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Recognizable languages of finite words are part of every computer science cursus, and they are routinely described as a cornerstone for applications and for theory. We would like to briefly explore why that is, and how this word-related…

Logic in Computer Science · Computer Science 2007-05-23 Pascal Weil

The purpose of this paper is to provide a brief overview of nine assessments of face processing skills. These tests have been used commonly in recent years to gauge the skills of perspective 'super-recognisers' with respect to the general…

Neurons and Cognition · Quantitative Biology 2017-05-16 Eilidh Noyes , Alice J. O'Toole

This is a survey of recent and classical results concerning various types of homogeneity, such as n-homogeneity, discrete homogeneity, and countable dense homogeneity. Some new results are also presented, and several problems are posed.

General Topology · Mathematics 2024-07-17 Vitalij A. Chatyrko , Alexandre Karassev

The amount of electronic documents in the Internet grows very quickly. How to effectively identify subjects for documents becomes an important issue. In past, the researches focus on the behavior of nouns in documents. Although subjects are…

Digital Libraries · Computer Science 2007-05-23 Kuang-hua Chen

We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while…

Number Theory · Mathematics 2015-03-13 Zhi-Wei Sun

Formal concepts and closed itemsets proved to be of big importance for knowledge discovery, both as a tool for concise representation of association rules and a tool for clustering and constructing domain taxonomies and ontologies.…

Artificial Intelligence · Computer Science 2017-04-21 Sergei O. Kuznetsov , Tatiana Makhalova

For humans, object detection, recognition, and tracking are innate. These provide the ability for human to perceive their environment and objects within their environment. This ability however doesn't translate well in computers. In…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Shiyao Chen , Dale Chen-Song

The majority of computer vision applications that handle images featuring humans use face detection as a core component. Face detection still has issues, despite much research on the topic. Face detection's accuracy and speed might yet be…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Purnendu Prabhat , Himanshu Gupta , Ajeet Kumar Vishwakarma

I propose that pattern recognition, memorization and processing are key concepts that can be a principle set for the theoretical modeling of the mind function. Most of the questions about the mind functioning can be answered by a…

Artificial Intelligence · Computer Science 2009-07-28 Gilberto de Paiva

The use of monoids in the study of word languages recognized by finite-state automata has been quite fruitful. In this work, we look at the same idea of "recognizability by finite monoids" for other monoids. In particular, we attempt to…

Formal Languages and Automata Theory · Computer Science 2025-02-12 Pranshu Gaba , Arnab Sur

In this paper we present two original methods for recognizing textual inference. First one is a modified resolution method such that some linguistic considerations are introduced in the unification of two atoms. The approach is possible due…

Computation and Language · Computer Science 2008-05-30 Doina Tatar , Militon Frentiu

The use of terms from natural and social scientific titles and abstracts is studied from the perspective of sublanguages and their specialized dictionaries. Different notions of sublanguage distinctiveness are explored. Objective methods…

cmp-lg · Computer Science 2008-02-03 Robert M. Losee , Stephanie W. Haas

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

Number Theory · Mathematics 2017-04-14 Thomas Baruchel

We refine and extend prior views of the description, purposes, and contexts-of-use of acknowledgment acts through empirical examination of the use of acknowledgments in task-based conversation. We distinguish three broad classes of…

cmp-lg · Computer Science 2008-02-03 David G. Novick , Stephen Sutton

In connection to the development of the field of Combinatorics on Words, we present a list of open problems and conjectures that were stated during the ten last meetings WORDS. We wish to continually update the present document by adding…

Formal Languages and Automata Theory · Computer Science 2017-05-12 Jean Néraud

This paper is a tutorial on Formal Concept Analysis (FCA) and its applications. FCA is an applied branch of Lattice Theory, a mathematical discipline which enables formalisation of concepts as basic units of human thinking and analysing…

Information Retrieval · Computer Science 2017-03-09 Dmitry I. Ignatov

Understanding the laws that govern a phenomenon is the core of scientific progress. This is especially true when the goal is to model the interplay between different aspects in a causal fashion. Indeed, causal inference itself is…

Artificial Intelligence · Computer Science 2025-08-27 Alessio Zanga , Elif Ozkirimli , Fabio Stella

We revisit the notion of one-sided recognizability of morphisms and its relation to two-sided recognizability.

Dynamical Systems · Mathematics 2022-04-13 Marie-Pierre Béal , Valérie Berthé , Dominique Perrin , Antonio Restivo

Dense Retrieval (DR) reaches state-of-the-art results in first-stage retrieval, but little is known about the mechanisms that contribute to its success. Therefore, in this work, we conduct an interpretation study of recently proposed DR…

Information Retrieval · Computer Science 2021-11-30 Jingtao Zhan , Jiaxin Mao , Yiqun Liu , Jiafeng Guo , Min Zhang , Shaoping Ma

Contrastive learning has recently emerged as a promising approach for learning data representations that discover and disentangle the explanatory factors of the data. Previous analyses of such approaches have largely focused on individual…

Machine Learning · Computer Science 2023-11-09 Stefan Matthes , Zhiwei Han , Hao Shen
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