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Clustering has become a core technology in machine learning, largely due to its application in the field of unsupervised learning, clustering, classification, and density estimation. A frequentist approach exists to hand clustering based on…

机器学习 · 计算机科学 2021-08-27 Jun Lu

We study the clustering task under anisotropic Gaussian Mixture Models where the covariance matrices from different clusters are unknown and are not necessarily the identical matrix. We characterize the dependence of signal-to-noise ratios…

统计理论 · 数学 2021-01-19 Xin Chen , Anderson Y. Zhang

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

机器学习 · 计算机科学 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

A system is presented that segments, clusters and predicts musical audio in an unsupervised manner, adjusting the number of (timbre) clusters instantaneously to the audio input. A sequence learning algorithm adapts its structure to a…

声音 · 计算机科学 2020-05-21 Ricard Marxer , Hendrik Purwins

The mixture model is undoubtedly one of the greatest contributions to clustering. For continuous data, Gaussian models are often used and the Expectation-Maximization (EM) algorithm is particularly suitable for estimating parameters from…

机器学习 · 统计学 2025-11-25 Zineddine Tighidet , Lazhar Labiod , Mohamed Nadif

Though very popular, it is well known that the EM for GMM algorithm suffers from non-Gaussian distribution shapes, outliers and high-dimensionality. In this paper, we design a new robust clustering algorithm that can efficiently deal with…

机器学习 · 统计学 2020-10-06 Violeta Roizman , Matthieu Jonckheere , Frédéric Pascal

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

统计方法学 · 统计学 2025-12-18 Matteo Mori , Laura Anderlucci

We study a variant of the variational autoencoder model (VAE) with a Gaussian mixture as a prior distribution, with the goal of performing unsupervised clustering through deep generative models. We observe that the known problem of…

The discovery of disease subtypes is an essential step for developing precision medicine, and disease subtyping via omics data has become a popular approach. While promising, subtypes obtained from conventional approaches may not be…

应用统计 · 统计学 2023-09-28 Lingsong Meng , Zhiguang Huo

The spectral clustering algorithm is often used as a binary clustering method for unclassified data by applying the principal component analysis. To study theoretical properties of the algorithm, the assumption of conditional…

统计理论 · 数学 2025-05-27 Kohei Kawamoto , Yuichi Goto , Koji Tsukuda

Probabilistic clustering models (or equivalently, mixture models) are basic building blocks in countless statistical models and involve latent random variables over discrete spaces. For these models, posterior inference methods can be…

机器学习 · 统计学 2020-06-24 Ari Pakman , Yueqi Wang , Catalin Mitelut , JinHyung Lee , Liam Paninski

Deep clustering methods typically rely on a single, well-defined representation for clustering. In contrast, pretrained diffusion models provide abundant and diverse multi-scale representations across network layers and noise timesteps.…

Through Ecological Momentary Assessment (EMA) studies, a number of time-series data is collected across multiple individuals, continuously monitoring various items of emotional behavior. Such complex data is commonly analyzed in an…

机器学习 · 计算机科学 2023-10-12 Mandani Ntekouli , Gerasimos Spanakis , Lourens Waldorp , Anne Roefs

Students' engagements reflect their level of involvement in an ongoing learning process which can be estimated through their interactions with a computer-based learning or assessment system. A pre-requirement for stimulating student…

计算机与社会 · 计算机科学 2024-03-12 R. Maqsood , P. Ceravolo , C. Romero , S. Ventura

Variation Autoencoder (VAE) has become a powerful tool in modeling the non-linear generative process of data from a low-dimensional latent space. Recently, several studies have proposed to use VAE for unsupervised clustering by using…

机器学习 · 计算机科学 2021-06-29 Qingyu Zhao , Nicolas Honnorat , Ehsan Adeli , Kilian M. Pohl

We present a clustering method and provide a theoretical analysis and an explanation to a phenomenon encountered in the applied statistical literature since the 1990's. This phenomenon is the natural adaptability of the order when using a…

统计理论 · 数学 2022-03-23 Thierry Dumont

Model-based clustering of moderate or large dimensional data is notoriously difficult. We propose a model for simultaneous dimensionality reduction and clustering by assuming a mixture model for a set of latent scores, which are then linked…

统计方法学 · 统计学 2024-06-04 Lorenzo Ghilotti , Mario Beraha , Alessandra Guglielmi

The problem of analyzing data streams of very large volumes is important and is very desirable for many application domains. In this paper we present and demonstrate effective working of an algorithm to find clusters and anomalous data…

机器学习 · 计算机科学 2025-03-25 Aniket Bhanderi , Raj Bhatnagar

Clustering and estimating cluster means are core problems in statistics and machine learning, with k-means and Expectation Maximization (EM) being two widely used algorithms. In this work, we provide a theoretical explanation for the…

机器学习 · 统计学 2025-06-19 David Silva-Sánchez , Roy R. Lederman

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…

机器学习 · 计算机科学 2021-06-23 Xuyang Yan , Abdollah Homaifar , Mrinmoy Sarkar , Abenezer Girma , Edward Tunstel