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Updated: Jun 9, 2025

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Transitive inference as probabilistic preference learning.

Francesco Mannella1, Giovanni Pezzulo2

  • 1Institute of Cognitive Sciences and Technologies, National Research Council, 00185, Rome, Italy.

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Summary
This summary is machine-generated.

This study introduces a new probabilistic preference learning framework for transitive inference (TI). The Mallows model effectively reproduces key TI effects and aligns with neural activity, offering insights into cognitive mechanisms.

Keywords:
Mallows modelProbabilistic inferenceSerial position effectSymbolic distance effectTransitive inference

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Area of Science:

  • Cognitive Science
  • Computational Neuroscience
  • Machine Learning

Background:

  • Transitive inference (TI) involves inferring new relationships from known ones.
  • TI exhibits behavioral signatures like the serial position effect (SPE) and symbolic distance effect (SDE).
  • The brain's ability to manage and integrate ranking models is crucial for TI.

Purpose of the Study:

  • To propose a novel framework for understanding transitive inference (TI).
  • To model TI as a probabilistic preference learning task using Mallows models.
  • To explore the neural underpinnings of TI through computational modeling.

Main Methods:

  • Utilized one-parameter Mallows models to represent TI as a probabilistic preference learning task.
  • Conducted simulations to validate the Mallows model's effectiveness.
  • Extended the model with Bayesian selection for hypothesis generation and merging.
  • Employed neural networks to replicate Mallows models and compare with neural data.

Main Results:

  • The Mallows ranking model successfully reproduced the symbolic distance effect (SDE) and serial position effect (SPE).
  • Bayesian extension demonstrated the model's capability to generate and merge ranking hypotheses.
  • Neural network replication showed alignment with prefrontal neural activity during TI.

Conclusions:

  • The proposed probabilistic preference learning framework offers a new perspective on transitive inference (TI).
  • Mallows models provide a robust computational tool for explaining TI phenomena.
  • This approach bridges computational modeling and neuroscience to elucidate TI mechanisms.