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The combination of words ``discrete curvature'' is only an apparent contradiction. In this survey we describe curvature notions associated with polygons, polyhedral surfaces, and with abstract polyhedral manifolds. Several theorems about…

Differential Geometry · Mathematics 2025-02-14 Ivan Izmestiev

Automatic face recognition is a research area with high popularity. Many different face recognition algorithms have been proposed in the last thirty years of intensive research in the field. With the popularity of deep learning and its…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Tiago de Freitas Pereira , Dominic Schmidli , Yu Linghu , Xinyi Zhang , Sébastien Marcel , Manuel Günther

Detectability describes the property of a system to uniquely determine, after a finite number of observations, the current and subsequent states. In this paper, to reduce the complexity of checking the detectability properties in the…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

In this paper we provide a comprehensive introduction to knowledge graphs, which have recently garnered significant attention from both industry and academia in scenarios that require exploiting diverse, dynamic, large-scale collections of…

Research is an incremental, iterative process, with new results relying and building upon previous ones. Scientists need to find, retrieve, understand, and verify results in order to confidently extend them, even when the results are their…

Computation · Statistics 2023-06-30 Gabriel Becker , Sara E. Moore , Michael Lawrence

The last decade has witnessed a number of important and exciting developments that had been achieved for improving recurrence plot based data analysis and to widen its application potential. We will give a brief overview about important and…

Chaotic Dynamics · Physics 2024-09-09 Norbert Marwan , K. Hauke Kraemer

Inscribability of polytopes is a classic subject but also a lively research area nowadays. We illustrate this with a selection of well-known results and recent developments on six particular topics related to inscribable polytopes. Along…

Metric Geometry · Mathematics 2015-11-12 Arnau Padrol , Günter M. Ziegler

Building machines that can understand text like humans is an AI-complete problem. A great deal of research has already gone into this, with astounding results, allowing everyday people to discuss with their telephones, or have their reading…

Information Retrieval · Computer Science 2017-09-13 Christina Lioma

In this paper we study research trends in condensed matter physics. Trends are analyzed by means of the the number of publications in the different sub-fields as function of the years. We found that many research topics have a similar…

Physics and Society · Physics 2012-11-07 C. Attaccalite , S. Barland

In this paper we discuss various problems, associated to temporal phenomena. These problems include persistence and change, the integration of objects and processes, and truth-makers for temporal propositions. We propose an approach which…

Artificial Intelligence · Computer Science 2013-12-09 Heinrich Herre

In this survey we overview known results and get several new results on digraph compositions which generalize several classes of digraphs, such as quasi-transitive digraphs. After an introductory section, the paper is divided into six…

Combinatorics · Mathematics 2023-06-16 Yuefang Sun

Work in progress concerning alternative formalizations of arithmetic.

Logic · Mathematics 2018-01-04 David M. Cerna

We present a short survey of the literature on indexing and retrieval of mathematical knowledge, with pointers to 72 papers and tentative taxonomies of both retrieval problems and recurring techniques.

Information Retrieval · Computer Science 2015-06-30 F. Guidi , C. Sacerdoti Coen

Most existing word embedding approaches do not distinguish the same words in different contexts, therefore ignoring their contextual meanings. As a result, the learned embeddings of these words are usually a mixture of multiple meanings. In…

Computation and Language · Computer Science 2016-12-04 Jian Tang , Meng Qu , Qiaozhu Mei

Provenance is an increasing concern due to the ongoing revolution in sharing and processing scientific data on the Web and in other computer systems. It is proposed that many computer systems will need to become provenance-aware in order to…

Programming Languages · Computer Science 2014-01-06 Umut A. Acar , Amal Ahmed , James Cheney , Roly Perera

In recent years, convolutional neural networks (CNNs) took over the field of document analysis and they became the predominant model for word spotting. Especially attribute CNNs, which learn the mapping between a word image and an attribute…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Fabian Wolf , Philipp Oberdiek , Gernot A. Fink

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

Molecular Networks · Quantitative Biology 2007-05-23 Manuel Middendorf , Etay Ziv , Carter Adams , Jen Hom , Robin Koytcheff , Chaya Levovitz , Gregory Woods , Linda Chen , Chris Wiggins

Scientific document embeddings contain a variety of rich features which can be harnessed for downstream tasks such as recommendation, ranking, and clustering. We explore which tangible insights can be drawn from scientific document…

Digital Libraries · Computer Science 2025-06-11 Brian D. Zimmerman , Joshua Folkins , Olga Vechtomova

This is a review article on the development of the probe and enclosure methods from past to present, focused on their central ideas together with various applications.

Analysis of PDEs · Mathematics 2025-08-25 Masaru Ikehata

We present a selection of known as well as new variants of the Sensitivity Conjecture and point out some weaker versions that are also open.

Computational Complexity · Computer Science 2010-11-02 Pooya Hatami , Raghav Kulkarni , Denis Pankratov