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DiffEqFlux.jl - A Julia Library for Neural Differential Equations

DiffEqFlux.jl - A Julia Library for Neural Differential Equations

6 February 2019
Christopher Rackauckas
Mike Innes
Yingbo Ma
J. Bettencourt
Lyndon White
Vaibhav Dixit
ArXivPDFHTML

Papers citing "DiffEqFlux.jl - A Julia Library for Neural Differential Equations"

49 / 49 papers shown
Title
A comparative study of NeuralODE and Universal ODE approaches to solving
  Chandrasekhar White Dwarf equation
A comparative study of NeuralODE and Universal ODE approaches to solving Chandrasekhar White Dwarf equation
Raymundo Vazquez Martinez
Raj Abhijit Dandekar
Rajat Dandekar
Sreedath Panat
29
0
0
19 Oct 2024
Modeling chaotic Lorenz ODE System using Scientific Machine Learning
Modeling chaotic Lorenz ODE System using Scientific Machine Learning
Sameera S Kashyap
Raj Abhijit Dandekar
Rajat Dandekar
Sreedath Panat
AI4Cl
AI4CE
29
0
0
09 Oct 2024
Graph Neural Ordinary Differential Equations for Coarse-Grained
  Socioeconomic Dynamics
Graph Neural Ordinary Differential Equations for Coarse-Grained Socioeconomic Dynamics
James Koch
Pranab Roy Chowdhury
Heng Wan
Parin Bhaduri
Jim Yoon
Vivek Srikrishnan
W. B. Daniel
24
0
0
25 Jul 2024
Gradients of Functions of Large Matrices
Gradients of Functions of Large Matrices
Nicholas Krämer
Pablo Moreno-Muñoz
Hrittik Roy
Søren Hauberg
40
0
0
27 May 2024
Physics-Informed Neural Networks for Satellite State Estimation
Physics-Informed Neural Networks for Satellite State Estimation
J. Varey
Jessica D. Ruprecht
Michael Tierney
Ryan Sullenberger
30
0
0
28 Mar 2024
A Deep Neural Network -- Mechanistic Hybrid Model to Predict
  Pharmacokinetics in Rat
A Deep Neural Network -- Mechanistic Hybrid Model to Predict Pharmacokinetics in Rat
Florian Führer
Andrea Gruber
Holger Diedam
A. Göller
Stephan Menz
S. Schneckener
28
3
0
13 Oct 2023
Effective Latent Differential Equation Models via Attention and Multiple
  Shooting
Effective Latent Differential Equation Models via Attention and Multiple Shooting
German Abrevaya
Mahta Ramezanian-Panahi
Jean-Christophe Gagnon-Audet
Pablo Polosecki
Irina Rish
S. Dawson
Guillermo Cecchi
G. Dumas
MedIm
26
1
0
11 Jul 2023
Locally Regularized Neural Differential Equations: Some Black Boxes Were
  Meant to Remain Closed!
Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed!
Avik Pal
Alan Edelman
Chris Rackauckas
42
3
0
03 Mar 2023
Analyzing the Performance of Deep Encoder-Decoder Networks as Surrogates
  for a Diffusion Equation
Analyzing the Performance of Deep Encoder-Decoder Networks as Surrogates for a Diffusion Equation
J. Q. Toledo-Marín
J. Glazier
Geoffrey C. Fox
35
4
0
07 Feb 2023
Eigen-informed NeuralODEs: Dealing with stability and convergence issues
  of NeuralODEs
Eigen-informed NeuralODEs: Dealing with stability and convergence issues of NeuralODEs
Tobias Thummerer
Lars Mikelsons
19
3
0
07 Feb 2023
torchode: A Parallel ODE Solver for PyTorch
torchode: A Parallel ODE Solver for PyTorch
Marten Lienen
Stephan Günnemann
LRM
24
11
0
22 Oct 2022
Neural ODEs as Feedback Policies for Nonlinear Optimal Control
Neural ODEs as Feedback Policies for Nonlinear Optimal Control
I. O. Sandoval
Panagiotis Petsagkourakis
Ehecatl Antonio del Rio Chanona
25
9
0
20 Oct 2022
Scientific Machine Learning for Modeling and Simulating Complex Fluids
Scientific Machine Learning for Modeling and Simulating Complex Fluids
Kyle R. Lennon
G. McKinley
J. Swan
AI4CE
17
27
0
10 Oct 2022
Homotopy-based training of NeuralODEs for accurate dynamics discovery
Homotopy-based training of NeuralODEs for accurate dynamics discovery
Joon-Hyuk Ko
Hankyul Koh
Nojun Park
W. Jhe
51
9
0
04 Oct 2022
NeuralFMU: Presenting a workflow for integrating hybrid NeuralODEs into
  real world applications
NeuralFMU: Presenting a workflow for integrating hybrid NeuralODEs into real world applications
Tobias Thummerer
Johannes Stoljar
Lars Mikelsons
AI4CE
42
9
0
08 Sep 2022
Incremental Correction in Dynamic Systems Modelled with Neural Networks
  for Constraint Satisfaction
Incremental Correction in Dynamic Systems Modelled with Neural Networks for Constraint Satisfaction
Namhoon Cho
Hyo-Sang Shin
Antonios Tsourdos
D. Amato
17
2
0
08 Sep 2022
Closed-Form Diffeomorphic Transformations for Time Series Alignment
Closed-Form Diffeomorphic Transformations for Time Series Alignment
Iñigo Martinez
E. Viles
Igor García Olaizola
AI4TS
17
7
0
16 Jun 2022
Automated differential equation solver based on the parametric
  approximation optimization
Automated differential equation solver based on the parametric approximation optimization
A. Hvatov
Tatiana Tikhonova
24
4
0
11 May 2022
Optimizing differential equations to fit data and predict outcomes
Optimizing differential equations to fit data and predict outcomes
S. Frank
33
4
0
16 Apr 2022
Neural Ordinary Differential Equations for Nonlinear System
  Identification
Neural Ordinary Differential Equations for Nonlinear System Identification
Aowabin Rahman
Ján Drgoňa
Aaron Tuor
J. Strube
27
22
0
28 Feb 2022
Deep learning and differential equations for modeling changes in
  individual-level latent dynamics between observation periods
Deep learning and differential equations for modeling changes in individual-level latent dynamics between observation periods
G. Köber
R. Kalisch
Lara Puhlmann
A. Chmitorz
Anita Schick
Harald Binder
31
1
0
15 Feb 2022
An Overview of Healthcare Data Analytics With Applications to the
  COVID-19 Pandemic
An Overview of Healthcare Data Analytics With Applications to the COVID-19 Pandemic
Z. Fei
Y. Ryeznik
O. Sverdlov
C. Tan
Weng Kee Wong
29
20
0
25 Nov 2021
A research framework for writing differentiable PDE discretizations in
  JAX
A research framework for writing differentiable PDE discretizations in JAX
A. Stanziola
Simon Arridge
B. Cox
B. Treeby
32
8
0
09 Nov 2021
Multiple shooting for training neural differential equations on time
  series
Multiple shooting for training neural differential equations on time series
Evren Mert Turan
J. Jäschke
AI4TS
45
23
0
14 Sep 2021
NeuralFMU: Towards Structural Integration of FMUs into Neural Networks
NeuralFMU: Towards Structural Integration of FMUs into Neural Networks
Tobias Thummerer
Josef Kircher
Lars Mikelsons
AI4CE
23
8
0
09 Sep 2021
Parameter Inference with Bifurcation Diagrams
Parameter Inference with Bifurcation Diagrams
Gregory Szép
Neil Dalchau
A. Csikász-Nagy
21
4
0
08 Jun 2021
Differentiable Multiple Shooting Layers
Differentiable Multiple Shooting Layers
Stefano Massaroli
Michael Poli
Sho Sonoda
Taji Suzuki
Jinkyoo Park
Atsushi Yamashita
Hajime Asama
AI4CE
11
18
0
07 Jun 2021
Opening the Blackbox: Accelerating Neural Differential Equations by
  Regularizing Internal Solver Heuristics
Opening the Blackbox: Accelerating Neural Differential Equations by Regularizing Internal Solver Heuristics
Avik Pal
Yingbo Ma
Viral B. Shah
Chris Rackauckas
28
36
0
09 May 2021
Stiff Neural Ordinary Differential Equations
Stiff Neural Ordinary Differential Equations
Suyong Kim
Weiqi Ji
Sili Deng
Yingbo Ma
Chris Rackauckas
AI4CE
27
144
0
29 Mar 2021
Deep learning approaches to surrogates for solving the diffusion
  equation for mechanistic real-world simulations
Deep learning approaches to surrogates for solving the diffusion equation for mechanistic real-world simulations
J. Q. Toledo-Marín
Geoffrey C. Fox
J. Sluka
J. Glazier
MedIm
AI4CE
21
8
0
10 Feb 2021
Control of Stochastic Quantum Dynamics by Differentiable Programming
Control of Stochastic Quantum Dynamics by Differentiable Programming
Frank Schafer
P. Sekatski
M. Koppenhöfer
C. Bruder
M. Kloc
18
17
0
04 Jan 2021
Neural Closure Models for Dynamical Systems
Neural Closure Models for Dynamical Systems
Abhinav Gupta
Pierre FJ Lermusiaux
AI4CE
27
45
0
27 Dec 2020
Physics-Informed Machine Learning Simulator for Wildfire Propagation
Physics-Informed Machine Learning Simulator for Wildfire Propagation
L. Bottero
Francesco Calisto
Giovanni Graziano
Valerio Pagliarino
Martina Scauda
Sara Tiengo
Simone Azeglio
22
7
0
12 Dec 2020
Deep dynamic modeling with just two time points: Can we still allow for
  individual trajectories?
Deep dynamic modeling with just two time points: Can we still allow for individual trajectories?
Maren Hackenberg
Philipp Harms
Michelle Pfaffenlehner
Astrid Pechmann
Janbernd Kirschner
Thorsten Schmidt
Harald Binder
11
4
0
01 Dec 2020
"Hey, that's not an ODE": Faster ODE Adjoints via Seminorms
"Hey, that's not an ODE": Faster ODE Adjoints via Seminorms
Patrick Kidger
Ricky T. Q. Chen
Terry Lyons
29
40
0
20 Sep 2020
TorchDyn: A Neural Differential Equations Library
TorchDyn: A Neural Differential Equations Library
Michael Poli
Stefano Massaroli
Atsushi Yamashita
Hajime Asama
Jinkyoo Park
AI4CE
22
24
0
20 Sep 2020
Augmenting Neural Differential Equations to Model Unknown Dynamical
  Systems with Incomplete State Information
Augmenting Neural Differential Equations to Model Unknown Dynamical Systems with Incomplete State Information
Robert Strauss
24
3
0
19 Aug 2020
Learning Differential Equations that are Easy to Solve
Learning Differential Equations that are Easy to Solve
Jacob Kelly
J. Bettencourt
Matthew J. Johnson
David Duvenaud
38
111
0
09 Jul 2020
Accurate Characterization of Non-Uniformly Sampled Time Series using
  Stochastic Differential Equations
Accurate Characterization of Non-Uniformly Sampled Time Series using Stochastic Differential Equations
S. Waele
AI4TS
22
0
0
02 Jul 2020
A General Framework for Survival Analysis and Multi-State Modelling
A General Framework for Survival Analysis and Multi-State Modelling
S. Groha
Sebastian M. Schmon
A. Gusev
CML
22
8
0
08 Jun 2020
Predictive Coding Approximates Backprop along Arbitrary Computation
  Graphs
Predictive Coding Approximates Backprop along Arbitrary Computation Graphs
Beren Millidge
Alexander Tschantz
Christopher L. Buckley
32
118
0
07 Jun 2020
Discretize-Optimize vs. Optimize-Discretize for Time-Series Regression
  and Continuous Normalizing Flows
Discretize-Optimize vs. Optimize-Discretize for Time-Series Regression and Continuous Normalizing Flows
Derek Onken
Lars Ruthotto
BDL
32
52
0
27 May 2020
The JuliaConnectoR: a functionally oriented interface for integrating
  Julia in R
The JuliaConnectoR: a functionally oriented interface for integrating Julia in R
S. Lenz
Maren Hackenberg
Harald Binder
16
8
0
13 May 2020
Julia Language in Machine Learning: Algorithms, Applications, and Open
  Issues
Julia Language in Machine Learning: Algorithms, Applications, and Open Issues
Kaifeng Gao
Gang Mei
F. Piccialli
S. Cuomo
Jingzhi Tu
Zenan Huo
23
55
0
23 Mar 2020
Approximation Capabilities of Neural ODEs and Invertible Residual
  Networks
Approximation Capabilities of Neural ODEs and Invertible Residual Networks
Han Zhang
Xi Gao
Jacob Unterman
Tom Arodz
27
98
0
30 Jul 2019
A Differentiable Programming System to Bridge Machine Learning and
  Scientific Computing
A Differentiable Programming System to Bridge Machine Learning and Scientific Computing
Mike Innes
Alan Edelman
Keno Fischer
Chris Rackauckas
Elliot Saba
Viral B. Shah
Will Tebbutt
PINN
27
182
0
17 Jul 2019
Neural Jump Stochastic Differential Equations
Neural Jump Stochastic Differential Equations
Junteng Jia
Austin R. Benson
BDL
22
222
0
24 May 2019
Neural Stochastic Differential Equations: Deep Latent Gaussian Models in
  the Diffusion Limit
Neural Stochastic Differential Equations: Deep Latent Gaussian Models in the Diffusion Limit
Belinda Tzen
Maxim Raginsky
DiffM
11
207
0
23 May 2019
ChronoMID - Cross-Modal Neural Networks for 3-D Temporal Medical Imaging
  Data
ChronoMID - Cross-Modal Neural Networks for 3-D Temporal Medical Imaging Data
Alexander Rakowski
Petar Velickovic
E. Dall’Ara
Pietro Lio
16
2
0
12 Jan 2019
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