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In reliability engineering, we need to understand system dependencies, cause-effect relations, identify critical components, and analyze how they trigger failures. Three prominent graph models commonly used for these purposes are fault…

其他计算机科学 · 计算机科学 2023-10-10 L. A. Jimenez-Roa , T. Heskes , M. Stoelinga

Recent advances in engineering technologies have enabled the collection of a large number of longitudinal features. This wealth of information presents unique opportunities for researchers to investigate the complex nature of diseases and…

统计方法学 · 统计学 2023-11-27 Zihang Lu , Noirrit Kiran Chandra

Randomized sampling has recently been proven a highly efficient technique for computing approximate factorizations of matrices that have low numerical rank. This paper describes an extension of such techniques to a wider class of matrices…

数值分析 · 数学 2015-03-25 Per-Gunnar Martinsson

Spectral clustering is one of the most popular methods for community detection in graphs. A key step in spectral clustering algorithms is the eigen decomposition of the $n{\times}n$ graph Laplacian matrix to extract its $k$ leading…

机器学习 · 统计学 2018-09-10 Muni Sreenivas Pydi , Ambedkar Dukkipati

Simultaneously performing variable selection and inference in high-dimensional models is an open challenge in statistics and machine learning. The increasing availability of vast amounts of variables requires the adoption of specific…

统计方法学 · 统计学 2025-10-02 Marco Molinari , Magne Thoresen

In order to improve the performance of least mean square (LMS)-based adaptive filtering for identifying block-sparse systems, a new adaptive algorithm called block-sparse LMS (BS-LMS) is proposed in this paper. The basis of the proposed…

信息论 · 计算机科学 2015-10-28 Shuyang Jiang , Yuantao Gu

A novel unsupervised learning method is proposed in this paper for biclustering large-dimensional matrix-valued time series based on an entirely new latent two-way factor structure. Each block cluster is characterized by its own row and…

统计方法学 · 统计学 2025-02-11 Yong He , Xiaoyang Ma , Xingheng Wang , Yalin Wang

A considerable amount of clustering algorithms take instance-feature matrices as their inputs. As such, they cannot directly analyze time series data due to its temporal nature, usually unequal lengths, and complex properties. This is a…

人工智能 · 计算机科学 2019-06-04 Qi Lei , Jinfeng Yi , Roman Vaculin , Lingfei Wu , Inderjit S. Dhillon

Sparse Representation (SR) techniques encode the test samples into a sparse linear combination of all training samples and then classify the test samples into the class with the minimum residual. The classification of SR techniques depends…

计算机视觉与模式识别 · 计算机科学 2019-07-01 Chun-Mei Feng , Yong Xu , Zuoyong Li , Jian Yang

The use of brain images as markers for diseases or behavioral differences is challenged by the small effects size and the ensuing lack of power, an issue that has incited researchers to rely more systematically on large cohorts. Coupled…

机器学习 · 统计学 2015-11-17 Bertrand Thirion , Andrés Hoyos-Idrobo , Jonas Kahn , Gael Varoquaux

Density-based cluster mining is known to serve a broad range of applications ranging from stock trade analysis to moving object monitoring. Although methods for efficient extraction of density-based clusters have been studied in the…

数据库 · 计算机科学 2011-11-01 Di Yang , Elke A. Rundensteiner , Matthew O. Ward

Deep graph clustering, which aims to reveal the underlying graph structure and divide the nodes into different clusters without human annotations, is a fundamental yet challenging task. However, we observed that the existing methods suffer…

计算机视觉与模式识别 · 计算机科学 2022-02-28 Yue Liu , Sihang Zhou , Xinwang Liu , Wenxuan Tu , Xihong Yang

Network clustering reveals the organization of a network or corresponding complex system with elements represented as vertices and interactions as edges in a (directed, weighted) graph. Although the notion of clustering can be somewhat…

机器学习 · 统计学 2017-11-15 Yongjin Park , Joel S. Bader

In many applications where collecting data is expensive, for example neuroscience or medical imaging, the sample size is typically small compared to the feature dimension. It is challenging in this setting to train expressive, non-linear…

机器学习 · 计算机科学 2019-04-23 Sergul Aydore , Bertrand Thirion , Gael Varoquaux

Sparse Representation (or coding) based Classification (SRC) has gained great success in face recognition in recent years. However, SRC emphasizes the sparsity too much and overlooks the correlation information which has been demonstrated…

计算机视觉与模式识别 · 计算机科学 2014-05-05 Jing Wang , Canyi Lu , Meng Wang , Peipei Li , Shuicheng Yan , Xuegang Hu

Face Recognition (FR) tasks have made significant progress with the advent of Deep Neural Networks, particularly through margin-based triplet losses that embed facial images into high-dimensional feature spaces. During training, these…

计算机视觉与模式识别 · 计算机科学 2025-07-16 Pierrick Leroy , Antonio Mastropietro , Marco Nurisso , Francesco Vaccarino

In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a…

社会与信息网络 · 计算机科学 2015-08-07 Marc Boullé

Dimensionality Reduction (DR) techniques such as t-SNE and UMAP are popular for transforming complex datasets into simpler visual representations. However, while effective in uncovering general dataset patterns, these methods may introduce…

人机交互 · 计算机科学 2024-04-19 Parisa Salmanian , Angelos Chatzimparmpas , Ali Can Karaca , Rafael M. Martins

Given a dictionary that consists of multiple blocks and a signal that lives in the range space of only a few blocks, we study the problem of finding a block-sparse representation of the signal, i.e., a representation that uses the minimum…

最优化与控制 · 数学 2015-05-27 Ehsan Elhamifar , Rene Vidal

For random graphs distributed according to stochastic blockmodels, a special case of latent position graphs, adjacency spectral embedding followed by appropriate vertex classification is asymptotically Bayes optimal; but this approach…

机器学习 · 统计学 2024-06-27 Li Chen , Cencheng Shen , Joshua Vogelstein , Carey Priebe
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