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- Rachel F Daniels, Stephen F Schaffner, +15 authors Dyann F Wirth
- Proceedings of the National Academy of Sciences…
- 2015

To study the effects of malaria-control interventions on parasite population genomics, we examined a set of 1,007 samples of the malaria parasite Plasmodium falciparum collected in Thiès, Senegal between 2006 and 2013. The parasite samples were genotyped using a molecular barcode of 24 SNPs. About 35% of the samples grouped into subsets with identical… (More)

- Joshua L. Proctor, Steven L. Brunton, J. Nathan Kutz
- SIAM J. Applied Dynamical Systems
- 2016

- Samuel H. Rudy, Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz
- Science advances
- 2017

We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The regression framework relies on sparsity-promoting techniques to select the nonlinear and partial derivative terms of the governing equations that most accurately represent the… (More)

The ability to discover physical laws and governing equations from data is one of humankind’s greatest intellectual achievements. A quantitative understanding of dynamic constraints and balances in nature has facilitated rapid development of knowledge and enabled advanced technological achievements, including aircraft, combustion engines, satellites, and… (More)

- Steven L Brunton, Joshua L Proctor, J Nathan Kutz
- Proceedings of the National Academy of Sciences…
- 2016

Extracting governing equations from data is a central challenge in many diverse areas of science and engineering. Data are abundant whereas models often remain elusive, as in climate science, neuroscience, ecology, finance, and epidemiology, to name only a few examples. In this work, we combine sparsity-promoting techniques and machine learning with… (More)

- Niall M. Mangan, Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz
- T-MBMC
- 2016

- Joshua Proctor, J Nathan Kutz
- Optics express
- 2005

A detailed analysis of mode-locking is presented in which the nonlinear mode-coupling behavior in a waveguide array, dual-core fiber, and/or fiber array is used to achieve stable and robust passive modelocking. By using the discrete, nearest-neighbor spatial coupling of these nonlinear mode-coupling devices, low-intensity light can be transferred to the… (More)

- Joshua L. Proctor, J. Nathan Kutz
- Mathematics and Computers in Simulation
- 2007

- Joshua L Proctor, J Nathan Kutz
- Optics letters
- 2005

A novel mode-locking technique is presented in which the intensity-dependent spatial coupling dynamics of a waveguide array is used to achieve temporal mode-locking in a passive optical fiber laser. By use of the discrete, nearest-neighbor spatial coupling of the waveguide array, low-intensity light can be transferred to the neighboring waveguides and… (More)