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The analysis of count data is commonly done using Poisson models. Negative binomial models are a straightforward and readily motivated generalization for the case of overdispersed data, i.e., when the observed variance is greater than…

Methodology · Statistics 2016-01-06 Christian Röver , Stefan Andreas , Tim Friede

High-throughput data analyses are becoming common in biology, communications, economics and sociology. The vast amounts of data are usually represented in the form of matrices and can be considered as knowledge networks. Spectra-based…

Quantitative Methods · Quantitative Biology 2010-01-06 Viet-Anh Nguyen , Zdena Koukolikova-Nicola , Franco Bagnoli , Pietro Lio

Explainable AI (XAI) is widely used to analyze AI systems' decision-making, such as providing counterfactual explanations for recourse. When unexpected explanations occur, users may want to understand the training data properties shaping…

Machine Learning · Computer Science 2025-03-26 André Artelt , Barbara Hammer

Studying the effects of one-way variation of any number of parameters on any number of output probabilities quickly becomes infeasible in practice, especially if various evidence profiles are to be taken into consideration. To provide for…

Artificial Intelligence · Computer Science 2012-07-09 Silja Renooij , Linda C. van der Gaag

A machine that learns a task from observations must encounter and process uncertainty and novelty, especially when it is to maintain performance when observing new information and to select the hypothesis that best fits the current…

Machine Learning · Computer Science 2026-04-17 Derek S. Prijatelj , Timothy J. Ireland , Walter J. Scheirer

DeGroot (1962) developed a general framework for constructing Bayesian measures of the expected information that an experiment will provide for estimation. We propose an analogous framework for measures of information for hypothesis…

Statistics Theory · Mathematics 2019-06-18 David E. Jones , Xiao-Li Meng

This paper presents a model of costly information acquisition where decision-makers can choose whether to elaborate information superficially or precisely. The former action is costless, while the latter entails a processing cost. Within…

General Economics · Economics 2024-11-27 Federico Vaccari

When modelling HIV epidemics, it is important to incorporate set-point viral load and its heritability. As set-point viral load distributions can differ significantly amongst epidemics, it is imperative to account for the observed local…

Populations and Evolution · Quantitative Biology 2018-11-28 Pieter Libin , Laurens Hernalsteen , Kristof Theys , Perpetua Gomes , Ana Abecasis , Ann Nowe

Misleading or unnecessary data can have out-sized impacts on the health or accuracy of Machine Learning (ML) models. We present a Bayesian sequential selection method, akin to Bayesian experimental design, that identifies critically…

Machine Learning · Computer Science 2024-07-09 Ethan Pickering , Themistoklis P. Sapsis

Bayesian inference and the use of posterior or posterior predictive probabilities for decision making have become increasingly popular in clinical trials. The current practice in Bayesian clinical trials relies on a hybrid…

Methodology · Statistics 2024-04-30 Shirin Golchi , James Willard

Bayesian Networks (BNs) are an important tool for assisting probabilistic reasoning, but despite being considered transparent models, people have trouble understanding them. Further, current User Interfaces (UIs) still do not clarify the…

Artificial Intelligence · Computer Science 2025-11-24 Erik P. Nyberg , Steven Mascaro , Ingrid Zukerman , Michael Wybrow , Duc-Minh Vo , Ann Nicholson

To make decisions we are guided by the evidence we collect, as well as the opinions of friends and neighbors. How do we integrate our private beliefs with information we obtain from our social network? To understand the strategies humans…

Physics and Society · Physics 2020-03-04 Bhargav Karamched , Simon Stolarczyk , Zachary Kilpatrick , Krešimir Josić

Communication signals often comprise an array of colors, lines, spots, notes or odors that are arranged in complex patterns, melodies or blends. Receiver perception is assumed to influence preference and thus the evolution of signal design,…

Populations and Evolution · Quantitative Biology 2019-01-04 Julien P. Renoult , Tamra C. Mendelson

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

Relational query optimisers rely on cost models to choose between different query execution plans. Selectivity estimates are known to be a crucial input to the cost model. In practice, standard selectivity estimation procedures are prone to…

Databases · Computer Science 2020-09-22 Max Halford , Philippe Saint-Pierre , Franck Morvan

Pimentel et al. (2020) recently analysed probing from an information-theoretic perspective. They argue that probing should be seen as approximating a mutual information. This led to the rather unintuitive conclusion that representations…

Computation and Language · Computer Science 2021-09-10 Tiago Pimentel , Ryan Cotterell

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates

The distribution of deaths by cause provides crucial information for public health planning, response, and evaluation. About 60% of deaths globally are not registered or given a cause, limiting our ability to understand disease…

Applications · Statistics 2018-11-28 Tsuyoshi Kunihama , Zehang Richard Li , Samuel J. Clark , Tyler H. McCormick

When eliciting probability models from experts, knowledge engineers may compare the results of the model with expert judgment on test scenarios, then adjust model parameters to bring the behavior of the model more in line with the expert's…

Artificial Intelligence · Computer Science 2013-03-08 Kathryn Blackmond Laskey

Stability selection is a versatile framework for structure estimation and variable selection in high-dimensional setting, primarily grounded in frequentist principles. In this paper, we propose an enhanced methodology that integrates…

Methodology · Statistics 2026-05-05 Mahdi Nouraie , Connor Smith , Samuel Muller
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