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Humans are able to segment images effortlessly without supervision using perceptual grouping. Here, we propose a counter-intuitive computational approach to solving unsupervised perceptual grouping and segmentation: that they arise because…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Ben Lonnqvist , Zhengqing Wu , Michael H. Herzog

Similarity notions between vertices in a graph, such as structural and regular equivalence, are one of the main ingredients in clustering tools in complex network science. We generalise structural and regular equivalences for undirected…

Combinatorics · Mathematics 2026-01-01 Marzieh Eidi , Nina Otter

To identify the location of objects of a particular class, a passive computer vision system generally processes all the regions in an image to finally output few regions. However, we can use structure in the scene to search for objects…

Computer Vision and Pattern Recognition · Computer Science 2016-08-09 Varun K. Nagaraja , Vlad I. Morariu , Larry S. Davis

Like many computer vision problems, human pose estimation is a challenging problem in that recognizing a body part requires not only information from local area but also from areas with large spatial distance. In order to spatially pass…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Te Qi , Bayram Bayramli , Usman Ali , Qinchuan Zhang , Hongtao Lu

The personal spatial structure of an observer is introduced as a central element in the positioning of objects in space. The link between a reference frame used by an observer and his personal spatial structure is discussed. Research on…

General Physics · Physics 2007-05-23 D. M. Snyder

This paper provides two characterizations of regularity for near-vector spaces: first, by expressing them as a direct sum of vector spaces over division rings formed by distributive elements; second, by expressing their dimension in term of…

Rings and Algebras · Mathematics 2024-07-25 Leandro Boonzaaier , Sophie Marques , Daniella Moore

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

This study elaborates some examples of a simple evolutionary stochastic rate process where the population rate of change depends on the distribution of properties--so different cohorts change at different rates. We investigate the effect on…

Populations and Evolution · Quantitative Biology 2010-01-26 C. T. J. Dodson

This work describes a novel image analysis approach to characterize the uniformity of objects in agglomerates by using the propagation of normal wavefronts. The problem of width uniformity is discussed and its importance for the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Luciano da F. Costa , Giancarlo Mutinari , David Schubert

The surrounding world surprises us by the beauty and variety of complex shapes that emerge from nanometric to macroscopic scales. Natural or manufactured materials (sandstones, sedimentary rocks and cement), colloidal solutions (proteins…

Mathematical Physics · Physics 2009-09-10 Denis Grebenkov

Humans can easily segment moving objects without knowing what they are. That objectness could emerge from continuous visual observations motivates us to model grouping and movement concurrently from unlabeled videos. Our premise is that a…

Computer Vision and Pattern Recognition · Computer Science 2021-11-12 Runtao Liu , Zhirong Wu , Stella X. Yu , Stephen Lin

The question how complex systems become more organized and efficient with time is open. Examples are, the formation of elementary particles from pure energy, the formation of atoms from particles, the formation of stars and galaxies, the…

Physics and Society · Physics 2017-01-17 Georgi Georgiev , Atanu Chatterjee , Germano Iannacchione

Optically active networks show feature-rich emission that depends on the fine details of their geometry, and find diverse applications in random lasers, sensing devices and photonics processors. In these and other systems, a thorough and…

In many situations, the decision maker observes items in sequence and needs to determine whether or not to retain a particular item immediately after it is observed. Any decision rule creates a set of items that are selected. We consider…

Probability · Mathematics 2007-05-23 Abba M. Krieger , Moshe Pollak , Ester Samuel-Cahn

The geometric shapes of the outside world objects hide an undisclosed emotional, psychological, artistic, aesthetic and shape-generating potential; they may attract or cause fear as well as a variety of other emotions. This suggests that…

Neurons and Cognition · Quantitative Biology 2025-02-25 Rushan Ziatdinov

Autonomous scene exposure and exploration, especially in localization or communication-denied areas, useful for finding targets in unknown scenes, remains a challenging problem in computer navigation. In this work, we present a novel method…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Tom Avrech , Evgenii Zheltonozhskii , Chaim Baskin , Ehud Rivlin

Uncovering the mechanism leading to the scaling law in human trajectories is of fundamental importance in understanding many spatiotemporal phenomena. We propose a hierarchical geographical model to mimic the real traffic system, upon which…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Xiaopu Han , Qiang Hao , Binghong Wang , Tao Zhou

Parsing human poses in images is fundamental in extracting critical visual information for artificial intelligent agents. Our goal is to learn self-contained body part representations from images, which we call visual symbols, and their…

Computer Vision and Pattern Recognition · Computer Science 2013-04-24 Fang Wang , Yi Li

Our sensory systems transform external signals into neural activity, thereby producing percepts. We are endowed with an intuitive notion of similarity between percepts, that need not reflect the proximity of the physical properties of the…

Neurons and Cognition · Quantitative Biology 2023-06-22 Nicolás Vattuone , Thomas Wachtler , Inés Samengo

It is at times important to detect human presence automatically in secure environments. This needs a shape recognition algorithm that is robust, fast and has low error rates. The algorithm needs to process camera images quickly to detect…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Dhriti Sengupta , Merina Kundu , Jayati Ghosh Dastidar
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