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Compositionality and systematicity emerge from iterated learning in deep linear networks.

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Summary
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Iterated learning enhances systematic generalization in neural networks by fostering compositional language structures over multiple generations. This method, however, requires extensive datasets to achieve robust generalization.

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Area of Science:

  • Cognitive Science
  • Artificial Intelligence
  • Computational Linguistics

Background:

  • Human systematic generalization involves reasoning about novel situations using prior experiences.
  • Language serves as a prime example of systematic generalization, inspiring machine learning models.
  • Iterated learning, a machine learning paradigm, involves sequential generations of networks learning from predecessors.

Purpose of the Study:

  • To theoretically investigate the emergence of compositional language in neural networks.
  • To analyze how iterated learning facilitates systematic generalization.
  • To refine the definition of systematicity and understand its benefits and limitations within iterated learning.

Main Methods:

  • Analysis of shallow and deep linear networks applied to iterated learning dynamics.
  • Derivation of exact learning dynamics across multiple generations.
  • Refinement of the definition of systematicity for iterated learning.

Main Results:

  • Iterated learning promotes systematic generalization by uncovering compositional substructure in output labels.
  • Multiple generations of iterated learning are necessary for compositional structure emergence.
  • Performance of iterated learning can surpass single-generation networks with early stopping.

Conclusions:

  • Iterated learning effectively facilitates systematic generalization compared to standard training.
  • Emergent systematicity requires extensive datasets, leading to the definition of 'weak systematic generalization'.
  • The study confirms the necessity of multiple learning generations for compositional structure development.