diffusion maps

Thiem, Thomas N., Mahdi Kooshkbaghi, Tom Bertalan, Carlo R. Laing, and IoannisG. Kevrekidis. 2020. “Emergent Spaces for Coupled Oscillators”. Front Comput Neurosci 14: 36. Publisher’s Version: Emergent Spaces for Coupled Oscillators.

Reference Link
Kemeth, Felix P., Sindre W. Haugland, Felix Dietrich, Tom Bertalan, Kevin Höhlein, Qianxiao Li, Erik M. Bollt, Ronen Talmon, Katharina Krischer, and IoannisG. Kevrekidis. 2018. “An Emergent Space for Distributed Data With Hidden Internal Order through Manifold Learning”. IEEE Access 6: 77402-13. Publisher’s Version: An Emergent Space for Distributed Data with Hidden Internal Order through Manifold Learning.

Reference Link
Sroczynski, David W., Or Yair, Ronen Talmon, and IoannisG. Kevrekidis. 2018. “Data-Driven Evolution Equation Reconstruction for Parameter-Dependent Nonlinear Dynamical Systems”. Isr. J. Chem. 58. Wiley-VCH Verlag GmbH & Co. KGaA: 787-94. Publisher’s Version: Data-driven Evolution Equation Reconstruction for Parameter-Dependent Nonlinear Dynamical Systems.

Reference Link
Holiday, Alexander, Mahdi Kooshkbaghi, Juan M. Bello-Rivas, C. William Gear, Antonios Zagaris, and IoannisG. Kevrekidis. 2019. “Manifold Learning for Parameter Reduction”. J Comput Phys 392: 419-31. Publisher’s Version: Manifold learning for parameter reduction.

Reference Link
Tsoumanis, Andreas, Karthikeyan Rajendran, Constantinos Siettos, and Ioannis Kevrekidis. (2012) 2012. “Coarse-Graining the Dynamics of Network Evolution: The Rise and Fall of a Networked Society”. New Journal of Physics 14: 083037.

Reference Link
Frewen, Thomas, Gerhard Hummer, and Ioannis Kevrekidis. (2009) 2009. “Exploration of Effective Potential Landscapes Using Coarse Reverse Integration”. Journal of Chemical Physics 131 (13): 134104.

Reference Link
Dsilva, Carmeline, Bomyi Lim, Hang Lu, Amit Singer, Ioannis Kevrekidis, and Stanislav Shvartsman. (2015) 2015. “Temporal Ordering and Registration of Images in Studies of Developmental Dynamics”. Development 142 (9): 1717-24.

Reference Link
Sonday, Benjamin, Amit Singer, and Ioannis Kevrekidis. (2013) 2013. “Noisy Dynamic Simulations in the Presence of Symmetry: Data Alignment and Model Reduction”. Computers & Mathematics With Applications 65 (10): 1535-57.

Reference Link
Dsilva, Carmeline, Ronen Talmon, Neta Rabin, Ronald Coifman, and Ioannis Kevrekidis. (2013) 2013. “Nonlinear Intrinsic Variables and State Reconstruction in Multiscale Simulations”. Journal of Chemical Physics 139 (18): 184109.

Reference Link
Zou, Yu, Vladimir Fonoberov, Maria Fonoberova, Igor Mezic, and Ioannis Kevrekidis. (2012) 2012. “Model Reduction for Agent-Based Social Simulation: Coarse-Graining a Civil Violence Model”. Physical Review E 85 (6): 066106.

Reference Link
Coifman, Kevrekidis, Lafon, Maggioni, and Nadler. 2008. “DIFFUSION MAPS, REDUCTION COORDINATES, AND LOW DIMENSIONAL REPRESENTATION OF STOCHASTIC SYSTEMS”. Multiscale Modeling & Simulation 7 (2): 842-64.

Reference Link
Kolpas, Allison, Jeff Moehlis, Thomas Frewen, and Ioannis Kevrekidis. (2008) 2008. “Coarse Analysis of Collective Motion With Different Communication Mechanisms”. Mathematical Biosciences 214 (1-2): 49-57.

Reference Link
Xue, Yuzhen, Peter Ludovice, Martha Grover, Lilia Nedialkova, Carmeline Dsilva, and Ioannis Kevrekidis. (2013) 2013. “State Reduction in Molecular Simulations”. Computers & Chemical Engineering 51: 102-10.

Reference Link
Zou, Yu, Paul Torrens, Roger Ghanem, and Ioannis Kevrekidis. 2012. “Accelerating Agent-Based Computation of Complex Urban Systems”. International Journal of Geographical Information Science 26 (10): 1917-37.

Reference Link