Erik M. Bollt

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 26

Top Topics

Dimensionality Reduction

Complex Systems

Laplacian Eigenmaps

Information Flow

Top Venues

SIAM J. Appl. Dyn. Syst.

Int. J. Bifurc. Chaos

Publications

Adam Giammarese, Kamal Rana, Erik M. Bollt, Nishant Malik
Tree-based Learning for High-Fidelity Prediction of Chaos. CoRR (2024)
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 (2024)
Neranjaka Jayarathne, Erik M. Bollt
Autoencoding for the 'Good Dictionary' of eigen pairs of the Koopman Operator. CoRR (2023)
Jie Sun, Fernando J. Quevedo, Erik M. Bollt
Data fusion reconstruction of spatially embedded complex networks. J. Complex Networks 10 (4) (2022)
Jeremie Fish, Mahesh Banavar, Erik M. Bollt
How fragile is your network? More than you think. CoRR (2022)
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) (2022)
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) (2022)
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) (2022)
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 (2022)
Sudam Surasinghe, Jeremie Fish, Erik M. Bollt
Learning Transfer Operators by Kernel Density Estimation. CoRR (2022)
Sudam Surasinghe, Erik M. Bollt
Randomized Projection Learning Method forDynamic Mode Decomposition. CoRR (2021)
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 (2021)
Sudam Surasinghe, Erik M. Bollt
On Geometry of Information Flow for Causal Inference. CoRR (2020)
Sudam Surasinghe, Erik M. Bollt
On Geometry of Information Flow for Causal Inference. Entropy 22 (4) (2020)
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) (2020)
Kelum Gajamannage, Randy C. Paffenroth, Erik M. Bollt
A nonlinear dimensionality reduction framework using smooth geodesics. Pattern Recognit. 87 (2019)
James P. Bagrow, Erik M. Bollt
An information-theoretic, all-scales approach to comparing networks. Appl. Netw. Sci. 4 (1) (2019)
James P. Bagrow, Erik M. Bollt
An information-theoretic, all-scales approach to comparing networks. CoRR (2018)
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) (2018)
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 (2018)
Warren M. Lord, Jie Sun, Erik M. Bollt
Geometric k-nearest neighbor estimation of entropy and mutual information. CoRR (2017)
Kelum Gajamannage, Randy C. Paffenroth, Erik M. Bollt
A Nonlinear Dimensionality Reduction Framework Using Smooth Geodesics. CoRR (2017)
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) (2016)
Jie Sun, Erik M. Bollt
Statistical Inverse Formulation of Optical Flow with Uncertainty Quantification. CoRR (2016)
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 (2016)
Warren M. Lord, Jie Sun, Nicholas T. Ouellette, Erik M. Bollt
Inference of Causal Information Flow in Collective Animal Behavior. CoRR (2016)
Jie Sun, Dane Taylor, Erik M. Bollt
Causal Network Inference by Optimal Causation Entropy. SIAM J. Appl. Dyn. Syst. 14 (1) (2015)
Kelum Gajamannage, Sachit Butail, Maurizio Porfiri, Erik M. Bollt
Identifying manifolds underlying group motion in Vicsek agents. CoRR (2015)
Kelum Gajamannage, Erik M. Bollt
Detecting phase transitions in collective behavior using manifold's curvature. CoRR (2015)
Tian Ma, Erik M. Bollt
Shape Coherence and Finite-Time Curvature Evolution. Int. J. Bifurc. Chaos 25 (5) (2015)
Kelum Gajamannage, Sachit Butail, Maurizio Porfiri, Erik M. Bollt
Dimensionality Reduction of Collective Motion by Principal Manifolds. CoRR (2015)
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) (2015)
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) (2014)
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) (2014)
Jie Sun, Carlo Cafaro, Erik M. Bollt
Identifying Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle. CoRR (2014)
Erik M. Bollt, Jie Sun
Editorial Comment on the Special Issue of "Information in Dynamical Systems and Complex Systems". Entropy 16 (9) (2014)
Jie Sun, Carlo Cafaro, Erik M. Bollt
Identifying the Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle. Entropy 16 (6) (2014)
Jie Sun, Dane Taylor, Erik M. Bollt
Causal Network Inference by Optimal Causation Entropy. CoRR (2014)
Tian Ma, Erik M. Bollt
Relatively Coherent Sets as a Hierarchical Partition Method. Int. J. Bifurc. Chaos 23 (7) (2013)
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)
Erik M. Bollt
Synchronization as a Process of Sharing and Transferring Information. Int. J. Bifurc. Chaos 22 (11) (2012)
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)
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)
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) (2009)
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) (2009)
Jie Sun, Erik M. Bollt, Takashi Nishikawa
Synchronization Stability of Coupled Near-Identical Oscillator Network. Complex (1) (2009)
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) (2009)
Jie Sun, Erik M. Bollt, Takashi Nishikawa
Constructing Generalized Synchronization Manifolds by Manifold Equation. SIAM J. Appl. Dyn. Syst. 8 (1) (2009)
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) (2009)
Maurizio Porfiri, Daniel J. Stilwell, Erik M. Bollt
Synchronization in Random Weighted Directed Networks. IEEE Trans. Circuits Syst. I Regul. Pap. (10) (2008)
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) (2008)
Erik M. Bollt
Attractor Modeling and Empirical Nonlinear Model Reduction of dissipative Dynamical Systems. Int. J. Bifurc. Chaos 17 (4) (2007)
Maurizio Porfiri, Daniel J. Stilwell, Erik M. Bollt, Joseph D. Skufca
Stochastic synchronization over a moving neighborhood network. ACC (2007)
Maurizio Porfiri, Daniel J. Stilwell, Erik M. Bollt
Stochastic synchronization over weighted directed networks. ACC (2007)
Christina Rubillo, Piergiovanni Marzocca, Erik M. Bollt
Active Aeroelastic Control of Lifting Surfaces via Jet Reaction Limiter Control. Int. J. Bifurc. Chaos 16 (9) (2006)
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) (2006)
Luciano da Fontoura Costa, Erik M. Bollt
A Fast and Accurate Nonlinear Spectral Method for Image Recognition and Registration CoRR (2006)
Daniel J. Stilwell, Erik M. Bollt, D. Gray Roberson
Synchronization of time-varying networks under fast switching. ACC (2006)
Erik M. Bollt
The Path towards a Longer Life: on Invariant Sets and the Escape Time Landscape. Int. J. Bifurc. Chaos 15 (5) (2005)
Daniel ben-Avraham, Erik M. Bollt, Christino Tamon
One-Dimensional Continuous-Time Quantum Walks. Quantum Inf. Process. 3 (1-5) (2004)
Erik M. Bollt
Review of Chaos Communication by Feedback Control of Symbolic Dynamics. Int. J. Bifurc. Chaos 13 (2) (2003)
Erik M. Bollt, Aaron Klebanoff
A New and Simple Chaos Toy. Int. J. Bifurc. Chaos 12 (8) (2002)
Erik M. Bollt
Combinatorial Control of Global Dynamics in a Chaotic differential equation. Int. J. Bifurc. Chaos 11 (8) (2001)
Erik M. Bollt
Controlling Chaos and the Inverse Frobenius-Perron Problem: Global stabilization of Arbitrary Invariant Measures. Int. J. Bifurc. Chaos 10 (5) (2000)
Erik M. Bollt
solution to the inverse Frobenius-Perron problem. ISCAS (2000)
Erik M. Bollt
Model Selection, confidence and Scaling in Predicting Chaotic Time-Series. Int. J. Bifurc. Chaos 10 (6) (2000)