$\mathcal{P}$ Play in Candy Nim

1 code implementation • 18 May 2018 • Nitya Mani, Rajiv Nelakanti, Simon Rubinstein-Salzedo, Alex Tholen

Candy Nim is a variant of Nim in which both players aim to take the last candy in a game of Nim, with the added simultaneous secondary goal of taking as many candies as possible.

Combinatorics 91A46

Positive Curvature and Hamiltonian Monte Carlo

no code implementations • NeurIPS 2014 • Christof Seiler, Simon Rubinstein-Salzedo, Susan Holmes

The Jacobi metric introduced in mathematical physics can be used to analyze Hamiltonian Monte Carlo (HMC).

Curvature and Concentration of Hamiltonian Monte Carlo in High Dimensions

1 code implementation • 4 Jul 2014 • Susan Holmes, Simon Rubinstein-Salzedo, Christof Seiler

In this article, we analyze Hamiltonian Monte Carlo (HMC) by placing it in the setting of Riemannian geometry using the Jacobi metric, so that each step corresponds to a geodesic on a suitable Riemannian manifold.

Probability Differential Geometry Statistics Theory Statistics Theory