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Structured Relational Representations

Created by
  • Haebom

Author

Arun Kumar, Paul Schrater

Outline

Invariant representations are central to representation learning, but uncovering stable and transferable invariants without suppressing task-relevant signals remains a key challenge. Interpreting an environment relies on abstract knowledge structures to understand the current state, which in turn leads to interactions that are essential drivers of learning and knowledge acquisition. This paper proposes that invariant structures exist within the abstract knowledge space, defined by the closure of relational paths within the knowledge space. These partitions form the structural substrate where knowledge is stored and learning occurs, and inter-partition connectors that encode task-relevant transitions enable the distribution of these knowledge partitions. Thus, invariant partitions provide the fundamental primitives of structured representations. This paper formalizes the computational foundation for a structured relational representation of invariant partitions based on closed semirings.

Takeaways, Limitations

Takeaways:
A new perspective on invariant representation: Partitioning based on the closure of relational paths within an abstract knowledge space.
Emphasizing immutable partitions as a key element in knowledge storage and learning.
A proposal for encoding task-related transitions via inter-partition connectors.
Computational basis formalization of structured relational representations using closed semirings.
Limitations:
Lack of practical implementation and experimental results of the proposed methodology.
Absence of comparative analysis with other representation learning methods.
Lack of specific application examples for specific applications.
Absence of detailed description of specific construction methodology of abstract knowledge space.
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