Causal Networks with Selectively Influenced Components

Abstract

In work supervised by Dr. Schweickert, a method for inferring a processing tree to account for response probability was generalized to allow for multiple response classes, parameters such as rates not bounded above by 1, and experimental factors having effects at more than one vertex. A further generalization allows a processing tree to be inferred from joint analysis of reaction time and accuracy. Processing trees were inferred for immediate serial recall data and data on sleep and interference. In the part under Dr. Dzhafarov's supervision, a general mathematical theory of selective influences was elaborated (which input influences which of probabilistically interdependent random outputs); the Joint Distribution Criterion was formulated in complete generality; a theory of pseudo-quasi-metrics was constructed to be used to test for selectiveness of influences; a Linear Feasibility Test for selective influences with finite-valued random outputs was constructed; a formal equivalence of selective influences with the issue of quantum entanglement in physics was established, with non-commuting measurements in quantum physics paralleling the mutually exclusive values of inputs (external factors) in behavioral sciences.

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Document Details

Document Type
Technical Report
Publication Date
Feb 29, 2012
Accession Number
ADA565335

Entities

People

  • E. N. Dzhafarov
  • Janne V. Kujala
  • R. Schweickert

Organizations

  • Purdue University

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Behavioral Sciences
  • Data Analysis
  • Human Factors Engineering
  • Mathematical Models
  • Mental Processes
  • Models
  • Numbers
  • Physics
  • Probability
  • Psychology
  • Quantum Mechanics
  • Random Variables
  • Reaction Time
  • Social Sciences
  • Societies
  • Two Dimensional

Readers

  • Mathematical Modeling and Probability Theory.
  • Neural Network Machine Learning.
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • Quantum Computing
  • Quantum Science - Quantum Key Distribution