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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

The idea of fully accepting statements when the evidence has rendered them probable enough faces a number of difficulties. We leave the interpretation of probability largely open, but attempt to suggest a contextual approach to full belief.…

人工智能 · 计算机科学 2013-02-08 Henry E. Kyburg

We introduce constructive and classical systems for nonstandard arithmetic and show how variants of the functional interpretations due to Goedel and Shoenfield can be used to rewrite proofs performed in these systems into standard ones.…

逻辑 · 数学 2012-07-20 Benno van den Berg , Eyvind Briseid , Pavol Safarik

In this paper, we advocate the use of stratified logical theories for representing probabilistic models. We argue that such encodings can be more interpretable than those obtained in existing frameworks such as Markov logic networks. Among…

人工智能 · 计算机科学 2016-11-21 Ondrej Kuzelka , Jesse Davis , Steven Schockaert

A description is an entity that can be interpreted as true or false of an object, and using feature structures as descriptions accrues several computational benefits. In this paper, I create an explicit interpretation of a typed feature…

cmp-lg · 计算机科学 2008-02-03 Paul John King

This paper introduces a new probabilistic architecture called Sum-Product Graphical Model (SPGM). SPGMs combine traits from Sum-Product Networks (SPNs) and Graphical Models (GMs): Like SPNs, SPGMs always enable tractable inference using a…

机器学习 · 统计学 2017-08-23 Mattia Desana , Christoph Schnörr

To understand changes in physical systems and facilitate decisions, explaining how model predictions are made is crucial. We use model-based interpretability, where models of physical systems are constructed by composing basic constructs…

人工智能 · 计算机科学 2020-03-24 Ion Matei , Johan de Kleer , Christoforos Somarakis , Rahul Rai , John S. Baras

Head-driven phrase structure grammar (HPSG) enjoys a uniform formalism representing rich contextual syntactic and even semantic meanings. This paper makes the first attempt to formulate a simplified HPSG by integrating constituent and…

计算与语言 · 计算机科学 2020-05-06 Junru Zhou , Hai Zhao

We propose a new class of probabilistic neural-symbolic models, that have symbolic functional programs as a latent, stochastic variable. Instantiated in the context of visual question answering, our probabilistic formulation offers two key…

机器学习 · 计算机科学 2019-07-01 Ramakrishna Vedantam , Karan Desai , Stefan Lee , Marcus Rohrbach , Dhruv Batra , Devi Parikh

Probabilistic graphical models allow us to encode a large probability distribution as a composition of smaller ones. It is oftentimes the case that we are interested in incorporating in the model the idea that some of these smaller…

人工智能 · 计算机科学 2021-11-17 Jesus Cerquides

This paper is an attempt to bring together two approaches to language analysis. The possible use of probabilistic information in principle-based grammars and parsers is considered, including discussion on some theoretical and computational…

cmp-lg · 计算机科学 2008-02-03 Andrew Fordham , Matthew Crocker

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

机器学习 · 计算机科学 2026-04-08 Kevin Zhang , Yixin Wang

This paper suggests a new interpretation of the Dempster-Shafer theory in terms of probabilistic interpretation of plausibility. A new rule of combination of independent evidence is shown and its preservation of interpretation is…

人工智能 · 计算机科学 2017-04-07 Mieczysław Kłopotek

In this paper, we present an alternative approach to multiple inheritance for typed feature structures. In our approach, a feature structure can be associated with several types coming from different hierarchies (dimensions). In case of…

cmp-lg · 计算机科学 2008-02-03 Gregor Erbach

Various semantics for studying the square of opposition and the hexagon of opposition have been proposed recently. We interpret sentences by imprecise (set-valued) probability assessments on a finite sequence of conditional events. We…

概率论 · 数学 2017-10-13 Niki Pfeifer , Giuseppe Sanfilippo

We describe a generative probabilistic model of natural language, which we call HBG, that takes advantage of detailed linguistic information to resolve ambiguity. HBG incorporates lexical, syntactic, semantic, and structural information…

cmp-lg · 计算机科学 2008-02-03 Ezra Black , Fred Jelinek , John Lafferty , David M. Magerman , Robert Mercer , Salim Roukos

Probabilistic analogues of regular and context-free grammars are well-known in computational linguistics, and currently the subject of intensive research. To date, however, no satisfactory probabilistic analogue of attribute-value grammars…

cmp-lg · 计算机科学 2008-02-03 Steven Abney

In a previous paper the authors applied the Abstract Interpretation approach for approximating the probabilistic semantics of biological systems, modeled specifically using the Chemical Ground Form calculus. The methodology is based on the…

计算机科学中的逻辑 · 计算机科学 2009-12-01 Roberta Gori , Francesca Levi

In this paper, we propose a semantic communication approach based on probabilistic graphical model (PGM). The proposed approach involves constructing a PGM from a training dataset, which is then shared as common knowledge between the…

机器学习 · 计算机科学 2024-08-09 Haowen Wan , Qianqian Yang , Jiancheng Tang , Zhiguo shi

This manuscript proposes a probabilistic framework for algorithms that iteratively solve unconstrained linear problems $Bx = b$ with positive definite $B$ for $x$. The goal is to replace the point estimates returned by existing methods with…

最优化与控制 · 数学 2014-10-16 Philipp Hennig