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This article discusses a generalization of the 1-dimensional multi-reference alignment problem. The goal is to recover a hidden signal from many noisy observations, where each noisy observation includes a random translation and random…

信号处理 · 电气工程与系统科学 2021-07-06 Matthew Hirn , Anna Little

Compressed sensing deals with the reconstruction of sparse signals using a small number of linear measurements. One of the main challenges in compressed sensing is to find the support of a sparse signal. In the literature, several bounds on…

信息论 · 计算机科学 2009-11-26 Ali Hormati , Amin Karbasi , Soheil Mohajer , Martin Vetterli

Cross-correlations between 21cm observations and galaxy surveys provide a powerful probe of reionization by reducing foreground sensitivity while linking ionization morphology to galaxies. We quantify the constraining power of 21cm-Galaxy…

宇宙学与河外天体物理 · 物理学 2026-01-27 Yannic Pietschke , Anne Hutter , Caroline Heneka

We present a method for extracting the expected cosmological 21-cm signal from the epoch of reionization, taking into account contaminating radiations and random instrumental noise. The method is based on the maximum a-posteriori…

天体物理学 · 物理学 2008-12-21 Liron Gleser , Adi Nusser , Andrew J. Benson

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

信息论 · 计算机科学 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi

We investigate the cross-correlation between the spatial distribution of Lyman Break Galaxies (LBGs) and the 21cm intensity mapping signal at $z\sim[3-5]$. At these redshifts, galactic feedback is supposed to only marginally affect the…

宇宙学与河外天体物理 · 物理学 2015-12-09 Francisco Villaescusa-Navarro , Matteo Viel , David Alonso , Kanan K. Datta , Philip Bull , Mario G. Santos

We present a new estimator for the cross-correlation signal between line intensity maps to probe the Epoch of Reionization. The proposed estimator is the hitherto neglected antisymmetric component of the cross-correlation, under the…

宇宙学与河外天体物理 · 物理学 2020-08-26 Gabriela Sato-Polito , José Luis Bernal , Ely D. Kovetz , Marc Kamionkowski

Sparsity is a ubiquitous feature of many real world signals such as natural images and neural spiking activities. Conventional compressed sensing utilizes sparsity to recover low dimensional signal structures in high ambient dimensions…

统计理论 · 数学 2018-07-02 Abbas Kazemipour

Compressive sampling has great potential for making wideband spectrum sensing possible at sub-Nyquist sampling rates. As a result, there have recently been research efforts that leverage compressive sampling to enable efficient wideband…

信息论 · 计算机科学 2017-07-21 Bassem Khalfi , Bechir Hamdaoui , Mohsen Guizani , Nizar Zorba

Analyzing and visualizing scientific ensemble datasets with high dimensionality and complexity poses significant challenges. Dimensionality reduction techniques and autoencoders are powerful tools for extracting features, but they often…

机器学习 · 计算机科学 2026-01-19 Hamid Gadirov , Lennard Manuel , Steffen Frey

We have developed a fast, accurate and generally applicable method for inferring the power spectrum and its uncertainties from maps of the cosmic microwave background (CMB) in the presence of inhomogeneous and correlated noise. For maps…

天体物理学 · 物理学 2014-10-13 O. Doré , L. Knox , A. Peel

In the recent years, the internal-linear-combination (ILC) method was investigated extensively in the context of reconstruction of Cosmic Microwave Background (CMB) temperature anisotropy signal using observations obtained by WMAP and…

宇宙学与河外天体物理 · 物理学 2021-01-06 Ujjal Purkayastha , Vipin Sudevan , Rajib Saha

21 cm intensity mapping has arisen as a powerful probe of the high-redshift universe, but its potential is limited by extremely bright foregrounds and high source confusion. In this Letter, we propose a new analysis which can help solve…

宇宙学与河外天体物理 · 物理学 2019-12-11 Patrick C. Breysse , Christopher J. Anderson , Philippe Berger

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

信息论 · 计算机科学 2014-05-02 Armin Eftekhari , Michael B. Wakin

We consider the scenario in which multiple sensors send spatially correlated data to a fusion center (FC) via independent Rayleigh-fading channels with additive noise. Assuming that the sensor data is sparse in some basis, we show that the…

信息论 · 计算机科学 2015-06-12 Gang Yang , Vincent Y. F. Tan , Chin Keong Ho , See Ho Ting , Yong Liang Guan

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

数值分析 · 数学 2009-05-28 Deanna Needell

Contamination of interloper galaxies due to misidentified emission lines can be a big issue in the spectroscopic galaxy clustering surveys, especially in future high-precision observations. We propose a statistical method based on the…

宇宙学与河外天体物理 · 物理学 2021-10-14 Yan Gong , Haitao Miao , Pengjie Zhang , Xuelei Chen

The 21 cm intensity mapping (IM) technique provides us with an efficient way to observe the cosmic large-scale structure (LSS). From the LSS data, one can use the baryon acoustic oscillation and redshift space distortion to trace the…

宇宙学与河外天体物理 · 物理学 2023-06-07 Peng-Ju Wu , Yichao Li , Jing-Fei Zhang , Xin Zhang

Line intensity mapping using atomic hydrogen (HI) has the potential to efficiently map large volumes of the universe if the signal can be successfully separated from overwhelmingly bright radio foreground emission. This motivates…

We present a new method that deals with the uncertainty in matter-clustering in cosmic shear power spectrum analysis that arises mainly due to poorly understood nonlinear baryonic processes on small-scales. We show that the majority of…

宇宙学与河外天体物理 · 物理学 2015-05-20 T. D. Kitching , A. N. Taylor