no code implementations • 23 Jul 2022 • Zhilei Wang, Robert V. Kohn
We develop a new approach to drifting games, a class of two-person games with many applications to boosting and online learning settings.
no code implementations • 11 Feb 2022 • Vladimir A. Kobzar, Robert V. Kohn
This work addresses a version of the two-armed Bernoulli bandit problem where the sum of the means of the arms is one (the symmetric two-armed Bernoulli bandit).
no code implementations • 24 Jul 2020 • Nadejda Drenska, Robert V. Kohn
Compared to other recent applications of partial differential equations to prediction, ours has a new element: there are two timescales, since the recent history changes at every step whereas regret accumulates more slowly.
no code implementations • 5 Dec 2019 • Vladimir A. Kobzar, Robert V. Kohn, Zhilei Wang
To obtain explicit bounds, we construct potentials for the geometric version from potentials used for the fixed horizon version of the problem.
no code implementations • 5 Nov 2019 • Vladimir A. Kobzar, Robert V. Kohn, Zhilei Wang
This work addresses the classic machine learning problem of online prediction with expert advice.
no code implementations • 25 Apr 2019 • Nadejda Drenska, Robert V. Kohn
Focusing on an appropriate continuum limit and using methods from optimal control, we characterize the value of the game as the viscosity solution of a certain nonlinear partial differential equation.