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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

Within scientific and real life problems, classification is a typical case of extremely complex tasks in data-driven scenarios, especially if approached with traditional techniques. Machine Learning supervised and unsupervised paradigms,…

Instrumentation and Methods for Astrophysics · Physics 2018-07-13 Giuseppe Angora , Massimo Brescia , Stefano Cavuoti , Giuseppe Riccio , Maurizio Paolillo , Thomas H. Puzia

Estimating position and orientation change of a mobile platform from two consecutive point clouds provided by a high-resolution sensor is a key problem in autonomous navigation. In particular, scan matching algorithms aim to find the…

Signal Processing · Electrical Eng. & Systems 2021-06-09 Rico Mendrzik , Florian Meyer

Gaussian mixture models (GMM) are the most widely used statistical model for the $k$-means clustering problem and form a popular framework for clustering in machine learning and data analysis. In this paper, we propose a natural semi-random…

Data Structures and Algorithms · Computer Science 2017-11-27 Pranjal Awasthi , Aravindan Vijayaraghavan

In robotic inspection, joint registration of multiple point clouds is an essential technique for estimating the transformation relationships between measured parts, such as multiple blades in a propeller. However, the presence of noise and…

Robotics · Computer Science 2024-09-17 Lingjie Su , Wei Xu , Shuyang Zhao , Yuqi Cheng , Wenlong Li

We investigate a Gaussian mixture model (GMM) with component means constrained in a pre-selected subspace. Applications to classification and clustering are explored. An EM-type estimation algorithm is derived. We prove that the subspace…

Machine Learning · Statistics 2015-08-27 Mu Qiao , Jia Li

This paper proposes an online learning method of Gaussian process state-space model (GP-SSM). GP-SSM is a probabilistic representation learning scheme that represents unknown state transition and/or measurement models as Gaussian processes…

Robotics · Computer Science 2024-10-30 Soon-Seo Park , Young-Jin Park , Youngjae Min , Han-Lim Choi

Conditional density estimation is complicated by multimodality, heteroscedasticity, and strong non-Gaussianity. Gaussian processes (GPs) provide a principled nonparametric framework with calibrated uncertainty, but standard GP regression is…

Machine Learning · Computer Science 2026-03-12 Vardaan Tekriwal , Mark D. Risser , Hengrui Luo , Marcus M. Noack

There is a trend to acquire high accuracy land-cover maps using multi-source classification methods, most of which are based on data fusion, especially pixel- or feature-level fusions. A probabilistic graphical model (PGM) approach is…

Applications · Statistics 2016-12-13 Jie Wang , Luyan Ji , Xiaomeng Huang , Haohuan Fu , Shiming Xu , Congcong Li

Due to their high computational complexity, deep neural networks are still limited to powerful processing units. To promote a reduced model complexity by dint of low-bit fixed-point quantization, we propose a gradient-based optimization…

Machine Learning · Computer Science 2019-07-18 Lukas Enderich , Fabian Timm , Lars Rosenbaum , Wolfram Burgard

This paper addresses the problem of generating dense point clouds from given sparse point clouds to model the underlying geometric structures of objects/scenes. To tackle this challenging issue, we propose a novel end-to-end learning-based…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Yue Qian , Junhui Hou , Sam Kwong , Ying He

In the mixture modeling frame, this paper presents the polynomial Gaussian cluster-weighted model (CWM). It extends the linear Gaussian CWM, for bivariate data, in a twofold way. Firstly, it allows for possible nonlinear dependencies in the…

Methodology · Statistics 2012-07-05 Antonio Punzo

Point clouds obtained from photogrammetry are noisy and incomplete models of reality. We propose an evolutionary optimization methodology that is able to approximate the underlying object geometry on such point clouds. This approach assumes…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Jean F. Liénard

This work presents an algorithm for scene change detection from point clouds to enable autonomous robotic caretaking in future space habitats. Autonomous robotic systems will help maintain future deep-space habitats, such as the Gateway…

Probability theory has become the predominant framework for quantifying uncertainty across scientific and engineering disciplines, with a particular focus on measurement and control systems. However, the widespread reliance on simple…

With the development of 3D sensing technologies, point clouds have attracted increasing attention in a variety of applications for 3D object representation, such as autonomous driving, 3D immersive tele-presence and heritage reconstruction.…

Computer Vision and Pattern Recognition · Computer Science 2019-01-01 Junkun Qi , Wei Hu , Zongming Guo

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

Machine Learning · Computer Science 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

We propose a novel Bayesian framework for changepoint detection in large-scale spherical spatiotemporal data, with broad applicability in environmental and climate sciences. Our approach models changepoints as spatially dependent…

Methodology · Statistics 2026-02-16 Samantha Shi-Jun , Bo Li

Density modeling is notoriously difficult for high dimensional data. One approach to the problem is to search for a lower dimensional manifold which captures the main characteristics of the data. Recently, the Gaussian Process Latent…

Machine Learning · Statistics 2010-07-14 Hannes Nickisch , Carl Edward Rasmussen

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby