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Expectation Maximization (EM) is the standard method to learn Gaussian mixtures. Yet its classic, centralized form is often infeasible, due to privacy concerns and computational and communication bottlenecks. Prior work dealt with data…

Machine Learning · Computer Science 2022-01-26 Pedro Valdeira , Cláudia Soares , João Xavier

In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous inversion techniques for multiscale problems seek a…

Numerical Analysis · Mathematics 2017-07-27 Eric T. Chung , Yalchin Efendiev , Bangti Jin , Wing Tat Leung , Maria Vasilyeva

This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM…

Analysis of PDEs · Mathematics 2016-11-15 Hongyu Liu , Jingni Xiao

Interference effects are usually observed by intensity measurement. Path indistinguishability by quantum complementarity principle requires projection of the interfering fields into a common indistinguishable mode before detection. On the…

Quantum Physics · Physics 2025-07-22 Yunxiao Zhang , Xuan Tang , Xueshi Guo , Liang Cui , Xiaoying Li , Z. Y. Ou

We investigate the potential of adaptive blind equalizers based on variational inference for carrier recovery in optical communications. These equalizers are based on a low-complexity approximation of maximum likelihood channel estimation.…

Signal Processing · Electrical Eng. & Systems 2022-09-16 Vincent Lauinger , Fred Buchali , Laurent Schmalen

We present a novel and accurate approximation for the distribution of the sum of equally correlated Nakagami-m variates. Ascertaining on this result we study the performance of Equal Gain Combining (EGC) receivers, operating over equally…

Information Theory · Computer Science 2009-08-26 Zoran Hadzi-Velkov , Nikola Zlatanov , George K. Karagiannidis

The cellular network of magnetic Induction (MI) communication holds promise in long-distance underground environments. In the traditional MI communication, there is no fast-fading channel since the MI channel is treated as a quasi-static…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Honglei Ma , Erwu Liu , Zhijun Fang , Rui Wang , Yongbin Gao , Wenjun Yu , Dongming Zhang

The problem of phase-noise compensation for correlated phase noise in coded multichannel optical transmission is investigated. To that end, a simple multichannel phase-noise model is considered and the maximum a posteriori detector for this…

Information Theory · Computer Science 2019-10-15 Arni F. Alfredsson , Erik Agrell , Henk Wymeersch

In Collaborative Intelligence, a deep neural network (DNN) is partitioned and deployed at the edge and the cloud for bandwidth saving and system optimization. When a model input is an image, it has been confirmed that the intermediate…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Kei Iino , Miho Takahashi , Hiroshi Watanabe , Ichiro Morinaga , Shohei Enomoto , Xu Shi , Akira Sakamoto , Takeharu Eda

Empirical divergence maximization (EDM) refers to a recently proposed strategy for estimating f-divergences and likelihood ratio functions. This paper extends the idea to empirical vector quantization where one seeks to empirically derive…

Information Theory · Computer Science 2015-06-03 Michael A. Lexa

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

Computational Engineering, Finance, and Science · Computer Science 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

A nondegenerate four-level N-type scheme was experimentally implemented to observe electromagnetically induced transparency (EIT) at the $^{87}$Rb D$_{2}$ line. Radiations of two independent external-cavity semiconductor lasers were used in…

Quantum Physics · Physics 2009-11-06 V. M. Entin , I. I. Ryabtsev , A. E. BoguslavskiI , I. M. Beterov

Endmember (EM) spectral variability can greatly impact the performance of standard hyperspectral image analysis algorithms. Extended parametric models have been successfully applied to account for the EM spectral variability. However, these…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

We consider the problem of estimating a signal corrupted by independent interference with the assistance of a cost-constrained helper who knows the interference causally or noncausally. When the interference is known causally, we…

Information Theory · Computer Science 2012-03-21 Yeow-Khiang Chia , Rajiv Soundararajan , Tsachy Weissman

We introduce the new concept of an EBV to assess the sensitivity of model outputs to changes in initial conditions for weather forecasting. The new algorithm, which we call the "Ensemble Bred Vector" or EBV, is based on collective dynamics…

Atmospheric and Oceanic Physics · Physics 2017-03-08 Nusret Balci , Anna L. Mazzucato , Juan M. Restrepo , George R. Sell

Spectral properties of random matrices play an important role in statistics, machine learning, communications, and many other areas. Engaging results regarding the convergence of the empirical spectral distribution (ESD) and the…

Statistics Theory · Mathematics 2025-07-08 Zeyan Zhuang , Xin Zhang , Dongfang Xu , Shenghui Song

We extend the well-known and widely used Exponential Random Graph Model (ERGM) by including nodal random effects to compensate for heterogeneity in the nodes of a network. The Bayesian framework for ERGMs proposed by Caimo and Friel (2011)…

Applications · Statistics 2015-01-13 Stephanie Thiemichen , Nial Friel , Alberto Caimo , Göran Kauermann

Missing exposure information is a very common feature of many observational studies. Here we study identifiability and efficient estimation of causal effects on vector outcomes, in such cases where treatment is unconfounded but partially…

Methodology · Statistics 2020-02-04 Edward H. Kennedy

We examine quantum interference effects due to absorption and emission from multiple atoms coupled to a waveguide and highlight the modifications they entail in regards to single-photon transport properties. A prominent upshot of these…

Optics · Physics 2019-07-17 Debsuvra Mukhopadhyay , Girish S. Agarwal

Inference and inverse problems are closely related concepts, both fundamentally involving the deduction of unknown causes or parameters from observed data. Bayesian inference, a powerful class of methods, is often employed to solve a…

Machine Learning · Statistics 2024-09-17 Yuan-Hao Wei , Yan-Jie Sun , Chen Zhang