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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…

数值分析 · 数学 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…

计算物理 · 物理学 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…

图像与视频处理 · 电气工程与系统科学 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…

机器学习 · 统计学 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…

统计方法学 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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…

信息论 · 计算机科学 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)…

信息论 · 计算机科学 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…

机器学习 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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.…

计算机视觉与模式识别 · 计算机科学 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…

统计理论 · 数学 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…

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…

数据结构与算法 · 计算机科学 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…

机器学习 · 计算机科学 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…

信息论 · 计算机科学 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…

统计计算 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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…

统计方法学 · 统计学 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun