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We propose a new algorithm to approximate the Earth Mover's distance (EMD). Our main idea is motivated by the theory of optimal transport, in which EMD can be reformulated as a familiar $L_1$ type minimization. We use a regularization which…

Numerical Analysis · Mathematics 2016-12-15 Wuchen Li , Stanley Osher , Wilfrid Gangbo

Given a structure made up of n sites connected by b bars, the problem of recognizing which subsets of sites form rigid units is not a trivial one, because of the non-local character of rigidity in central-force systems. Even though this is…

Computational Physics · Physics 2016-09-08 Cristian F. Moukarzel

We developed a method to characterize arbitrary superpositions of light orbital angular momentum (OAM) with high fidelity by using astigmatic tomography and machine learning processing. In order to define each superposition unequivocally,…

Target detection is pivotal for modern urban computing applications. While image-based techniques are widely adopted, they falter under challenging environmental conditions such as adverse weather, poor lighting, and occlusion. To improve…

Image and Video Processing · Electrical Eng. & Systems 2024-02-29 Chen Zhu , Zhouxiang Zhao , Zejing Shan , Lijie Yang , Sijie Ji , Zhaohui Yang , Zhaoyang Zhang

The Expectation-Maximization (EM) algorithm has been predominantly used to approximate the maximum likelihood estimation of the location-scale Gaussian mixtures. However, when the models are over-specified, namely, the chosen number of…

Machine Learning · Statistics 2022-05-24 Tongzheng Ren , Fuheng Cui , Sujay Sanghavi , Nhat Ho

Expectation maximization (EM) is a technique for estimating maximum-likelihood parameters of a latent variable model given observed data by alternating between taking expectations of sufficient statistics, and maximizing the expected log…

Methodology · Statistics 2018-07-10 Donna Henderson , Gerton Lunter

Object Detection on the mobile system is a challenge in terms of everything. Nowadays, many object detection models have been designed, and most of them concentrate on precision. However, the computation burden of those models on mobile…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Yihao Wang , Ling Gao , Jie Ren , Rui Cao , Hai Wang , Jie Zheng , Quanli Gao

The performance of a modulation classifier is highly sensitive to channel signal-to-noise ratio (SNR). In this paper, we focus on amplitude-phase modulations and propose a modulation classification framework based on centralized data fusion…

Information Theory · Computer Science 2013-06-12 Onur Ozdemir , Ruoyu Li , Pramod K. Varshney

We investigate the application of the factor graph framework for blind joint channel estimation and symbol detection on time-variant linear inter-symbol interference channels. In particular, we consider the expectation maximization (EM)…

Information Theory · Computer Science 2025-02-04 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

This note aims to demonstrate that performing maximum-likelihood estimation for a mixture model is equivalent to minimizing over the parameters an optimal transport problem with entropic regularization. The objective is pedagogical: we seek…

Machine Learning · Statistics 2025-01-24 Titouan Vayer , Etienne Lasalle

Detecting objects efficiently from radar sensors has recently become a popular trend due to their robustness against adverse lighting and weather conditions compared with cameras. This paper presents an efficient object detection model for…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Zhiwei Lin , Weicheng Zheng , Yongtao Wang

Accurate detection of the centerline of a thick linear structure and good estimation of its thickness are challenging topics in many real-world applications such X-ray imaging, remote sensing and lane marking detection in road traffic.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Nafaa Nacereddine , Aicha Baya Goumeidane , Djemel Ziou

We study the convergence behavior of the Expectation Maximization (EM) algorithm on Gaussian mixture models with an arbitrary number of mixture components and mixing weights. We show that as long as the means of the components are separated…

Statistics Theory · Mathematics 2018-10-10 Ruofei Zhao , Yuanzhi Li , Yuekai Sun

One of the optimization goals of a particle accelerator is to reach the highest possible beam peak current. For that to happen the electron bunch propagating through the accelerator should be kept relatively short along the direction of its…

Instrumentation and Detectors · Physics 2018-06-28 Aleksander Mielczarek , Dariusz Makowski , Andrzej Napieralski , Christopher Gerth , Bernd Steffen

Given two matroids $\mathcal{M}_1$ and $\mathcal{M}_2$ over the same ground set, the matroid intersection problem is to find the maximum cardinality common independent set. In the weighted version of the problem, the goal is to find a…

Data Structures and Algorithms · Computer Science 2026-02-18 Aditi Dudeja , Mara Grilnberger

Modern data-driven and distributed learning frameworks deal with diverse massive data generated by clients spread across heterogeneous environments. Indeed, data heterogeneity is a major bottleneck in scaling up many distributed learning…

Machine Learning · Computer Science 2023-08-23 Amirhossein Reisizadeh , Khashayar Gatmiry , Asuman Ozdaglar

In this paper, we propose an efficient optimal joint channel estimation and data detection algorithm for massive MIMO wireless systems. Our algorithm is optimal in terms of the generalized likelihood ratio test (GLRT). For massive MIMO…

Information Theory · Computer Science 2016-03-09 Haider Ali Jasim Alshamary , Weiyu Xu

Estimators derived from a divergence criterion such as $\varphi-$divergences are generally more robust than the maximum likelihood ones. We are interested in particular in the so-called MD$\varphi$DE, an estimator built using a dual…

Computation · Statistics 2016-06-14 Diaa Al Mohamad , Michel Broniatowski

In this paper, we present LiRaNet, a novel end-to-end trajectory prediction method which utilizes radar sensor information along with widely used lidar and high definition (HD) maps. Automotive radar provides rich, complementary…

Computer Vision and Pattern Recognition · Computer Science 2020-11-16 Meet Shah , Zhiling Huang , Ankit Laddha , Matthew Langford , Blake Barber , Sidney Zhang , Carlos Vallespi-Gonzalez , Raquel Urtasun

We consider efficient estimation of flexible transformation models with interval-censored data. To reduce the dimension of semi-parametric models, the unknown monotone transformation function is approximated via monotone splines. A…

Methodology · Statistics 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun