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This paper presents a new approach to non-parametric cluster analysis called Adaptive Weights Clustering (AWC). The idea is to identify the clustering structure by checking at different points and for different scales on departure from…

Machine Learning · Statistics 2017-09-27 Kirill Efimov , Larisa Adamyan , Vladimir Spokoiny

Combinatorial optimization problems for clustering are known to be NP-hard. Most optimization methods are not able to find the global optimum solution for all datasets. To solve this problem, we propose a global optimal path-based…

Machine Learning · Computer Science 2019-09-18 Qidong Liu , Ruisheng Zhang

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

Quantitative Methods · Quantitative Biology 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

This paper proposes a belief propagation (BP)-based algorithm for sequential detection and estimation of multipath component (MPC) parameters based on radio signals. Under dynamic channel conditions with moving transmitter/receiver, the…

Information Theory · Computer Science 2022-05-24 Xuhong Li , Erik Leitinger , Alexander Venus , Fredrik Tufvesson

Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

Methodology · Statistics 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

Clustering algorithms have significantly improved along with Deep Neural Networks which provide effective representation of data. Existing methods are built upon deep autoencoder and self-training process that leverages the distribution of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Xin Ma , Won Hwa Kim

A framework is proposed for developing and evaluating algorithms for extracting multipath propagation components (MPCs) from measurements collected by sounders at millimeter-wave (mmW) frequencies. To focus on algorithmic performance, an…

Clustering multi-dimensional points is a fundamental task in many fields, and density-based clustering supports many applications as it can discover clusters of arbitrary shapes. This paper addresses the problem of Density-Peaks Clustering…

Databases · Computer Science 2022-12-01 Daichi Amagata , Takahiro Hara

Positioning benefits from channel models that capture geometric effects and, in particular, from the signal properties of the first arriving path and the spatial consistency of the propagation condition of multiple links. The models that…

This paper presents a parallel adaptive clustering (PAC) algorithm to automatically classify data while simultaneously choosing a suitable number of classes. Clustering is an important tool for data analysis and understanding in a broad set…

Machine Learning · Computer Science 2021-04-07 Benjamin McLaughlin , Sung Ha Kang

Cross-manifold clustering is a hard topic and many traditional clustering methods fail because of the cross-manifold structures. In this paper, we propose a Multiple Flat Projections Clustering (MFPC) to deal with cross-manifold clustering…

Machine Learning · Computer Science 2021-02-05 Lan Bai , Yuan-Hai Shao , Wei-Jie Chen , Zhen Wang , Nai-Yang Deng

Clustering is an essential technique for network analysis, with applications in a diverse range of fields. Although spectral clustering is a popular and effective method, it fails to consider higher-order structure and can perform poorly on…

Social and Information Networks · Computer Science 2020-09-14 William George Underwood , Andrew Elliott , Mihai Cucuringu

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

Machine Learning · Statistics 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

Numerical Analysis · Mathematics 2024-12-24 Guy B. Oldaker , Maria Emelianenko

A detailed understanding of the dynamic processes of vehicular radio channels is crucial for its realistic modeling. In this paper, we present multipath components (MPCs) tracking results from a channel sounder measurement with 1 GHz…

Information Theory · Computer Science 2018-09-12 Kim Mahler , Wilhelm Keusgen , Fredrik Tufvesson , Thomas Zemen , Giuseppe Caire

Over the last two decades, the Latent Position Model (LPM) has become a prominent tool to obtain model-based visualizations of networks. However, the geometric structure of the LPM is inherently symmetric, in the sense that outgoing and…

Methodology · Statistics 2026-02-02 Chaoyi Lu , Riccardo Rastelli

We explore the geometrical interpretation of the PCA based clustering algorithm Principal Direction Divisive Partitioning (PDDP). We give several examples where this algorithm breaks down, and suggest a new method, gap partitioning, which…

Machine Learning · Statistics 2012-11-20 Ralph Abbey , Jeremy Diepenbrock , Amy Langville , Carl Meyer , Shaina Race , Dexin Zhou

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

Statistics Theory · Mathematics 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh

Clustering large datasets is a fundamental problem with a number of applications in machine learning. Data is often collected on different sites and clustering needs to be performed in a distributed manner with low communication. We would…

Data Structures and Algorithms · Computer Science 2017-02-02 Jiecao Chen , He Sun , David P. Woodruff , Qin Zhang

In the last few years, large improvements in image clustering have been driven by the recent advances in deep learning. However, due to the architectural complexity of deep neural networks, there is no mathematical theory that explains the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Angel Villar-Corrales , Veniamin I. Morgenshtern