3 problems
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Logarithmic-factor conjecture for strongly convex second-order methods
Let be a twice-differentiable, -strongly convex function with -Lipschitz gradients and -Lipschitz Hessians, and let an algorithm access…
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Conjecture that lower bounds extend to algorithms with cheaper iterations
Consider finite-sum optimization algorithms using second-order information, and let the Newton method provide the reference for iteration cost. Cheap-iteration conjecture. The assu…
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Conjecture on the worst-case complexity of randomized Hessian sketching
Let be a finite-sum optimization objective, and let a randomized sketching method replace its Hessian by a low-rank approxim…