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The Dirichlet process and its extension, the Pitman-Yor process, are stochastic processes that take probability distributions as a parameter. These processes can be stacked up to form a hierarchical nonparametric Bayesian model. In this…

Machine Learning · Statistics 2016-09-23 Kar Wai Lim , Wray Buntine , Changyou Chen , Lan Du

User sentiment on social media reveals the underlying social trends, crises, and needs. Researchers have analyzed users' past messages to trace the evolution of sentiments and reconstruct sentiment dynamics. However, predicting the imminent…

Computation and Language · Computer Science 2025-12-25 Fanhang Man , Huandong Wang , Jianjie Fang , Zhaoyi Deng , Baining Zhao , Xinlei Chen , Yong Li

A new approach for Bayesian model averaging (BMA) and selection is proposed, based on the mixture model approach for hypothesis testing in Kaniav et al., 2014. Inheriting from the good properties of this approach, it extends BMA to cases…

Methodology · Statistics 2018-08-02 Merlin Keller , Kaniav Kamary

We propose a new model selection method, the posterior averaging information criterion, for Bayesian model assessment from a predictive perspective. The theoretical foundation is built on the Kullback-Leibler divergence to quantify the…

Methodology · Statistics 2020-09-22 Shouhao Zhou

Parameter estimation and inference from complex survey samples typically focuses on global model parameters whose estimators have asymptotic properties, such as from fixed effects regression models. The central challenge is to both mitigate…

Methodology · Statistics 2026-05-13 Matthew R. Williams , F. Hunter McGuire , Terrance D. Savitsky

Bayesian inference methods are applied within a Bayesian hierarchical modelling framework to the problems of joint state and parameter estimation, and of state forecasting. We explore and demonstrate the ideas in the context of a simple…

Applications · Statistics 2012-11-09 John Parslow , Noel Cressie , Edward P. Campbell , Emlyn Jones , Lawrence Murray

Text mining can be applied to many fields. One of the application is using text mining in digital newspaper to do politic sentiment analysis. In this paper sentiment analysis is applied to get information from digital news articles about…

Computation and Language · Computer Science 2015-08-24 Yustinus Eko Soelistio , Martinus Raditia Sigit Surendra

Statistical inference as a formal scientific method to covert experience to knowledge has proven to be elusively difficult. While frequentist and Bayesian methodologies have been accepted in the contemporary era as two dominant schools of…

Statistics Theory · Mathematics 2023-01-16 Chuanhai Liu , Ryan Martin

We propose a scalable Bayesian preference learning method for jointly predicting the preferences of individuals as well as the consensus of a crowd from pairwise labels. Peoples' opinions often differ greatly, making it difficult to predict…

Machine Learning · Computer Science 2019-12-13 Edwin Simpson , Iryna Gurevych

Prediction polling is an increasingly popular form of crowdsourcing in which multiple participants estimate the probability or magnitude of some future event. These estimates are then aggregated into a single forecast. Historically,…

Methodology · Statistics 2016-04-25 Ville A. Satopää , Shane T. Jensen , Robin Pemantle , Lyle H. Ungar

Combining distributions is an important issue in decision theory and Bayesian inference. Logarithmic pooling is a popular method to aggregate expert opinions by using a set of weights that reflect the reliability of each information source.…

An ability to predict the popularity dynamics of individual items within a complex evolving system has important implications in an array of areas. Here we propose a generative probabilistic framework using a reinforced Poisson process to…

Social and Information Networks · Computer Science 2014-01-07 Hua-Wei Shen , Dashun Wang , Chaoming Song , Albert-László Barabási

When modeling a probability distribution with a Bayesian network, we are faced with the problem of how to handle continuous variables. Most previous work has either solved the problem by discretizing, or assumed that the data are generated…

Machine Learning · Computer Science 2013-02-21 George H. John , Pat Langley

This paper describes a heuristic Bayesian method for computing probability distributions from experimental data, based upon the multivariate normal form of the influence diagram. An example illustrates its use in medical technology…

Artificial Intelligence · Computer Science 2013-04-11 Ross D. Shachter , David M. Eddy , Vic Hasselblad , Robert Wolpert

Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion…

Physics and Society · Physics 2016-05-23 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

Nonlinear mixed effects models have become a standard platform for analysis when data is in the form of continuous and repeated measurements of subjects from a population of interest, while temporal profiles of subjects commonly follow a…

Methodology · Statistics 2022-03-04 Se Yoon Lee

For a Bayesian, real-time forecasting with the posterior predictive distribution can be challenging for a variety of time series models. First, estimating the parameters of a time series model can be difficult with sample-based approaches…

Applications · Statistics 2022-08-08 Taylor R. Brown

Analysis of information retrieved from microblogging services such as Twitter can provide valuable insight into public sentiment in a geographic region. This insight can be enriched by visualising information in its geographic context. Two…

Computation and Language · Computer Science 2016-11-18 Vu Dung Nguyen , Blesson Varghese , Adam Barker

Reliable uncertainty quantification remains a central challenge in predictive modeling. While Bayesian methods are theoretically appealing, their predictive intervals can exhibit poor frequentist calibration, particularly with small sample…

Methodology · Statistics 2025-08-05 Graham Gibson

Decisions by humans depend on their estimations given some uncertain sensory data. These decisions can also be influenced by the behavior of others. Here we present a mathematical model to quantify this influence, inviting a further study…

Physics and Society · Physics 2012-09-25 Gabriel Madirolas , Alfonso Perez-Escudero , Gonzalo G. de Polavieja