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20202026
most citedOracle Complexity in Nonsmooth Nonconvex Optimization

5 citations · 18 across the 18 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

cs.GT2024

The Oracle Complexity of Simplex-based Matrix Games

Guy Kornowski, Ohad Shamir

We study the problem of solving matrix games of the form , where is a matrix and is the pr…

cs.LG2024

Improved Sample Complexity for Private Nonsmooth Nonconvex Optimization

Guy Kornowski, Daogao Liu, Kunal Talwar

We study differentially private (DP) optimization algorithms for stochastic and empirical objectives which are neither smooth nor convex, and propose methods that return a Goldstei…

math.OC2024

On the Hardness of Meaningful Local Guarantees in Nonsmooth Nonconvex Optimization

Guy Kornowski, Swati Padmanabhan, Ohad Shamir

We study the oracle complexity of nonsmooth nonconvex optimization, with the algorithm assumed to have access only to local function information. It has been shown by Davis, Drusvy…

cs.LG2024

Differentially Private Bilevel Optimization

Guy Kornowski

We present differentially private (DP) algorithms for bilevel optimization, a problem class that received significant attention lately in various machine learning applications. The…

math.OC2024

Open Problem: Anytime Convergence Rate of Gradient Descent

Guy Kornowski, Ohad Shamir

Recent results show that vanilla gradient descent can be accelerated for smooth convex objectives, merely by changing the stepsize sequence. We show that this can lead to surprisin…

math.OC2024

First-Order Methods for Linearly Constrained Bilevel Optimization

Guy Kornowski, Swati Padmanabhan, Kai Wang +2

Algorithms for bilevel optimization often encounter Hessian computations, which are prohibitive in high dimensions. While recent works offer first-order methods for unconstrained b…