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Counting the number of triangles in a graph has many important applications in network analysis. Several frequently computed metrics like the clustering coefficient and the transitivity ratio need to count the number of triangles in the…

Data Structures and Algorithms · Computer Science 2013-04-24 Mostafa Haghir Chehreghani

Most feature detectors such as edge detectors or circle finders are statistical, in the sense that they decide at each point in an image about the presence of a feature, this paper describes the use of Bayesian feature detectors.

Computer Vision and Pattern Recognition · Computer Science 2013-04-15 David Sher

Segmentation is one of the most important tasks in image processing. It consist in classify the pixels into two or more groups depending on their intensity levels and a threshold value. The quality of the segmentation depends on the method…

Computer Vision and Pattern Recognition · Computer Science 2014-06-25 Diego Oliva , Erik Cuevas , Gonzalo Pajares , Daniel Zaldivar , Valentin Osuna

A highly successful approach to route planning in networks (particularly road networks) is to identify a hierarchy in the network that allows faster queries after some preprocessing that basically inserts additional "shortcut"-edges into a…

Data Structures and Algorithms · Computer Science 2019-09-11 Demian Hespe , Peter Sanders

We aim at computing the derivative of the solution to a parametric optimization problem with respect to the involved parameters. For a class broader than that of strongly convex functions, this can be achieved by automatic differentiation…

Optimization and Control · Mathematics 2019-10-15 Sheheryar Mehmood , Peter Ochs

In extreme value analysis, sensitivity of inference to the definition of extreme event is a paramount issue. Under the peaks-over-threshold (POT) approach, this translates directly into the need of fitting a Generalized Pareto distribution…

Methodology · Statistics 2020-09-01 Jessica Silva Lomba , Maria Isabel Fraga Alves

The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. Begin with a complete graph on $n$ vertices and proceed to remove the edges of triangles one at a time, where each triangle removed is…

Combinatorics · Mathematics 2012-10-29 Tom Bohman , Alan Frieze , Eyal Lubetzky

Do algorithms for drawing graphs pass the Turing Test? That is, are their outputs indistinguishable from graphs drawn by humans? We address this question through a human-centred experiment, focusing on `small' graphs, of a size for which it…

Social and Information Networks · Computer Science 2021-05-11 Helen C. Purchase , Daniel Archambault , Stephen Kobourov , Martin Nöllenburg , Sergey Pupyrev , Hsiang-Yun Wu

We obtain new parameterized algorithms for the classical problem of determining whether a directed acyclic graph admits an upward planar drawing. Our results include a new fixed-parameter algorithm parameterized by the number of sources, an…

Computational Geometry · Computer Science 2022-03-11 Steven Chaplick , Emilio Di Giacomo , Fabrizio Frati , Robert Ganian , Chrysanthi N. Raftopoulou , Kirill Simonov

Architecture optimization, which is a technique for finding an efficient neural network that meets certain requirements, generally reduces to a set of multiple-choice selection problems among alternative sub-structures or parameters. The…

Machine Learning · Computer Science 2019-11-15 Jaedeok Kim , Chiyoun Park , Hyun-Joo Jung , Yoonsuck Choe

Edge bundling reduces the visual clutter in a drawing of a graph by uniting the edges into bundles. We propose a method of edge bundling drawing each edge of a bundle separately as in metro-maps and call our method ordered bundles. To…

Computational Geometry · Computer Science 2012-09-20 Sergey Bereg , Alexander E. Holroyd , Lev Nachmanson , Sergey Pupyrev

The complexity and scale of IT systems are increasing dramatically, posing many challenges to real-world anomaly detection. Deep learning anomaly detection has emerged, aiming at feature learning and anomaly scoring, which has gained…

Machine Learning · Computer Science 2023-12-05 Xue Yang , Enda Howley , Micheal Schukat

Augmented Reality is an environment-enhancing technology, widely applied in many domains, such as tourism and culture. One of the major challenges in this field is precise detection and extraction of building information through Computer…

Computer Vision and Pattern Recognition · Computer Science 2021-06-03 Ciprian Orhei , Silviu Vert , Radu Vasiu

Edge detection is a very essential part of image processing, as quality and accuracy of detection determines the success of further processing. We have developed a new self learning technique for edge detection using dictionary comprised of…

Computer Vision and Pattern Recognition · Computer Science 2015-09-03 Nitish Chandra , Kedar Khare

In this paper we present an alternative method to symbolic segmentation: we approach symbolic segmentation as an algorithm selection problem. That is, let there be a set A of available algorithms for symbolic segmentation, a set of input…

Computer Vision and Pattern Recognition · Computer Science 2016-08-15 Martin Lukac , Kamila Abdiyeva , Michitaka Kameyama

In this paper we focus on the problem of the degree sequence for the following random graph process. At any time-step $t$, one of the following three substeps is executed: with probability $\alpha_1$, a new vertex $x_t$ and $m$ edges…

Probability · Mathematics 2008-07-01 Xian-Yuan Wu , Zhao Dong , Ke Liu , Kai-Yuan Cai

We investigate the power of randomized algorithms for the maximum cardinality matching (MCM) and the maximum weight matching (MWM) problems in the online preemptive model. In this model, the edges of a graph are revealed one by one and the…

Data Structures and Algorithms · Computer Science 2015-07-03 Ashish Chiplunkar , Sumedh Tirodkar , Sundar Vishwanathan

Parameter values for seismic processing steps are often chosen on a regular grid of samples and interpolated. Active learning instead attempts to optimally select the samples on which parameter values are chosen. For parameters that do not…

Geophysics · Physics 2021-06-18 Alan Richardson

Vizing's theorem states that any graph of maximum degree $\Delta$ can be properly edge colored with at most $\Delta+1$ colors. In the online setting, it has been a matter of interest to find an algorithm that can properly edge color any…

Data Structures and Algorithms · Computer Science 2024-10-30 Aditi Dudeja , Rashmika Goswami , Michael Saks

Edge detection remains a fundamental yet challenging task in computer vision, especially under varying illumination, noise, and complex scene conditions. This paper introduces a Hybrid Multi-Stage Learning Framework that integrates…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Mark Phil Pacot , Jayno Juventud , Gleen Dalaorao
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