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Group theory is a particularly fertile field for the design of practical algorithms. Algorithms have been developed across the various branches of the subject and they find wide application. Because of its relative maturity, computational…

群论 · 数学 2009-09-25 John Cannon , George Havas

Relationships among objects play a crucial role in image understanding. Despite the great success of deep learning techniques in recognizing individual objects, reasoning about the relationships among objects remains a challenging task.…

计算机视觉与模式识别 · 计算机科学 2017-04-13 Bo Dai , Yuqi Zhang , Dahua Lin

Typology is a subfield of linguistics that focuses on the study and classification of languages based on their structural features. Unlike genealogical classification, which examines the historical relationships between languages, typology…

计算与语言 · 计算机科学 2025-04-30 Gerhard Jäger

Considering a group of users, each specifying individual preferences over categorical attributes, the problem of determining a set of objects that are objectively preferable by all users is challenging on two levels. First, we need to…

数据库 · 计算机科学 2015-10-01 Nikos Bikakis , Karim Benouaret , Dimitris Sacharidis

We present a new programming paradigm which can be useful, in particular, for implementing window interfaces and parallel algorithms. This paradigm allows a user to define operators which can contain nested operators. The new paradigm is…

编程语言 · 计算机科学 2010-04-26 Pavel Ruzankin

Recognition of objects using Deep Neural Networks is an active area of research and many breakthroughs have been made in the last few years. The paper attempts to indicate how far this field has progressed. The paper briefly describes the…

计算机视觉与模式识别 · 计算机科学 2014-12-12 Soren Goyal , Paul Benjamin

There are different notions of computation, the most popular being monads, applicative functors, and arrows. In this article we show that these three notions can be seen as monoids in a monoidal category. We demonstrate that at this level…

计算机科学中的逻辑 · 计算机科学 2014-06-19 Exequiel Rivas , Mauro Jaskelioff

Recursive relational specifications are commonly used to describe the computational structure of formal systems. Recent research in proof theory has identified two features that facilitate direct, logic-based reasoning about such…

计算机科学中的逻辑 · 计算机科学 2010-09-24 Andrew Gacek , Dale Miller , Gopalan Nadathur

Though many ontologies have huge number of classes, one cannot find a good number of object properties connecting the classes in most of the cases. Adding object properties makes an ontology richer and more applicable for tasks such as…

数据库 · 计算机科学 2020-09-15 Subhashree S , P Sreenivasa Kumar

The paper proposes a fresh look at the concept of goal and advances that motivational attitudes like desire, goal and intention are just facets of the broader notion of (acceptable) outcome. We propose to encode the preferences of an agent…

计算机科学中的逻辑 · 计算机科学 2022-09-13 Guido Governatori , Francesco Olivieri , Simone Scannapieco , Antonino Rotolo , Matteo Cristani

The notion of concept has been studied for centuries, by philosophers, linguists, cognitive scientists, and researchers in artificial intelligence (Margolis & Laurence, 1999). There is a large literature on formal, mathematical models of…

Well-founded fixed points have been used in several areas of knowledge representation and reasoning and to give semantics to logic programs involving negation. They are an important ingredient of approximation fixed point theory. We study…

离散数学 · 计算机科学 2015-12-02 Arnaud Carayol , Zoltan Esik

We conjecture that the relative unpopularity of logical frameworks among practitioners is partly due to their complex meta-languages, which often demand both programming skills and theoretical knowledge of the meta-language in question for…

计算机科学中的逻辑 · 计算机科学 2021-06-29 Bruno Cuconato , Jefferson de Barros Santos , Edward Hermann Haeusler

The theory of computational complexity focuses on functions and, hence, studies programs whose interactive behavior is reduced to a simple question/answer pattern. We propose a broader theory whose ultimate goal is expressing and analyzing…

计算复杂性 · 计算机科学 2012-09-05 Ugo Dal Lago , Tobias Heindel , Damiano Mazza , Daniele Varacca

Object recognition has become a crucial part of machine learning and computer vision recently. The current approach to object recognition involves Deep Learning and uses Convolutional Neural Networks to learn the pixel patterns of the…

计算机视觉与模式识别 · 计算机科学 2017-08-29 Abrar Ahmed , Anish Bikmal

Computational feasibility is a widespread concern that guides the framing and modeling of biological and artificial intelligence. The specification of cognitive system capacities is often shaped by unexamined intuitive assumptions about the…

人工智能 · 计算机科学 2022-05-12 Federico Adolfi , Todd Wareham , Iris van Rooij

To endow machines with the ability to perceive the real-world in a three dimensional representation as we do as humans is a fundamental and long-standing topic in Artificial Intelligence. Given different types of visual inputs such as…

计算机视觉与模式识别 · 计算机科学 2020-10-20 Bo Yang

We study primary submodules and primary decompositions from a differential and computational point of view. Our main theoretical contribution is a general structure theory and a representation theorem for primary submodules of an arbitrary…

交换代数 · 数学 2022-02-15 Justin Chen , Yairon Cid-Ruiz

Learning structured representations of visual scenes is currently a major bottleneck to bridging perception with reasoning. While there has been exciting progress with slot-based models, which learn to segment scenes into sets of objects,…

Combinatorics, like computer science, often has to deal with large objects of unspecified (or unusable) structure. One powerful way to deal with such an arbitrary object is to decompose it into more usable components. In particular, it has…

组合数学 · 数学 2011-11-10 Terence Tao