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Channel estimation in quantized systems is challenging, particularly in low-resolution systems. In this work, we propose to leverage a Gaussian mixture model (GMM) as generative prior, capturing the channel distribution of the propagation…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Benedikt Fesl , Aziz Banna , Wolfgang Utschick

A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

Machine Learning · Computer Science 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

The problem of source localization with ad hoc microphone networks in noisy and reverberant enclosures, given a training set of prerecorded measurements, is addressed in this paper. The training set is assumed to consist of a limited number…

Sound · Computer Science 2016-10-18 Bracha Laufer-Goldshtein , Ronen Talmon , Sharon Gannot

In this study, we address the challenge of constructing continuous three-dimensional (3D) models that accurately represent uncertain surfaces, derived from noisy and incomplete LiDAR scanning data. Building upon our prior work, which…

Robotics · Computer Science 2024-10-27 Qianqian Zou , Monika Sester

3D Gaussian Splatting (3DGS) is a powerful reconstruction technique, but it needs to be initialized from accurate camera poses and high-fidelity point clouds. Typically, the initialization is taken from Structure-from-Motion (SfM)…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Jizong Peng , Tze Ho Elden Tse , Kai Xu , Wenchao Gao , Angela Yao

Simultaneous localization and tracking (SLAT) in sensor networks aims to determine the positions of sensor nodes and a moving target in a network, given incomplete and inaccurate range measurements between the target and each of the…

Optimization and Control · Mathematics 2016-08-14 Pınar Oğuz-Ekim , João Gomes , João Xavier , Paulo Oliveira

Gaussian mixture models (GMMs) are fundamental statistical tools for modeling heterogeneous data. Due to the nonconcavity of the likelihood function, the Expectation-Maximization (EM) algorithm is widely used for parameter estimation of…

Statistics Theory · Mathematics 2025-11-10 Xin Bing , Dehan Kong , Bingqing Li

Finite mixture models are among the most popular statistical models used in different data science disciplines. Despite their broad applicability, inference under these models typically leads to computationally challenging non-convex…

Machine Learning · Computer Science 2018-09-25 Babak Barazandeh , Meisam Razaviyayn

Traffic forecasting is a challenging spatio-temporal modeling task and a critical component of urban transportation management. Current studies mainly focus on deterministic predictions, with limited considerations on the uncertainty and…

Machine Learning · Computer Science 2026-04-20 Weijiang Xiong , Robert Fonod , Nikolas Geroliminis

We present a new framework to detect various types of variable objects within massive astronomical time-series data. Assuming that the dominant population of objects is non-variable, we find outliers from this population by using a…

Instrumentation and Methods for Astrophysics · Physics 2010-01-17 Min-Su Shin , Michael Sekora , Yong-Ik Byun

The problem of non-rigid point set registration is a key problem for many computer vision tasks. In many cases the nature of the data or capabilities of the point detection algorithms can give us some prior information on point sets…

Computer Vision and Pattern Recognition · Computer Science 2018-12-17 Dmitry Lachinov , Vadim Turlapov

This paper is concerned with the modeling errors appeared in the numerical methods of inverse medium scattering problems (IMSP). Optimization based iterative methods are wildly employed to solve IMSP, which are computationally intensive due…

Numerical Analysis · Mathematics 2021-02-23 Junxiong Jia , Bangyu Wu , Jigen Peng , Jinghuai Gao

The method for image-to-point cloud registration typically determines the rigid transformation using a coarse-to-fine pipeline. However, directly and uniformly matching image patches with point cloud patches may lead to focusing on…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Zhixin Cheng , Jiacheng Deng , Xinjun Li , Baoqun Yin , Tianzhu Zhang

In this work, we propose variations of a Gaussian mixture model (GMM) based channel estimator that was recently proven to be asymptotically optimal in the minimum mean square error (MMSE) sense. We account for the need of low computational…

Information Theory · Computer Science 2023-06-06 Benedikt Fesl , Michael Joham , Sha Hu , Michael Koller , Nurettin Turan , Wolfgang Utschick

We consider the problem of positioning a cloud of points in the Euclidean space $\mathbb{R}^d$, using noisy measurements of a subset of pairwise distances. This task has applications in various areas, such as sensor network localization and…

Statistics Theory · Mathematics 2012-11-22 Adel Javanmard , Andrea Montanari

In this paper, we present a novel approach for multiview point cloud registration. Different from previous researches that typically employ a global scheme for multiview registration, we propose to adopt an incremental pipeline to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Xiaoya Cheng , Yu Liu , Maojun Zhang , Shen Yan

We consider the problem of estimating a cloud of points from numerous noisy observations of that cloud after unknown rotations, and possibly reflections. This is an instance of the general problem of estimation under group action,…

Statistics Theory · Mathematics 2021-05-25 Thomas Pumir , Amit Singer , Nicolas Boumal

Point clouds are a popular representation for 3D shapes. However, they encode a particular sampling without accounting for shape priors or non-local information. We advocate for the use of a hierarchical Gaussian mixture model (hGMM), which…

Machine Learning · Computer Science 2020-03-31 Amir Hertz , Rana Hanocka , Raja Giryes , Daniel Cohen-Or

Motivated by the structure reconstruction problem in single-particle cryo-electron microscopy, we consider the multi-target detection model, where multiple copies of a target signal occur at unknown locations in a long measurement, further…

Information Theory · Computer Science 2020-04-22 Ti-Yen Lan , Tamir Bendory , Nicolas Boumal , Amit Singer

We present a simple algorithm for identifying and correcting real-valued noisy labels from a mixture of clean and corrupted sample points using Gaussian process regression. A heteroscedastic noise model is employed, in which additive…

Machine Learning · Computer Science 2021-03-30 Yu-Hang Tang , Yuanran Zhu , Wibe A. de Jong