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Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

The signal registered by a plane photodetector placed behind an optically inhomogeneous object irradiated by two coherent Gaussian beams intersecting inside the object at small angle to each other is calculated in the single-scattering…

Optics · Physics 2018-05-23 G. G. Kozlov

In this work, we introduce the novel problem of identifying dense canonical 3D coordinate frames from a single RGB image. We observe that each pixel in an image corresponds to a surface in the underlying 3D geometry, where a canonical frame…

Computer Vision and Pattern Recognition · Computer Science 2019-04-01 Jingwei Huang , Yichao Zhou , Thomas Funkhouser , Leonidas Guibas

The edge-degeneracy model is an exponential random graph model that uses the graph degeneracy, a measure of the graph's connection density, and number of edges in a graph as its sufficient statistics. We show this model is relatively…

Statistics Theory · Mathematics 2016-09-19 Nicolas Kim , Dane Wilburne , Sonja Petrović , Alessandro Rinaldo

Edge detection is a fundamental technique in various computer vision tasks. Edges are indeed effectively delineated by pixel discontinuity and can offer reliable structural information even in textureless areas. State-of-the-art heavily…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Leng Kai , Zhang Zhijie , Liu Jie , Zed Boukhers , Sui Wei , Cong Yang , Li Zhijun

Topological or deconfined phases are characterized by emergent, weakly fluctuating, gauge fields. In condensed matter settings they inevitably come coupled to excitations that carry the corresponding gauge charges which invalidate the…

Strongly Correlated Electrons · Physics 2011-03-18 K. Gregor , David A. Huse , R. Moessner , S. L. Sondhi

We introduce the Divergence Phase Index (DPI), a novel framework for quantifying phase differences in one and multidimensional signals, grounded in harmonic analysis via the Riesz transform. Based on classical Hilbert Transform phase…

Machine Learning · Statistics 2025-10-07 Magaly Catanzariti , Hugo Aimar , Diego M. Mateos

Performing simultaneous depth-of-field (DoF) extension and edge enhancement within a single optical element remains a fundamental challenge in advanced imaging. Here, we propose a wavelength-tunable nonlocal Huygens' metasurface capable of…

Optics · Physics 2025-10-03 Kenan Guo , Yue Jiang , Shuyuan Xiao , Tingting Liu

Features from multiple scales can greatly benefit the semantic edge detection task if they are well fused. However, the prevalent semantic edge detection methods apply a fixed weight fusion strategy where images with different semantics are…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Yuan Hu , Yunpeng Chen , Xiang Li , Jiashi Feng

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

In the real world, anomalous entities often add more legitimate connections while hiding direct links with other anomalous entities, leading to heterophilic structures in anomalous networks that most GNN-based techniques fail to address.…

Machine Learning · Computer Science 2025-08-21 Zengyi Wo , Wenjun Wang , Minglai Shao , Chang Liu , Yumeng Wang , Yueheng Sun

A simple model system is introduced for demonstrating how a single photon source might be used to transduce classical analog information. The theoretical scheme results in measurements of analog source samples that are (i) quantized in the…

Quantum Physics · Physics 2016-09-26 Mark D. McDonnell , Adrian P. Flitney

Focusing on polygenic signal detection in high dimensional genetic association studies of complex traits, we develop an adaptive test for generalized linear models to accommodate different alternatives. To facilitate valid post-selection…

Methodology · Statistics 2021-04-09 Yanyan Zhao , Lei Sun

Combining the linear canonical transform and the Riesz transform, we introduce the linear canonical Riesz transform (for short, LCRT), which is further proved to be a linear canonical multiplier. Using this LCRT multiplier, we conduct…

Functional Analysis · Mathematics 2025-03-17 Shuhui Yang , Zunwei Fu , Dachun Yang , Yan Lin , Zhen Li

he octonion offset linear canonical transform can be defined as a time shifted and frequency modulated version of the octonion linear canonical transform, a more general framework of most existing signal processing tools. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2021-11-23 Mohammad Younus Bhat , Aamir Hamid Dar

Inspired by edge detection based on the decay behavior of wavelet coefficients, we introduce a (near) linear-time algorithm for detecting the local regularity in non-uniformly sampled multivariate signals. Our approach quantifies regularity…

Numerical Analysis · Mathematics 2025-07-21 Sara Avesani , Gianluca Giacchi , Michael Multerer

This paper presents a new family of localized orthonormal bases - sinlets - which are well suited for both signal and image processing and analysis. One-dimensional sinlets are related to specific solutions of the time-dependent harmonic…

Multimedia · Computer Science 2012-09-19 Alexander Y. Davydov

Edge detection is widely and fundamental feature used in various algorithms in computer vision to determine the edges in an image. The edge detection algorithm is used to determine the edges in an image which are further used by various…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Victor Bogdan , Cosmin Bonchiş , Ciprian Orhei

This paper proposes a novel method which combines both median filter and simple standard deviation to accomplish an excellent edge detector for image processing. First of all, a denoising process must be applied on the grey scale image…

Computer Vision and Pattern Recognition · Computer Science 2013-04-24 Firas A. Jassim

The ambiguity function of a spatial signal in the "signal spatial frequency displacement vs antenna linear displacement" coordinates is considered in this paper; in case of a monochromatic signal with known carrier frequency, spatial signal…

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