3 problems
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Ross's conjecture on deriving accelerated optimization methods from double-integrator dynamics
Ross's conjecture. The theory could also generate accelerated optimization methods by switching the dynamical model from a single integrator to a double integrator.
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Conjecture on broader stability of the accelerated-gradient counterexample
Let the counterexample constructed in the paper establish failure of initial-value stability for standard deterministic accelerated gradient descent, even for strongly convex and s…
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Conjecture on non-convex acceleration of FedAc
Let FedAc denote the federated accelerated stochastic gradient descent method studied in the paper, and let the objective be non-convex. FedAc's non-convex extension conjecture. Fe…