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The Minimum Covariance Determinant (MCD) approach robustly estimates the location and scatter matrix using the subset of given size with lowest sample covariance determinant. Its main drawback is that it cannot be applied when the dimension…

Methodology · Statistics 2021-01-13 Kris Boudt , Peter J. Rousseeuw , Steven Vanduffel , Tim Verdonck

Supervised learning on graphs is a challenging task due to the high dimensionality and inherent structural dependencies in the data, where each edge depends on a pair of vertices. Existing conventional methods are designed for standard…

Methodology · Statistics 2024-06-27 Cencheng Shen , Shangsi Wang , Alexandra Badea , Carey E. Priebe , Joshua T. Vogelstein

With the rise of IoT-based botnet attacks, researchers have explored various learning models for detection, including traditional machine learning, deep learning, and hybrid approaches. A key advancement involves deploying attention…

Machine Learning · Computer Science 2025-05-26 Hassan Wasswa , Hussein Abbass , Timothy Lynar

Learning node representations is a fundamental problem in graph machine learning. While existing embedding methods effectively preserve local similarity measures, they often fail to capture global functions like graph distances. Inspired by…

Machine Learning · Statistics 2025-10-20 My Le , Luana Ruiz , Souvik Dhara

Autoencoders have been widely used for dimensional reduction and feature extraction. Various types of autoencoders have been proposed by introducing regularization terms. Most of these regularizations improve representation learning by…

Machine Learning · Computer Science 2020-06-26 Yuzhu Guo , Kang Pan , Simeng Li , Zongchang Han , Kexin Wang , Li Li

Motivated by applications in clustering and synthetic data generation, we consider the problem of releasing a minimum spanning tree (MST) under edge-weight differential privacy constraints where a graph topology $G=(V,E)$ with $n$ vertices…

Data Structures and Algorithms · Computer Science 2024-08-14 Rasmus Pagh , Lukas Retschmeier

Manifold learning offers nonlinear dimensionality reduction of high-dimensional datasets. In this paper, we bring geometry processing to bear on manifold learning by introducing a new approach based on metric connection for generating a…

Machine Learning · Computer Science 2018-11-05 Max Budninskiy , Glorian Yin , Leman Feng , Yiying Tong , Mathieu Desbrun

One or more searchers must capture an invisible evader hiding in the nodes of a graph. We study this graph search problem; we emphasize that we study the capture of a node-located evader, which has received less attention than edge search.…

Discrete Mathematics · Computer Science 2009-05-21 Ath. Kehagias , G. Hollinger , A. Gelastopoulos

Supervised manifold learning methods learn data representations by preserving the geometric structure of data while enhancing the separation between data samples from different classes. In this work, we propose a theoretical study of…

Machine Learning · Computer Science 2018-01-08 Elif Vural , Christine Guillemot

Unsupervised anomaly detection is a challenging task. Autoencoders (AEs) or generative models are often employed to model the data distribution of normal inputs and subsequently identify anomalous, out-of-distribution inputs by high…

Machine Learning · Computer Science 2025-06-12 Yalin Liao , Austin J. Brockmeier

Multidimensional scaling of gene sequence data has long played a vital role in analysing gene sequence data to identify clusters and patterns. However the computation complexities and memory requirements of state-of-the-art dimensional…

Artificial Intelligence · Computer Science 2021-04-20 Pulasthi Wickramasinghe , Geoffrey Fox

The problem of recovering the configuration of points from their partial pairwise distances, referred to as the Euclidean Distance Matrix Completion (EDMC) problem, arises in a broad range of applications, including sensor network…

Optimization and Control · Mathematics 2026-05-07 Chandler Smith , HanQin Cai , Abiy Tasissa

In this paper, we propose a scalable algorithm for spectral embedding. The latter is a standard tool for graph clustering. However, its computational bottleneck is the eigendecomposition of the graph Laplacian matrix, which prevents its…

Machine Learning · Computer Science 2019-04-12 Mireille El Gheche , Giovanni Chierchia , Pascal Frossard

In machine learning, graph embedding algorithms seek low-dimensional representations of the input network data, thereby allowing for downstream tasks on compressed encodings. Recently, within the framework of network renormalization,…

Physics and Society · Physics 2025-08-29 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli

Metric Multidimensional scaling (MDS) is a classical method for generating meaningful (non-linear) low-dimensional embeddings of high-dimensional data. MDS has a long history in the statistics, machine learning, and graph drawing…

Machine Learning · Computer Science 2021-09-24 Erik Demaine , Adam Hesterberg , Frederic Koehler , Jayson Lynch , John Urschel

In some scenarios, classifier requires detecting out-of-distribution samples far from its training data. With desirable characteristics, reconstruction autoencoder-based methods deal with this problem by using input reconstruction error as…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Yibo Zhou

Unsupervised Anomaly Detection has become a popular method to detect pathologies in medical images as it does not require supervision or labels for training. Most commonly, the anomaly detection model generates a "normal" version of an…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Felix Meissen , Johannes Paetzold , Georgios Kaissis , Daniel Rueckert

Anomaly detection in industrial visual inspection is challenging due to the scarcity of defective samples. Most existing methods rely on unsupervised reconstruction using only normal data, often resulting in overfitting and poor detection…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Amirhossein Khadivi Noghredeh , Abdollah Safari , Fatemeh Ziaeetabar , Firoozeh Haghighi

Representing graph data in a low-dimensional space for subsequent tasks is the purpose of attributed graph embedding. Most existing neural network approaches learn latent representations by minimizing reconstruction errors. Rare work…

Machine Learning · Computer Science 2024-01-15 Bozhen Hu , Zelin Zang , Jun Xia , Lirong Wu , Cheng Tan , Stan Z. Li

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun