11 citations · 12 across the 12 of their papers we have counts for
3 papers · 1 filter
Curvature of high-dimensional data
Jiayi Chen, Mohammad Javad Latifi Jebelli, Daniel N. Rockmore
We consider the problem of estimating curvature where the data can be viewed as a noisy sample from an underlying manifold. For manifolds of dimension greater than one there are mu…
Symmetric star transforms and the algebraic geometry of their dual differential operators
Gaik Ambartsoumian, Asher Auel, Mohammad Javad Latifi Jebelli
The star transform is a generalized Radon transform mapping a function on to the function whose value at a point is the integral along a union of rays emanating from…
Second quantization for classical nonlinear dynamics
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomerry +3
Using techniques from many-body quantum theory, we propose a framework for representing the evolution of observables of measure-preserving ergodic flows through infinite-dimensiona…