1 citations · 1 across the 1 of their papers we have counts for
9 papers
Convergence Analysis of the Rank-Restricted Soft SVD Algorithm
Mahendra Panagoda, Tyrus Berry, Harbir Antil
The soft SVD is a robust matrix decomposition algorithm and a key component of matrix completion methods. However, computing the soft SVD for large sparse matrices is often impract…
A Higher Order Unscented Transform
Deanna Easley, Tyrus Berry
We develop a new approach for estimating the expected values of nonlinear functions applied to multivariate random variables with arbitrary distributions. Rather than assuming a pa…
A Poisson Kalman filter for disease surveillance
Donald Ebeigbe, Tyrus Berry, Steven J. Schiff +1
An optimal filter for Poisson observations is developed as a variant of the traditional Kalman filter. Poisson distributions are characteristic of infectious diseases, which model…
Bridging data science and dynamical systems theory
Tyrus Berry, Dimitrios Giannakis, John Harlim
This short review describes mathematical techniques for statistical analysis and prediction in dynamical systems. Two problems are discussed, namely (i) the supervised learning pro…
Fractional Diffusion Maps
Harbir Antil, Tyrus Berry, John Harlim
In this paper, we extend the diffusion maps algorithm on a family of heat kernels that are either local (having exponential decay) or nonlocal (having polynomial decay), arising in…
Limits on reconstruction of dynamical networks
Jiajing Guan, Tyrus Berry, Timothy Sauer
An observability condition number is defined for physical systems modeled by network dynamics. Assuming the dynamical equations of the network are known and a noisy trajectory is o…