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We design an interpretable clustering algorithm aware of the nonlinear structure of image manifolds. Our approach leverages the interpretability of $K$-means applied in the image space while addressing its clustering performance issues.…

计算机视觉与模式识别 · 计算机科学 2020-12-18 Romain Cosentino , Randall Balestriero , Yanis Bahroun , Anirvan Sengupta , Richard Baraniuk , Behnaam Aazhang

Despite the growing popularity of explainable and interpretable machine learning, there is still surprisingly limited work on inherently interpretable clustering methods. Recently, there has been a surge of interest in explaining the…

机器学习 · 计算机科学 2024-11-26 Maximilian Fleissner , Leena Chennuru Vankadara , Debarghya Ghoshdastidar

Gene expression data is often collected in time series experiments, under different experimental conditions. There may be genes that have very different gene expression profiles over time, but that adjust their gene expression patterns in…

统计方法学 · 统计学 2021-12-02 Susana Conde , Shahin Tavakoli , Daphne Ezer

Clustering serves as a vital tool for uncovering latent data structures, and achieving both high accuracy and interpretability is essential. To this end, existing methods typically construct binary decision trees by solving mixed-integer…

机器学习 · 计算机科学 2026-02-17 Hayato Suzuki , Shunnosuke Ikeda , Yuichi Takano

Understanding treatment effect heterogeneity is vital for scientific and policy research. However, identifying and evaluating heterogeneous treatment effects pose significant challenges due to the typically unknown subgroup structure.…

统计方法学 · 统计学 2024-11-05 Kwangho Kim , Jisu Kim , Larry A. Wasserman , Edward H. Kennedy

A recent literature in econometrics models unobserved cross-sectional heterogeneity in panel data by assigning each cross-sectional unit a one-dimensional, discrete latent type. Such models have been shown to allow estimation and inference…

计量经济学 · 经济学 2020-01-31 Max Cytrynbaum

In addition to finding meaningful clusters, centroid-based clustering algorithms such as K-means or mean-shift should ideally find centroids that are valid patterns in the input space, representative of data in their cluster. This is…

机器学习 · 计算机科学 2014-06-17 Weiran Wang , Miguel Á. Carreira-Perpiñán

Identifying a set of homogeneous clusters in a heterogeneous dataset is one of the most important classes of problems in statistical modeling. In the realm of unsupervised partitional clustering, k-means is a very important algorithm for…

机器学习 · 统计学 2017-05-23 J. Andrew Howe

In longitudinal data analysis, observation points of repeated measurements over time often vary among subjects except in well-designed experimental studies. Additionally, measurements for each subject are typically obtained at only a few…

统计方法学 · 统计学 2024-11-14 Michio Yamamoto , Yoshikazu Terada

Although there is no shortage of clustering algorithms proposed in the literature, the question of the most relevant strategy for clustering compositional data (i.e., data made up of profiles, whose rows belong to the simplex) remains…

统计理论 · 数学 2018-05-17 Antoine Godichon-Baggioni , Cathy Maugis-Rabusseau , Andrea Rau

Understanding causal heterogeneity is essential for scientific discovery in domains such as biology and medicine. However, existing methods lack causal awareness, with insufficient modeling of heterogeneity, confounding, and observational…

机器学习 · 计算机科学 2025-10-29 Wenrui Li , Qinghao Zhang , Xiaowo Wang

In the context of recent deep clustering studies, discriminative models dominate the literature and report the most competitive performances. These models learn a deep discriminative neural network classifier in which the labels are latent.…

机器学习 · 计算机科学 2019-12-17 Mohammed Jabi , Marco Pedersoli , Amar Mitiche , Ismail Ben Ayed

This paper is devoted to a practical method for ferroalloys consumption modeling and optimization. We consider the problem of selecting the optimal process control parameters based on the analysis of historical data from sensors. We…

机器学习 · 计算机科学 2022-04-18 Nick Knyazev

Estimating the number of clusters (K) is a critical and often difficult task in cluster analysis. Many methods have been proposed to estimate K, including some top performers using resampling approach. When performing cluster analysis in…

统计方法学 · 统计学 2019-09-05 Yujia Li , Xiangrui Zeng , Chien-Wei Lin , George Tseng

Machine learning has become a central research area, with increasing attention devoted to explainable clustering, also known as conceptual clustering, which is a knowledge-driven unsupervised learning paradigm that partitions data into…

人工智能 · 计算机科学 2026-04-15 Motaz Ben Hassine , Saïd Jabbour

Multiple kernel methods based on k-means aims to integrate a group of kernels to improve the performance of kernel k-means clustering. However, we observe that most existing multiple kernel k-means methods exploit the nonlinear relationship…

机器学习 · 计算机科学 2020-10-01 Liang Du , Haiying Zhang , Xin Ren , Xiaolin Lv

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

Multi-model fitting has been extensively studied from the random sampling and clustering perspectives. Most assume that only a single type/class of model is present and their generalizations to fitting multiple types of models/structures…

计算机视觉与模式识别 · 计算机科学 2019-01-30 Xun Xu , Loong-Fah Cheong , Zhuwen Li

Many clustering algorithms exist that estimate a cluster centroid, such as K-means, K-medoids or mean-shift, but no algorithm seems to exist that clusters data by returning exactly K meaningful modes. We propose a natural definition of a…

机器学习 · 计算机科学 2013-04-25 Miguel Á. Carreira-Perpiñán , Weiran Wang

This study focuses on exploring the use of local interpretability methods for explaining time series clustering models. Many of the state-of-the-art clustering models are not directly explainable. To provide explanations for these…

机器学习 · 计算机科学 2022-08-03 Ozan Ozyegen , Nicholas Prayogo , Mucahit Cevik , Ayse Basar
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