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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Zheng Zhang

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Open access Sep 2026

Representation Redundancy and Algebraic Complexity in Finite-Field Inversion

The representation chosen for a mathematical operation can affect both its algebraic form and its empirical learning difficulty. We study this phenomenon for inversion over F2n, with field elements expressed in varying ordered F2-bases. We prove that two ordered bases induce the same coordinate inversion map if and onl...

Zheng Zhang, Na Zhang · 0 citations
#machine learning Preprint Sep 2026

Representation Redundancy and Structural Complexity in Finite-Field Inversion

The representation chosen for a mathematical operation can affect both its algebraic form and its empirical learning difficulty. We study this phenomenon for inversion over \(\mathbb F_{2^n}\), with field elements expressed in varying ordered \(\mathbb F_2\)-bases. We prove that two ordered bases induce the same coordi...

Zheng Zhang, Nancy R Zhang · 1 citation

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