885 citations · 3.1k across the 27 of their papers we have counts for
28 papers
A convex solution to Psiaki's first joint attitude and spin-rate estimation problem
James Saunderson, Pablo A. Parrilo, Alan S. Willsky
We consider the problem of jointly estimating the attitude and spin-rate of a spinning spacecraft. Psiaki (J. Astronautical Sci., 57(1-2):73--92, 2009) has formulated a family of o…
Semidefinite descriptions of the convex hull of rotation matrices
James Saunderson, Pablo A. Parrilo, Alan S. Willsky
We study the convex hull of , thought of as the set of orthogonal matrices with unit determinant, from the point of view of semidefinite programming. We show tha…
Learning Gaussian Graphical Models with Observed or Latent FVSs
Ying Liu, Alan S. Willsky
Gaussian Graphical Models (GGMs) or Gauss Markov random fields are widely used in many applications, and the trade-off between the modeling capacity and the efficiency of learning…
A New Class of Upper Bounds on the Log Partition Function
Martin Wainwright, Tommi S. Jaakkola, Alan Willsky
Bounds on the log partition function are important in a variety of contexts, including approximate inference, model fitting, decision theory, and large deviations analysis. We intr…
Dirichlet Posterior Sampling with Truncated Multinomial Likelihoods
Matthew James Johnson, Alan S. Willsky
We consider the problem of drawing samples from posterior distributions formed under a Dirichlet prior and a truncated multinomial likelihood, by which we mean a Multinomial likeli…
Diagonal and Low-Rank Matrix Decompositions, Correlation Matrices, and Ellipsoid Fitting
James Saunderson, Venkat Chandrasekaran, Pablo A. Parrilo +1
In this paper we establish links between, and new results for, three problems that are not usually considered together. The first is a matrix decomposition problem that arises in a…