62 citations · 268 across the 38 of their papers we have counts for
10 papers · 1 filter
Ergodic Theorems for Dynamic Imprecise Probability Kinematics
Michele Caprio, Sayan Mukherjee
We formulate an ergodic theory for the (almost sure) limit of a sequence of successive dynam…
Gibbs posterior convergence and the thermodynamic formalism
Kevin McGoff, Sayan Mukherjee, Andrew Nobel
In this paper we consider a Bayesian framework for making inferences about dynamical systems from ergodic observations. The proposed Bayesian procedure is based on the Gibbs poster…
The Geometry of Synchronization Problems and Learning Group Actions
Tingran Gao, Jacek Brodzki, Sayan Mukherjee
We develop a geometric framework that characterizes the synchronization problem --- the problem of consistently registering or aligning a collection of objects. The theory we formu…
Fast moment estimation for generalized latent Dirichlet models
Shiwen Zhao, Barbara E. Engelhardt, Sayan Mukherjee +1
We develop a generalized method of moments (GMM) approach for fast parameter estimation in a new class of Dirichlet latent variable models with mixed data types. Parameter estimati…
Topological consistency via kernel estimation
Omer Bobrowski, Sayan Mukherjee, Jonathan E. Taylor
We introduce a consistent estimator for the homology (an algebraic structure representing connected components and cycles) of level sets of both density and regression functions. O…
Persistent Homology Transform for Modeling Shapes and Surfaces
Katharine Turner, Sayan Mukherjee, Doug M Boyer
In this paper we introduce a statistic, the persistent homology transform (PHT), to model surfaces in and shapes in . This statistic is a collection of…