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Learning in the space-time domain remains a very challenging problem in machine learning and computer vision. Current computational models for understanding spatio-temporal visual data are heavily rooted in the classical single-image based…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Andrei Nicolicioiu , Iulia Duta , Marius Leordeanu

One distinguishing feature of rational curves is that they have algebraic parameterizations. Arc spaces are a way of describing approximations to parameterizations of all curves in some fixed space. Playing on these descriptions, this paper…

Algebraic Geometry · Mathematics 2007-05-23 Zachary Treisman

The individualization-refinement paradigm for computing a canonical labeling and the automorphism group of a graph is investigated. A new algorithmic design aimed at reducing the size of the associated search space is introduced, and a new…

Data Structures and Algorithms · Computer Science 2015-03-13 Adolfo Piperno

Training scene graph classification models requires a large amount of annotated image data. Meanwhile, scene graphs represent relational knowledge that can be modeled with symbolic data from texts or knowledge graphs. While image annotation…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Sahand Sharifzadeh , Sina Moayed Baharlou , Martin Schmitt , Hinrich Schütze , Volker Tresp

Hierarchical classification problems are commonly seen in practice. However, most existing methods do not fully utilize the hierarchical information among class labels. In this paper, a novel label embedding approach is proposed, which…

Methodology · Statistics 2020-07-23 Yiwei Fan , Xiaoling Lu , Yufeng Liu , Junlong Zhao

Binary relations are one of the standard ways to encode, characterise and reason about graphs. Relation algebras provide equational axioms for a large fragment of the calculus of binary relations. Although relations are standard tools in…

Logic in Computer Science · Computer Science 2018-12-18 Rudolf Berghammer , Hitoshi Furusawa , Walter Guttmann , Peter Höfner

An important measure of signed graphs is the line index of balance which has several applications in many fields. However, this graph-theoretic measure was underused for decades because of the inherent complexity in its computation which is…

Social and Information Networks · Computer Science 2018-02-08 Samin Aref , Andrew J. Mason , Mark C. Wilson

A generalization of metric space is presented which is shown to admit a theory strongly related to that of ordinary metric spaces. To avoid the topological effects related to dropping any of the axioms of metric space, first a new, and…

Metric Geometry · Mathematics 2012-01-20 Ittay Weiss

Many tools from the field of graph signal processing exploit knowledge of the underlying graph's structure (e.g., as encoded in the Laplacian matrix) to process signals on the graph. Therefore, in the case when no graph is available, graph…

Data Structures and Algorithms · Computer Science 2017-06-07 Bastien Pasdeloup , Vincent Gripon , Grégoire Mercier , Dominique Pastor , Michael G. Rabbat

In a paired threshold graph, each vertex has a weight, and two vertices are adjacent if their weight sum is large enough and their weight difference is small enough. It generalizes threshold graphs and unit interval graphs, both very well…

Data Structures and Algorithms · Computer Science 2019-10-01 Guozhen Rong , Yixin Cao , Jianxin Wang

Line Chart Data Extraction is a natural extension of Optical Character Recognition where the objective is to recover the underlying numerical information a chart image represents. Some recent works such as ChartOCR approach this problem…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Shufan Li , Congxi Lu , Linkai Li , Haoshuai Zhou

In this paper I will present a novel way of combining proof net proof search with neural networks. It contrasts with the 'standard' approach which has been applied to proof search in type-logical grammars in various different forms. In the…

Computation and Language · Computer Science 2022-11-09 Richard Moot

In order to gain a better understanding of the state space of programs, with the aim of making their verification more tractable, models based on directed topological spaces have been introduced, allowing to take in account equivalence…

Logic in Computer Science · Computer Science 2021-12-30 Samuel Mimram , Aly-Bora Ulusoy

Property graph manages data by vertices and edges. Each vertex and edge can have a property map, storing ad hoc attribute and its value. Label can be attached to vertices and edges to group them. While this schema-less methodology is very…

Databases · Computer Science 2019-04-22 Mingxi Wu

A road map can be interpreted as a graph embedded in the plane, in which each vertex corresponds to a road junction and each edge to a particular road section. We consider the cartographic problem to place non-overlapping road labels along…

Computational Geometry · Computer Science 2015-01-29 Andreas Gemsa , Benjamin Niedermann , Martin Nöllenburg

This work aims to tackle the challenging heterogeneous graph encoding problem in the text-to-SQL task. Previous methods are typically node-centric and merely utilize different weight matrices to parameterize edge types, which 1) ignore the…

Computation and Language · Computer Science 2021-06-11 Ruisheng Cao , Lu Chen , Zhi Chen , Yanbin Zhao , Su Zhu , Kai Yu

The map of a city's streets constitutes a particular case of spatial complex network. However a city is not limited to its topology: it is above all a geometrical object whose particularity is to organize into short and long axes called…

Physics and Society · Physics 2011-06-03 Thomas Courtat , Catherine Gloaguen , Stéphane Douady

When dealing with large graphs, such as those that arise in the context of online social networks, a subset of nodes may be labeled. These labels can indicate demographic values, interest, beliefs or other characteristics of the nodes…

Social and Information Networks · Computer Science 2015-05-27 Smriti Bhagat , Graham Cormode , S. Muthukrishnan

In this article we introduce the notion of weak harmonic labeling of a graph, a generalization of the concept of harmonic labeling defined recently by Benjamini et al. that allows extension to finite graphs and graphs with leaves. We…

Combinatorics · Mathematics 2020-12-01 Pablo Leandro Bonucci , Nicolás Ariel Capitelli

In this paper, we develop a general analysis for the fixed points of the operators defining the graph splitting methods from [SIAM J. Optim., 34 (2024), pp. 1569-1594] by Bredies, Chenchene and Naldi. We particularize it to the case where…

Optimization and Control · Mathematics 2026-03-12 Francisco J. Aragón-Artacho , Heinz H. Bauschke , Rubén Campoy , César López-Pastor