Multiscale Modeling, Simulation and Theory of Complex Systems
I develop theory for models of high-dimensional data and nonlinear dynamical systems that involve multilayer, multiplex and temporal networks.
I develop methods including multiscale models, perturbation theory, random matrix theory, information theory, numerical methods, topological data analysis and dynamics-driven geometry.
I study multiscale and self-organizing aspects of biological, social, physical, and information systems through interdisciplinary collaborations with domain experts.
A Queiruga, NB Erichson, D Taylor and MW Mahoney (2020) Continuous-in-depth neural networks. Submitted. [arXiv]
NB Erichson, D Taylor, Q Wu and MW Mahoney (2020) Noise-response analysis for rapid detection of backdoors in deep neural networks. Submitted. [arXiv]
D Taylor, MA Porter and PJ Mucha (2019) Tunable eigenvector-based centralities for multiplex and temporal networks. Submitted. [arXiv]
D Taylor (2020) Multiplex Markov chains: Convection cycles and optimality. Physical Review Research 2, 033164.
PS Skardal, D Taylor, J Sun (2019) Synchronization of network-coupled oscillators with uncertain dynamics. SIAM Journal on Applied Mathematics 79(6), 2409–2433.
Z Li, PJ Mucha and D Taylor (2018) Network-ensemble comparisons with stochastic rewiring and von Neumann entropy. SIAM Journal on Applied Mathematics 78(2), 897–920.
D Taylor, RS Caceres and PJ Mucha (2017) Super-resolution community detection for layer-aggregated multilayer networks. Physical Review X 7, 031056.
D Taylor, S Shai, N Stanley and PJ Mucha (2016) Enhanced detectability of community structure in multilayer networks through layer aggregation. Physical Review Letters 116, 228301.
D Taylor, F Klimm, HA Harrington, M Kramar, K Mischaikow, MA Porter and PJ Mucha (2015) Topological data analysis of contagion maps for examining spreading processes on networks. Nature Communications 6, 7723.
J Sun, D Taylor and EM Bollt (2015) Causal network inference by optimal causation entropy. SIAM Journal on Applied Dynamical Systems 14(1), 73-106.
PS Skardal, D Taylor and J Sun (2014) Optimal synchronization of complex networks. Physical Review Letters 113, 144101.