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This work affords new insights into Bayesian CART in the context of structured wavelet shrinkage. The main thrust is to develop a formal inferential framework for Bayesian tree-based regression. We reframe Bayesian CART as a g-type prior…

Statistics Theory · Mathematics 2021-05-25 Ismael Castillo , Veronika Rockova

Tensor-valued data are becoming increasingly available in economics and this calls for suitable econometric tools. We propose a new dynamic linear model for tensor-valued response variables and covariates that encompasses some well-known…

Methodology · Statistics 2019-07-05 Monica Billio , Roberto Casarin , Matteo Iacopini , Sylvia Kaufmann

The analysis of spatial point patterns that occur in the network domain have recently gained much attraction and various intensity functions and measures have been proposed. However, the linkage of spatial network statistics to regression…

Applications · Statistics 2016-07-25 Matthias Eckardt , Jorge Mateu

The past two decades have seen a growing interest in combining causal information, commonly represented using causal graphs, with machine learning models. Probability trees provide a simple yet powerful alternative representation of causal…

Machine Learning · Computer Science 2022-05-18 Tue Herlau

To model recurrent interaction events in continuous time, an extension of the stochastic block model is proposed where every individual belongs to a latent group and interactions between two individuals follow a conditional inhomogeneous…

Methodology · Statistics 2023-08-30 Catherine Matias , Tabea Rebafka , Fanny Villers

This paper provides a link between causal inference and machine learning techniques - specifically, Classification and Regression Trees (CART) - in observational studies where the receipt of the treatment is not randomized, but the…

Machine Learning · Computer Science 2019-05-23 Falco J. Bargagli-Stoffi , Giorgio Gnecco

We explore the notion of uncertainty in the context of modern abstractive summarization models, using the tools of Bayesian Deep Learning. Our approach approximates Bayesian inference by first extending state-of-the-art summarization models…

Computation and Language · Computer Science 2022-05-04 Alexios Gidiotis , Grigorios Tsoumakas

Popular parametric and semiparametric hazards regression models for clustered survival data are inappropriate and inadequate when the unknown effects of different covariates and clustering are complex. This calls for a flexible modeling…

Applications · Statistics 2021-03-16 Piyali Basak , Antonio R. Linero , Debajyoti SInha , Stuart Lipsitz

We propose a novel nonparametric Bayesian IRT model in this paper by introducing the clustering effect at question level and further assume heterogeneity at examinee level under each question cluster, characterized by the mixture of…

Methodology · Statistics 2022-11-23 Tianyu Pan , Weining Shen , Clintin P. Davis-Stober , Guanyu Hu

Practical and ethical constraints often require the use of observational data for causal inference, particularly in medicine and social sciences. Yet, observational datasets are prone to confounding, potentially compromising the validity of…

Machine Learning · Statistics 2026-05-04 Piersilvio De Bartolomeis , Julia Kostin , Javier Abad , Yixin Wang , Fanny Yang

Various networks are broadly and deeply applied in real-life applications. Reliability is the most important index for measuring the performance of all network types. Among the various algorithms, only implicit enumeration algorithms, such…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-21 Wei-Chang Yeh

Bayesian graphical models have been shown to be a powerful tool for discovering uncertainty and causal structure from real-world data in many application fields. Current inference methods primarily follow different kinds of trade-offs…

Machine Learning · Computer Science 2018-02-20 Daniel Rugeles , Zhen Hai , Gao Cong , Manoranjan Dash

Item Response Theory (IRT) is a ubiquitous model for understanding human behaviors and attitudes based on their responses to questions. Large modern datasets offer opportunities to capture more nuances in human behavior, potentially…

Machine Learning · Computer Science 2022-07-29 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

We propose the use of the probability integral transform (PIT) for model validation in point process models. The simple PIT diagnostics assess the calibration of the model and can detect inconsistencies in both the intensity and the…

Methodology · Statistics 2013-05-16 Thordis L. Thorarinsdottir

High dimensional Poisson regression has become a standard framework for the analysis of massive counts datasets. In this work we estimate the intensity function of the Poisson regression model by using a dictionary approach, which…

Methodology · Statistics 2014-12-30 S. Ivanoff , F. Picard , V. Rivoirard

Public special events, like sports games, concerts and festivals are well known to create disruptions in transportation systems, often catching the operators by surprise. Although these are usually planned well in advance, their impact is…

Machine Learning · Statistics 2018-12-21 Filipe Rodrigues , Stanislav S. Borysov , Bernardete Ribeiro , Francisco C. Pereira

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

Methodology · Statistics 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

While Bayesian neural networks have many appealing characteristics, current priors do not easily allow users to specify basic properties such as expected lengthscale or amplitude variance. In this work, we introduce Poisson Process Radial…

Machine Learning · Computer Science 2019-12-13 Beau Coker , Melanie F. Pradier , Finale Doshi-Velez

A framework is proposed that addresses both conditional density estimation and latent variable discovery. The objective function maximizes explanation of variability in the data, achieved through the optimal transport barycenter generalized…

Optimization and Control · Mathematics 2026-02-18 Hongkang Yang , Esteban G. Tabak

There is interest in learning about the causal effect of family planning (FP) on empowerment related outcomes. Experimental data related to this question are available from trials in which FP programs increase access to FP. While program…

Methodology · Statistics 2026-03-31 Lucas Godoy Garraza , Ilene Speizer , Leontine Alkema
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