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Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

Methodology · Statistics 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith

Uncertainty estimation in machine learning is paramount for enhancing the reliability and interpretability of predictive models, especially in high-stakes real-world scenarios. Despite the availability of numerous methods, they often pose a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Anton Baumann , Thomas Roßberg , Michael Schmitt

Multiple importance sampling (MIS) methods use a set of proposal distributions from which samples are drawn. Each sample is then assigned an importance weight that can be obtained according to different strategies. This work is motivated by…

Computation · Statistics 2015-05-21 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

Community detection methods attempt to divide a network into groups of nodes that share similar properties, thus revealing its large-scale structure. A major challenge when employing such methods is that they are often degenerate, typically…

Physics and Society · Physics 2021-04-23 Tiago P. Peixoto

Topic models are Bayesian models that are frequently used to capture the latent structure of certain corpora of documents or images. Each data element in such a corpus (for instance each item in a collection of scientific articles) is…

Machine Learning · Statistics 2018-02-05 Behrooz Ghorbani , Hamid Javadi , Andrea Montanari

Annotating data via crowdsourcing is time-consuming and expensive. Due to these costs, dataset creators often have each annotator label only a small subset of the data. This leads to sparse datasets with examples that are marked by few…

Computation and Language · Computer Science 2023-10-06 London Lowmanstone , Ruyuan Wan , Risako Owan , Jaehyung Kim , Dongyeop Kang

Estimating accurate and well-calibrated predictive uncertainty is important for enhancing the reliability of computer vision models, especially in safety-critical applications like traffic scene perception. While ensemble methods are…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Svetlana Pavlitska , Beyza Keskin , Alwin Faßbender , Christian Hubschneider , J. Marius Zöllner

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

Methodology · Statistics 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

One of the most important queries in knowledge compilation is weighted model counting (WMC), which has been applied to probabilistic inference on various models, such as Bayesian networks. In practical situations on inference tasks, the…

Artificial Intelligence · Computer Science 2026-04-16 Kengo Nakamura , Masaaki Nishino , Norihito Yasuda

Machine-learning (ML) interatomic potentials (IPs) trained on first-principles datasets are becoming increasingly popular since they promise to treat larger system sizes and longer time scales, compared to the {\em ab initio} techniques…

Materials Science · Physics 2023-09-04 Shuaihua Lu , Luca M. Ghiringhelli , Christian Carbogno , Jinlan Wang , Matthias Scheffler

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

Methodology · Statistics 2022-01-19 Geoffrey S Johnson

Active statistical inference is a new method for inference with AI-assisted data collection. Given a budget on the number of labeled data points that can be collected and assuming access to an AI predictive model, the basic idea is to…

Machine Learning · Statistics 2025-11-13 Puheng Li , Tijana Zrnic , Emmanuel Candès

There has been a recent surge in statistical methods for handling the lack of adequate positivity when using inverse probability weights (IPW). However, these nascent developments have raised a number of questions. Thus, we demonstrate the…

Methodology · Statistics 2024-02-05 Roland A. Matsouaka , Yi Liu , Yunji Zhou

Convolutional neural networks have shown to achieve superior performance on image segmentation tasks. However, convolutional neural networks, operating as black-box systems, generally do not provide a reliable measure about the confidence…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Alexander Treiss , Jannis Walk , Niklas Kühl

A maximum entropy-based framework is presented for the synthesis of projections from multiple Earth climate models. This identifies the most representative (most probable) model from a set of climate models -- as defined by specified…

Geophysics · Physics 2017-08-23 Robert K. Niven

Reliably labelling data typically requires annotations from multiple human workers. However, humans are far from being perfect. Hence, it is a common practice to aggregate labels gathered from multiple annotators to make a more confident…

We introduce the incremental voter model (IVM), a discrete-opinion multi-agent system where agents undergo step-wise transitions biased by the opinion of a randomly selected persuader. Our incremental voter model comprises a large…

Multiagent Systems · Computer Science 2026-05-29 Fei Cao , Xiaoqian Gong

We study how open disagreement influences team performance in a dynamic production game. Team members can hold different priors about the productivity of the available production technologies. Initial beliefs are common knowledge and…

Theoretical Economics · Economics 2026-01-09 Giampaolo Bonomi

There are two things to be considered when we evaluate predictive models. One is prediction accuracy,and the other is interpretability. Over the recent decades, many prediction models of high performance, such as ensemble-based models and…

Machine Learning · Statistics 2024-08-05 Yongchan Choi , Seokhun Park , Chanmoo Park , Dongha Kim , Yongdai Kim

Recent research has established sufficient conditions for finite mixture models to be identifiable from grouped observations. These conditions allow the mixture components to be nonparametric and have substantial (or even total) overlap.…

Machine Learning · Statistics 2020-06-16 Alexander Ritchie , Robert A. Vandermeulen , Clayton Scott
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