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Estimating the unconstrained mean and covariance matrix is a popular topic in statistics. However, estimation of the parameters of $N_p(\mu,\Sigma)$ under joint constraints such as $\Sigma\mu = \mu$ has not received much attention. It can…

Methodology · Statistics 2023-01-25 Anupam Kundu , Mohsen Pourahmadi

The use of multichannel data in line spectral estimation (or frequency estimation) is common for improving the estimation accuracy in array processing, structural health monitoring, wireless communications, and more. Recently proposed…

Information Theory · Computer Science 2018-10-15 Zai Yang , Jinhui Tang , Yonina C. Eldar , Lihua Xie

Most Relevant Explanation (MRE) is a method for finding multivariate explanations for given evidence in Bayesian networks [12]. This paper studies the theoretical properties of MRE and develops an algorithm for finding multiple top MRE…

Artificial Intelligence · Computer Science 2012-05-14 Changhe Yuan , Xiaolu Liu , Tsai-Ching Lu , Heejin Lim

Multifunction radars (MFR) are met with complex capability requirements, involving various kinds of targets and saturating scenarios. In order to achieve these goals, radar systems use Active Electronically Scanned Array (AESA) to switch…

Signal Processing · Electrical Eng. & Systems 2020-05-13 Christophe Labreuche , Cédric Buron , Peter Moo , Frédéric Barbaresco

In recent works, sparse models and convex optimization techniques have been applied to radio-interferometric (RI) imaging showing the potential to outperform state-of-the-art imaging algorithms in the field. In this talk, I will review our…

Instrumentation and Methods for Astrophysics · Physics 2015-02-19 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

We provide a complete characterization of the randomized Kaczmarz algorithm (RKA) for inconsistent linear systems. The Kaczmarz algorithm, known in some fields as the algebraic reconstruction technique, is a classical method for solving…

Numerical Analysis · Mathematics 2015-02-05 Chuang Wang , Ameya Agaskar , Yue M. Lu

Raman spectroscopy is an effective, low-cost, non-intrusive technique often used for chemical identification. Typical approaches are based on matching observations to a reference database, which requires careful preprocessing, or supervised…

Machine Learning · Computer Science 2022-10-12 Bo Li , Mikkel N. Schmidt , Tommy S. Alstrøm

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

Numerical Analysis · Mathematics 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

Convex regression (CR) is the problem of fitting a convex function to a finite number of noisy observations of an underlying convex function. CR is important in many domains and one of its workhorses is the non-parametric least square…

Information Theory · Computer Science 2020-03-03 Andrea Simonetto

Random-effects meta-analyses are very commonly used in medical statistics. Recent methodological developments include multivariate (multiple outcomes) and network (multiple treatments) meta-analysis. Here we provide a new model and…

Methodology · Statistics 2017-08-16 Dan Jackson , Sylwia Bujkiewicz , Martin Law , Richard D Riley , Ian White

Retrieval-based multimodal document QA aims to identify and integrate relevant information from visually rich documents with complex multimodal structures. While retrieval-augmented generation (RAG) has shown strong performance in…

Information Retrieval · Computer Science 2026-04-21 Hui Wu , Haoquan Zhai , Yuchen Li , Hengyi Cai , Peirong Zhang , Yidan Zhang , Lei Wang , Chunle Wang , Yingyan Hou , Shuaiqiang Wang , Dawei Yin

We consider the reconstruction of the shape and the impedance function of an obstacle from measurements of the scattered field at receivers outside the object. The data is assumed to be generated by plane waves impinging on the obstacle…

Numerical Analysis · Mathematics 2021-04-29 Carlos Borges , Manas Rachh

Multidimensional separations data have the capacity to reveal detailed information about complex biological samples. However, data analysis has been an ongoing challenge in the area since the peaks that represent chemical factors may drift…

Numerical Analysis · Mathematics 2025-02-19 Michael Sorochan Armstrong

Magnetic field inhomogeneity estimation is important in some types of magnetic resonance imaging (MRI), including field-corrected reconstruction for fast MRI with long readout times, and chemical shift based water-fat imaging. Regularized…

Image and Video Processing · Electrical Eng. & Systems 2020-10-13 Claire Yilin Lin , Jeffrey A. Fessler

In this paper, we propose a harmonized rotational gradient method, termed HRGrad, for simultaneously tackling multiscale time-dependent kinetic problems with varying small parameters. These parameters exhibit asymptotic transitions from…

Machine Learning · Computer Science 2026-04-28 Zhangyong Liang

Rotation averaging is a synchronization process on single or multiple rotation groups, and is a fundamental problem in many computer vision tasks such as multi-view structure from motion (SfM). Specifically, rotation averaging involves the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Xinyi Li , Haibin Ling

In this paper, we address the problem of target detection in the presence of coherent (or fully correlated) signals, which can be due to multipath propagation effects or electronic attacks by smart jammers. To this end, we formulate the…

Signal Processing · Electrical Eng. & Systems 2021-02-24 Sudan Han , Linjie Yan , Yuxuan Zhang , Pia Addabbo , Chengpeng Hao , Danilo Orlando

Towards understanding the fundamental limits of estimation from data of varied quality, we study the problem of estimating a mean parameter from heteroskedastic Gaussian observations where the variances are unknown and may vary arbitrarily…

Statistics Theory · Mathematics 2026-03-17 Yanjun Han , Abhishek Shetty , Jacob Shkrob

Because optical systems have huge bandwidth and are capable of generating low noise short pulses they are ideal for undersampling multi-band signals that are located within a very broad frequency range. In this paper we propose a new scheme…

Optics · Physics 2009-11-13 Amir Rosenthal , Alex Linden , Moshe Horowitz

Kernel ridge regression (KRR) is a widely used nonparametric method due to its strong theoretical guarantees and computational convenience. However, standard KRR does not distinguish between linear and nonlinear components in the signal,…

Statistics Theory · Mathematics 2026-05-13 Xin Bing , Chao Wang