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The subtle and unique imprint of dark matter substructure on extended arcs in strong lensing systems contains a wealth of information about the properties and distribution of dark matter on small scales and, consequently, about the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-25 Johann Brehmer , Siddharth Mishra-Sharma , Joeri Hermans , Gilles Louppe , Kyle Cranmer

We present a new technique to compute simultaneously valid confidence intervals for a set of model parameters. We apply our method to the Wilkinson Microwave Anisotropy Probe's (WMAP) Cosmic Microwave Background (CMB) data, exploring a…

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

Machine Learning · Statistics 2024-02-20 Amanda Lenzi , Haavard Rue

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

Methodology · Statistics 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

We introduce the notion of a Bayesian analysis motivated `reliability' that gives a truer distinction of cusp-core and other halo-parameters (like mass-concentration) in an ensemble of observed galaxies. Our approach goes beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-01 Manush Manju , Subhabrata Majumdar

We study the allowed parameter space of the constrained minimal supersymmetric Standard Model (cMSSM) in the light of direct searches, constraints from $B$-physics (including the recent measurement of the branching ratio for $B_s \to…

High Energy Physics - Phenomenology · Physics 2013-05-30 Diptimoy Ghosh , Monoranjan Guchait , Sreerup Raychaudhuri , Dipan Sengupta

In recent years, data dimensionality has increasingly become a concern, leading to many parameter and dimension reduction techniques being proposed in the literature. A parameter-wise co-clustering model, for data modelled via continuous…

Machine Learning · Statistics 2020-10-01 M. P. B. Gallaugher , C. Biernacki , P. D. McNicholas

The cold dark matter (CDM) paradigm provides a remarkably good description of the Universe's large-scale structure. However, some discrepancies exist between its predictions and observations at very small sub-galactic scales. To address…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-04 Atrideb Chatterjee , Sourav Mitra , Amrita Banerjee

In complicated/nonlinear parametric models, it is generally hard to know whether the model parameters are point identified. We provide computationally attractive procedures to construct confidence sets (CSs) for identified sets of full…

Methodology · Statistics 2022-06-06 Xiaohong Chen , Timothy Christensen , Elie Tamer

We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian route of putting a prior distribution complying with the monotonicity restriction,…

Statistics Theory · Mathematics 2023-06-09 Kang Wang , Subhashis Ghosal

Reliable confidence measures of metrics derived from medical imaging reconstruction pipelines would improve the standard of decision-making in many clinical workflows. Conformal Prediction (CP) provides a robust framework for producing…

We consider a linear regression model, with the parameter of interest a specified linear combination of the regression parameter vector. We suppose that, as a first step, a data-based model selection (e.g. by preliminary hypothesis tests or…

Statistics Theory · Mathematics 2011-09-27 Paul Kabaila , Khageswor Giri

In the Next-to-Minimal-Supersymmetric-Standard-Model (NMSSM) the lightest supersymmetric particle (LSP) is a candidate for the dark matter (DM) in the universe. It is a mixture from the various gauginos and Higgsinos and can be bino-,…

High Energy Physics - Phenomenology · Physics 2017-09-25 C. Beskidt , W. de Boer , D. I. Kazakov , S. Wayand

Many recently developed Bayesian methods have focused on sparse signal detection. However, much less work has been done addressing the natural follow-up question: how to make valid inferences for the magnitude of those signals after…

Methodology · Statistics 2021-03-02 Spencer Woody , Oscar Hernan Madrid Padilla , James G. Scott

The purpose of this paper is to propose methodologies for statistical inference of low-dimensional parameters with high-dimensional data. We focus on constructing confidence intervals for individual coefficients and linear combinations of…

Methodology · Statistics 2012-11-05 Cun-Hui Zhang , Stephanie S. Zhang

In this paper, we study frequentist coverage errors of Bayesian credible sets for an approximately linear regression model with (moderately) high dimensional regressors, where the dimension of the regressors may increase with but is smaller…

Statistics Theory · Mathematics 2019-12-06 Keisuke Yano , Kengo Kato

The Exceptional Supersymmetric Standard Model (E$_6$SSM) is a low energy alternative to the MSSM with an extra $U(1)$ gauge symmetry and three generations of matter filling complete 27-plet representations of $E_6$. This provides both new D…

High Energy Physics - Phenomenology · Physics 2017-03-01 P. Athron , A. W. Thomas , S. J. Underwood , M. J. White

Many statistical models in cosmology can be simulated forwards but have intractable likelihood functions. Likelihood-free inference methods allow us to perform Bayesian inference from these models using only forward simulations, free from…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-11 Justin Alsing , Benjamin Wandelt , Stephen Feeney

We outline the WIMP dark matter parameter space in the Constrained MSSM by performing a comprehensive statistical analysis that compares with experimental data predicted superpartner masses and other collider observables as well as a cold…

Astrophysics · Physics 2008-11-26 Roberto Trotta , Roberto Ruiz de Austri , Leszek Roszkowski

A cosmological model with total density close to critical (and flat geometry), dominated by dark matter and dark energy of unknown nature, and consistent with the basic predictions of the inflationary scenario is a very good fit to a…

Astrophysics · Physics 2007-05-23 A. Balbi
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