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Image Credit: Arxiv

Learning richness modulates equality reasoning in neural networks

  • Equality reasoning is a common and abstract concept that can be evaluated regardless of the objects involved.
  • Same-different (SD) tasks are extensively studied to understand abstract reasoning in humans and animals.
  • Neural networks have shown proficiency in abstract reasoning, sparking interest in studying equality reasoning in these models.
  • However, there is little consensus on conclusions regarding equality reasoning in neural networks.
  • A theory of equality reasoning in multi-layer perceptrons (MLP) is developed to clarify the principles in learning SD tasks.
  • Two types of behaviors, conceptual and perceptual, are identified in relation to equality reasoning.
  • Conceptual behavior is task-specific, efficient in learning, and less affected by irrelevant details.
  • Perceptual behavior is highly sensitive to irrelevant details and requires exhaustive training to learn the task.
  • The behavior of an MLP in equality reasoning tasks is driven by learning richness, categorized as rich or lazy regimes.
  • Rich-regime MLPs exhibit conceptual behavior, while lazy-regime MLPs exhibit perceptual behavior.
  • Experimental validation in vision SD tasks shows that rich feature learning enhances success by promoting conceptual behavior.
  • Learning richness in feature learning is identified as a critical factor influencing equality reasoning.
  • The study suggests that equality reasoning in humans and animals could also depend on learning richness in neural circuits.

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