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This paper presents a structure-preserving Bayesian approach for learning nonseparable Hamiltonian systems using stochastic dynamic models allowing for statistically-dependent, vector-valued additive and multiplicative measurement noise.…

Machine Learning · Statistics 2024-07-23 Nicholas Galioto , Harsh Sharma , Boris Kramer , Alex Arkady Gorodetsky

We introduce a novel stochastic version of the non-reversible, rejection-free Bouncy Particle Sampler (BPS), a Markov process whose sample trajectories are piecewise linear. The algorithm is based on simulating first arrival times in a…

Computation · Statistics 2017-06-15 Ari Pakman , Dar Gilboa , David Carlson , Liam Paninski

This paper deals with the Bayesian estimation of high dimensional Gaussian graphical models. We develop a quasi-Bayesian implementation of the neighborhood selection method of Meinshausen and Buhlmann (2006) for the estimation of Gaussian…

Statistics Theory · Mathematics 2015-12-29 Yves Atchade

We present a novel computational approach for extracting weak signals, whose exact location and width may be unknown, from complex background distributions with an arbitrary functional form. We focus on datasets that can be naturally…

High Energy Physics - Experiment · Physics 2023-03-22 Abhijith Gandrakota , Amitabh Lath , Alexandre V. Morozov , Sindhu Murthy

Low-dose tomography is highly preferred in medical procedures for its reduced radiation risk when compared to standard-dose Computed Tomography (CT). However, the lower the intensity of X-rays, the higher the acquisition noise and hence the…

Image and Video Processing · Electrical Eng. & Systems 2019-12-24 Preeti Gopal , Sharat Chandran , Imants Svalbe , Ajit Rajwade

In the cold dark matter scenario, galactic dark matter halos are populated with a large number of smaller subhalos. Previous work has shown that dark matter annihilations in subhalos can generate a distinctive, non-Poisson signal in the…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-24 Jack Runburg , Eric J. Baxter , Jason Kumar

The strong dependence of the large-scale dark matter halo bias on the (local) non-Gaussianity parameter, f_NL, offers a promising avenue towards constraining primordial non-Gaussianity with large-scale structure surveys. In this paper, we…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-14 Beth A. Reid , Licia Verde , Klaus Dolag , Sabino Matarrese , Lauro Moscardini

Future Baryon Acoustic Oscillation surveys aim at observing galaxy clustering over a wide range of redshift and galaxy populations at great precision, reaching tenths of a percent, in order to detect any deviation of dark energy from the…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-31 Zhejie Ding , Hee-Jong Seo , Zvonimir Vlah , Yu Feng , Marcel Schmittfull , Florian Beutler

Galaxies are biased tracers of the underlying cosmic web, which is dominated by dark matter components that cannot be directly observed. Galaxy formation simulations can be used to study the relationship between dark matter density fields…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Victoria Ono , Core Francisco Park , Nayantara Mudur , Yueying Ni , Carolina Cuesta-Lazaro , Francisco Villaescusa-Navarro

A crucial aspect of mass-mapping, via weak lensing, is quantification of the uncertainty introduced during the reconstruction process. Properly accounting for these errors has been largely ignored to date. We present a new method to…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-16 Matthew A. Price , Jason D. McEwen , Xiaohao Cai , Thomas D. Kitching , Christopher G. R. Wallis

We study methods for reconstructing Bayesian uncertainties on dynamical mass estimates of galaxy clusters using convolutional neural networks (CNNs). We discuss the statistical background of approximate Bayesian neural networks and…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-16 Matthew Ho , Arya Farahi , Markus Michael Rau , Hy Trac

We quantify two main pathways through which baryonic physics biases cluster count cosmology. We create mock cluster samples that reproduce the baryon content inferred from X-ray observations. We link clusters to their counterparts in a dark…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-22 Stijn N. B. Debackere , Joop Schaye , Henk Hoekstra

We present a Bayesian approach to estimate the parameters of mathematical models of cardiac electrophysiology with quantified uncertainty. Such models capture the dynamics of the electrical signal that coordinates the muscle cell…

Numerical Analysis · Mathematics 2026-04-02 Maarten Volkaerts , Marie Cloet , Hans Dierckx , Piet Claus , Giovanni Samaey

We present improved modelling of the redshift-space distortions of galaxy clustering that arise from peculiar velocities. We create mock galaxy catalogues in the framework of the halo model, using data from the Bolshoi project. These mock…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-27 Shadab Alam , John A. Peacock , Daniel J. Farrow , J. Loveday , A. M. Hopkins

We present a novel Bayesian approach for high-dimensional grouped regression under sparsity. We leverage a sparse projection method that uses a sparsity-inducing map to derive an induced posterior on a lower-dimensional parameter space. Our…

Methodology · Statistics 2026-05-25 Samhita Pal , Subhashis Ghosal

Power spectrum estimation and evaluation of associated errors in the presence of incomplete sky coverage; non-homogeneous, correlated instrumental noise; and foreground emission is a problem of central importance for the extraction of…

Astrophysics · Physics 2016-08-30 J. Jewell , S. Levin , C. H. Anderson

We revisit the issue of non-parametric gravitational lens reconstruction and present a new method to obtain the cluster mass distribution using strong lensing data without using any prior information on the underlying mass. The method…

Astrophysics · Physics 2009-10-07 J. M. Diego , P. Protopapas , H. B Sandvik , M. Tegmark

We present two different halo-independent methods to assess the compatibility of several direct dark matter detection data sets for a given dark matter model using a global likelihood consisting of at least one extended likelihood and an…

High Energy Physics - Phenomenology · Physics 2016-10-26 Graciela B. Gelmini , Ji-Haeng Huh , Samuel J. Witte

Gravitational non-linear evolution induces a shift in the position of the baryon acoustic oscillations (BAO) peak together with a damping and broadening of its shape that bias and degrades the accuracy with which the position of the peak…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-12 Andrej Obuljen , Francisco Villaescusa-Navarro , Emanuele Castorina , Matteo Viel

We propose a Bayesian nonparametric mixture model for the reconstruction and prediction from observed time series data, of discretized stochastic dynamical systems, based on Markov Chain Monte Carlo methods (MCMC). Our results can be used…

Applications · Statistics 2017-10-03 Christos Merkatas , Konstantinos Kaloudis , Spyridon J. Hatjispyros
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