288 citations · 537 across the 9 of their papers we have counts for
4 papers · 1 filter
Horseshoes in multidimensional scaling and local kernel methods
Persi Diaconis, Sharad Goel, Susan Holmes
Classical multidimensional scaling (MDS) is a method for visualizing high-dimensional point clouds by mapping to low-dimensional Euclidean space. This mapping is defined in terms o…
Rejoinder: Gibbs Sampling, Exponential Families and Orthogonal Polynomials
Persi Diaconis, Kshitij Khare, Laurent Saloff-Coste
We are thankful to the discussants for their hard, interesting work. The main purpose of our paper was to give reasonably sharp rates of convergence for some simple examples of the…
Gibbs Sampling, Exponential Families and Orthogonal Polynomials
Persi Diaconis, Kshitij Khare, Laurent Saloff-Coste
We give families of examples where sharp rates of convergence to stationarity of the widely used Gibbs sampler are available. The examples involve standard exponential families and…
Carries, Shuffling and An Amazing Matrix
Persi Diaconis, Jason Fulman
The number of ``carries'' when random integers are added forms a Markov chain [23]. We show that this Markov chain has the same transition matrix as the descent process when a…