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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.
Psychonomic Bulletin & Review
|October 22, 2024
Summary
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.
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.
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