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The Gaussian mixture model (GMM) provides a simple yet principled framework for clustering, with properties suitable for statistical inference. In this paper, we propose a new model-based clustering algorithm, called EGMM (evidential GMM),…

机器学习 · 计算机科学 2022-11-29 Lianmeng Jiao , Thierry Denoeux , Zhun-ga Liu , Quan Pan

We develop here a semiparametric Gaussian mixture model (SGMM) for unsupervised learning with valuable spatial information taken into consideration. Specifically, we assume for each instance a random location. Then, conditional on this…

统计方法学 · 统计学 2025-10-21 Baichen Yu , Jin Liu , Hansheng Wang

We introduce an unsupervised clustering algorithm to improve training efficiency and accuracy in predicting energies using molecular-orbital-based machine learning (MOB-ML). This work determines clusters via the Gaussian mixture model (GMM)…

化学物理 · 物理学 2023-03-28 Lixue Cheng , Jiace Sun , Thomas F. Miller

This letter presents a continuous probabilistic modeling methodology for spatial point cloud data using finite Gaussian Mixture Models (GMMs) where the number of components are adapted based on the scene complexity. Few hierarchical and…

机器学习 · 计算机科学 2023-03-14 Kshitij Goel , Nathan Michael , Wennie Tabib

This letter describes an incremental multimodal surface mapping methodology, which represents the environment as a continuous probabilistic model. This model enables high-resolution reconstruction while simultaneously compressing spatial…

机器人学 · 计算机科学 2024-04-18 Kshitij Goel , Wennie Tabib

We consider the problem of clustering data points in high dimensions, i.e. when the number of data points may be much smaller than the number of dimensions. Specifically, we consider a Gaussian mixture model (GMM) with non-spherical…

统计理论 · 数学 2014-06-10 Martin Azizyan , Aarti Singh , Larry Wasserman

Clustering mixed data presents numerous challenges inherent to the very heterogeneous nature of the variables. A clustering algorithm should be able, despite of this heterogeneity, to extract discriminant pieces of information from the…

机器学习 · 计算机科学 2022-05-10 Robin Fuchs , Denys Pommeret , Cinzia Viroli

Gaussian Mixture Models (GMM) do not adapt well to curved and strongly nonlinear data. However, we can use Gaussians in the curvilinear coordinate systems to solve this problem. Moreover, such a solution allows for the adaptation of…

计算机视觉与模式识别 · 计算机科学 2023-04-05 Krzysztof Byrski , Przemysław Spurek , Jacek Tabor

PPGMMGA is a Projection Pursuit (PP) algorithm aimed at detecting and visualizing clustering structures in multivariate data. The algorithm uses the negentropy as PP index obtained by fitting Gaussian Mixture Models (GMMs) for density…

统计方法学 · 统计学 2021-10-22 Luca Scrucca

This paper investigates Gaussian copula mixture models (GCMM), which are an extension of Gaussian mixture models (GMM) that incorporate copula concepts. The paper presents the mathematical definition of GCMM and explores the properties of…

机器学习 · 计算机科学 2023-05-25 Ke Wan , Alain Kornhauser

In order to cluster or partition data, we often use Expectation-and-Maximization (EM) or Variational approximation with a Gaussian Mixture Model (GMM), which is a parametric probability density function represented as a weighted sum of…

机器学习 · 计算机科学 2013-07-04 Ji Won Yoon

Mixture models with Gamma and or inverse-Gamma distributed mixture components are useful for medical image tissue segmentation or as post-hoc models for regression coefficients obtained from linear regression within a Generalised Linear…

机器学习 · 统计学 2016-07-27 A. Llera , D. Vidaurre , R. H. R. Pruim , C. F. Beckmann

Cluster-weighted modeling (CWM) is a mixture approach for modeling the joint probability of a response variable and a set of explanatory variables. The parameters are estimated by means of the expectation-maximization algorithm according to…

统计计算 · 统计学 2013-08-09 Salvatore Ingrassia , Simona C. Minotti

Gaussian mixture models form a flexible and expressive parametric family of distributions that has found applications in a wide variety of applications. Unfortunately, fitting these models to data is a notoriously hard problem from a…

统计理论 · 数学 2023-01-05 Yuling Yan , Kaizheng Wang , Philippe Rigollet

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…

机器学习 · 统计学 2015-08-27 Mu Qiao , Jia Li

Mixture models are a natural choice in many applications, but it can be difficult to place an a priori upper bound on the number of components. To circumvent this, investigators are turning increasingly to Dirichlet process mixture models…

统计理论 · 数学 2018-06-22 Łukasz Rajkowski

Learning a Gaussian Mixture Model (GMM) is hard when the number of parameters is too large given the amount of available data. As a remedy, we propose restricting the GMM to a Gaussian Markov Random Field Mixture Model (GMRF-MM), as well as…

机器学习 · 计算机科学 2022-01-25 Shahaf E. Finder , Eran Treister , Oren Freifeld

Gaussian Mixture Models (GMMs) are one of the most potent parametric density models used extensively in many applications. Flexibly-tied factorization of the covariance matrices in GMMs is a powerful approach for coping with the challenges…

机器学习 · 计算机科学 2023-11-14 Mohammad Pasande , Reshad Hosseini , Babak Nadjar Araabi

We introduce a trainable coded modulation scheme that enables joint optimization of the bit-wise mutual information (BMI) through probabilistic shaping, geometric shaping, bit labeling, and demapping for a specific channel model and for a…

信息论 · 计算机科学 2020-04-15 Fayçal Ait Aoudia , Jakob Hoydis

Registering accurately point clouds from a cheap low-resolution sensor is a challenging task. Existing rigid registration methods failed to use the physical 3D uncertainty distribution of each point from a real sensor in the dynamic…

计算机视觉与模式识别 · 计算机科学 2018-08-03 Can Pu , Nanbo Li , Radim Tylecek , Robert B Fisher
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