DISCOVER: Deep identification of symbolically concise open-form partial differential equations via enhanced reinforcement learning

M Du, Y Chen, D Zhang - Physical Review Research, 2024 - APS
The working mechanisms of complex natural systems tend to abide by concise partial
differential equations (PDEs). Methods that directly mine equations from data are called PDE …

GSR: A generalized symbolic regression approach

T Tohme, D Liu, K Youcef-Toumi - arXiv preprint arXiv:2205.15569, 2022 - arxiv.org
Identifying the mathematical relationships that best describe a dataset remains a very
challenging problem in machine learning, and is known as Symbolic Regression (SR). In …

Evolving Equation Learner For Symbolic Regression

J Dong, J Zhong, WL Liu… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Symbolic regression, a multifaceted optimization challenge involving the refinement of both
structural components and coefficients, has gained significant research interest in recent …

Evolving Form and Function: Dual-Objective Optimization in Neural Symbolic Regression Networks

A Bertschinger, J Bagrow, J Bongard - Proceedings of the Genetic and …, 2024 - dl.acm.org
Data increasingly abounds, but distilling their underlying relationships down to something
interpretable remains challenging. One approach is genetic programming …

No One-Size-Fits-All Neurons: Task-based Neurons for Artificial Neural Networks

FL Fan, M Wang, HC Dong, J Ma, T Zeng - arXiv preprint arXiv …, 2024 - arxiv.org
Biologically, the brain does not rely on a single type of neuron that universally functions in all
aspects. Instead, it acts as a sophisticated designer of task-based neurons. In this study, we …

Bayesian polynomial neural networks and polynomial neural ordinary differential equations

C Fronk, J Yun, P Singh, L Petzold - arXiv preprint arXiv:2308.10892, 2023 - arxiv.org
Symbolic regression with polynomial neural networks and polynomial neural ordinary
differential equations (ODEs) are two recent and powerful approaches for equation recovery …

A Machine Learning Based Framework for Brine-Gas Interfacial Tension Prediction: Implications for H2, CH4 and CO2 Geo-Storage

B Pan, T Song, X Yin, Y Jiang, M Yue… - SPE Gas & Oil …, 2024 - onepetro.org
Brine-gas interfacial tension (γ) is an important parameter to determine fluid dynamics,
trapping and distributions at pore-scale, thus influencing gas (H2, CH4 and CO2) geo …

A Personalised Learning Tool for Physics Undergraduate Students Built On a Large Language Model for Symbolic Regression

Y Zhu, ZY Khoo, JSC Low… - 2024 IEEE Conference on …, 2024 - ieeexplore.ieee.org
Interleaved practice enhances the memory and problem-solving ability of students in
undergraduate courses. We introduce a personalized learning tool built on a Large …

Reduce Overfitting and Improve Deep Learning Models' Performance in Medical Image Classification

N Raju, DP Augustine - Machine Intelligence, 2023 - taylorfrancis.com
A significant role in clinical treatment and educational tasks is played by clinical image
classification. However, the traditional approach has reached its peak in terms of …

Advances in Symbolic Regression: From Generalized Formulation to Density Estimation and Inverse Problem

T Tohme - 2024 - dspace.mit.edu
In this thesis, we explore the field of Symbolic Regression (SR), a middle ground between
simple linear regression and complex inscrutable black box regressors such as neural …