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Subspace clustering is an unsupervised clustering technique designed to cluster data that is supported on a union of linear subspaces, with each subspace defining a cluster with dimension lower than the ambient space. Many existing…

Machine Learning · Computer Science 2021-03-23 Benjamin D. Haeffele , Chong You , René Vidal

High-dimensional single-cell data poses significant challenges in identifying underlying biological patterns due to the complexity and heterogeneity of cellular states. We propose a comprehensive gene-cell dependency visualization via…

Machine Learning · Computer Science 2024-07-25 Shang-Jung Wen , Jia-Ming Chang , Fang Yu

The estimation of modal parameters from a set of noisy measured data is a highly judgmental task, with user expertise playing a significant role in distinguishing between estimated physical and noise modes of a test-piece. Various methods…

Applications · Statistics 2017-09-13 Vahid Yaghoubi , Majid K. Vakilzadeh , Thomas J. S. Abrahamsson

Topographic feature maps are low dimensional representations of data, that preserve spatial dependencies. Current methods of training such maps (e.g. self organizing maps - SOM, generative topographic maps) require centralized control and…

Machine Learning · Computer Science 2023-01-23 Abbas Siddiqui , Dionysios Georgiadis

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

Machine Learning · Computer Science 2023-01-24 Yongyu Wang

Continuous monitoring with an ever-increasing number of sensors has become ubiquitous across many application domains. However, acquired time series are typically high-dimensional and difficult to interpret. Expressive deep learning (DL)…

Machine Learning · Computer Science 2023-05-26 Iris A. M. Huijben , Arthur A. Nijdam , Sebastiaan Overeem , Merel M. van Gilst , Ruud J. G. van Sloun

The Shape Interaction Matrix (SIM) is one of the earliest approaches to performing subspace clustering (i.e., separating points drawn from a union of subspaces). In this paper, we revisit the SIM and reveal its connections to several recent…

Computer Vision and Pattern Recognition · Computer Science 2016-10-10 Pan Ji , Mathieu Salzmann , Hongdong Li

Classifying subsets based on spatial and temporal features is crucial to the analysis of spatiotemporal data given the inherent spatial and temporal variability. Since no single clustering algorithm ensures optimal results, researchers have…

Machine Learning · Computer Science 2024-09-20 Francis Ndikum Nji , Omar Faruque , Mostafa Cham , Janeja Vandana , Jianwu Wang

Kohonen self-organisation maps are a well know classification tool, commonly used in a wide variety of problems, but with limited applications in time series forecasting context. In this paper, we propose a forecasting method specifically…

Machine Learning · Computer Science 2011-11-09 Geoffroy Simon , Amaury Lendasse , Marie Cottrell , Jean-Claude Fort , Michel Verleysen

In this study, we propose a new spectral clustering framework that can auto-tune the parameters of the clustering algorithm in the context of speaker diarization. The proposed framework uses normalized maximum eigengap (NME) values to…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-29 Tae Jin Park , Kyu J. Han , Manoj Kumar , Shrikanth Narayanan

To better understand the spatial structure of large panels of economic and financial time series and provide a guideline for constructing semiparametric models, this paper first considers estimating a large spatial covariance matrix of the…

Machine Learning · Statistics 2015-03-19 Song Song

We present an alternative algorithm to global fitting procedures to construct Parton Distribution Functions (PDFs) parametrizations. The proposed algorithm uses Self-Organizing Maps (SOMs) which at variance with the standard Neural…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Honkanen , S. Liuti , Y. C. Loitiere , D. Brogan , P. Reynolds

Deep clustering incorporates embedding into clustering to find a lower-dimensional space appropriate for clustering. In this paper, we propose a novel deep clustering framework with self-supervision using pairwise similarities (DCSS). The…

Machine Learning · Computer Science 2024-05-07 Mohammadreza Sadeghi , Narges Armanfard

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…

Machine Learning · Computer Science 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

Self Organizing Map (SOM) has been applied into several classical modeling tasks including clustering, classification, function approximation and visualization of high dimensional spaces. The final products of a trained SOM are a set of…

Computational Engineering, Finance, and Science · Computer Science 2014-08-07 Vahid Moosavi

Motivated by applications in social and biological network analysis, we introduce a new form of agnostic clustering termed~\emph{motif correlation clustering}, which aims to minimize the cost of clustering errors associated with both edges…

Data Structures and Algorithms · Computer Science 2018-11-07 Pan Li , Gregory J. Puleo , Olgica Milenkovic

Mapping is one of the crucial tasks enabling autonomous navigation of a mobile robot. Conventional mapping methods output a dense geometric map representation, e.g. an occupancy grid, which is not trivial to keep consistent for prolonged…

Robotics · Computer Science 2025-02-10 Kirill Muravyev , Alexander Melekhin , Dmitry Yudin , Konstantin Yakovlev

Based on further studying the low-rank subspace clustering (LRSC) and L2-graph subspace clustering algorithms, we propose a F-graph subspace clustering algorithm with a symmetric constraint (FSSC), which constructs a new objective function…

Computer Vision and Pattern Recognition · Computer Science 2019-12-18 Kai Xu , Xiao-Jun Wu , Wen-Bo Hu

Collecting large annotated datasets in Remote Sensing is often expensive and thus can become a major obstacle for training advanced machine learning models. Common techniques of addressing this issue, based on the underlying idea of…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Rahul Ghosh , Xiaowei Jia , Chenxi Lin , Zhenong Jin , Vipin Kumar

Self-awareness is the key capability of autonomous systems, e.g., autonomous driving network, which relies on highly efficient time series forecasting algorithm to enable the system to reason about the future state of the environment, as…

Machine Learning · Computer Science 2023-05-18 Minh-Thanh Bui , Duc-Thinh Ngo , Demin Lu , Zonghua Zhang