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Multi-view clustering attracts much attention recently, which aims to take advantage of multi-view information to improve the performance of clustering. However, most recent work mainly focus on self-representation based subspace…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Jianlong Wu , Zhouchen Lin , Hongbin Zha

In this paper, we consider maximum likelihood estimations of the degree of freedom parameter $\nu$, the location parameter $\mu$ and the scatter matrix $\Sigma$ of the multivariate Student-$t$ distribution. In particular, we are interested…

Statistics Theory · Mathematics 2022-09-07 Marzieh Hasannasab , Johannes Hertrich , Friederike Laus , Gabriele Steidl

Recently, multi-view learning (MVL) has garnered significant attention due to its ability to fuse discriminative information from multiple views. However, real-world multi-view datasets are often heterogeneous and imperfect, which usually…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Jie Xu , Na Zhao , Gang Niu , Masashi Sugiyama , Xiaofeng Zhu

We systematically study various network Expectation-Maximization (EM) algorithms for the Gaussian mixture model within the framework of decentralized federated learning. Our theoretical investigation reveals that directly extending the…

Machine Learning · Statistics 2024-11-11 Shuyuan Wu , Bin Du , Xuetong Li , Hansheng Wang

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

We study optimization for losses that admit a variance-mean scale-mixture representation. Under this representation, each EM iteration is a weighted least squares update in which latent variables determine observation and parameter weights;…

Computation · Statistics 2026-02-17 Nick Polson , Vadim Sokolov

Unsupervised learning has been widely used in many real-world applications. One of the simplest and most important unsupervised learning models is the Gaussian mixture model (GMM). In this work, we study the multi-task learning problem on…

Machine Learning · Statistics 2025-12-29 Ye Tian , Haolei Weng , Lucy Xia , Yang Feng

The EM (Expectation-Maximization) algorithm is regarded as an MM (Majorization-Minimization) algorithm for maximum likelihood estimation of statistical models. Expanding this view, this paper demonstrates that by choosing an appropriate…

Optimization and Control · Mathematics 2026-02-12 Kensuke Asai , Jun-ya Gotoh

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

Recent developments in system identification have brought attention to regularized kernel-based methods. This type of approach has been proven to compare favorably with classic parametric methods. However, current formulations are not…

Systems and Control · Computer Science 2016-11-25 Giulio Bottegal , Aleksandr Y. Aravkin , Håkan Hjalmarsson , Gianluigi Pillonetto

Mixture models serve as one fundamental tool with versatile applications. However, their training techniques, like the popular Expectation Maximization (EM) algorithm, are notoriously sensitive to parameter initialization and often suffer…

Machine Learning · Computer Science 2023-12-20 Yulai Cong , Sijia Li

In a mixture of linear regression model, the regression coefficients are treated as random vectors that may follow either a continuous or discrete distribution. We propose two Expectation-Maximization (EM) algorithms to estimate this prior…

Methodology · Statistics 2025-10-17 Andrew Welbaum , Wanli Qiao

Mixture of Experts (MoE) are successful models for modeling heterogeneous data in many statistical learning problems including regression, clustering and classification. Generally fitted by maximum likelihood estimation via the well-known…

Machine Learning · Statistics 2018-10-30 Faicel Chamroukhi , Bao-Tuyen Huynh

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

Methodology · Statistics 2021-10-20 Emily M. Goren , Ranjan Maitra

Probabilistic 3D point cloud registration methods have shown competitive performance in overcoming noise, outliers, and density variations. However, registering point cloud pairs in the case of partial overlap is still a challenge. This…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Guofeng Mei , Fabio Poiesi , Cristiano Saltori , Jian Zhang , Elisa Ricci , Nicu Sebe

In this paper, we outline the use of Mixture Models in density estimation of large astronomical databases. This method of density estimation has been known in Statistics for some time but has not been implemented because of the large…

Astrophysics · Physics 2007-05-23 A. J. Connolly , C. Genovese , A. W. Moore , R. C. Nichol , J. Schneider , L. Wasserman

In brain oncology, it is routine to evaluate the progress or remission of the disease based on the differences between a pre-treatment and a post-treatment Positron Emission Tomography (PET) scan. Background adjustment is necessary to…

Methodology · Statistics 2019-03-19 Meng Li , Armin Schwartzman

Existing multi-view classification algorithms focus on promoting accuracy by exploiting different views, typically integrating them into common representations for follow-up tasks. Although effective, it is also crucial to ensure the…

Machine Learning · Computer Science 2022-06-28 Zongbo Han , Changqing Zhang , Huazhu Fu , Joey Tianyi Zhou

In this paper, we present an algorithm for the fitting of a location-scale variant of the canonical fundamental skew t (CFUST) distribution, a superclass of the restricted and unrestricted skew t-distributions. In recent years, a few…

Methodology · Statistics 2014-02-03 Sharon X. Lee , Geoffrey J. McLachlan

Point base registration is an important part in many machine VISIOn applications, medical diagnostics, agricultural studies etc. The goal of point set registration is to find correspondences between different data sets and estimate the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Mohammad Sadegh Majdi , Emad Fatemizadeh