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Variational inference is a general approach for approximating complex density functions, such as those arising in latent variable models, popular in machine learning. It has been applied to approximate the maximum likelihood estimator and…

统计方法学 · 统计学 2018-04-19 Yen-Chi Chen , Y. Samuel Wang , Elena A. Erosheva

Accurate channel estimation is critical to fully exploit the beamforming gains when communicating with extremely large aperture arrays. The propagation distances between the user and receiver, which potentially has thousands of…

信号处理 · 电气工程与系统科学 2024-02-01 Alva Kosasih , Özlem Tuğfe Demir , Emil Björnson

Suppose data are fitted to some parametric model but that the true model happens to be one with an additional parameter. When a parameter is to be estimated one can use likelihood estimation in the wider model or in the narrow model.…

统计方法学 · 统计学 2026-03-27 Nils Lid Hjort

We perform the first bispectrum analysis of the final Planck release temperature and E-polarization CMB data, called PR4. We use the binned bispectrum estimator pipeline that was also used for the previous Planck releases as well as the…

宇宙学与河外天体物理 · 物理学 2025-10-29 Gabriel Jung , Michele Citran , Bartjan van Tent , Léa Dumilly , Nabila Aghanim

The 21-cm brightness temperature fluctuation from the Dark Ages ($z \simeq 30-100$) will allow us to probe the inflationary epoch on very small scales ($>0.1 \, \mbox{Mpc}^{-1}$), inaccessible to cosmic microwave background experiments.…

宇宙学与河外天体物理 · 物理学 2023-07-28 Giorgio Orlando , Thomas Flöss , P. Daniel Meerburg , Joseph Silk

This paper tackles the challenge presented by small-data to the task of Bayesian inference. A novel methodology, based on manifold learning and manifold sampling, is proposed for solving this computational statistics problem under the…

机器学习 · 统计学 2019-10-29 Christian Soize , Roger Ghanem

Using the consistency relation in Fourier space, we derive the observed galaxy bispectrum from single-field inflation in the squeezed limit, in which one of the three modes has a wavelength much longer than the other two. This provides a…

宇宙学与河外天体物理 · 物理学 2018-07-31 Kazuya Koyama , Obinna Umeh , Roy Maartens , Daniele Bertacca

We have used the Karl G. Jansky Very Large Array to image ~100 sq. deg. of SDSS Stripe 82 at 1-2 GHz. The survey consists of 1,026 snapshot observations of 2.5 minutes duration, using the hybrid CnB configuration. The survey has good…

The purpose of this paper is to study metrics suitable for assessing uncertainty of power spectra when these are based on finite second-order statistics. The family of power spectra which is consistent with a given range of values for the…

系统与控制 · 计算机科学 2015-03-20 Johan Karlsson , Tryphon T. Georgiou

We apply the needlet formalism to the Wilkinson Microwave Anisotropy Probe 5-year data, looking for evidence of non-Gaussianity in the bispectrum of the needlet amplitudes. We confirm earlier findings of an asymmetry in the non-Gaussianity…

宇宙学与河外天体物理 · 物理学 2015-05-13 Davide Pietrobon , Paolo Cabella , Amedeo Balbi , Robert Crittenden , Giancarlo de Gasperis , Nicola Vittorio

We propose a nonparametric parameter estimation of confidence intervals when the underlying has large or infinite variance. We explain the method by a simple numerical example and provide an application to estimate the coupling strength in…

统计理论 · 数学 2022-04-26 Anirban Das , Manfred Denker , Anna Levina , Lucia Tabacu

We identify universal signatures in the bispectrum arising from a transient tachyonic instability of entropic fluctuations during inflation, a phenomenon that naturally arises in hyperbolic field-space geometries. We perform exact numerical…

宇宙学与河外天体物理 · 物理学 2026-04-02 Shuntaro Aoki , Diederik Roest , Denis Werth

We use the long-wavelength formalism to investigate the level of bispectral non-Gaussianity produced in two-field inflation models with standard kinetic terms. Even though the Planck satellite has so far not detected any primordial…

宇宙学与河外天体物理 · 物理学 2017-05-17 Gabriel Jung , Bartjan van Tent

Focusing on the local type primordial non-Gaussianities, we study the bispectrum and trispectrum during a non-minimal slow-roll inflation. We use the so-called $\delta N$ formalism to investigate the super-horizon evolution of the…

宇宙学与河外天体物理 · 物理学 2018-08-28 Kosar Asadi , Kourosh Nozari

The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

信息论 · 计算机科学 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

We compute the bispectrum for the galaxy distribution in the IRAS QDOT, 2Jy, and 1.2Jy redshift catalogs for wavenumbers 0.05<k<0.2 h/Mpc and compare the results with predictions from gravitational instability in perturbation theory. Taking…

天体物理学 · 物理学 2009-10-31 R. Scoccimarro , H. A. Feldman , J. N. Fry , J. Frieman

Targeted amplicon panels are widely used in oncology diagnostics, but providing per-gene performance guarantees for copy number variant (CNV) detection remains challenging due to amplification artifacts, process-mismatch heterogeneity, and…

统计方法学 · 统计学 2026-04-17 Austin Talbot , Alex V. Kotlar , Yue Ke

Higher-order spectra (or polyspectra), defined as the Fourier Transform of a stationary process' autocumulants, are useful in the analysis of nonlinear and non Gaussian processes. Polyspectral means are weighted averages over Fourier…

统计理论 · 数学 2024-10-23 Dhrubajyoti Ghosh , Tucker McElroy , Soumendra Lahiri

This article proposes a biconvex modification to convex biclustering in order to improve its performance in high-dimensional settings. In contrast to heuristics that discard a subset of noisy features a priori, our method jointly learns and…

机器学习 · 统计学 2026-04-13 Sam Rosen , Eric C. Chi , Jason Xu
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