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Dimension-reduction techniques can greatly improve statistical inference in astronomy. A standard approach is to use Principal Components Analysis (PCA). In this work we apply a recently-developed technique, diffusion maps, to astronomical…

Astrophysics · Physics 2011-02-11 Joseph W. Richards , Peter E. Freeman , Ann B. Lee , Chad M. Schafer

The detection of community structure in networks is intimately related to finding a concise description of the network in terms of its modules. This notion has been recently exploited by the Map equation formalism (M. Rosvall and C.T.…

Physics and Society · Physics 2015-03-19 Michael T. Schaub , Renaud Lambiotte , Mauricio Barahona

Many methods have been proposed to detect communities, not only in plain, but also in attributed, directed or even dynamic complex networks. In its simplest form, a community structure takes the form of a partition of the node set. From the…

Social and Information Networks · Computer Science 2014-10-22 Günce Keziban Orman , Vincent Labatut , Marc Plantevit , Jean-François Boulicaut

Robust reinforcement learning agents using high-dimensional observations must be able to identify relevant state features amidst many exogeneous distractors. A representation that captures controllability identifies these state elements by…

Machine Learning · Computer Science 2024-06-25 Max Rudolph , Caleb Chuck , Kevin Black , Misha Lvovsky , Scott Niekum , Amy Zhang

The transmission matrix of a disordered medium, experimentally accessible for classical waves and central to the theory of mesoscopic electronic transport, supports transmission eigenchannels ranging from complete to vanishing transmission.…

Optics · Physics 2026-05-19 Israel Kurtz , Yiming Huang , Zhou Shi , Azriel Z Genack

Much effort has been made to explain and improve the success of transfer-based attacks (TBA) on black-box computer vision models. This work provides the first attempt at a priori prediction of attack success by identifying the presence of…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Ashley S. Dale , Mei Qiu , Foo Bin Che , Thomas Bsaibes , Lauren Christopher , Paul Salama

This paper introduces a novel methodology of adapting the representation of videos based on the dynamics of their scene content variation. In particular, we demonstrate how the clustering of dynamic mode decomposition eigenvalues can be…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Owen T. Huber , Raghu G. Raj , Tianyu Chen , Zacharie I. Idriss

The mutual shadow area of pairs of surface regions is used for guiding the study of the spectral components and rank of their wave interaction, as captured by the corresponding moment matrix blocks. It is demonstrated that the mutual shadow…

Numerical Analysis · Mathematics 2026-01-27 Yaniv Brick , Francesco P. Andriulli , Mats Gustafsson

A one-parameter random matrix model is proposed for describing the statistics of the local amplitudes and phases of electron eigenfunctions in a mesoscopic quantum dot in an arbitrary magnetic field. Comparison of the statistics obtained…

Condensed Matter · Physics 2009-10-28 E. Kanzieper , V. Freilikher

At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Methodology · Statistics 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc

Recent LiDAR-based 3D Object Detection (3DOD) methods show promising results, but they often do not generalize well to target domains outside the source (or training) data distribution. To reduce such domain gaps and thus to make 3DOD…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Gyusam Chang , Wonseok Roh , Sujin Jang , Dongwook Lee , Daehyun Ji , Gyeongrok Oh , Jinsun Park , Jinkyu Kim , Sangpil Kim

We lay down the foundations of the Eigenvalue Method in coding theory. The method uses modern algebraic graph theory to derive upper bounds on the size of error-correcting codes for various metrics, addressing major open questions in the…

Combinatorics · Mathematics 2025-09-24 Aida Abiad , Loes Peters , Alberto Ravagnani

Convergence properties of binary stationary subdivision schemes for curves have been analyzed using the techniques of z-transforms and eigenanalysis. Eigenanalysis provides a way to determine derivative continuity at specific points based…

Graphics · Computer Science 2008-01-22 Christian Kuehn

We propose a framework for analysing transmission channels in a large class of dynamic models. We formulate our approach both using graph theory and potential outcomes, which we show to be equivalent. Our method, labelled Transmission…

Econometrics · Economics 2025-05-05 Enrico Wegner , Lenard Lieb , Stephan Smeekes , Ines Wilms

Existing Unsupervised Domain Adaptation (UDA) literature adopts the covariate shift and conditional shift assumptions, which essentially encourage models to learn common features across domains. However, due to the lack of supervision in…

Computer Vision and Pattern Recognition · Computer Science 2021-07-29 Zhongqi Yue , Qianru Sun , Xian-Sheng Hua , Hanwang Zhang

Network embedding, which aims to learn low-dimensional representations of nodes, has been used for various graph related tasks including visualization, link prediction and node classification. Most existing embedding methods rely solely on…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Homa Hosseinmardi , Emilio Ferrara , Aram Galstyan

Unsupervised Domain Adaptation (UDA) is the task of bridging the domain gap between a labeled source domain, e.g., synthetic data, and an unlabeled target domain. We observe that current UDA methods show inferior results on fine structures…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Linyan Yang , Lukas Hoyer , Mark Weber , Tobias Fischer , Dengxin Dai , Laura Leal-Taixé , Marc Pollefeys , Daniel Cremers , Luc Van Gool

It is well-known that the behavior of many dynamical processes running on networks is intimately related to the eigenvalue spectrum of the network. In this paper, we address the problem of inferring global information regarding the…

Optimization and Control · Mathematics 2011-01-14 Victor M. Preciado , Ali Jadbabaie

Experimental Modal Analysis (EMA) has been widely used to identify structural dynamic properties, including natural frequencies, damping ratios, and mode shapes, for structural integrity assessment. The Poly-reference Least Squares Complex…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Yanxin Si , Bayu Jayawardhana , J. Nathan Kutz , Yunpeng Zhu , Liangliang Cheng

Social network analysis provides meaningful information about behavior of network members that can be used for diverse applications such as classification, link prediction. However, network analysis is computationally expensive because of…

Social and Information Networks · Computer Science 2018-07-30 Mohammad Mehdi Keikha , Maseud Rahgozar , Masoud Asadpour