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Learning unknown ODE models with Gaussian processes

Learning unknown ODE models with Gaussian processes

12 March 2018
Markus Heinonen
Çağatay Yıldız
Henrik Mannerstrom
Jukka Intosalmi
Harri Lähdesmäki
ArXivPDFHTML

Papers citing "Learning unknown ODE models with Gaussian processes"

20 / 20 papers shown
Title
Physics-Informed Variational State-Space Gaussian Processes
Physics-Informed Variational State-Space Gaussian Processes
Oliver Hamelijnck
Arno Solin
Theodoros Damoulas
31
0
0
20 Sep 2024
Active Symbolic Discovery of Ordinary Differential Equations via Phase Portrait Sketching
Active Symbolic Discovery of Ordinary Differential Equations via Phase Portrait Sketching
Nan Jiang
Md Nasim
Yexiang Xue
42
0
0
02 Sep 2024
Machine Learning for Predicting Chaotic Systems
Machine Learning for Predicting Chaotic Systems
Christof Schötz
Alistair J R White
Maximilian Gelbrecht
Niklas Boers
AI4CE
41
4
0
29 Jul 2024
Exact Inference for Continuous-Time Gaussian Process Dynamics
Exact Inference for Continuous-Time Gaussian Process Dynamics
K. Ensinger
Nicholas Tagliapietra
Sebastian Ziesche
Sebastian Trimpe
29
1
0
05 Sep 2023
Learning Latent Dynamics via Invariant Decomposition and
  (Spatio-)Temporal Transformers
Learning Latent Dynamics via Invariant Decomposition and (Spatio-)Temporal Transformers
Kai Lagemann
C. Lagemann
Swarnava Mukherjee
46
2
0
21 Jun 2023
On the Identifiablility of Nonlocal Interaction Kernels in First-Order
  Systems of Interacting Particles on Riemannian Manifolds
On the Identifiablility of Nonlocal Interaction Kernels in First-Order Systems of Interacting Particles on Riemannian Manifolds
Sui Tang
Malik Tuerkoen
Hanming Zhou
35
4
0
21 May 2023
Free-Form Variational Inference for Gaussian Process State-Space Models
Free-Form Variational Inference for Gaussian Process State-Space Models
Xuhui Fan
Edwin V. Bonilla
T. O’Kane
Scott A. Sisson
16
9
0
20 Feb 2023
Learning nonparametric ordinary differential equations from noisy data
Learning nonparametric ordinary differential equations from noisy data
Kamel Lahouel
Michael L. Wells
Victor Rielly
Ethan Lew
David M Lovitz
Bruno Jedynak
31
5
0
30 Jun 2022
AutoIP: A United Framework to Integrate Physics into Gaussian Processes
AutoIP: A United Framework to Integrate Physics into Gaussian Processes
D. Long
Zihan Wang
Aditi S. Krishnapriyan
Robert M. Kirby
Shandian Zhe
Michael W. Mahoney
AI4CE
34
14
0
24 Feb 2022
Approximate Latent Force Model Inference
Approximate Latent Force Model Inference
Jacob Moss
Felix L. Opolka
Bianca Dumitrascu
Pietro Lio
49
3
0
24 Sep 2021
Incorporating Surprisingly Popular Algorithm and Euclidean
  Distance-based Adaptive Topology into PSO
Incorporating Surprisingly Popular Algorithm and Euclidean Distance-based Adaptive Topology into PSO
Xuan Wu
Jizong Han
Dian Wang
Pengyue Gao
Quanlong Cui
...
Han Huang
Heow Pueh Lee
Chunyan Miao
You Zhou
Chunguo Wu
16
34
0
25 Aug 2021
Variational multiple shooting for Bayesian ODEs with Gaussian processes
Variational multiple shooting for Bayesian ODEs with Gaussian processes
Pashupati Hegde
Çağatay Yıldız
Harri Lähdesmäki
Samuel Kaski
Markus Heinonen
30
16
0
21 Jun 2021
Learning particle swarming models from data with Gaussian processes
Learning particle swarming models from data with Gaussian processes
Jinchao Feng
Charles Kulick
Yunxiang Ren
Sui Tang
26
5
0
04 Jun 2021
Neural graphical modelling in continuous-time: consistency guarantees
  and algorithms
Neural graphical modelling in continuous-time: consistency guarantees and algorithms
Alexis Bellot
K. Branson
M. Schaar
CML
AI4TS
24
44
0
06 May 2021
Gaussian processes meet NeuralODEs: A Bayesian framework for learning
  the dynamics of partially observed systems from scarce and noisy data
Gaussian processes meet NeuralODEs: A Bayesian framework for learning the dynamics of partially observed systems from scarce and noisy data
Mohamed Aziz Bhouri
P. Perdikaris
28
20
0
04 Mar 2021
Learning ODE Models with Qualitative Structure Using Gaussian Processes
Learning ODE Models with Qualitative Structure Using Gaussian Processes
Steffen Ridderbusch
Christian Offen
Sina Ober-Blobaum
Paul Goulart
6
15
0
10 Nov 2020
Macroscopic Traffic Flow Modeling with Physics Regularized Gaussian
  Process: A New Insight into Machine Learning Applications
Macroscopic Traffic Flow Modeling with Physics Regularized Gaussian Process: A New Insight into Machine Learning Applications
Yun Yuan
X. Yang
Zhao Zhang
Shandian Zhe
AI4CE
34
95
0
06 Feb 2020
Scalable Gradients for Stochastic Differential Equations
Scalable Gradients for Stochastic Differential Equations
Xuechen Li
Ting-Kam Leonard Wong
Ricky T. Q. Chen
David Duvenaud
17
310
0
05 Jan 2020
Black-Box Inference for Non-Linear Latent Force Models
Black-Box Inference for Non-Linear Latent Force Models
W. Ward
Tom Ryder
D. Prangle
Mauricio A. Alvarez
DRL
18
14
0
21 Jun 2019
ODE$^2$VAE: Deep generative second order ODEs with Bayesian neural
  networks
ODE2^22VAE: Deep generative second order ODEs with Bayesian neural networks
Çağatay Yıldız
Markus Heinonen
Harri Lähdesmäki
BDL
DRL
21
88
0
27 May 2019
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