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Clustering is a fundamental problem in data analysis. In differentially private clustering, the goal is to identify $k$ cluster centers without disclosing information on individual data points. Despite significant research progress, the…

Machine Learning · Computer Science 2021-12-30 Edith Cohen , Haim Kaplan , Yishay Mansour , Uri Stemmer , Eliad Tsfadia

An approach to improve neural network interpretability is via clusterability, i.e., splitting a model into disjoint clusters that can be studied independently. We define a measure for clusterability and show that pre-trained models form…

Machine Learning · Computer Science 2025-07-28 Satvik Golechha , Maheep Chaudhary , Joan Velja , Alessandro Abate , Nandi Schoots

Clustering traditionally aims to reveal a natural grouping structure within unlabeled data. However, this structure may not always align with users' preferences. In this paper, we propose a personalized clustering method that explicitly…

Machine Learning · Computer Science 2025-05-28 Xiwen Geng , Suyun Zhao , Yixin Yu , Borui Peng , Pan Du , Hong Chen , Cuiping Li , Mengdie Wang

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

Machine Learning · Computer Science 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

We introduce a novel algorithm that leverages stochastic sampling techniques to compute the perturbative triples correction in the coupled-cluster (CC) framework. By combining elements of randomness and determinism, our algorithm achieves a…

Chemical Physics · Physics 2024-05-29 Yann Damour , Alejandro Gallo , Anthony Scemama

Standard agglomerative clustering suggests establishing a new reliable linkage at every step. However, in order to provide adaptive, density-consistent and flexible solutions, we study extracting all the reliable linkages at each step,…

Machine Learning · Computer Science 2023-01-02 Morteza Haghir Chehreghani

The non-stationary nature of data streams strongly challenges traditional machine learning techniques. Although some solutions have been proposed to extend traditional machine learning techniques for handling data streams, these approaches…

Machine Learning · Computer Science 2021-06-23 Xuyang Yan , Abdollah Homaifar , Mrinmoy Sarkar , Abenezer Girma , Edward Tunstel

In this paper, we present the first differentially private clustering method for arbitrary-shaped node clusters in a graph. This algorithm takes as input only an approximate Minimum Spanning Tree (MST) $\mathcal{T}$ released under weight…

Data Structures and Algorithms · Computer Science 2018-03-13 Rafael Pinot , Anne Morvan , Florian Yger , Cédric Gouy-Pailler , Jamal Atif

In this paper we present a novel iterative multiphase clustering technique for efficiently clustering high dimensional data points. For this purpose we implement clustering feature (CF) tree on a real data set and a Gaussian density…

Machine Learning · Computer Science 2014-11-13 Chandrima Sarkar , Atanu Roy

Partitioning a set of elements into an unknown number of mutually exclusive subsets is essential in many machine learning problems. However, assigning elements, such as samples in a dataset or neurons in a network layer, to an unknown and…

Machine Learning · Computer Science 2023-11-10 Thomas M. Sutter , Alain Ryser , Joram Liebeskind , Julia E. Vogt

This paper considers a canonical clustering problem where one receives unlabeled samples drawn from a balanced mixture of two elliptical distributions and aims for a classifier to estimate the labels. Many popular methods including PCA and…

Machine Learning · Statistics 2021-11-30 Kaizheng Wang , Yuling Yan , Mateo Díaz

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

Machine Learning · Statistics 2017-06-14 Nhat Ho , XuanLong Nguyen , Mikhail Yurochkin , Hung Hai Bui , Viet Huynh , Dinh Phung

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

Partitioning large networks into stable clusters of synchronized nodes is a challenging task. Recent approaches based on spectral analysis can provide exact results on specific dynamics but remain unfeasible for very large networks.…

Physics and Society · Physics 2026-01-23 Massimo Ostilli

We address the problem of acoustic source separation in a deep learning framework we call "deep clustering." Rather than directly estimating signals or masking functions, we train a deep network to produce spectrogram embeddings that are…

Neural and Evolutionary Computing · Computer Science 2015-08-19 John R. Hershey , Zhuo Chen , Jonathan Le Roux , Shinji Watanabe

This paper proposes a new linearized mixed data sampling (MIDAS) model and develops a framework to infer clusters in a panel regression with mixed frequency data. The linearized MIDAS estimation method is more flexible and substantially…

Econometrics · Economics 2021-02-04 Yeonwoo Rho , Yun Liu , Hie Joo Ahn

Hierarchical clustering based on pairwise similarities is a common tool used in a broad range of scientific applications. However, in many problems it may be expensive to obtain or compute similarities between the items to be clustered.…

Information Theory · Computer Science 2015-03-19 Brian Eriksson , Gautam Dasarathy , Aarti Singh , Robert Nowak

Deep neural networks (DNNs) offer a means of addressing the challenging task of clustering high-dimensional data. DNNs can extract useful features, and so produce a lower dimensional representation, which is more amenable to clustering…

Machine Learning · Computer Science 2021-07-23 Louis Mahon , Thomas Lukasiewicz

Several structural learning algorithms for staged tree models, an asymmetric extension of Bayesian networks, have been defined. However, they do not scale efficiently as the number of variables considered increases. Here we introduce the…

Machine Learning · Statistics 2022-06-15 Manuele Leonelli , Gherardo Varando

Categorical sequence clustering plays a crucial role in various fields, but the lack of interpretability in cluster assignments poses significant challenges. Sequences inherently lack explicit features, and existing sequence clustering…

Machine Learning · Computer Science 2023-09-06 Junjie Dong , Xinyi Yang , Mudi Jiang , Lianyu Hu , Zengyou He