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Extrapolation and learning equations

Extrapolation and learning equations

10 October 2016
Georg Martius
Christoph H. Lampert
ArXiv (abs)PDFHTML

Papers citing "Extrapolation and learning equations"

50 / 90 papers shown
Title
Interpretable Robotic Friction Learning via Symbolic Regression
Interpretable Robotic Friction Learning via Symbolic Regression
Philipp Scholl
Alexander Dietrich
Sebastian Wolf
Jinoh Lee
Alin Albu-Schäffer
Gitta Kutyniok
Maged Iskandar
44
0
0
19 May 2025
Discovering Symbolic Differential Equations with Symmetry Invariants
Discovering Symbolic Differential Equations with Symmetry Invariants
Jianke Yang
Manu Bhat
Bryan Hu
Yadi Cao
Nima Dehmamy
Robin Walters
Rose Yu
47
0
0
17 May 2025
UniSymNet: A Unified Symbolic Network Guided by Transformer
UniSymNet: A Unified Symbolic Network Guided by Transformer
Xinxin Li
Juan Zhang
Da Li
Xingyu Liu
Jin Xu
Junping Yin
85
0
0
09 May 2025
Neuro-Evolutionary Approach to Physics-Aware Symbolic Regression
Neuro-Evolutionary Approach to Physics-Aware Symbolic Regression
Jiří Kubalík
Robert Babuška
70
0
0
23 Apr 2025
CTSR: Cartesian tensor-based sparse regression for data-driven discovery of high-dimensional invariant governing equations
CTSR: Cartesian tensor-based sparse regression for data-driven discovery of high-dimensional invariant governing equations
Boqian Zhang
Juanmian Lei
Guoyou Sun
Shuaibing Ding
Jian Guo
83
0
0
10 Apr 2025
Interpretable Machine Learning in Physics: A Review
Interpretable Machine Learning in Physics: A Review
Sebastian Johann Wetzel
Seungwoong Ha
Raban Iten
Miriam Klopotek
Ziming Liu
AI4CE
160
2
0
30 Mar 2025
Graph-Eq: Discovering Mathematical Equations using Graph Generative Models
Graph-Eq: Discovering Mathematical Equations using Graph Generative Models
Nisal Ranasinghe
Damith A. Senanayake
Saman K. Halgamuge
73
0
0
30 Mar 2025
Enhancing Symbolic Regression with Quality-Diversity and Physics-Inspired Constraints
Enhancing Symbolic Regression with Quality-Diversity and Physics-Inspired Constraints
J.-P. Bruneton
130
0
0
24 Mar 2025
Evolving Form and Function: Dual-Objective Optimization in Neural Symbolic Regression Networks
Amanda Bertschinger
James P. Bagrow
Joshua Bongard
150
1
0
24 Feb 2025
No Equations Needed: Learning System Dynamics Without Relying on Closed-Form ODEs
No Equations Needed: Learning System Dynamics Without Relying on Closed-Form ODEs
Krzysztof Kacprzyk
Mihaela van der Schaar
289
0
0
30 Jan 2025
Generalizing the SINDy approach with nested neural networks
Generalizing the SINDy approach with nested neural networks
Camilla Fiorini
Clément Flint
Louis Fostier
Emmanuel Franck
Reyhaneh Hashemi
Victor Michel-Dansac
Wassim Tenachi
168
2
0
28 Jan 2025
Neural Symbolic Regression of Complex Network Dynamics
Neural Symbolic Regression of Complex Network Dynamics
Haiquan Qiu
Shuzhi Liu
Quanming Yao
59
1
0
15 Oct 2024
Baseflow identification via explainable AI with Kolmogorov-Arnold
  networks
Baseflow identification via explainable AI with Kolmogorov-Arnold networks
Chuyang Liu
Tirthankar Roy
Daniel M. Tartakovsky
D. Dwivedi
51
0
0
10 Oct 2024
Closed-Form Interpretation of Neural Network Latent Spaces with Symbolic Gradients
Closed-Form Interpretation of Neural Network Latent Spaces with Symbolic Gradients
Zakaria Patel
S. J. Wetzel
131
2
0
09 Sep 2024
KAN 2.0: Kolmogorov-Arnold Networks Meet Science
KAN 2.0: Kolmogorov-Arnold Networks Meet Science
Ziming Liu
Pingchuan Ma
Yixuan Wang
Wojciech Matusik
Max Tegmark
124
75
0
19 Aug 2024
Univariate Skeleton Prediction in Multivariate Systems Using
  Transformers
Univariate Skeleton Prediction in Multivariate Systems Using Transformers
Giorgio Morales
John W. Sheppard
71
1
0
25 Jun 2024
A Personalised Learning Tool for Physics Undergraduate Students Built On
  a Large Language Model for Symbolic Regression
A Personalised Learning Tool for Physics Undergraduate Students Built On a Large Language Model for Symbolic Regression
Yufan Zhu
Zi-Yu Khoo
Jonathan Sze Choong Low
Stephane Bressan
AI4Ed
127
2
0
17 Jun 2024
Expressive Symbolic Regression for Interpretable Models of Discrete-Time
  Dynamical Systems
Expressive Symbolic Regression for Interpretable Models of Discrete-Time Dynamical Systems
Adarsh Iyer
N. Boddupalli
Jeff Moehlis
28
0
0
05 Jun 2024
Pruner-Zero: Evolving Symbolic Pruning Metric from scratch for Large
  Language Models
Pruner-Zero: Evolving Symbolic Pruning Metric from scratch for Large Language Models
Peijie Dong
Lujun Li
Zhenheng Tang
Xiang Liu
Xinglin Pan
Qiang-qiang Wang
Xiaowen Chu
153
33
0
05 Jun 2024
OccamLLM: Fast and Exact Language Model Arithmetic in a Single Step
OccamLLM: Fast and Exact Language Model Arithmetic in a Single Step
Owen Dugan
Donato Manuel Jimenez Beneto
Charlotte Loh
Zhuo Chen
Rumen Dangovski
Marin Soljacic
LRM
75
2
0
04 Jun 2024
Discovering an interpretable mathematical expression for a full
  wind-turbine wake with artificial intelligence enhanced symbolic regression
Discovering an interpretable mathematical expression for a full wind-turbine wake with artificial intelligence enhanced symbolic regression
Ding Wang
Yuntian Chen
Shiyi Chen
85
3
0
02 Jun 2024
Function Extrapolation with Neural Networks and Its Application for
  Manifolds
Function Extrapolation with Neural Networks and Its Application for Manifolds
Guy Hay
N. Sharon
76
2
0
17 May 2024
LLM4ED: Large Language Models for Automatic Equation Discovery
LLM4ED: Large Language Models for Automatic Equation Discovery
Mengge Du
Yuntian Chen
Zhongzheng Wang
Longfeng Nie
Dong-juan Zhang
69
5
0
13 May 2024
ISR: Invertible Symbolic Regression
ISR: Invertible Symbolic Regression
Tony Tohme
M. J. Khojasteh
Mohsen Sadr
Florian Meyer
Kamal Youcef-Toumi
103
0
0
10 May 2024
KAN: Kolmogorov-Arnold Networks
KAN: Kolmogorov-Arnold Networks
Ziming Liu
Yixuan Wang
Sachin Vaidya
Fabian Ruehle
James Halverson
Marin Soljacic
Thomas Y. Hou
Max Tegmark
310
587
0
30 Apr 2024
Shape Arithmetic Expressions: Advancing Scientific Discovery Beyond
  Closed-Form Equations
Shape Arithmetic Expressions: Advancing Scientific Discovery Beyond Closed-Form Equations
Krzysztof Kacprzyk
M. Schaar
58
1
0
15 Apr 2024
End-to-End Neuro-Symbolic Reinforcement Learning with Textual
  Explanations
End-to-End Neuro-Symbolic Reinforcement Learning with Textual Explanations
Lirui Luo
Guoxi Zhang
Hongming Xu
Yaodong Yang
Cong Fang
Qing Li
113
11
0
19 Mar 2024
Deep Neural Network for Constraint Acquisition through Tailored Loss
  Function
Deep Neural Network for Constraint Acquisition through Tailored Loss Function
Eduardo Vyhmeister
Rocio Paez
Gabriel Gonzalez
73
0
0
04 Mar 2024
Discovering Mathematical Formulas from Data via GPT-guided Monte Carlo
  Tree Search
Discovering Mathematical Formulas from Data via GPT-guided Monte Carlo Tree Search
Yanjie Li
Weijun Li
Lina Yu
Min Wu
Jingyi Liu
Wenqiang Li
Meilan Hao
Shu Wei
Yusong Deng
91
9
0
24 Jan 2024
SymbolNet: Neural Symbolic Regression with Adaptive Dynamic Pruning for Compression
SymbolNet: Neural Symbolic Regression with Adaptive Dynamic Pruning for Compression
Ho Fung Tsoi
Vladimir Loncar
S. Dasu
Philip C. Harris
235
4
0
18 Jan 2024
Closed-Form Interpretation of Neural Network Classifiers with Symbolic
  Regression Gradients
Closed-Form Interpretation of Neural Network Classifiers with Symbolic Regression Gradients
S. J. Wetzel
105
3
0
10 Jan 2024
GINN-LP: A Growing Interpretable Neural Network for Discovering
  Multivariate Laurent Polynomial Equations
GINN-LP: A Growing Interpretable Neural Network for Discovering Multivariate Laurent Polynomial Equations
Nisal Ranasinghe
Damith A. Senanayake
Sachith Seneviratne
Malin Premaratne
Saman K. Halgamuge
129
4
0
18 Dec 2023
Class Symbolic Regression: Gotta Fit Ém All
Class Symbolic Regression: Gotta Fit Ém All
Wassim Tenachi
Rodrigo Ibata
Thibaut L. François
F. Diakogiannis
87
5
0
04 Dec 2023
Improved identification accuracy in equation learning via comprehensive
  $\boldsymbol{R^2}$-elimination and Bayesian model selection
Improved identification accuracy in equation learning via comprehensive R2\boldsymbol{R^2}R2-elimination and Bayesian model selection
Daniel Nickelsen
B. Bah
118
0
0
22 Nov 2023
MetaSymNet: A Dynamic Symbolic Regression Network Capable of Evolving
  into Arbitrary Formulations
MetaSymNet: A Dynamic Symbolic Regression Network Capable of Evolving into Arbitrary Formulations
Yanjie Li
Weijun Li
Lina Yu
Min Wu
Jinyi Liu
Wenqiang Li
Meilan Hao
Shu Wei
Yusong Deng
84
4
0
13 Nov 2023
Theory and implementation of inelastic Constitutive Artificial Neural
  Networks
Theory and implementation of inelastic Constitutive Artificial Neural Networks
H. Holthusen
L. Lamm
T. Brepols
Stefanie Reese
Ellen Kuhl
AI4CE
108
32
0
10 Nov 2023
Constrained Equation Learner Networks for Precision-Preserving
  Extrapolation of Robotic Skills
Constrained Equation Learner Networks for Precision-Preserving Extrapolation of Robotic Skills
Hector M. Perez-Villeda
J. Piater
Matteo Saveriano
43
0
0
04 Nov 2023
Efficient Symbolic Policy Learning with Differentiable Symbolic
  Expression
Efficient Symbolic Policy Learning with Differentiable Symbolic Expression
Jiaming Guo
Rui Zhang
Shaohui Peng
Qi Yi
Xingui Hu
...
Zidong Du
Xishan Zhang
Ling Li
Qi Guo
Yunji Chen
OffRL
68
7
0
02 Nov 2023
ParFam -- (Neural Guided) Symbolic Regression Based on Continuous Global Optimization
ParFam -- (Neural Guided) Symbolic Regression Based on Continuous Global Optimization
Philipp Scholl
Katharina Bieker
Hillary Hauger
Gitta Kutyniok
112
5
0
09 Oct 2023
A Neural-Guided Dynamic Symbolic Network for Exploring Mathematical
  Expressions from Data
A Neural-Guided Dynamic Symbolic Network for Exploring Mathematical Expressions from Data
Wenqiang Li
Weijun Li
Lina Yu
Min Wu
Linjun Sun
Jingyi Liu
Yanjie Li
Shu Wei
Yusong Deng
Meilan Hao
74
6
0
24 Sep 2023
Characterization of partial wetting by CMAS droplets using multiphase
  many-body dissipative particle dynamics and data-driven discovery based on
  PINNs
Characterization of partial wetting by CMAS droplets using multiphase many-body dissipative particle dynamics and data-driven discovery based on PINNs
Elham Kiyani
M. Kooshkbaghi
K. Shukla
R. Koneru
Zhen Li
L. Bravo
A. Ghoshal
George Karniadakis
M. Karttunen
AI4CE
62
4
0
18 Jul 2023
Information Fusion via Symbolic Regression: A Tutorial in the Context of
  Human Health
Information Fusion via Symbolic Regression: A Tutorial in the Context of Human Health
J. J. Schnur
Nitesh Chawla
60
5
0
31 May 2023
Simultaneous identification of models and parameters of scientific
  simulators
Simultaneous identification of models and parameters of scientific simulators
Cornelius Schroder
Jakob H. Macke
104
4
0
24 May 2023
RSRM: Reinforcement Symbolic Regression Machine
RSRM: Reinforcement Symbolic Regression Machine
Yilong Xu
Yang Liu
Haoqin Sun
50
4
0
24 May 2023
Differentiable Genetic Programming for High-dimensional Symbolic
  Regression
Differentiable Genetic Programming for High-dimensional Symbolic Regression
Peng Zeng
Xiaotian Song
Andrew Lensen
Yuwei Ou
Yanan Sun
Mengjie Zhang
Jiancheng Lv
84
3
0
18 Apr 2023
Correcting for Selection Bias and Missing Response in Regression using
  Privileged Information
Correcting for Selection Bias and Missing Response in Regression using Privileged Information
Philip A. Boeken
Noud de Kroon
Mathijs de Jong
Joris M. Mooij
O. Zoeter
103
4
0
29 Mar 2023
Deep symbolic regression for physics guided by units constraints: toward
  the automated discovery of physical laws
Deep symbolic regression for physics guided by units constraints: toward the automated discovery of physical laws
Wassim Tenachi
Rodrigo Ibata
F. Diakogiannis
AI4CE
76
83
0
06 Mar 2023
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning
S Chandra Mouli
M. A. Alam
Bruno Ribeiro
OOD
60
4
0
06 Mar 2023
Online Symbolic Regression with Informative Query
Online Symbolic Regression with Informative Query
Pengwei Jin
Di Huang
Rui Zhang
Xingui Hu
Ziyuan Nan
Zidong Du
Qi Guo
Yunji Chen
45
2
0
21 Feb 2023
Efficient Generator of Mathematical Expressions for Symbolic Regression
Efficient Generator of Mathematical Expressions for Symbolic Regression
Sebastian Mežnar
Jannis Brugger
L. Todorovski
75
13
0
20 Feb 2023
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