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Related papers: Smoothing for age-period-cohort models: a comparis…

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Conformal Prediction (CP) is a distribution-free framework for constructing statistically rigorous prediction sets. While popular variants such as CD-split improve CP's efficiency, they often yield prediction sets composed of multiple…

Machine Learning · Statistics 2025-09-29 Mingyi Zheng , Hongyu Jiang , Yizhou Lu , Jiaye Teng

Sequential algorithms such as sequential importance sampling (SIS) and sequential Monte Carlo (SMC) have proven fundamental in Bayesian inference for models not admitting a readily available likelihood function. For approximate Bayesian…

Computation · Statistics 2024-11-08 Umberto Picchini , Massimiliano Tamborrino

Approximate Bayesian Computation (ABC) is a statistical learning technique to calibrate and select models by comparing observed data to simulated data. This technique bypasses the use of the likelihood and requires only the ability to…

Computation · Statistics 2021-05-04 Pierre-Olivier Goffard , Patrick J. Laub

Continuous-time state estimation is gaining in popularity due to its abilities to provide smooth solutions, handle asynchronous sensors, and interpolate between data points. While there are two main paradigms, parametric (e.g., temporal…

Robotics · Computer Science 2026-05-12 Connor Holmes , Sven Lilge , Zi Cong Guo , Frank Dellaert , Timothy D. Barfoot

Model selection in the presence of intractable likelihoods remains a central challenge in Bayesian inference. Approximate Bayesian computation (ABC) provides a flexible likelihood-free framework, but its use for model choice is known to be…

Methodology · Statistics 2026-03-03 Clara Grazian

Analysing age-specific mortality, fertility, and migration patterns is a crucial task in demography with significant policy relevance. In practice, such analysis is challenging when studying a large number of subpopulations, due to small…

Applications · Statistics 2025-05-29 Gregor Zens

Mechanistic models are essential tools across ecology, epidemiology, and the life sciences, but parameter inference remains challenging when likelihood functions are intractable. Approximate Bayesian Computation with Sequential Monte Carlo…

Populations and Evolution · Quantitative Biology 2025-11-27 Mario Castro

A central goal in social science is to evaluate the causal effect of a policy. One dominant approach is through panel data analysis in which the behaviors of multiple units are observed over time. The information across time and space…

Econometrics · Economics 2022-10-11 Dennis Shen , Peng Ding , Jasjeet Sekhon , Bin Yu

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

Approximate Bayesian computation (ABC) is a family of computational techniques in Bayesian statistics. These techniques allow to fi t a model to data without relying on the computation of the model likelihood. They instead require to…

Statistics Theory · Mathematics 2018-12-27 Maxime Lenormand , Franck Jabot , Guillaume Deffuant

The choice of the summary statistics used in Bayesian inference and in particular in ABC algorithms has bearings on the validation of the resulting inference. Those statistics are nonetheless customarily used in ABC algorithms without…

Statistics Theory · Mathematics 2013-08-23 J. -M. Marin , N. Pillai , C. P. Robert , J. Rousseau

Approximate Bayesian computation (ABC) or likelihood-free inference algorithms are used to find approximations to posterior distributions without making explicit use of the likelihood function, depending instead on simulation of sample data…

Computation · Statistics 2015-09-08 Richard D. Wilkinson

Bayesian model averaging enables one to combine the disparate predictions of a number of models in a coherent fashion, leading to superior predictive performance. The improvement in performance arises from averaging models that make…

Applications · Statistics 2011-08-01 Qingzhao Yu , Steven N. MacEachern , Mario Peruggia

Approximate Bayesian Computation (ABC) enables statistical inference in simulator-based models whose likelihoods are difficult to calculate but easy to simulate from. ABC constructs a kernel-type approximation to the posterior distribution…

Methodology · Statistics 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

Approximate Bayesian Computation (ABC) methods are commonly used to approximate posterior distributions in models with unknown or computationally intractable likelihoods. Classical ABC methods are based on nearest neighbor type algorithms…

Methodology · Statistics 2025-06-24 Meili Baragatti , Casenave Céline , Bertrand Cloez , David Métivier , Isabelle Sanchez

In this paper, we propose a doubly stochastic spatial point process model with both aggregation and repulsion. This model combines the ideas behind Strauss processes and log Gaussian Cox processes. The likelihood for this model is not…

Methodology · Statistics 2022-03-03 Ninna Vihrs , Jesper Møller , Alan E. Gelfand

Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

Methodology · Statistics 2021-07-07 Yinan Mao , David J. Nott

Bayesian modeling helps applied researchers articulate assumptions about their data and develop models tailored for specific applications. Thanks to good methods for approximate posterior inference, researchers can now easily build, use,…

Methodology · Statistics 2023-11-22 Gemma E. Moran , David M. Blei , Rajesh Ranganath

We consider a method for approximate inference in hidden Markov models (HMMs). The method circumvents the need to evaluate conditional densities of observations given the hidden states. It may be considered an instance of Approximate…

Computation · Statistics 2012-06-25 James S. Martin , Ajay Jasra , Sumeetpal S. Singh , Nick Whiteley , Emma McCoy

In state space models, smoothing refers to the task of estimating a latent stochastic process given noisy measurements related to the process. We propose an unbiased estimator of smoothing expectations. The lack-of-bias property has…

Methodology · Statistics 2018-09-07 Pierre E. Jacob , Fredrik Lindsten , Thomas B. Schön