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Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

计算与语言 · 计算机科学 2017-09-04 Guy Emerson , Ann Copestake

Natural language semantics has recently sought to combine the complementary strengths of formal and distributional approaches to meaning. More specifically, proposals have been put forward to augment formal semantic machinery with…

计算与语言 · 计算机科学 2021-03-03 Noortje J. Venhuizen , Petra Hendriks , Matthew W. Crocker , Harm Brouwer

Different semantic interpretation tasks such as text entailment and question answering require the classification of semantic relations between terms or entities within text. However, in most cases it is not possible to assign a direct…

计算与语言 · 计算机科学 2018-05-18 Siamak Barzegar , Andre Freitas , Siegfried Handschuh , Brian Davis

We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describe the semisimplification of this category.

表示论 · 数学 2026-04-07 Elijah Bodish , Daniel Tubbenhauer

As the use and diversity of diagrams across many disciplines grows, there is an increasing interest in the diagrams research community concerning how such diversity might be documented and explained. In this article, we argue that one way…

计算与语言 · 计算机科学 2022-06-14 Tuomo Hiippala , John A. Bateman

Automated decision making is often complicated by the complexity of the knowledge involved. Much of this complexity arises from the context sensitive variations of the underlying phenomena. We propose a framework for representing…

人工智能 · 计算机科学 2013-03-25 Tze-Yun Leong

Human beings possess the most sophisticated computational machinery in the known universe. We can understand language of rich descriptive power, and communicate in the same environment with astonishing clarity. Two of the many contributors…

计算与语言 · 计算机科学 2021-01-01 Karthikeya Ramesh Kaushik , Andrea E. Martin

A bialgebra is a structure which is simultaneously an algebra and a coalgebra, such that the algebraic and coalgebraic parts are "compatible". Bialgebras are normally studied over a field or commutative ring. In this paper, we show how to…

环与代数 · 数学 2009-10-30 James Worthington

This paper investigates the concept of digital city. First, a functional analysis of a digital city is made in the light of the modern study of urbanism; similarities between the virtual and urban constructions are pointed out. Next, a…

人工智能 · 计算机科学 2007-05-23 Victor V. Kryssanov , Masayuki Okabe , Koh Kakusho , Michihiko Minoh

This document reports on the use of an algebraic, visual, formal approach to the specification of patterns for the formalization of the GoF design patterns. The approach is based on graphs, morphisms and operations from category theory and…

软件工程 · 计算机科学 2010-03-18 Paolo Bottoni , Esther Guerra , Juan de Lara

This paper presents an operational semantics for UML activity diagrams. The purpose of this semantics is three-fold: to give a robust basis for verifying model correctness; to help validate model transformations; and to provide a…

计算机科学中的逻辑 · 计算机科学 2016-04-11 Zamira Daw , Rance Cleaveland

Modern approaches to semanic analysis if reformulated as Hilbert-space problems reveal formal structures known from quantum mechanics. Similar situation is found in distributed representations of cognitive structures developed for the…

量子物理 · 物理学 2016-09-08 Diederik Aerts , Marek Czachor

We present a formal language with expressions denoting general symbol structures and queries which access information in those structures. A sequence-to-sequence network processing this language learns to encode symbol structures and query…

人工智能 · 计算机科学 2018-03-13 Roland Fernandez , Asli Celikyilmaz , Rishabh Singh , Paul Smolensky

We present the formalization of a theory of syntax with bindings that has been developed and refined over the last decade to support several large formalization efforts. Terms are defined for an arbitrary number of constructors of varying…

计算机科学中的逻辑 · 计算机科学 2017-07-04 Lorenzo Gheri , Andrei Popescu

The explicit relationship among perception, communication, and design is being discussed in some detail, in order to relate it to characteristic details of the modeling of the world which defines the scientific and artistic activities of…

适应与自组织系统 · 物理学 2007-05-23 R. E. Zimmermann , S. Ley , V. G. Budanov , V. E. Voitsekhovitch

This paper proves a homomorphism between extensional formal semantics and distributional vector space semantics, demonstrating structural compatibility. Formal semantics models meaning as reference, using logical structures to map…

逻辑 · 数学 2026-01-01 Daniel Quigley

A longstanding question in cognitive science concerns the learning mechanisms underlying compositionality in human cognition. Humans can infer the structured relationships (e.g., grammatical rules) implicit in their sensory observations…

机器学习 · 计算机科学 2021-05-20 Jacob Russin , Roland Fernandez , Hamid Palangi , Eric Rosen , Nebojsa Jojic , Paul Smolensky , Jianfeng Gao

Distributional semantics provides multi-dimensional, graded, empirically induced word representations that successfully capture many aspects of meaning in natural languages, as shown in a large body of work in computational linguistics;…

计算与语言 · 计算机科学 2020-03-19 Gemma Boleda

Two modalities are often used to convey information in a complementary and beneficial manner, e.g., in online news, videos, educational resources, or scientific publications. The automatic understanding of semantic correlations between text…

多媒体 · 计算机科学 2019-06-21 Christian Otto , Matthias Springstein , Avishek Anand , Ralph Ewerth

We introduce a framework for online structure theory. Our approach generalises notions arising independently in several areas of computability theory and complexity theory. We suggest a unifying approach using operators where we allow the…

逻辑 · 数学 2023-06-22 Rod Downey , Alexander Melnikov , Keng Meng Ng
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