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Stable Implementation of Probabilistic ODE Solvers

Stable Implementation of Probabilistic ODE Solvers

Journal of machine learning research (JMLR), 2020
18 December 2020
Nicholas Kramer
Philipp Hennig
ArXiv (abs)PDFHTML

Papers citing "Stable Implementation of Probabilistic ODE Solvers"

15 / 15 papers shown
Scalable h-adaptive probabilistic solver for time-independent and time-dependent systems
Scalable h-adaptive probabilistic solver for time-independent and time-dependent systems
A. Thakur
Sawan Kumar
Matthew J. Zahr
S. Chakraborty
AI4CE
161
0
0
13 Aug 2025
Numerically robust Gaussian state estimation with singular observation noise
Numerically robust Gaussian state estimation with singular observation noise
Nicholas Krämer
Filip Tronarp
270
0
0
13 Mar 2025
Adaptive Probabilistic ODE Solvers Without Adaptive Memory Requirements
Adaptive Probabilistic ODE Solvers Without Adaptive Memory Requirements
Nicholas Krämer
468
0
0
14 Oct 2024
Numerically Robust Fixed-Point Smoothing Without State Augmentation
Numerically Robust Fixed-Point Smoothing Without State Augmentation
Nicholas Krämer
354
3
0
30 Sep 2024
Physics-Informed Variational State-Space Gaussian Processes
Physics-Informed Variational State-Space Gaussian ProcessesNeural Information Processing Systems (NeurIPS), 2024
Oliver Hamelijnck
Arno Solin
Theodoros Damoulas
337
7
0
20 Sep 2024
Diffusion Tempering Improves Parameter Estimation with Probabilistic
  Integrators for Ordinary Differential Equations
Diffusion Tempering Improves Parameter Estimation with Probabilistic Integrators for Ordinary Differential Equations
Jonas Beck
Nathanael Bosch
Michael Deistler
Kyra L. Kadhim
Jakob H. Macke
Philipp Hennig
Philipp Berens
DiffM
487
5
0
19 Feb 2024
Parallel-in-Time Probabilistic Numerical ODE Solvers
Parallel-in-Time Probabilistic Numerical ODE SolversJournal of machine learning research (JMLR), 2023
Nathanael Bosch
Adrien Corenflos
F. Yaghoobi
Filip Tronarp
Philipp Hennig
Simo Särkkä
227
6
0
02 Oct 2023
Data-Adaptive Probabilistic Likelihood Approximation for Ordinary
  Differential Equations
Data-Adaptive Probabilistic Likelihood Approximation for Ordinary Differential EquationsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Mohan Wu
Martin Lysy
388
5
0
08 Jun 2023
Probabilistic Exponential Integrators
Probabilistic Exponential IntegratorsNeural Information Processing Systems (NeurIPS), 2023
Nathanael Bosch
Philipp Hennig
Filip Tronarp
368
6
0
24 May 2023
Fenrir: Physics-Enhanced Regression for Initial Value Problems
Fenrir: Physics-Enhanced Regression for Initial Value ProblemsInternational Conference on Machine Learning (ICML), 2022
Filip Tronarp
Nathanael Bosch
Philipp Hennig
358
16
0
02 Feb 2022
Probabilistic Numerical Method of Lines for Time-Dependent Partial
  Differential Equations
Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential EquationsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Nicholas Kramer
Jonathan Schmidt
Philipp Hennig
341
20
0
22 Oct 2021
Probabilistic ODE Solutions in Millions of Dimensions
Probabilistic ODE Solutions in Millions of DimensionsInternational Conference on Machine Learning (ICML), 2021
Nicholas Kramer
Nathanael Bosch
Jonathan Schmidt
Philipp Hennig
182
20
0
22 Oct 2021
Pick-and-Mix Information Operators for Probabilistic ODE Solvers
Pick-and-Mix Information Operators for Probabilistic ODE SolversInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Nathanael Bosch
Filip Tronarp
Philipp Hennig
244
11
0
20 Oct 2021
Hida-Matérn Kernel
Hida-Matérn Kernel
Matthew Dowling
Piotr Sokól
I. Park
BDL
293
5
0
15 Jul 2021
Linear-Time Probabilistic Solutions of Boundary Value Problems
Linear-Time Probabilistic Solutions of Boundary Value Problems
Nicholas Kramer
Philipp Hennig
334
1
0
14 Jun 2021
1
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