11 citations · 44 across the 18 of their papers we have counts for
3 papers · 1 filter
Adaptive first-order methods revisited: Convex optimization without Lipschitz requirements
Kimon Antonakopoulos, Panayotis Mertikopoulos
We propose a new family of adaptive first-order methods for a class of convex minimization problems that may fail to be Lipschitz continuous or smooth in the standard sense. Specif…
Adaptive Learning in Continuous Games: Optimal Regret Bounds and Convergence to Nash Equilibrium
Yu-Guan Hsieh, Kimon Antonakopoulos, Panayotis Mertikopoulos
In game-theoretic learning, several agents are simultaneously following their individual interests, so the environment is non-stationary from each player's perspective. In this con…
On the Generalization of Stochastic Gradient Descent with Momentum
Ali Ramezani-Kebrya, Ashish Khisti, Ben Liang
While momentum-based methods, in conjunction with stochastic gradient descent (SGD), are widely used when training machine learning models, there is little theoretical understandin…