An APSP algorithm using detour-vertex predictions achieves O(n^{2.83} + ηn) time by adapting a co-nondeterministic Exact Triangle algorithm to recover from prediction mistakes.
9 Aditya Bhaskara, Moses Charikar, Eden Chlamtac, Uriel Feige, and Aravindan Vijayaraghavan
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Warm-Starting All-Pairs Shortest Paths with Predictions
An APSP algorithm using detour-vertex predictions achieves O(n^{2.83} + ηn) time by adapting a co-nondeterministic Exact Triangle algorithm to recover from prediction mistakes.