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This paper presents a new approach to non-parametric cluster analysis called Adaptive Weights Clustering (AWC). The idea is to identify the clustering structure by checking at different points and for different scales on departure from…

Machine Learning · Statistics 2017-09-27 Kirill Efimov , Larisa Adamyan , Vladimir Spokoiny

In the past decades, spectral clustering (SC) has become one of the most effective clustering algorithms. However, most previous studies focus on spectral clustering tasks with a fixed task set, which cannot incorporate with a new spectral…

Machine Learning · Computer Science 2019-12-02 Gan Sun , Yang Cong , Qianqian Wang , Jun Li , Yun Fu

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

Methodology · Statistics 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Data plays a fundamental role in the training of Large Language Models (LLMs). While attention has been paid to the collection and composition of datasets, determining the data sampling strategy in training remains an open question. Most…

Computation and Language · Computer Science 2024-06-04 Yunfan Shao , Linyang Li , Zhaoye Fei , Hang Yan , Dahua Lin , Xipeng Qiu

In light of their capability to capture structural information while reducing computing complexity, anchor graph-based multi-view clustering (AGMC) methods have attracted considerable attention in large-scale clustering problems.…

Machine Learning · Computer Science 2025-09-19 Zhiyuan Xue , Ben Yang , Xuetao Zhang , Fei Wang , Zhiping Lin

With the explosive growth of multi-source data, multi-view clustering has attracted great attention in recent years. Most existing multi-view methods operate in raw feature space and heavily depend on the quality of original feature…

Machine Learning · Computer Science 2022-05-20 Liang Liu , Peng Chen , Guangchun Luo , Zhao Kang , Yonggang Luo , Sanchu Han

Performance of clustering algorithms is evaluated with the help of accuracy metrics. There is a great diversity of clustering algorithms, which are key components of many data analysis and exploration systems. However, there exist only few…

Data Structures and Algorithms · Computer Science 2019-02-18 Artem Lutov , Mourad Khayati , Philippe Cudré-Mauroux

Recent developed deep unsupervised methods allow us to jointly learn representation and cluster unlabelled data. These deep clustering methods mainly focus on the correlation among samples, e.g., selecting high precision pairs to gradually…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Jianlong Wu , Keyu Long , Fei Wang , Chen Qian , Cheng Li , Zhouchen Lin , Hongbin Zha

Traditional statistical inference in cluster randomized trials typically invokes the asymptotic theory that requires the number of clusters to approach infinity. In this article, we propose an alternative conformal causal inference…

Methodology · Statistics 2024-10-03 Bingkai Wang , Fan Li , Mengxin Yu

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

Social and Information Networks · Computer Science 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

Topological data analysis is a relatively new branch of machine learning that excels in studying high dimensional data, and is theoretically known to be robust against noise. Meanwhile, data objects with mixed numeric and categorical…

Algebraic Topology · Mathematics 2020-06-15 Chengyuan Wu , Carol Anne Hargreaves

Image clustering, which involves grouping images into different clusters without labels, is a key task in unsupervised learning. Although previous deep clustering methods have achieved remarkable results, they only explore the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Haixin Zhang , Yongjun Li , Dong Huang

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

Information Retrieval · Computer Science 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas

Multi-view clustering (MVC) aims to explore the common clustering structure across multiple views. Many existing MVC methods heavily rely on the assumption of view consistency, where alignments for corresponding samples across different…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Xihong Yang , Siwei Wang , Jiaqi Jin , Fangdi Wang , Tianrui Liu , Yueming Jin , Xinwang Liu , En Zhu , Kunlun He

Multi-label classification is a common challenge in various machine learning applications, where a single data instance can be associated with multiple classes simultaneously. The current paper proposes a novel tree-based method for…

Methodology · Statistics 2024-05-01 Chhavi Tyagi , Wenge Guo

Hierarchical clustering (HC) algorithms are generally limited to small data instances due to their runtime costs. Here we mitigate this shortcoming and explore fast HC algorithms based on random projections for single (SLC) and average…

Information Retrieval · Computer Science 2014-01-24 Johannes Schneider , Michail Vlachos

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

Machine Learning · Statistics 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

We propose a novel approach to the problem of clustering hierarchically aggregated time-series data, which has remained an understudied problem though it has several commercial applications. We first group time series at each aggregated…

Machine Learning · Computer Science 2022-05-30 Xing Han , Tongzheng Ren , Jing Hu , Joydeep Ghosh , Nhat Ho

The goal of data clustering is to partition data points into groups to minimize a given objective function. While most existing clustering algorithms treat each data point as vector, in many applications each datum is not a vector but a…

Machine Learning · Statistics 2017-03-16 Dinh Phung , Ba-Ngu Bo

This paper presents SeqClusFD, a top-down sequential clustering method for functional data. The clustering algorithm extracts the splitting information either from trajectories, first or second derivatives. Initial partition is based on gap…

Methodology · Statistics 2023-12-29 Ana Justel , Marcela Svarc
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