1 code implementation • 15 Jan 2024 • Jeff Calder, Nadejda Drenska
In this paper we give a broad overview of the intersection of partial differential equations (PDEs) and graph-based semi-supervised learning.
no code implementations • 31 Aug 2020 • Jeff Calder, Nadejda Drenska
The prediction problem is played (in part) over a discrete graph called the $d$ dimensional de Bruijn graph, where $d$ is the number of days of history used by the experts.
no code implementations • 31 Jul 2020 • Nadejda Drenska, Jeff Calder
We consider the problem with history-dependent experts, in which each expert uses the previous $d$ days of history of the market in making their predictions.
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 • 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.