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When working with multimodal Bayesian posterior distributions, Markov chain Monte Carlo (MCMC) algorithms have difficulty moving between modes, and default variational or mode-based approximate inferences will understate posterior…

Methodology · Statistics 2021-11-19 Yuling Yao , Aki Vehtari , Andrew Gelman

Following a series of high-profile drug safety disasters in recent years, many countries are redoubling their efforts to ensure the safety of licensed medical products. Large-scale observational databases such as claims databases or…

Computation · Statistics 2012-08-07 Marc A. Suchard , Shawn E. Simpson , Ivan Zorych , Patrick Ryan , David Madigan

Combining data has become an indispensable tool for managing the current diversity and abundance of data. But, as data complexity and data volume swell, the computational demands of previously proposed models for combining data escalate…

Methodology · Statistics 2024-06-13 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

We propose a novel Parallel Monte Carlo tree search with Batched Simulations (PMBS) algorithm for accelerating long-horizon, episodic robotic planning tasks. Monte Carlo tree search (MCTS) is an effective heuristic search algorithm for…

Robotics · Computer Science 2022-07-15 Baichuan Huang , Abdeslam Boularias , Jingjin Yu

Bayesian inference often faces a trade-off between computational speed and sampling accuracy. We propose an adaptive workflow that integrates rapid amortized inference with gold-standard MCMC techniques to achieve a favorable combination of…

Machine Learning · Computer Science 2026-02-19 Chengkun Li , Aki Vehtari , Paul-Christian Bürkner , Stefan T. Radev , Luigi Acerbi , Marvin Schmitt

Bayesian optimization is an effective methodology for the global optimization of functions with expensive evaluations. It relies on querying a distribution over functions defined by a relatively cheap surrogate model. An accurate model for…

Sequential Monte Carlo samplers represent a compelling approach to posterior inference in Bayesian models, due to being parallelisable and providing an unbiased estimate of the posterior normalising constant. In this work, we significantly…

Methodology · Statistics 2022-11-24 Samuel Duffield , Sumeetpal S. Singh

We developed a parallel Bayesian optimization algorithm for large eddy simulations. These simulations challenge optimization methods because they take hours or days to compute, and their objective function contains noise as turbulent…

Fluid Dynamics · Physics 2014-11-04 Chaitanya Talnikar , Patrick Blonigan , Julien Bodart , Qiqi Wang

Data-driven modeling plays an increasingly important role in different areas of engineering. For most of existing methods, such as genetic programming (GP), the convergence speed might be too slow for large scale problems with a large…

Optimization and Control · Mathematics 2017-06-29 Chen Chen , Changtong Luo , Zonglin Jiang

Data transformations are essential for broad applicability of parametric regression models. However, for Bayesian analysis, joint inference of the transformation and model parameters typically involves restrictive parametric transformations…

Methodology · Statistics 2024-08-29 Daniel R. Kowal , Bohan Wu

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

Mathematical models implemented on a computer have become the driving force behind the acceleration of the cycle of scientific processes. This is because computer models are typically much faster and economical to run than physical…

Computation · Statistics 2021-07-05 Vojtech Kejzlar , Mookyong Son , Shrijita Bhattacharya , Tapabrata Maiti

Computational intensity and sequential nature of estimation techniques for Bayesian methods in statistics and machine learning, combined with their increasing applications for big data analytics, necessitate both the identification of…

Computation · Statistics 2015-03-02 Alireza S. Mahani , Mansour T. A. Sharabiani

Computational inference of causal relationships underlying complex networks, such as gene-regulatory pathways, is NP-complete due to its combinatorial nature when permuting all possible interactions. Markov chain Monte Carlo (MCMC) has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-19 Yu Wang , Weikang Qian , Shuchang Zhang , Bo Yuan

Estimating model parameters of a general family of cure models is always a challenging task mainly due to flatness and multimodality of the likelihood function. In this work, we propose a fully Bayesian approach in order to overcome these…

Methodology · Statistics 2024-08-20 Panagiotis Papastamoulis , Fotios Milienos

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

Computational Physics · Physics 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

Bayesian inference for Markov processes has become increasingly relevant in recent years. Problems of this type often have intractable likelihoods and prior knowledge about model rate parameters is often poor. Markov Chain Monte Carlo…

Computation · Statistics 2014-10-23 Jamie Owen , Darren J. Wilkinson , Colin S. Gillespie

Multiverse analysis, a paradigm for statistical analysis that considers all combinations of reasonable analysis choices in parallel, promises to improve transparency and reproducibility. Although recent tools help analysts specify…

Human-Computer Interaction · Computer Science 2023-06-06 Ken Gu , Eunice Jun , Tim Althoff

Developing efficient MCMC algorithms is indispensable in Bayesian inference. In parallel tempering, multiple interacting MCMC chains run to more efficiently explore the state space and improve performance. The multiple chains advance…

Computation · Statistics 2021-09-15 A. Marie d'Avigneau , S. S. Singh , L. M. Murray

Existing multilevel quasi-Monte Carlo (MLQMC) methods often rely on multiple independent randomizations of a low-discrepancy (LD) sequence to estimate statistical errors on each level. While this approach is standard, it can be less…

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