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Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

Computation · Statistics 2010-05-04 M. G. B. Blum , O. Francois

ABC (approximate Bayesian computation) is a general approach for dealing with models with an intractable likelihood. In this work, we derive ABC algorithms based on QMC (quasi- Monte Carlo) sequences. We show that the resulting ABC…

Computation · Statistics 2018-05-08 Alexander Buchholz , Nicolas Chopin

Fingerprint individuality refers to the extent of uniqueness of fingerprints and is the main criteria for deciding between a match versus nonmatch in forensic testimony. Often, prints are subject to varying levels of noise, for example, the…

Applications · Statistics 2014-11-06 Sarat C. Dass , Chae Young Lim , Tapabrata Maiti

An important problem for HCI researchers is to estimate the parameter values of a cognitive model from behavioral data. This is a difficult problem, because of the substantial complexity and variety in human behavioral strategies. We report…

Human-Computer Interaction · Computer Science 2017-01-16 Antti Kangasrääsiö , Kumaripaba Athukorala , Andrew Howes , Jukka Corander , Samuel Kaski , Antti Oulasvirta

Approximate Bayesian computation (ABC) is a class of Bayesian inference algorithms that targets for problems with intractable or {unavailable} likelihood function. It uses synthetic data drawn from the simulation model to approximate the…

Computation · Statistics 2024-12-24 Xuefei Cao , Shijia Wang , Yongdao Zhou

We analyze the computational efficiency of approximate Bayesian computation (ABC), which approximates a likelihood function by drawing pseudo-samples from the associated model. For the rejection sampling version of ABC, it is known that…

Computation · Statistics 2016-02-18 Luke Bornn , Natesh Pillai , Aaron Smith , Dawn Woodard

Comparing competing mathematical models of complex natural processes is a shared goal among many branches of science. The Bayesian probabilistic framework offers a principled way to perform model comparison and extract useful metrics for…

In 2016, the European Network of Forensic Science Institutes (ENFSI) published guidelines for the evaluation, interpretation and reporting of scientific evidence. In the guidelines, ENFSI endorsed the use of the likelihood ratio (LR) as a…

Applications · Statistics 2020-05-25 Nathaniel Garton , Danica Ommen , Jarad Niemi , Alicia Carriquiry

The effectiveness of fingerprint-based authentication systems on good quality fingerprints is established long back. However, the performance of standard fingerprint matching systems on noisy and poor quality fingerprints is far from…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Indu Joshi , Ayush Utkarsh , Riya Kothari , Vinod K Kurmi , Antitza Dantcheva , Sumantra Dutta Roy , Prem Kumar Kalra

Fingerprint recognition is one of most popular and accuracy Biometric technologies. Nowadays, it is used in many real applications. However, recognizing fingerprints in poor quality images is still a very complex problem. In recent years,…

Computer Vision and Pattern Recognition · Computer Science 2011-07-19 Le Hoang Thai , Ha Nhat Tam

The Bayesian evidence, crucial ingredient for model selection, is arguably the most important quantity in Bayesian data analysis: at the same time, however, it is also one of the most difficult to compute. In this paper we present a…

Methodology · Statistics 2024-05-14 Stefano Rinaldi , Gabriele Demasi , Walter Del Pozzo , Otto A. Hannuksela

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

Quantum Physics · Physics 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

Approximate Bayesian Computation (ABC) methods often require extensive simulations, resulting in high computational costs. This paper focuses on multifidelity simulation models and proposes a pre-filtering hierarchical importance sampling…

Computation · Statistics 2026-02-03 Xuefei Cao , Shijia Wang , Yongdao Zhou

The likelihood ratio (LR) is largely used to evaluate the relative weight of forensic data regarding two hypotheses and for its assessment Bayesian methods are widespread in the forensic field. However, the Bayesian `recipe' for the LR…

Applications · Statistics 2016-04-14 Giulia Cereda

Bayesian inference is a widely used technique for real-time characterization of quantum systems. It excels in experimental characterization in the low data regime, and when the measurements have degrees of freedom. A decisive factor for its…

Quantum Physics · Physics 2025-07-10 Alexandra Ramôa , Raffaele Santagati , Nathan Wiebe

We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

Machine Learning · Statistics 2017-05-01 Xin Liu , Mahesan Niranjan

By the nature of their construction, many statistical models for extremes result in likelihood functions that are computationally prohibitive to evaluate. This is consequently problematic for the purposes of likelihood-based inference. With…

Methodology · Statistics 2014-11-07 Robert Erhardt , Scott A. Sisson

We present a framework for fingerprint matching based on marked point process models. An efficient Monte Carlo algorithm is developed to calculate the marginal likelihood ratio for the hypothesis that two observed prints originate from the…

Methodology · Statistics 2014-07-23 Peter G. M. Forbes , Steffen Lauritzen , Jesper Møller

Regression-based optimal fingerprinting techniques for climate change detection and attribution require the estimation of the forced signal as well as the internal variability covariance matrix in order to distinguish between their…

Methodology · Statistics 2022-08-08 Samuel Baugh , Karen McKinnon

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

Computation · Statistics 2017-01-17 Jack Davis , Steven K. Thompson
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