Sion’s Minimax Theorem in Geodesic Metric Spaces and a Riemannian Extragradient Algorithm

Stochastic saddle-point optimization for the Wasserstein barycenter problem

(2022) Daniil Tiapkin et al.   Optimization Letters

Simple Algorithms for Optimization on Riemannian Manifolds with Constraints

(2019) Changshuo Liu et al.   APPLIED MATHEMATICS AND OPTIMIZATION

Golden ratio algorithms for variational inequalities

(2019) Yura Malitsky   MATHEMATICAL PROGRAMMING

Lower complexity bounds of first-order methods for convex-concave bilinear saddle-point problems

(2019) Yuyuan Ouyang et al.   MATHEMATICAL PROGRAMMING

Non-Negative Principal Component Analysis: Message Passing Algorithms and Sharp Asymptotics

(2016) Andrea Montanari et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Nash-type equilibria on Riemannian manifolds: A variational approach

(2013) Alexandru Kristály   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

The proximal point algorithm in metric spaces

(2012) Miroslav Bačák   ISRAEL JOURNAL OF MATHEMATICS

Equilibrium problems in Hadamard manifolds

(2011) Vittorio Colao et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Generalizations of the Nash Equilibrium Theorem in the KKM Theory

(2010) Sehie Park   Fixed Point Theory and Applications

The Complexity of Computing a Nash Equilibrium

(2009) Constantinos Daskalakis et al.   SIAM JOURNAL ON COMPUTING

A Comprehensive Survey of Multiagent Reinforcement Learning

(2008) L. Busoniu et al.   IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART C-APPLICATIONS AND RE