Erik M. Bollt

1. Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator
   2017/10/01 by Qianxiao Li, Felix Dietrich, Erik M. Bollt +1 · 22 citations
   Engineering · Physics and Astronomy · #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks #Nuclear Engineering Thermal-Hydraulics
2. A mathematical model for the dynamics and synchronization of cows
   2010/05/09 by Jie Sun, Erik M. Bollt, Mason A. Porter +2 · 1 voice · 2 citations
   Computer Science · Biochemistry, Genetics and Molecular Biology · #Nonlinear Dynamics and Pattern Formation #Gene Regulatory Network Analysis #Neural Networks Stability and Synchronization
3. Geometric Considerations of a Good Dictionary for Koopman Analysis of\n Dynamical Systems: Cardinality, 'Primary Eigenfunction,' and Efficient\n Representation
   2019/12/18 by Erik M. Bollt, Bollt, Erik · 1 citation
   Physics and Astronomy · Computer Science · #Model Reduction and Neural Networks #Computational Physics and Python Applications
4. Machine Learning Enhanced Hankel Dynamic-Mode Decomposition
   2023/03/11 by Christopher W. Curtis, Curtis, Christopher W., D. Jay Alford-Lago +5 · 1 citation
   Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Computer and information sciences #FOS: Physical sciences #Fault Detection and Control Systems #Gamma-ray bursts and supernovae #Machine Fault Diagnosis Techniques #Machine Learning (cs.LG)
5. Kolmogorov-Arnold Network Autoencoders
   2024/10/02 by Mohammadamin Moradi, Shirin Panahi, Moradi, Mohammadamin +5 · 2 citations
   Computer Science · #Artificial Intelligence (cs.AI) #Cognitive Computing and Networks #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Neural Networks and Applications
6. On the emergence of numerical instabilities in Next Generation Reservoir Computing
   2025/05/01 by Edmilson Roque dos Santos, Santos, Edmilson Roque dos, Erik M. Bollt +1 · 3 citations
   Computer Science · Physics and Astronomy · #37M10 #62M10 #65F22 #Data Analysis #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications #Neural Networks and Reservoir Computing #Statistics and Probability (physics.data-an)
7. On Learning what to Learn: heterogeneous observations of dynamics and establishing (possibly causal) relations among them
   2024/06/10 by David W. Sroczynski, Sroczynski, David W., Felix Dietrich +11 · 1 citation
   Arts and Humanities · Decision Sciences · #Complex Systems and Decision Making #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Philosophy and History of Science
8. Fractal Basins as a Mechanism for the Nimble Brain
   2023/10/31 by Erik M. Bollt, Bollt, Erik, Jeremie Fish +7 · 1 citation
   Economics, Econometrics and Finance · Medicine · Neuroscience · #34C28 #37N25 #92B20 #92B25 #Advanced Neuroimaging Techniques and Applications #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC)
9. Symmetry breaker governs synchrony patterns in neuronal inspired networks
   2024/03/24 by Anil Kumar, Kumar, Anil, Edmilson Roque dos Santos +5 · 1 citation
   Neuroscience · Engineering · #Neural dynamics and brain function #Advanced Memory and Neural Computing #Photoreceptor and optogenetics research