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ORCIDErik M. Bollt
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2020 – today
- 2024
[i30]Adam Giammarese, Kamal Rana, Erik M. Bollt, Nishant Malik:
Tree-based Learning for High-Fidelity Prediction of Chaos. CoRR abs/2403.13836 (2024)- [i29]David W. Sroczynski, Felix Dietrich, Eleni D. Koronaki, Ronen Talmon, Ronald R. Coifman, Erik M. Bollt, Ioannis G. Kevrekidis:
On Learning what to Learn: heterogeneous observations of dynamics and establishing (possibly causal) relations among them. CoRR abs/2406.06812 (2024) - [i28]Mohammadamin Moradi, Shirin Panahi, Erik M. Bollt, Ying-Cheng Lai:
Data-driven model discovery with Kolmogorov-Arnold networks. CoRR abs/2409.15167 (2024) - [i27]Mohammadamin Moradi, Shirin Panahi, Erik M. Bollt, Ying-Cheng Lai:
Kolmogorov-Arnold Network Autoencoders. CoRR abs/2410.02077 (2024) - 2023
- [i26]Neranjaka Jayarathne, Erik M. Bollt:
Autoencoding for the 'Good Dictionary' of eigen pairs of the Koopman Operator. CoRR abs/2306.05224 (2023) - 2022
- [j42]Jeremie Fish
, Jie Sun, Erik M. Bollt:
Interaction networks from discrete event data by Poisson multivariate mutual information estimation and information flow with applications from gene expression data. Appl. Netw. Sci. 7(1): 70 (2022) - [j41]Jie Sun, Fernando J. Quevedo, Erik M. Bollt:
Data fusion reconstruction of spatially embedded complex networks. J. Complex Networks 10(4) (2022) - [j40]Jie Sun, Abd AlRahman R. AlMomani, Erik M. Bollt:
Data-driven learning of Boolean networks and functions by optimal causation entropy principle. Patterns 3(11): 100631 (2022) - [j39]K. G. D. Sulalitha Priyankara, Sanjeeva Balasuriya, Erik M. Bollt:
Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows. SIAM J. Appl. Dyn. Syst. 21(4): 2642-2696 (2022) - [i25]Yonggi Park, Kelum Gajamannage, Dilhani I. Jayathilake, Erik M. Bollt:
Recurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling. CoRR abs/2202.07022 (2022) - [i24]Jeremie Fish, Mahesh Banavar, Erik M. Bollt:
How fragile is your network? More than you think. CoRR abs/2203.13943 (2022) - [i23]Sudam Surasinghe, Jeremie Fish, Erik M. Bollt:
Learning Transfer Operators by Kernel Density Estimation. CoRR abs/2210.03124 (2022) - 2021
- [j38]Erik M. Bollt:
Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: Cardinality, "primary eigenfunction, " and efficient representation. Commun. Nonlinear Sci. Numer. Simul. 100: 105833 (2021) - [i22]Daniel J. Gauthier, Erik M. Bollt, Aaron Griffith, Wendson A. S. Barbosa:
Next Generation Reservoir Computing. CoRR abs/2106.07688 (2021) - [i21]Sudam Surasinghe, Erik M. Bollt:
Randomized Projection Learning Method forDynamic Mode Decomposition. CoRR abs/2110.01718 (2021) - 2020
- [j37]Sudam Surasinghe, Erik M. Bollt:
On Geometry of Information Flow for Causal Inference. Entropy 22(4): 396 (2020) - [j36]Abd AlRahman R. AlMomani, Erik M. Bollt:
Go With the Flow, on Jupiter and Snow. Coherence from Model-Free Video Data Without Trajectories. J. Nonlinear Sci. 30(5): 2375-2404 (2020) - [j35]Sarbendu Rakshit, Bidesh K. Bera, Erik M. Bollt, Dibakar Ghosh:
Intralayer Synchronization in Evolving Multiplex Hypernetworks: Analytical Approach. SIAM J. Appl. Dyn. Syst. 19(2): 918-963 (2020) - [i20]Sudam Surasinghe, Erik M. Bollt:
On Geometry of Information Flow for Causal Inference. CoRR abs/2002.02078 (2020) - [i19]Abd AlRahman R. AlMomani, Erik M. Bollt:
Informative Ranking of Stand Out Collections of Symptoms: A New Data-Driven Approach to Identify the Strong Warning Signs of COVID 19. CoRR abs/2004.08897 (2020) - [i18]Abd AlRahman R. AlMomani, Erik M. Bollt:
An Early Warning Sign of Critical Transition in The Antarctic Ice Sheet. A New Data Driven Tool for Spatiotemporal Tipping Point. CoRR abs/2004.09724 (2020) - [i17]Jie Sun, Abd AlRahman R. AlMomani, Erik M. Bollt:
Data-Driven Learning of Boolean Networks and Functions by Optimal Causation Entropy Principle (BoCSE). CoRR abs/2006.01023 (2020) - [i16]Abd AlRahman R. AlMomani, Erik M. Bollt:
ERFit: Entropic Regression Fit Matlab Package, for Data-Driven System Identification of Underlying Dynamic Equations. CoRR abs/2010.02411 (2020)
2010 – 2019
- 2019
- [j34]James P. Bagrow, Erik M. Bollt:
An information-theoretic, all-scales approach to comparing networks. Appl. Netw. Sci. 4(1): 45:1-45:15 (2019) - [j33]Kelum Gajamannage, Randy C. Paffenroth, Erik M. Bollt:
A nonlinear dimensionality reduction framework using smooth geodesics. Pattern Recognit. 87: 226-236 (2019) - [i15]Abd AlRahman R. AlMomani, Jie Sun, Erik M. Bollt:
How Entropic Regression Beats the Outliers Problem in Nonlinear System Identification. CoRR abs/1905.08061 (2019) - [i14]Erik M. Bollt:
Geometric Considerations of a Good Dictionary for Koopman Analysis of Dynamical Systems. CoRR abs/1912.09570 (2019) - 2018
- [j32]Felix P. Kemeth, Sindre W. Haugland, Felix Dietrich, Tom Bertalan, Kevin Höhlein, Qianxiao Li, Erik M. Bollt, Ronen Talmon, Katharina Krischer, Ioannis G. Kevrekidis:
An Emergent Space for Distributed Data With Hidden Internal Order Through Manifold Learning. IEEE Access 6: 77402-77413 (2018) - [j31]Erik M. Bollt, Qianxiao Li, Felix Dietrich, Ioannis G. Kevrekidis:
On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions. SIAM J. Appl. Dyn. Syst. 17(2): 1925-1960 (2018) - [i13]Joshua Garland, Andrew M. Berdahl, Jie Sun, Erik M. Bollt:
The Anatomy of Leadership in Collective Behaviour. CoRR abs/1802.01194 (2018) - [i12]James P. Bagrow, Erik M. Bollt:
An information-theoretic, all-scales approach to comparing networks. CoRR abs/1804.03665 (2018) - 2017
- [j30]K. G. D. Sulalitha Priyankara, Sanjeeva Balasuriya, Erik M. Bollt:
Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre. Int. J. Bifurc. Chaos 27(10): 1750156:1-1750156:19 (2017) - [i11]Kelum Gajamannage, Randy C. Paffenroth, Erik M. Bollt:
A Nonlinear Dimensionality Reduction Framework Using Smooth Geodesics. CoRR abs/1707.06757 (2017) - [i10]Warren M. Lord, Jie Sun, Erik M. Bollt:
Geometric k-nearest neighbor estimation of entropy and mutual information. CoRR abs/1711.00748 (2017) - 2016
- [j29]Warren M. Lord, Jie Sun, Nicholas T. Ouellette, Erik M. Bollt:
Inference of Causal Information Flow in Collective Animal Behavior. IEEE Trans. Mol. Biol. Multi Scale Commun. 2(1): 107-116 (2016) - [i9]Warren M. Lord, Jie Sun, Nicholas T. Ouellette, Erik M. Bollt:
Inference of Causal Information Flow in Collective Animal Behavior. CoRR abs/1606.01932 (2016) - [i8]Kelum Gajamannage, Erik M. Bollt, Mason A. Porter, Marian S. Dawkins:
Modeling the lowest-cost splitting of a herd of cows by optimizing a cost function. CoRR abs/1609.03923 (2016) - [i7]Jie Sun, Erik M. Bollt:
Statistical Inverse Formulation of Optical Flow with Uncertainty Quantification. CoRR abs/1611.01230 (2016) - 2015
- [j28]Erik M. Bollt, Joseph D. Skufca:
A Low-Dimensional Principal Manifold as the "Attractor Backbone" of a Chaotic Beam System. Int. J. Bifurc. Chaos 25(3): 1550037:1-1550037:14 (2015) - [j27]Tian Ma, Erik M. Bollt:
Shape Coherence and Finite-Time Curvature Evolution. Int. J. Bifurc. Chaos 25(5): 1550076:1-1550076:10 (2015) - [j26]Jie Sun, Dane Taylor, Erik M. Bollt:
Causal Network Inference by Optimal Causation Entropy. SIAM J. Appl. Dyn. Syst. 14(1): 73-106 (2015) - [i6]Kelum Gajamannage, Sachit Butail, Maurizio Porfiri, Erik M. Bollt:
Identifying manifolds underlying group motion in Vicsek agents. CoRR abs/1508.02809 (2015) - [i5]Kelum Gajamannage, Sachit Butail, Maurizio Porfiri, Erik M. Bollt:
Dimensionality Reduction of Collective Motion by Principal Manifolds. CoRR abs/1508.03332 (2015) - [i4]Kelum Gajamannage, Erik M. Bollt:
Detecting phase transitions in collective behavior using manifold's curvature. CoRR abs/1509.07078 (2015) - 2014
- [j25]Jie Sun, Carlo Cafaro, Erik M. Bollt:
Identifying the Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle. Entropy 16(6): 3416-3433 (2014) - [j24]Erik M. Bollt, Jie Sun:
Editorial Comment on the Special Issue of "Information in Dynamical Systems and Complex Systems". Entropy 16(9): 5068-5077 (2014) - [j23]Tian Ma, Erik M. Bollt:
Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting. SIAM J. Appl. Dyn. Syst. 13(3): 1106-1136 (2014) - [j22]Tian Ma, Erik M. Bollt:
Erratum: Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting. SIAM J. Appl. Dyn. Syst. 13(4): 1916 (2014) - [i3]Jie Sun, Dane Taylor, Erik M. Bollt:
Causal Network Inference by Optimal Causation Entropy. CoRR abs/1401.7574 (2014) - [i2]Jie Sun, Carlo Cafaro, Erik M. Bollt:
Identifying Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle. CoRR abs/1411.5350 (2014) - 2013
- [b1]Erik M. Bollt, Naratip Santitissadeekorn:
Applied and Computational Measurable Dynamics. Mathematical modeling and computation 18, SIAM 2013, ISBN 978-1-61197-263-4, pp. I-XIII, 1-368 - [j21]Tian Ma, Erik M. Bollt:
Relatively Coherent Sets as a Hierarchical Partition Method. Int. J. Bifurc. Chaos 23(7) (2013) - [j20]Jiongxuan Zheng, Joseph D. Skufca, Erik M. Bollt:
The Bundle Plot: Evolution of Symbolic Space under the System parameter Changes. Int. J. Bifurc. Chaos 23(8) (2013) - 2012
- [j19]Erik M. Bollt, Aaron Luttman, Sean Kramer, Ranil Basnayake:
Measurable Dynamics Analysis of Transport in the Gulf of Mexico during the Oil Spill. Int. J. Bifurc. Chaos 22(3) (2012) - [j18]Erik M. Bollt:
Synchronization as a Process of Sharing and Transferring Information. Int. J. Bifurc. Chaos 22(11) (2012) - 2010
- [c6]Joseph D. Skufca, Erik M. Bollt, Rakesh Pilkar, Charles J. Robinson:
Eigenposes: Using principal components to describe body configuration for analysis of postural control dynamics. IJCNN 2010: 1-3
2000 – 2009
- 2009
- [j17]Erik M. Bollt, Rick Chartrand, Selim Esedoglu, Pete Schultz, Kevin R. Vixie:
Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion. Adv. Comput. Math. 31(1-3): 61-85 (2009) - [j16]Naratip Santitissadeekorn, Erik M. Bollt:
Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method. Comput. Methods Appl. Math. 9(3): 309-318 (2009) - [j15]Naratip Santitissadeekorn, Douglas Bohl, Erik M. Bollt:
Analysis and Modeling of an Experimental Device by Finite-Time Lyapunov Exponent Method. Int. J. Bifurc. Chaos 19(3): 993-1006 (2009) - [j14]Jie Sun, Erik M. Bollt, Takashi Nishikawa:
Constructing Generalized Synchronization Manifolds by Manifold Equation. SIAM J. Appl. Dyn. Syst. 8(1): 202-221 (2009) - [j13]Robert J. Schilling, Erik M. Bollt, George D. Fulk, Joseph D. Skufca, Ahmad F. Al-Ajlouni, Charles J. Robinson:
A Quiet Standing Index for Testing the Postural Sway of Healthy and Diabetic Adults Across a Range of Ages. IEEE Trans. Biomed. Eng. 56(2): 292-302 (2009) - [c5]Jie Sun, Erik M. Bollt, Takashi Nishikawa:
Synchronization Stability of Coupled Near-Identical Oscillator Network. Complex (1) 2009: 900-911 - 2008
- [j12]Erik M. Bollt, Pawel Góra, Andrzej Ostruszka, Karol Zyczkowski:
Basis Markov Partitions and Transition Matrices for Stochastic Systems. SIAM J. Appl. Dyn. Syst. 7(2): 341-360 (2008) - [j11]Maurizio Porfiri, Daniel J. Stilwell, Erik M. Bollt:
Synchronization in Random Weighted Directed Networks. IEEE Trans. Circuits Syst. I Regul. Pap. 55-I(10): 3170-3177 (2008) - 2007
- [j10]Erik M. Bollt:
Attractor Modeling and Empirical Nonlinear Model Reduction of dissipative Dynamical Systems. Int. J. Bifurc. Chaos 17(4): 1199-1219 (2007) - [c4]Maurizio Porfiri, Daniel J. Stilwell, Erik M. Bollt, Joseph D. Skufca:
Stochastic synchronization over a moving neighborhood network. ACC 2007: 1413-1418 - [c3]Maurizio Porfiri, Daniel J. Stilwell, Erik M. Bollt:
Stochastic synchronization over weighted directed networks. ACC 2007: 2387-2392 - 2006
- [j9]Christina Rubillo, Piergiovanni Marzocca, Erik M. Bollt:
Active Aeroelastic Control of Lifting Surfaces via Jet Reaction Limiter Control. Int. J. Bifurc. Chaos 16(9): 2559-2574 (2006) - [j8]Daniel J. Stilwell, Erik M. Bollt, D. Gray Roberson:
Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies. SIAM J. Appl. Dyn. Syst. 5(1): 140-156 (2006) - [c2]Daniel J. Stilwell, Erik M. Bollt, D. Gray Roberson:
Synchronization of time-varying networks under fast switching. ACC 2006: 1-6 - [i1]Luciano da Fontoura Costa, Erik M. Bollt:
A Fast and Accurate Nonlinear Spectral Method for Image Recognition and Registration. CoRR abs/cs/0604094 (2006) - 2005
- [j7]Erik M. Bollt:
The Path towards a Longer Life: on Invariant Sets and the Escape Time Landscape. Int. J. Bifurc. Chaos 15(5): 1615-1624 (2005) - 2004
- [j6]Daniel ben-Avraham, Erik M. Bollt, Christino Tamon:
One-Dimensional Continuous-Time Quantum Walks. Quantum Inf. Process. 3(1-5): 295-308 (2004) - 2003
- [j5]Erik M. Bollt:
Review of Chaos Communication by Feedback Control of Symbolic Dynamics. Int. J. Bifurc. Chaos 13(2): 269-285 (2003) - 2002
- [j4]Erik M. Bollt, Aaron Klebanoff:
A New and Simple Chaos Toy. Int. J. Bifurc. Chaos 12(8): 1843-1857 (2002) - 2001
- [j3]Erik M. Bollt:
Combinatorial Control of Global Dynamics in a Chaotic differential equation. Int. J. Bifurc. Chaos 11(8): 2145-2162 (2001) - 2000
- [j2]Erik M. Bollt:
Controlling Chaos and the Inverse Frobenius-Perron Problem: Global stabilization of Arbitrary Invariant Measures. Int. J. Bifurc. Chaos 10(5): 1033-1050 (2000) - [j1]Erik M. Bollt:
Model Selection, confidence and Scaling in Predicting Chaotic Time-Series. Int. J. Bifurc. Chaos 10(6): 1407-1422 (2000) - [c1]Erik M. Bollt:
Controlling invariant density: an l∞ solution to the inverse Frobenius-Perron problem. ISCAS 2000: 112-115
Coauthor Index
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last updated on 2024-11-11 22:22 CET by the dblp team
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