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math.PR2026
Norm Bounds for Sparse Random Tensors and Spectral Gap of Random Hypergraphs
Kevin Lucca, Lucas Pesenti
Friedman and Wigderson (1995) introduced a notion of second eigenvalue for hypergraphs that generalizes the second eigenvalue of the adjacency matrix of a graph. We show that -u…
math.PR2026
Universality of first-order methods on random and deterministic matrices
Nicola Gorini, Chris Jones, Dmitriy Kunisky +1
General first-order methods (GFOM) are a flexible class of iterative algorithms which update a state vector by matrix-vector multiplications and entrywise nonlinearities. A long li…