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For many decades now, Bayesian Model Averaging (BMA) has been a popular framework to systematically account for model uncertainty that arises in situations when multiple competing models are available to describe the same or similar…

统计计算 · 统计学 2022-03-29 Vojtech Kejzlar , Shrijita Bhattacharya , Mookyong Son , Tapabrata Maiti

Modeling buildings' heat dynamics is a complex process which depends on various factors including weather, building thermal capacity, insulation preservation, and residents' behavior. Gray-box models offer a causal inference of those…

机器学习 · 计算机科学 2019-02-20 Nilavra Pathak , James Foulds , Nirmalya Roy , Nilanjan Banerjee , Ryan Robucci

Modern statistical software and machine learning libraries are enabling semi-automated statistical inference. Within this context, it appears easier and easier to try and fit many models to the data at hand, reversing thereby the Fisherian…

统计方法学 · 统计学 2020-09-28 Pierre-Alexandre Mattei

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

统计方法学 · 统计学 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

These notes aim at presenting an overview of Bayesian statistics, the underlying concepts and application methodology that will be useful to astronomers seeking to analyse and interpret a wide variety of data about the Universe. The level…

宇宙学与河外天体物理 · 物理学 2017-01-09 Roberto Trotta

Simulation models, in particular agent-based models, are gaining popularity in economics. The considerable flexibility they offer, as well as their capacity to reproduce a variety of empirically observed behaviours of complex systems, give…

计量经济学 · 经济学 2024-02-20 Joel Dyer , Patrick Cannon , J. Doyne Farmer , Sebastian Schmon

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

机器学习 · 计算机科学 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

Statistics comes in two main flavors: frequentist and Bayesian. For historical and technical reasons, frequentist statistics has dominated data analysis in the past; but Bayesian statistics is making a comeback at the forefront of science.…

软件工程 · 计算机科学 2016-08-30 Carlo A. Furia

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

机器学习 · 统计学 2015-12-01 Eric F. Lock , David B. Dunson

Almost all fields of science rely upon statistical inference to estimate unknown parameters in theoretical and computational models. While the performance of modern computer hardware continues to grow, the computational requirements for the…

统计计算 · 统计学 2022-10-25 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Bayesian calibration of black-box computer models offers an established framework to obtain a posterior distribution over model parameters. Traditional Bayesian calibration involves the emulation of the computer model and an additive model…

机器学习 · 统计学 2018-10-30 Sébastien Marmin , Maurizio Filippone

Building on a strong foundation of philosophy, theory, methods and computation over the past three decades, Bayesian approaches are now an integral part of the toolkit for most statisticians and data scientists. Whether they are dedicated…

A representation of the cause-effect mechanism is needed to enable artificial intelligence to represent how the world works. Bayesian Networks (BNs) have proven to be an effective and versatile tool for this task. BNs require constructing a…

人工智能 · 计算机科学 2026-03-18 Joverlyn Gaudillo , Nicole Astrologo , Fabio Stella , Enzo Acerbi , Francesco Canonaco

Software is highly contextual. While there are cross-cutting `global' lessons, individual software projects exhibit many `local' properties. This data heterogeneity makes drawing local conclusions from global data dangerous. A key research…

软件工程 · 计算机科学 2018-04-10 Neil A. Ernst

Approximate Bayesian computation (ABC) have become a essential tool for the analysis of complex stochastic models. Earlier, Grelaud et al. (2009) advocated the use of ABC for Bayesian model choice in the specific case of Gibbs random…

统计方法学 · 统计学 2015-03-19 Christian P. Robert , Jean-Marie Cornuet , Jean-Michel Marin , Natesh Pillai

While the Graybox characterization method allows for implicit noise models and is platform-agnostic, the method lacks uncertainty quantification. Characterization of quantum devices is a crucial process that enables researchers to gain…

量子物理 · 物理学 2025-09-30 Poramet Pathumsoot , Michal Hajdušek , Rodney Van Meter

We are living in the big data era, as current technologies and networks allow for the easy and routine collection of data sets in different disciplines. Bayesian Statistics offers a flexible modeling approach which is attractive for…

统计方法学 · 统计学 2018-05-09 George Karabatsos , Fabrizio Leisen

Rich data generating mechanisms are ubiquitous in this age of information and require complex statistical models to draw meaningful inference. While Bayesian analysis has seen enormous development in the last 30 years, benefitting from the…

统计计算 · 统计学 2022-10-20 Radu V. Craiu , Evgeny Levi

Dating is a key element for archaeologists. We propose a Bayesian approach to provide chronology to sites that have neither radiocarbon dating nor clear stratigraphy and whose only information comes from lithic arrowheads. This classifier…

Bayesian methods are particularly effective for addressing inverse problems due to their ability to manage uncertainties inherent in the inference process. However, employing these methods with costly forward models poses significant…

计算工程、金融与科学 · 计算机科学 2025-10-30 G. Robalo Rei , C. P. Schmidt , J. Nitzler , M. Dinkel , W. A. Wall