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Incorporate Concept Hierarchies and Ordering

Investigate the impact of introducing explicit concept hierarchies or inherent ordering of concepts into the concept–text bipartite framework and ascertain the advantages, if any, for concept learning efficiency and emergent skill composition.

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Background

The framework models concept learning via a peeling process and skill acquisition through hierarchical skill levels, but it does not impose an inherent ordering among concepts or explicit concept hierarchies. The authors point out this modeling choice and suggest exploring the benefits of adding such structure.

They frame this as part of the open questions raised in the conclusion, indicating potential gains from hierarchical organization that are currently unexplored within their model.

References

There are some open questions and considerations worth exploring. Even though the sequential learning of concepts through peeling process gives certain ordering to concepts, there is no inherent ordering of concepts and we do not consider concept hierarchies . One can explore the advantages of doing so.

— An Information Theory of Compute-Optimal Size Scaling, Emergence, and Plateaus in Language Models (2410.01243 - Nayak et al., 2 Oct 2024) in Conclusion, final paragraph