Browsing by Author "Mukherjee, S"

A Cheeger-type inequality on simplicial complexes

Steenbergen, J; Klivans, C; Mukherjee, S (ADVANCES IN APPLIED MATHEMATICS, 2014-05)

Approximations of Markov Chains and High-Dimensional Bayesian Inference

Mattingly, JC; Johndrow, J; Mukherjee, S; Dunson, D (2015)

CONSISTENCY OF MAXIMUM LIKELIHOOD ESTIMATION FOR SOME DYNAMICAL SYSTEMS

McGoff, K; Mukherjee, S; Nobel, A; Pillai, N (ANNALS OF STATISTICS, 2015-02)

Fréchet Means for Distributions of Persistence Diagrams

Turner, K; Mileyko, Y; Mukherjee, S; Harer, J (Discrete & Computational Geometry, 2014)

Learning gradients on manifolds

Mukherjee, S; Wu, Q; Zhou, DX (BERNOULLI, 2010-02)

Learning gradients: Predictive models that infer geometry and statistical dependence

Wu, Q; Guinney, J; Maggioni, M; Mukherjee, S (Journal of Machine Learning Research, 2010-08-01)

The problems of dimension reduction and inference of statistical dependence are addressed by the modeling framework of learning gradients. The models we propose hold for Euclidean spaces as well as the manifold setting. ...

Probabilistic Fréchet means for time varying persistence diagrams

Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J (Electronic Journal of Statistics, 2015-01-01)

© 2015, Institute of Mathematical Statistics. All rights reserved.In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and variance for a set of diagrams. ...