Concept
Pseudoconvex function
Publications associées (35)
Extra Newton: A First Approach to Noise-Adaptive Accelerated Second-Order Methods
Volkan Cevher, Kimon Antonakopoulos, Ali Kavis
This work proposes a universal and adaptive second-order method for minimizing second-order smooth, convex functions. Our algorithm achieves O(σ/T‾‾√) convergence when the oracle feedback is stochastic with variance σ2, and improves its convergence to O(1/ ...
2022A first-order primal-dual method with adaptivity to local smoothness
Volkan Cevher, Maria-Luiza Vladarean
We consider the problem of finding a saddle point for the convex-concave objective , where is a convex function with locally Lipschitz gradient and is convex and possibly non-smooth. We propose an ...
2021Adaptive Gradient Descent without Descent
We present a strikingly simple proof that two rules are sufficient to automate gradient descent: 1) don’t increase the stepsize too fast and 2) don’t overstep the local curvature. No need for functional values, no line search, no information about the func ...
2020Quasiconvexity and Relaxation in Optimal Transportation of Closed Differential Forms
This manuscript extends the relaxation theory from nonlinear elasticity to electromagnetism and to actions defined on paths of differential forms. The introduction of a gauge allows for a reformulation of the notion of quasiconvexity in Bandyopadhyay et al ...
SPRINGER2019