Tuesday, November 22, 2016

​We review standard model reduction techniques such as Proper Orthogonal Decomposition (POD) with Galerkin projection and Balanced POD (BPOD). ​

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Wednesday, October 26, 2016

​Using recent advances in sparsity-promoting techniques, we present a novel algorithm to solve this sparse sensor placement optimization for classification (SSPOC) that exploits low-dimensional str

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Monday, September 19, 2016
Percolation is widely used to study spreading processes on networks. A number of generalized versions of percolation have been introduced.
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Friday, May 13, 2016
A stochastic collocation method coupled with an analytical expansion of the canonical epidemiological master equation is used to analyze the effects of both extrinsic and intrinsic noise.
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Thursday, March 31, 2016
A novel method is presented to compute the exit time for the stochastic simulation alogrithm. The method is based on the addition of random variables and is derived using the convolution theorem.
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Wednesday, February 24, 2016

We develop a new generalization of Koopman operator theory that incorporates the effects of inputs and control.

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Thursday, January 28, 2016
This publication examines new stochastic simulations of a prototypical infection on the dense, highly-connected United States air travel network.
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Tuesday, January 26, 2016
This publication explores a new method, called Dynamic Mode Decomposition with control (DMDc), which extends DMD to incorporate the effect of inputs and control.
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Sunday, October 11, 2015
Koopman spectral analysis provides an operator-theoretic perspective to dynamical systems rather than the more standard geometric and probabilistic perspectives.
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Friday, September 11, 2015
Extracting physical laws from data is a central challenge in many diverse areas of science and engineering.
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