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Motivated by recent work on the use of topological methods to study collections of rings between an integral domain and its quotient field, we examine spaces of subrings of a commutative ring, where these spaces are endowed with the Zariski…

Commutative Algebra · Mathematics 2025-05-05 Laura Cossu , Bruce Olberding

Page segmentation is a web page analysis process that divides a page into cohesive segments, such as sidebars, headers, and footers. Current page segmentation approaches use either the DOM, textual content, or rendering style information of…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Mohammad Bajammal , Ali Mesbah

Image segmentation is a key topic in image processing and computer vision with applications such as scene understanding, medical image analysis, robotic perception, video surveillance, augmented reality, and image compression, among many…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Shervin Minaee , Yuri Boykov , Fatih Porikli , Antonio Plaza , Nasser Kehtarnavaz , Demetri Terzopoulos

Superpixels have long been used in image simplification to enable more efficient data processing and storage. However, despite their computational potential, their irregular spatial distribution has often forced deep learning approaches to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Jack Roberts , Jeova Farias Sales Rocha Neto

We show that simple patch-based models, such as epitomes, can have superior performance to the current state of the art in semantic segmentation and label super-resolution, which uses deep convolutional neural networks. We derive a new…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Nikolay Malkin , Anthony Ortiz , Caleb Robinson , Nebojsa Jojic

Motivated by the problem of constructing bijective maps with low differential uniformity, we introduce the notion of permutation resemblance of a function, which looks to measure the distance a given map is from being a permutation. We…

Information Theory · Computer Science 2023-02-08 Li-An Chen , Robert S. Coulter

Mathematical morphology contributes many profitable tools to image processing area. Some of these methods considered to be basic but the most important fundamental of data processing in many various applications. In this paper, we modify…

Category Theory · Mathematics 2020-09-15 Hossein Memarzadeh Sharifipour , Bardia Yousefi

In problem-solving, a path towards solutions can be viewed as a sequence of decisions. The decisions, made by humans or computers, describe a trajectory through a high-dimensional representation space of the problem. By means of…

Artificial Intelligence · Computer Science 2022-07-19 Andreas Hinterreiter , Christian Steinparz , Moritz Schöfl , Holger Stitz , Marc Streit

We prove that the inclusion of the space of gradient local maps into the space of all local maps from Hilbert space to itself induces a bijection between the sets of the respective otopy classes of these maps, where by a local map we mean a…

Algebraic Topology · Mathematics 2018-10-19 Piotr Bartłomiejczyk , Piotr Nowak-Przygodzki

We cast shape matching as metric learning with convolutional networks. We break the end-to-end process of image representation into two parts. Firstly, well established efficient methods are chosen to turn the images into edge maps.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Filip Radenović , Giorgos Tolias , Ondřej Chum

We describe a method for performing active localization of objects in instances of visual situations. A visual situation is an abstract concept---e.g., "a boxing match", "a birthday party", "walking the dog", "waiting for a bus"---whose…

Computer Vision and Pattern Recognition · Computer Science 2016-07-05 Max H. Quinn , Anthony D. Rhodes , Melanie Mitchell

\emph{Approximation Theory} uses nicely-behaved subcategories to understand entire categories, just as projective modules are used to approximate arbitrary modules in classical homological algebra. We use set-theoretic \emph{elementary…

Logic · Mathematics 2024-06-13 Sean Cox

A network embedding is a representation of a large graph in a low-dimensional space, where vertices are modeled as vectors. The objective of a good embedding is to preserve the proximity between vertices in the original graph. This way,…

Artificial Intelligence · Computer Science 2017-01-20 Zhipeng Huang , Nikos Mamoulis

We propose a deep representation of appearance, i. e., the relation of color, surface orientation, viewer position, material and illumination. Previous approaches have useddeep learning to extract classic appearance representationsrelating…

Computer Vision and Pattern Recognition · Computer Science 2019-10-30 Maxim Maximov , Laura Leal-Taixé , Mario Fritz , Tobias Ritschel

The focus of this article is on the detection and classification of patterns based on groupoids. The approach hinges on descriptive proximity of points in a set based on the neighborliness property. This approach lends support to image…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Enoch A-iyeh , James F. Peters

A scanning pixel camera is a novel low-cost, low-power sensor that is not diffraction limited. It produces data as a sequence of samples extracted from various parts of the scene during the course of a scan. It can provide very detailed…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Yusuf Duman , Jean-Yves Guillemaut , Simon Hadfield

We address problems associated with compactification near and on the light front. In perturbative scalar field theory we illustrate and clarify the relationships among three approaches: (1) quantization on a space-like surface close to a…

High Energy Physics - Theory · Physics 2009-10-31 A. Harindranath , L. Martinovic , J. P. Vary

Scene parsing, or semantic segmentation, consists in labeling each pixel in an image with the category of the object it belongs to. It is a challenging task that involves the simultaneous detection, segmentation and recognition of all the…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Clément Farabet , Camille Couprie , Laurent Najman , Yann LeCun

Predicting masked from visible parts of an image is a powerful self-supervised approach for visual representation learning. However, the common practice of masking random patches of pixels exhibits certain failure modes, which can prevent…

Machine Learning · Computer Science 2025-02-12 Alice Bizeul , Thomas Sutter , Alain Ryser , Bernhard Schölkopf , Julius von Kügelgen , Julia E. Vogt

Semantic segmentation is a critical task in computer vision aiming to identify and classify individual pixels in an image, with numerous applications in for example autonomous driving and medical image analysis. However, semantic…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Halil Ibrahim Aysel , Xiaohao Cai , Adam Prügel-Bennett