34 citations · 65 across the 16 of their papers we have counts for
4 papers · 1 filter
Moment Estimation for Nonparametric Mixture Models Through Implicit Tensor Decomposition
Yifan Zhang, Joe Kileel
We present an alternating least squares type numerical optimization scheme to estimate conditionally-independent mixture models in , without parameterizing the distri…
Snapshot of Algebraic Vision
Joe Kileel, Kathlén Kohn
In this survey article, we present interactions between algebraic geometry and computer vision, which have recently come under the header of algebraic vision. The subject has given…
Scalable symmetric Tucker tensor decomposition
Ruhui Jin, Joe Kileel, Tamara G. Kolda +1
We study the best low-rank Tucker decomposition of symmetric tensors. The motivating application is decomposing higher-order multivariate moments. Moment tensors have special struc…
Tensor Moments of Gaussian Mixture Models: Theory and Applications
João M. Pereira, Joe Kileel, Tamara G. Kolda
Gaussian mixture models (GMMs) are fundamental tools in statistical and data sciences. We study the moments of multivariate Gaussians and GMMs. The -th moment of an -dimensio…