William D. Kalies

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 7

Top Topics

Nonlinear Dynamics

High Confidence

Learning Models

Top Venues

SIAM J. Appl. Dyn. Syst.

Int. J. Bifurc. Chaos

Found. Comput. Math.

Publications

Bogdan Batko, Marcio Gameiro, Ying Hung, William D. Kalies, Konstantin Mischaikow, Ewerton R. Vieira
Identifying Nonlinear Dynamics with High Confidence from Sparse Data. SIAM J. Appl. Dyn. Syst. 23 (1) (2024)
Mohammed Eslami, Hamed Eramian, Marcio Gameiro, William D. Kalies, Konstantin Mischaikow
Extracting Global Dynamics of Loss Landscape in Deep Learning Models. CoRR (2021)
William D. Kalies, Tomás Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka
Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities. SIAM J. Appl. Dyn. Syst. 20 (4) (2021)
Vincent Naudot, Shane Kepley, William D. Kalies
Complexity in a Hybrid van der Pol System. Int. J. Bifurc. Chaos 31 (13) (2021)
William D. Kalies, Shane Kepley, Jason D. Mireles-James
Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds. SIAM J. Appl. Dyn. Syst. 17 (1) (2018)
William D. Kalies, Dinesh Kasti, Robert C. A. M. Vandervorst
An Algorithmic Approach to Lattices and Order in Dynamics. SIAM J. Appl. Dyn. Syst. 17 (2) (2018)
William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst
Lattice Structures for Attractors II. Found. Comput. Math. 16 (5) (2016)
Sarah Day, William D. Kalies
Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth Nonlinearities. SIAM J. Numer. Anal. 51 (6) (2013)
Zin Arai, William D. Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka, Pawel Pilarczyk
A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems. SIAM J. Appl. Dyn. Syst. 8 (3) (2009)
Sarah Day, William D. Kalies, Thomas Wanner
Verified Homology Computations for Nodal Domains. Multiscale Model. Simul. 7 (4) (2009)
Marc Niethammer, William D. Kalies, Konstantin Mischaikow, Allen R. Tannenbaum
On the detection of simple points in higher dimensions using cubical homology. IEEE Trans. Image Process. 15 (8) (2006)
William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst
An Algorithmic Approach to Chain Recurrence. Found. Comput. Math. 5 (4) (2005)
Konstantin Mischaikow, Pawel Pilarczyk, William D. Kalies, Marc Niethammer, Andrew Stein, Allen R. Tannenbaum
Analysis of blood vessel topology by cubical homology. ICIP (2) (2002)