Author

Qihan Ren

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Preprint Aug 2026

Mathematical Principles and Experimental Discoveries of the Emergence of Symbolic Patterns in Artificial Neural Networks

It is shown that across a broad class of ANNs trained on diverse tasks, their inference logic can indeed be reformulated as sparse symbolic interactions, and two common mathematical criteria lead to the emergence of such sparse symbolic interactions.

Quanshi Zhang, Qihan Ren, Siyu Lou · 0 citations