26 citations · 203 across the 41 of their papers we have counts for
8 papers · 1 filter
Super Unique Tarski is in UEOPL
John Fearnley, Rahul Savani
We define the Super-Unique-Tarski problem, which is a Tarski instance in which all slices are required to have a unique fixed point. We show that Super-Unique-Tarski lies in UEOPL…
Monotone Contractions
Eleni Batziou, John Fearnley, Spencer Gordon +2
We study functions that are both monotone and contracting, and we consider the problem of finding an -approximate fixed point of $f…
Two Choices are Enough for P-LCPs, USOs, and Colorful Tangents
Michaela Borzechowski, John Fearnley, Spencer Gordon +3
We provide polynomial-time reductions between three search problems from three distinct areas: the P-matrix linear complementarity problem (P-LCP), finding the sink of a unique sin…
The Complexity of Computing KKT Solutions of Quadratic Programs
John Fearnley, Paul W. Goldberg, Alexandros Hollender +1
It is well known that solving a (non-convex) quadratic program is NP-hard. We show that the problem remains hard even if we are only looking for a Karush-Kuhn-Tucker (KKT) point, i…
The Complexity of Gradient Descent: CLS = PPAD PLS
John Fearnley, Paul W. Goldberg, Alexandros Hollender +1
We study search problems that can be solved by performing Gradient Descent on a bounded convex polytopal domain and show that this class is equal to the intersection of two well-kn…
Unique End of Potential Line
John Fearnley, Spencer Gordon, Ruta Mehta +1
This paper studies the complexity of problems in PPAD PLS that have unique solutions. Three well-known examples of such problems are the problem of finding a fixpoint of a c…