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As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

Methodology · Statistics 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

The performance of surface registration relies heavily on the metric used for the alignment error between the source and target shapes. Traditionally, such a metric is based on the point-to-point or point-to-plane distance from the points…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Zhi Deng , Yuxin Yao , Bailin Deng , Juyong Zhang

The nearest prototype classification is a less computationally intensive replacement for the $k$-NN method, especially when large datasets are considered. In metric spaces, centroids are often used as prototypes to represent whole clusters.…

Machine Learning · Computer Science 2021-07-06 Jaroslav Hlaváč , Martin Kopp , Jan Kohout

This paper proposes a correspondence-free method for point cloud rotational registration. We learn an embedding for each point cloud in a feature space that preserves the SO(3)-equivariance property, enabled by recent developments in…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Minghan Zhu , Maani Ghaffari , Huei Peng

We present a novel quantitative scheme of cluster classification based on the morphological properties that are manifested in X-ray images. We use a conventional radial surface brightness concentration parameter (c_{SB}) as defined…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 D. Nurgaliev , M. McDonald , B. A. Benson , E. D. Miller , C. W. Stubbs , A. Vikhlinin

Super-resolution of pointwise sources is of utmost importance in various areas of imaging sciences. Specific instances of this problem arise in single molecule fluorescence, spike sorting in neuroscience, astrophysical imaging, radar…

Optimization and Control · Mathematics 2023-11-17 Clarice Poon , Gabriel Peyré

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

Clustering with incomplete views is a challenge in multi-view clustering. In this paper, we provide a novel and simple method to address this issue. Specifically, the proposed method simultaneously exploits the local information of each…

Computer Vision and Pattern Recognition · Computer Science 2018-09-18 Jie Wen , Zheng Zhang , Yong Xu , Zuofeng Zhong

The Nystrom method has been popular for generating the low-rank approximation of kernel matrices that arise in many machine learning problems. The approximation quality of the Nystrom method depends crucially on the number of selected…

Machine Learning · Statistics 2016-12-21 Farhad Pourkamali-Anaraki , Stephen Becker

We propose a novel methodology for feature screening in clustering massive datasets, in which both the number of features and the number of observations can potentially be very large. Taking advantage of a fusion penalization based convex…

Methodology · Statistics 2017-10-05 Trambak Banerjee , Gourab Mukherjee , Peter Radchenko

Online deep clustering refers to the joint use of a feature extraction network and a clustering model to assign cluster labels to each new data point or batch as it is processed. While faster and more versatile than offline methods, online…

Machine Learning · Computer Science 2024-03-14 Louis Mahon , Thomas Lukasiewicz

We present SyNoRiM, a novel way to jointly register multiple non-rigid shapes by synchronizing the maps relating learned functions defined on the point clouds. Even though the ability to process non-rigid shapes is critical in various…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Jiahui Huang , Tolga Birdal , Zan Gojcic , Leonidas J. Guibas , Shi-Min Hu

The new generation of radio synthesis arrays, such as LOFAR and SKA, have been designed to surpass existing arrays in terms of sensitivity, angular resolution and frequency coverage. This evolution has led to the development of advanced…

Instrumentation and Methods for Astrophysics · Physics 2013-07-19 Sanaz Kazemi , Sarod Yatawatta , Saleem Zaroubi

This paper introduces new solvers for efficiently computing solutions to large-scale inverse problems with group sparsity regularization, including both non-overlapping and overlapping groups. Group sparsity regularization refers to a type…

Numerical Analysis · Mathematics 2023-06-16 Julianne Chung , Malena Sabaté Landman

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

We introduce Rectified Point Flow, a unified parameterization that formulates pairwise point cloud registration and multi-part shape assembly as a single conditional generative problem. Given unposed point clouds, our method learns a…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Tao Sun , Liyuan Zhu , Shengyu Huang , Shuran Song , Iro Armeni

Research into object deformations using computer vision techniques has been under intense study in recent years. A widely used technique is 3D non-rigid registration to estimate the transformation between two instances of a deforming…

Computer Vision and Pattern Recognition · Computer Science 2018-02-06 Marcelo Saval-Calvo , Jorge Azorin-Lopez , Andres Fuster-Guillo , Victor Villena-Martinez , Robert B. Fisher

In this work, we consider ill-posed inverse problems in which the forward operator is continuous and weakly closed, and the sought solution belongs to a weakly closed constraint set. We propose a regularization method based on minimizing…

Numerical Analysis · Mathematics 2025-05-27 Barbara Palumbo , Paolo Massa , Federico Benvenuto

Clustering is the task of gathering similar data samples into clusters without using any predefined labels. It has been widely studied in machine learning literature, and recent advancements in deep learning have revived interest in this…

Machine Learning · Computer Science 2023-09-04 Mohammadreza Sadeghi , Hadi Hojjati , Narges Armanfard

Network meta-analysis (NMA) synthesizes evidence for multiple treatments, but decisions on node formation can have important statistical implications including bias or inflated uncertainty. Existing data-driven methods often lack…

Methodology · Statistics 2025-06-30 Timothy Disher , Chris Cameron , Brian Hutton