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Algorithms with fast convergence, small number of data access, and low per-iteration complexity are particularly favorable in the big data era, due to the demand for obtaining \emph{highly accurate solutions} to problems with \emph{a large…

Machine Learning · Statistics 2016-11-16 Zebang Shen , Hui Qian , Chao Zhang , Tengfei Zhou

The input of most clustering algorithms is a symmetric matrix quantifying similarity within data pairs. Such a matrix is here turned into a quadratic set function measuring cluster score or similarity within data subsets larger than pairs.…

Discrete Mathematics · Computer Science 2015-09-30 Giovanni Rossi

We propose a clustering method, funWeightClustSkew, based on mixtures of functional linear regression models and three skewed multivariate distributions: the variance-gamma distribution, the skew-t distribution, and the normal-inverse…

Methodology · Statistics 2025-04-18 Cristina Anton , Roy Shivam Ram Shreshtth

We provide initial seedings to the Quick Shift clustering algorithm, which approximate the locally high-density regions of the data. Such seedings act as more stable and expressive cluster-cores than the singleton modes found by Quick…

Machine Learning · Computer Science 2018-05-22 Heinrich Jiang , Jennifer Jang , Samory Kpotufe

With the dawn of the Big Data era, data sets are growing rapidly. Data is streaming from everywhere - from cameras, mobile phones, cars, and other electronic devices. Clustering streaming data is a very challenging problem. Unlike the…

Machine Learning · Computer Science 2019-02-08 Shlomo Bugdary , Shay Maymon

Clustering under pairwise constraints is an important knowledge discovery tool that enables the learning of appropriate kernels or distance metrics to improve clustering performance. These pairwise constraints, which come in the form of…

Machine Learning · Computer Science 2022-03-24 Benedikt Boecking , Vincent Jeanselme , Artur Dubrawski

Longitudinal binary or count functional data are common in neuroscience, but are often too large to analyze with existing functional regression methods. We propose one-step penalized generalized estimating equations that supports…

Methodology · Statistics 2026-03-31 Gabriel Loewinger , Alex W. Levis , Erjia Cui , Francisco Pereira

We are concerned in clustering continuous data sets subject to non-ignorable missingness. We perform clustering with a specific semi-parametric mixture, under the assumption of conditional independence given the component. The mixture model…

Methodology · Statistics 2021-07-20 Marie Du Roy de Chaumaray , Matthieu Marbac

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

Methodology · Statistics 2022-01-19 Luca Insolia , Domenico Perrotta

Distributional (or distribution-valued) data are a new type of data arising from several sources and are considered as realizations of distributional variables. A new set of fuzzy c-means algorithms for data described by distributional…

Machine Learning · Statistics 2016-05-03 Antonio Irpino , Francisco De Carvalho , Rosanna Verde

Convex clustering has recently garnered increasing interest due to its attractive theoretical and computational properties, but its merits become limited in the face of high-dimensional data. In such settings, pairwise affinity terms that…

Methodology · Statistics 2021-04-02 Saptarshi Chakraborty , Jason Xu

We address the problem of generalized category discovery (GCD) that aims to partition a partially labeled collection of images; only a small part of the collection is labeled and the total number of target classes is unknown. To address…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Sua Choi , Dahyun Kang , Minsu Cho

A data filtering method for cluster analysis is proposed, based on minimizing a least squares function with a weighted $\ell_0$-norm penalty. To overcome the discontinuity of the objective function, smooth non-convex functions are employed…

Optimization and Control · Mathematics 2017-05-23 Andrea Cristofari

In this work we build a unifying framework to interpolate between density-driven and geometry-based algorithms for data clustering, and specifically, to connect the mean shift algorithm with spectral clustering at discrete and continuum…

Machine Learning · Statistics 2021-10-22 Katy Craig , Nicolás García Trillos , Dejan Slepčev

Compressive learning is an emerging approach to drastically reduce the memory footprint of large-scale learning, by first summarizing a large dataset into a low-dimensional sketch vector, and then decoding from this sketch the latent…

Machine Learning · Computer Science 2024-06-18 Ayoub Belhadji , Rémi Gribonval

A plethora of recent research has focused on improving the memory footprint and inference speed of deep networks by reducing the complexity of (i) numerical representations (for example, by deterministic or stochastic quantization) and (ii)…

Machine Learning · Computer Science 2019-04-05 David Hartmann , Michael Wand

We propose a mixture of latent trait models with common slope parameters (MCLT) for model-based clustering of high-dimensional binary data, a data type for which few established methods exist. Recent work on clustering of binary data, based…

Methodology · Statistics 2017-10-09 Yang Tang , Ryan P. Browne , Paul D. McNicholas

With the membership function being strictly positive, the conventional fuzzy c-means clustering method sometimes causes imbalanced influence when clusters of vastly different sizes exist. That is, an outstandingly large cluster drags to its…

Machine Learning · Statistics 2023-03-28 Akira R. Kinjo , Daphne Teck Ching Lai

The $k$-means algorithm is arguably the most popular nonparametric clustering method but cannot generally be applied to datasets with incomplete records. The usual practice then is to either impute missing values under an assumed…

Machine Learning · Statistics 2018-09-11 Andrew Lithio , Ranjan Maitra

In this work, we focus on the efficiency and scalability of pairwise constraint-based active clustering, crucial for processing large-scale data in applications such as data mining, knowledge annotation, and AI model pre-training. Our goals…

Machine Learning · Computer Science 2025-09-11 Wen-Bo Xie , Xun Fu , Bin Chen , Yan-Li Lee , Tao Deng , Tian Zou , Xin Wang , Zhen Liu , Jaideep Srivastavad
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