , Prathosh A. P

In this paper we present a practical Bayesian self-supervised learning method with Cyclical Stochastic Gradient Hamiltonian Monte Carlo (cSGHMC). Within this framework, we place a prior over the parameters of a self-supervised learning…

Machine Learning · Computer Science 2023-08-03 Masoumeh Javanbakhat , Christoph Lippert

High-dimensional data are routinely collected in many areas. We are particularly interested in Bayesian classification models in which one or more variables are imbalanced. Current Markov chain Monte Carlo algorithms for posterior…

Methodology · Statistics 2024-01-15 Deborshee Sen , Matthias Sachs , Jianfeng Lu , David Dunson

The examination of uncertainty in the predictions of machine learning (ML) models is receiving increasing attention. One uncertainty modeling technique used for this purpose is Monte-Carlo (MC)-Dropout, where repeated predictions are…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Florian Heidecker , Ahmad El-Khateeb , Bernhard Sick
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