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We show that the method of maximum likelihood (MML) provides us with an efficient scheme for reconstruction of quantum channels from incomplete measurement data. By construction this scheme always results in estimations of channels that are…

Quantum Physics · Physics 2009-11-11 Mario Ziman , Martin Plesch , Vladimir Buzek , Peter Stelmachovic

Accelerated algorithms for maximum likelihood image reconstruction are essential for emerging applications such as 3D tomography, dynamic tomographic imaging, and other high dimensional inverse problems. In this paper, we introduce and…

Computation · Statistics 2012-01-31 Stéphane Chrétien , Alfred O. Hero

Muon radiography is an imaging technique based on muon absorption in matter that allows measurement of internal details in hidden objects or structures. This technique relies on measuring cosmic-ray muons tracks accurately, which reflects…

Instrumentation and Detectors · Physics 2025-10-23 Yu Wang , Shubin Liu , Zhihang Yao , Yulin Liu , Zhiyong Zhang , Zhengyang He , Ziwen Pan , Changqing Feng

We introduce an optimization model for maximum likelihood-type estimation (M-estimation) that generalizes a large class of existing statistical models, including Huber's concomitant M-estimator, Owen's Huber/Berhu concomitant estimator, the…

Statistics Theory · Mathematics 2018-10-09 Patrick L. Combettes , Christian L. Müller

The masking-one-out (MOO) procedure, masking an observed entry and comparing it versus its imputed values, is a very common procedure for comparing imputation models. We study the optimum of this procedure and generalize it to a missing…

Methodology · Statistics 2025-11-14 Yanjiao Yang , Daniel Suen , Yen-Chi Chen

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the…

Computer Vision and Pattern Recognition · Computer Science 2010-01-06 E. Shaked , O. Michailovich

In this paper, we propose a maximum smoothed likelihood method to estimate the component density functions of mixture models, in which the mixing proportions are known and may differ among observations. The proposed estimates maximize a…

Methodology · Statistics 2014-07-14 Tao Yu , Pengfei Li , Jing Qin

Magnetic resonance imaging (MRI) is mainly limited by long scanning time and vulnerable to human tissue motion artifacts, in 3D clinical scenarios. Thus, k-space undersampling is used to accelerate the acquisition of MRI while leading to…

Image and Video Processing · Electrical Eng. & Systems 2022-01-11 Shengke Xue , Ruiliang Bai , Xinyu Jin

The past several decades have seen significant advancement in applications using cosmic-ray muons for tomography scanning of unknown objects. One of the most promising developments is the application of this technique in border security for…

Instrumentation and Detectors · Physics 2026-05-05 Z. Zaher , H. Lay , T. Dorigo , A. Giammanco , V. Gulik , C. Hrytsiuk , V. A. Kudryavtsev , M. Lagrange , T. Metspalu , G. C. Strong , C. Turkoglu , P. Vischia

Multi-look acquisition is a widely used strategy for reducing speckle noise in coherent imaging systems such as digital holography. By acquiring multiple measurements, speckle can be suppressed through averaging or joint reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2026-04-23 Xi Chen , Arian Maleki , Shirin Jalali

The goal of the trace reconstruction problem is to recover a string $x\in\{0,1\}^n$ given many independent {\em traces} of $x$, where a trace is a subsequence obtained from deleting bits of $x$ independently with some given probability…

Information Theory · Computer Science 2024-01-30 Kuan Cheng , Elena Grigorescu , Xin Li , Madhu Sudan , Minshen Zhu

In this paper we present a spatially-adaptive method for image reconstruction that is based on the concept of statistical multiresolution estimation as introduced in [Frick K, Marnitz P, and Munk A. "Statistical multiresolution Dantzig…

Applications · Statistics 2012-04-19 Klaus Frick , Philipp Marnitz , Axel Munk

In this paper, we address the problem of denoising images degraded by Poisson noise. We propose a new patch-based approach based on best linear prediction to estimate the underlying clean image. A simplified prediction formula is derived…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Milad Niknejad , Mario A. T. Figueiredo

Cosmic-ray muon sources exhibit distinct scattering angle distributions when interacting with materials of different atomic numbers (Z values), facilitating the identification of various Z-class materials, particularly those radioactive…

Instrumentation and Detectors · Physics 2025-04-18 Haochen Wang , Zhao Zhang , Pei Yu , Yuxin Bao , Jiajia Zhai , Yu Xu , Li Deng , Sa Xiao , Xueheng Zhang , Yuhong Yu , Weibo He , Liangwen Chen , Yu Zhang , Lei Yang , Zhiyu Sun

We treat an image restoration problem with a Poisson noise chan- nel using a Bayesian framework. The Poisson randomness might be appeared in observation of low contrast object in the field of imaging. The noise observation is often hard to…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Hayaru Shouno

The CLEAN deconvolution algorithm has well-known limitations due to the restriction of locating point source model components on a discretized grid. In this letter we demonstrate that these limitations are even more pronounced when applying…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 M. R. Bell , N. Oppermann , A. Crai , T. A. Enßlin

After decades of research in Direction of Arrival (DoA) estimation, today Maximum Likelihood (ML) algorithms still provide the best performance in terms of resolution capabilities. At the cost of a multidimensional search, ML algorithms…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xavier Mestre , Pascal Vallet

Many surveys use maximum-likelihood (ML) methods to fit models when extracting photometry from images. We show these ML estimators systematically overestimate the flux as a function of the signal-to-noise ratio and the number of model…

Instrumentation and Methods for Astrophysics · Physics 2020-03-25 Stephen K. N. Portillo , Joshua S. Speagle , Douglas P. Finkbeiner

The principle of maximum conformality (PMC) is used to remove uncertainties in the renormalization scale and scheme, thus eliminating unnecessary systematic errors for high-precision perturbative Quantum Chromodynamics (pQCD) predictions.…

High Energy Physics - Phenomenology · Physics 2024-12-03 Daniel Salinas-Arizmendi , Claudio Dib , Ivan Schmidt

Accurate image reconstruction is at the heart of diagnostics in medical imaging. Supervised deep learning-based approaches have been investigated for solving inverse problems including image reconstruction. However, these trained models…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Danyal F. Bhutto , Bo Zhu , Jeremiah Z. Liu , Neha Koonjoo , Hongwei B. Li , Bruce R. Rosen , Matthew S. Rosen
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