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The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all observations, model parameters, and model structure using probability theory. Probabilistic programming languages make it easier to specify and fit…

Amid mounting concern about the reliability and credibility of machine learning research, we present a principled framework for making robust and generalizable claims: the multiverse analysis. Our framework builds upon the multiverse…

Machine Learning · Computer Science 2022-10-13 Samuel J. Bell , Onno P. Kampman , Jesse Dodge , Neil D. Lawrence

Through case studies, we demonstrate how multiverse analysis can strengthen the robustness and transparency of computational social science findings against alternative methodological decisions. We conduct multiverse analyses of three…

Other Statistics · Statistics 2026-05-20 Maximilian Linde , Jun Sun , Paul Balluff , Danica Radovanović , Chung-hong Chan

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

Methodology · Statistics 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

Computation · Statistics 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

A key step in the Bayesian workflow for model building is the graphical assessment of model predictions, whether these are drawn from the prior or posterior predictive distribution. The goal of these assessments is to identify whether the…

Methodology · Statistics 2025-03-04 Teemu Säilynoja , Andrew R. Johnson , Osvaldo A. Martin , Aki Vehtari

When language models answer open-ended problems, they implicitly make hidden decisions that shape their outputs, leaving users with uncontextualized answers rather than a working map of the problem; drawing on multiverse analysis from…

Human-Computer Interaction · Computer Science 2026-05-05 Andre Ye , Jenny Y. Huang , Alicia Guo , Rose Novick , Tamara Broderick , Mitchell L. Gordon

Hierarchical models are increasingly used in many applications. Along with this increased use comes a desire to investigate whether the model is compatible with the observed data. Bayesian methods are well suited to eliminate the many…

Methodology · Statistics 2008-02-08 M. J. Bayarri , M. E. Castellanos

The performance of many machine learning models depends on their hyper-parameter settings. Bayesian Optimization has become a successful tool for hyper-parameter optimization of machine learning algorithms, which aims to identify optimal…

Machine Learning · Computer Science 2020-08-04 Lidan Wang , Franck Dernoncourt , Trung Bui

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

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Machine learning (ML) applications have automated numerous real-life tasks, improving both private and public life. However, the black-box nature of many state-of-the-art models poses the challenge of model verification; how can one be sure…

Machine Learning · Computer Science 2022-01-19 Ioannis Papantonis , Vaishak Belle

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

Inference for partially observed Markov process models has been a longstanding methodological challenge with many scientific and engineering applications. Iterated filtering algorithms maximize the likelihood function for partially observed…

Statistics Theory · Mathematics 2012-11-26 Edward L. Ionides , Anindya Bhadra , Yves Atchadé , Aaron King

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

Methodology · Statistics 2025-08-05 Henry R. Scharf

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

Databases · Computer Science 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

Equivariant models leverage prior knowledge on symmetries to improve predictive performance, but misspecified architectural constraints can harm it instead. While work has explored learning or relaxing constraints, selecting among…

Machine Learning · Computer Science 2025-07-16 Putri A. van der Linden , Alexander Timans , Dharmesh Tailor , Erik J. Bekkers

A multiverse analysis evaluates all combinations of "reasonable" analytic decisions to promote robustness and transparency, but can lead to a combinatorial explosion of analyses to compute. Long delays before assessing results prevent users…

Human-Computer Interaction · Computer Science 2023-05-16 Yang Liu , Tim Althoff , Jeffrey Heer

Engineers are often faced with the decision to select the most appropriate model for simulating the behavior of engineered systems, among a candidate set of models. Experimental monitoring data can generate significant value by supporting…

Applications · Statistics 2023-10-17 Antonios Kamariotis , Eleni Chatzi

We have developed a frequentist approach for model selection which determines the consistency between any cosmological model and the data using the distribution of likelihoods from the iterative smoothing method. Using this approach, we…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-30 Hanwool Koo , Ryan E. Keeley , Arman Shafieloo , Benjamin L'Huillier
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