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In this contribution, the clustering procedure based on K-Means algorithm is studied as an inverse problem, which is a special case of the illposed problems. The attempts to improve the quality of the clustering inverse problem drive to…

Numerical Analysis · Mathematics 2022-11-16 Alberto Arturo Vergani

Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust,…

The data mining technique of time series clustering is well established in many fields. However, as an unsupervised learning method, it requires making choices that are nontrivially influenced by the nature of the data involved. The aim of…

Econometrics · Economics 2018-07-19 Iwo Augustyński , Paweł Laskoś-Grabowski

Causal effects are often characterized with population summaries. These might provide an incomplete picture when there are heterogeneous treatment effects across subgroups. Since the subgroup structure is typically unknown, it is more…

Methodology · Statistics 2026-04-07 Kwangho Kim , Jisu Kim , Edward H. Kennedy

We study the data selection problem, whose aim is to select a small representative subset of data that can be used to efficiently train a machine learning model. We present a new data selection approach based on $k$-means clustering and…

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

Machine Learning · Computer Science 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

This paper explores a deliberately over-engineered approach to the classical problem of parity detection -- determining whether a number is odd or even -- by combining wavelet-based feature extraction with unsupervised clustering. Instead…

Machine Learning · Computer Science 2025-11-04 Ertugrul Mutlu

We study a variant of classical clustering formulations in the context of algorithmic fairness, known as diversity-aware clustering. In this variant we are given a collection of facility subsets, and a solution must contain at least a…

Data Structures and Algorithms · Computer Science 2022-10-25 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Michal Osadnik

Multi-sensor data that track system operating behaviors are widely available nowadays from various engineering systems. Measurements from each sensor over time form a curve and can be viewed as functional data. Clustering of these…

Methodology · Statistics 2024-01-08 Zhongnan Jin , Jie Min , Yili Hong , Pang Du , Qingyu Yang

We propose a novel method to determine the dissimilarity between subjects for functional data clustering. Spline smoothing or interpolation is common to deal with data of such type. Instead of estimating the best-representing curve for each…

Methodology · Statistics 2021-03-23 ShengLi Tzeng , Christian Hennig , Yu-Fen Li , Chien-Ju Lin

Measuring similarity between incomplete data is a fundamental challenge in web mining, recommendation systems, and user behavior analysis. Traditional approaches either discard incomplete data or perform imputation as a preprocessing step,…

Machine Learning · Computer Science 2025-10-16 Yang Cao , Sikun Yang , Kai He , Wenjun Ma , Ming Liu , Yujiu Yang , Jian Weng

Autism spectrum disorder (ASD) remains a challenging condition to diagnose effectively and promptly, despite global efforts in public health, clinical screening, and scientific research. Traditional diagnostic methods, primarily reliant on…

Computers and Society · Computer Science 2025-03-11 Nora Fink

Multi-view clustering leverages consistent and complementary information across multiple views to provide more comprehensive insights than single-view analysis. However, the heterogeneity and redundancy of multi-view data pose significant…

Optimization and Control · Mathematics 2025-08-12 Xiangru Xing , Yan Li , Xin Wang , Huangyue Chen , Xianchao Xiu

We develop methods to analyze clustered competing risks data when the event types are only available in a training dataset and are missing in the main study. We propose to estimate the exposure effects through the cause-specific…

Methodology · Statistics 2025-05-06 Yujie Wu , Molin Wang

Many datasets suffer from missing values due to various reasons,which not only increases the processing difficulty of related tasks but also reduces the accuracy of classification. To address this problem, the mainstream approach is to use…

Machine Learning · Computer Science 2024-08-14 Cong Guo , Chun Liu , Wei Yang

Pixel intensity is a widely used feature for clustering and segmentation algorithms, the resulting segmentation using only intensity values might suffer from noises and lack of spatial context information. Wavelet transform is often used…

Image and Video Processing · Electrical Eng. & Systems 2019-07-09 Junyu Chen , Eric C. Frey

Many measurement modalities which perform imaging by probing an object pixel-by-pixel, such as via Photoacoustic Microscopy, produce a multi-dimensional feature (typically a time-domain signal) at each pixel. In principle, the many degrees…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Nicholas Pellegrino , Paul Fieguth , Parsin Haji Reza

This paper presents a novel clustering concept that is based on jointly learned nonlinear transforms (NTs) with priors on the information loss and the discrimination. We introduce a clustering principle that is based on evaluation of a…

Machine Learning · Computer Science 2019-01-31 Dimche Kostadinov , Behrooz Razeghi , Taras Holotyak , Slava Voloshynovskiy

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

Statistics Theory · Mathematics 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

In a clustered observational study, a treatment is assigned to groups and all units within the group are exposed to the treatment. We develop a new method for statistical adjustment in clustered observational studies using approximate…

Methodology · Statistics 2023-03-06 Luke Keele , Eli Ben-Michael , Lindsay Page