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Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

We deal with Bayesian inference for Beta autoregressive processes. We restrict our attention to the class of conditionally linear processes. These processes are particularly suitable for forecasting purposes, but are difficult to estimate…

Statistics Theory · Mathematics 2010-08-03 R. Casarin , L. Dalla Valle , F. Leisen

This paper is devoted to exploring how we can discover and study nearby (< 1-2 kpc) planetary and binary systems by observing their action as gravitational lenses. Lensing can extend the realm of nearby binaries and planets that can be…

Astrophysics · Physics 2008-01-11 R. Di Stefano

The light curves observed in microlensing events due to binary lenses span an extremely wide variety of forms, characterised by U-shaped caustic crossings and/or additional smoother peaks. However, all peaks of the binary-lens light curve…

Earth and Planetary Astrophysics · Physics 2015-06-23 Christine Liebig , Giuseppe D'Ago , Valerio Bozza , Martin Dominik

Binary microlensing light curves have a variety of morphologies. Many are indistinguishable from point lens light curves. Of those that deviate from the point lens form, caustic crossing light curves have tended to dominate identified…

Astrophysics · Physics 2009-11-13 Christopher Night , Rosanne Di Stefano , Megan Schwamb

We propose a general algorithmic framework for Bayesian model selection. A spike-and-slab Laplacian prior is introduced to model the underlying structural assumption. Using the notion of effective resistance, we derive an EM-type algorithm…

Methodology · Statistics 2020-06-19 Youngseok Kim , Chao Gao

We present and study the largest and the most comprehensive catalog of microlensing events ever constructed. The sample of standard microlensing events comprises 3718 unique events from years 2001--2009, with 1409 not detected before in…

It is common practice to use Laplace approximations to compute marginal likelihoods in Bayesian versions of generalised linear models (GLM). Marginal likelihoods combined with model priors are then used in different search algorithms to…

Methodology · Statistics 2022-02-01 Jon Lachmann , Geir Storvik , Florian Frommlet , Aliaksadr Hubin

We develop a novel method for carrying out model selection for Bayesian autoencoders (BAEs) by means of prior hyper-parameter optimization. Inspired by the common practice of type-II maximum likelihood optimization and its equivalence to…

We develop a new statistical ideal observer model that performs holistic visual search (or gist) processing in part by placing thresholds on minimum extractable image features. In this model, the ideal observer reduces the number of free…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Howard C. Gifford

Variable selection techniques have become increasingly popular amongst statisticians due to an increased number of regression and classification applications involving high-dimensional data where we expect some predictors to be unimportant.…

Methodology · Statistics 2010-09-20 Anthony Lee , Francois Caron , Arnaud Doucet , Chris Holmes

The start of LHC has motivated an effort to determine the relative probability of the different regions of the MSSM parameter space, taking into account the present, theoretical and experimental, wisdom about the model. Since the present…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. E. Cabrera , J. A. Casas , R. Ruiz de Austri

Tuning particle accelerators is a challenging and time-consuming task that can be automated and carried out efficiently using suitable optimization algorithms, such as model-based Bayesian optimization techniques. One of the major…

Bayesian optimisation is an adaptive sampling strategy for constructing a Gaussian process surrogate to efficiently search for the global minimum of a black-box computational model. Gaussian processes have limited applicability in…

Applications · Statistics 2025-12-04 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

In this work, we present the analysis of the binary microlensing event OGLE-2018-BLG-0022 that is detected toward the Galactic bulge field. The dense and continuous coverage with the high-quality photometry data from ground-based…

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

Computation · Statistics 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar

We consider a Bayesian approach to model selection in Gaussian linear regression, where the number of predictors might be much larger than the number of observations. From a frequentist view, the proposed procedure results in the penalized…

Statistics Theory · Mathematics 2010-09-14 Felix Abramovich , Vadim Grinshtein

High-dimensional feature selection arises in many areas of modern science. For example, in genomic research we want to find the genes that can be used to separate tissues of different classes (e.g. cancer and normal) from tens of thousands…

Computation · Statistics 2018-07-20 Longhai Li , Weixin Yao

We develop the first algorithm able to jointly compute the maximum {\it a posteriori} estimate of the Cosmic Microwave Background (CMB) temperature and polarization fields, the gravitational potential by which they are lensed, and…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-17 Marius Millea , Ethan Anderes , Benjamin D. Wandelt
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