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J. Nathan Kutz
University of Washington
413Publications
38H-index
5,644Citations
Publications 410
Newest
#1Samuel H. Rudy (UW: University of Washington)H-Index: 4
#2Steven L. Brunton (UW: University of Washington)H-Index: 27
Last.J. Nathan Kutz (UW: University of Washington)H-Index: 38
view all 3 authors...
Abstract The analysis of high-dimensional dynamical systems generally requires the integration of simulation data with experimental measurements. Experimental data often has substantial amounts of measurement noise that compromises the ability to produce accurate dimensionality reduction, parameter estimation, reduced order models, and/or balanced models for control. Data assimilation attempts to overcome the deleterious effects of noise by producing a set of algorithms for state estimation from...
1 CitationsSource
#1Daniel Dylewsky (UW: University of Washington)H-Index: 1
#2Xiu Yang (PNNL: Pacific Northwest National Laboratory)H-Index: 9
Last.J. Nathan Kutz (UW: University of Washington)H-Index: 38
view all 4 authors...
Networked power grid systems are susceptible to a phenomenon known as Coherent Swing Instability (CSI), in which a subset of machines in the grid lose synchrony with the rest of the network. We develop network level evaluation metrics to (i) identify community substructures in the power grid network, (ii) determine weak points in the network that are particularly sensitive to CSI, and (iii) produce an engineering approach for the addition of transmission lines to reduce the incidences of CSI in ...
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#1Nina de Lacy (UW: University of Washington)H-Index: 4
#2Elizabeth McCauley (UW: University of Washington)H-Index: 42
Last.Vince D. Calhoun (Georgia Institute of Technology)H-Index: 93
view all 4 authors...
Abstract The application of dynamic or time-varying connectivity techniques to neuroimaging data represents a new and complementary method to traditional static (time-averaged) methods, capturing additional patterns of variation in human brain function. Dynamic connectivity and related measures of brain dynamism have been detailed in neurotypical brain function, during human development and across neuropsychiatric disorders, and linked to cognitive control and executive function abilities. Despi...
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#1Samuel H. Rudy (UW: University of Washington)H-Index: 4
#2J. Nathan Kutz (UW: University of Washington)H-Index: 38
Last.Steven L. Brunton (UW: University of Washington)H-Index: 27
view all 3 authors...
Abstract A critical challenge in the data-driven modeling of dynamical systems is producing methods robust to measurement error, particularly when data is limited. Many leading methods either rely on denoising prior to learning or on access to large volumes of data to average over the effect of noise. We propose a novel paradigm for data-driven modeling that simultaneously learns the dynamics and estimates the measurement noise at each observation. By constraining our learning algorithm, our met...
13 CitationsSource
#1N. Benjamin Erichson (St And: University of St Andrews)H-Index: 7
#2Steven L. Brunton (UW: University of Washington)H-Index: 27
Last.J. Nathan Kutz (UW: University of Washington)H-Index: 38
view all 3 authors...
We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition is a regression technique that integrates two of the leading data analysis methods in use today: Fourier transforms and singular value decomposition. Borrowing ideas from compressed sensing and matrix sketching, cDMD eases the computational workload of high-resolution video processing. The key principal of cDMD is to obtain the decomposition on a (small) compressed matr...
19 CitationsSource
#1Natalya V. Kaverina (UW: University of Washington)H-Index: 12
#2Diana G. Eng (UW: University of Washington)H-Index: 9
Last.Stuart J. Shankland (UW: University of Washington)H-Index: 62
view all 9 authors...
Podocytes are differentiated post-mitotic cells that cannot replace themselves after injury. Glomerular parietal epithelial cells are proposed to be podocyte progenitors. To test whether a subset of parietal epithelial cells transdifferentiate to a podocyte fate, dual reporter PEC-rtTA|LC1|tdTomato|Nphs1-FLPo|FRT-EGFP mice, named PEC-PODO, were generated. Doxycycline administration permanently labeled parietal epithelial cells with tdTomato reporter (red), and upon doxycycline removal, the parie...
1 CitationsSource
Poincar\'e maps are an integral aspect to our understanding and analysis of nonlinear dynamical systems. Despite this fact, the construction of these maps remains elusive and is primarily left to simple motivating examples. In this manuscript we propose a method of data-driven discovery of Poincar\'e maps based upon sparse regression techniques, specifically the sparse identification of nonlinear dynamics (SINDy) algorithm. This work can be used to determine the dynamics on and near invariant ma...
#1Shanwu LiH-Index: 2
#2Eurika KaiserH-Index: 7
Last.J. Nathan KutzH-Index: 38
view all 6 authors...
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#1James KochH-Index: 2
#2Mitsuru KurosakaH-Index: 10
Last.J. Nathan KutzH-Index: 38
view all 4 authors...
Direct observation of a Rotating Detonation Engine combustion chamber has enabled the extraction of the kinematics of its detonation waves. These records exhibit a rich set of instabilities and bifurcations arising from the interaction of coherent wave fronts and global gain dynamics. We develop a model of the observed dynamics by recasting Majda's detonation analog as an autowave process. The solution fronts become attractors of the engine; i.e., mode-locked rotating detonation waves. We find t...
#1Lucas M. Stolerman (FIOCRUZ: Oswaldo Cruz Foundation)H-Index: 2
#2Pedro D. Maia (UW: University of Washington)H-Index: 6
Last.J. Nathan Kutz (UW: University of Washington)H-Index: 38
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Local climate conditions play a major role in the biology of the Aedes aegypti mosquito, the main vector responsible for transmitting dengue, zika, chikungunya and yellow fever in urban centers. For this reason, a detailed assessment of periods in which changes in climate conditions affect the number of human cases may improve the timing of vector-control efforts. In this work, we develop new machine-learning algorithms to analyze climate time series and their connection to the occurrence of den...
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