Practical Markov Logic Containing First-Order Quantifiers With Application to Identity Uncertainty

Abstract

Markov logic is a highly expressive language recently introduced to specify the connectivity of a Markov network using first-order logic. While Markov logic is capable of constructing arbitrary first-order formulae over the data, the complexity of these formulae is often limited in practice because of the size and connectivity of the resulting network. In this paper, we present approximate inference and training methods that incrementally instantiate portions of the network as needed to enable first-order existential and universal quantifiers in Markov logic networks. When applied to the problem of object identification, this approach results in a conditional probabilistic model that can reason about objects, combining the expressively of recently introduced BLOG models with the predictive power of conditional training. We validate our algorithms on the tasks of citation matching and author disambiguation.

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Document Details

Document Type
Technical Report
Publication Date
Sep 08, 2005
Accession Number
ADA440385

Entities

People

  • Andrew McCallum
  • Aron Culotta

Organizations

  • University of Massachusetts Amherst

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Computer Science
  • Data Mining
  • Data Sets
  • Databases
  • Generative Models
  • Identification
  • Identities
  • Logic Gates
  • Machine Learning
  • Models
  • National Security
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Uncertainty

Fields of Study

  • Computer science

Readers

  • Agent-Based Social Robotics and Mobile-Assisted Learning in Virtual Environments.
  • Computational Linguistics
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • AI & ML
  • AI & ML - Neural Networks