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Novel Magnetic Resonance (MR) imaging modalities can quantify hemodynamics but require long acquisition times, precluding its widespread use for early diagnosis of cardiovascular disease. To reduce the acquisition times, reconstruction…

图像与视频处理 · 电气工程与系统科学 2022-01-12 Lauren Partin , Daniele E. Schiavazzi , Carlos A. Sing Long

We study noise in iterative reconstruction from discrete noisy data of a generalized Radon transform in the plane. Our approach builds on Local Reconstruction Analysis (LRA), a framework for analyzing reconstructions at the native scale. We…

数值分析 · 数学 2025-09-23 Alexander Katsevich

We study the effect of noise in the density field, such as would arise from a finite number density of tracers, on reconstruction of the acoustic peak within the context of Lagrangian perturbation theory. Reconstruction performs better when…

宇宙学与河外天体物理 · 物理学 2010-04-05 Martin White

Reconstructing a signal on a graph from noisy observations of a subset of the vertices is a fundamental problem in the field of graph signal processing. This paper investigates how sample size affects reconstruction error in the presence of…

信号处理 · 电气工程与系统科学 2026-02-26 Baskaran Sripathmanathan , Xiaowen Dong , Michael Bronstein

A complete first and second order statistical characterization of noise in SENSE reconstructed data is proposed. SENSE acquisitions have usually been modeled as Rician distributed, since the data reconstruction takes place into the spatial…

计算机视觉与模式识别 · 计算机科学 2014-02-18 Santiago Aja-Fernandez , Gonzalo Vegas-Sanchez-Ferrero , Antonio Trsitan-Vega

Quantitative morphologies, such as asymmetry and concentration, have long been used as an effective way to assess the distribution of galaxy starlight in large samples. Application of such quantitative indicators to other data products…

Reconstruction fidelity of sparse signals contaminated by sparse noise is considered. Statistical mechanics inspired tools are used to show that the l1-norm based convex optimization algorithm exhibits a phase transition between the…

信息论 · 计算机科学 2013-09-17 Mikko Vehkapera , Yoshiyuki Kabashima , Saikat Chatterjee

This paper investigates the problem of sparse signal recovery in the presence of additive impulsive noise. The heavytailed impulsive noise is well modelled with stable distributions. Since there is no explicit formulation for the…

信号处理 · 电气工程与系统科学 2018-04-13 Amirhossein Javaheri , Hadi Zayyani , Mario A. T. Figueiredo , Farrokh Marvasti

This paper studies density estimation and regression analysis with contaminated data observed on the unit hypersphere S^d. Our methodology and theory are based on harmonic analysis on general S^d. We establish novel nonparametric density…

统计理论 · 数学 2023-01-10 Jeong Min Jeon , Ingrid Van Keilegom

A lack of software reproducibility has become increasingly apparent in the last several years, calling into question the validity of scientific findings affected by published tools. Reproducibility issues may have numerous sources of error,…

神经元与认知 · 定量生物学 2020-04-23 Gregory Kiar , Pablo de Oliveira Castro , Pierre Rioux , Eric Petit , Shawn T. Brown , Alan C. Evans , Tristan Glatard

Random pulse sequences are a powerful method for qubit noise spectroscopy, enabling efficient reconstruction of sparse noise spectra. Here, we advance this method in two complementary directions. First, we extend the method using a…

量子物理 · 物理学 2026-01-07 Kaixin Huang , Demitry Farfurnik , Dror Baron , Yi-Kai Liu

We consider a wireless sensor network, sampling a bandlimited field, described by a limited number of harmonics. Sensor nodes are irregularly deployed over the area of interest or subject to random motion; in addition sensors measurements…

其他计算机科学 · 计算机科学 2009-11-13 A. Nordio , C. -F. Chiasserini , E. Viterbo

We focus on a multidimensional field with uncorrelated spectrum, and study the quality of the reconstructed signal when the field samples are irregularly spaced and affected by independent and identically distributed noise. More…

信息论 · 计算机科学 2009-11-13 A. Nordio , C-F. Chiasserini , E. Viterbo

Much of the discussion in the literature of the low frequency part of the density of states of amorphous solids was dominated for years by comparing measured or simulated density of states to the classical Debye model. Since this model is…

材料科学 · 物理学 2009-11-04 Valery Ilyin , Itamar Procaccia , Ido Regev , Yair Shokef

In Fourier-based medical imaging, sampling below the Nyquist rate results in an underdetermined system, in which linear reconstructions will exhibit artifacts. Another consequence of under-sampling is lower signal to noise ratio (SNR) due…

计算机视觉与模式识别 · 计算机科学 2016-10-04 Patrick Virtue , Michael Lustig

In principle, the state space of a chaotic attractor can be partially or wholly reconstructed from interspike intervals recorded from experiment. Under certain conditions, the quality of a partial reconstruction, as measured by the spike…

chao-dyn · 物理学 2008-02-03 R. Castro , T. Sauer

We investigate how dust foreground complexity can affect measurements of the tensor-to-scalar ratio, $r$, in the context of the Simons Observatory, using a cross-spectrum component separation analysis. Employing a suite of simulations with…

Noise removal from images is a part of image restoration in which we try to reconstruct or recover an image that has been degraded by using apriori knowledge of the degradation phenomenon. Noises present in images can be of various types…

计算机视觉与模式识别 · 计算机科学 2014-12-03 Poorna Banerjee Dasgupta

In this paper, compressed sensing with noisy measurements is addressed. The theoretically optimal reconstruction error is studied by evaluating Tanaka's equation. The main contribution is to show that in several regions, which have…

信息论 · 计算机科学 2013-02-19 Junan Zhu , Dror Baron

We examine the problem of selecting a small set of linear measurements for reconstructing high-dimensional signals. Well-established methods for optimizing such measurements include principal component analysis (PCA), independent component…

计算机视觉与模式识别 · 计算机科学 2025-08-06 Ling-Qi Zhang , Zahra Kadkhodaie , Eero P. Simoncelli , David H. Brainard
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