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Extremal bounds for bootstrap percolation in the hypercube

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A Note on Small Percolating Sets on Hypercubes via Generative AI

cs.LG · 2024-11-29 · conditional · novelty 6.0

New upper bounds for bootstrap percolation on hypercubes: an AI-inspired construction improves the second-order term for r at least 5, and a 122-element percolating set is found for the 13-dimensional cube with threshold 4.

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  • A Note on Small Percolating Sets on Hypercubes via Generative AI cs.LG · 2024-11-29 · conditional · none · ref 8

    New upper bounds for bootstrap percolation on hypercubes: an AI-inspired construction improves the second-order term for r at least 5, and a 122-element percolating set is found for the 13-dimensional cube with threshold 4.