Artificial intelligence in physical sciences: Symbolic regression trends and perspectives

D Angelis, F Sofos, TE Karakasidis - Archives of Computational Methods …, 2023 - Springer
Symbolic regression (SR) is a machine learning-based regression method based on genetic
programming principles that integrates techniques and processes from heterogeneous …

A comprehensive review of hybrid models for solar radiation forecasting

M Guermoui, F Melgani, K Gairaa… - Journal of Cleaner …, 2020 - Elsevier
Solar radiation components assessment is a highly required parameter for solar energy
applications. Due to the non-stationary behavior of solar radiation parameters and variety of …

AI Feynman 2.0: Pareto-optimal symbolic regression exploiting graph modularity

SM Udrescu, A Tan, J Feng, O Neto… - Advances in Neural …, 2020 - proceedings.neurips.cc
We present an improved method for symbolic regression that seeks to fit data to formulas
that are Pareto-optimal, in the sense of having the best accuracy for a given complexity. It …

A review on data-driven constitutive laws for solids

JN Fuhg, G Anantha Padmanabha, N Bouklas… - … Methods in Engineering, 2024 - Springer
This review article highlights state-of-the-art data-driven techniques to discover, encode,
surrogate, or emulate constitutive laws that describe the path-independent and path …

GPTIPS 2: an open-source software platform for symbolic data mining

DP Searson - Handbook of genetic programming applications, 2015 - Springer
Genetic programming (GP; Koza 1992) is a biologically inspired machine learning method
that evolves computer programs to perform a task. It does this by randomly generating a …

Modeling monthly reference evapotranspiration process in Turkey: application of machine learning methods

S Bayram, H Çıtakoğlu - Environmental Monitoring and Assessment, 2023 - Springer
In this study, the predictive power of three different machine learning (ML)-based
approaches, namely, multi-gene genetic programming (MGGP), M5 model trees (M5Tree) …

A new multi-gene genetic programming approach to nonlinear system modeling. Part I: materials and structural engineering problems

AH Gandomi, AH Alavi - Neural Computing and Applications, 2012 - Springer
This paper presents a new approach for behavioral modeling of structural engineering
systems using a promising variant of genetic programming (GP), namely multi-gene genetic …

Hybrid MARS-, MEP-, and ANN-based prediction for modeling the compressive strength of cement mortar with various sand size and clay mineral metakaolin content

A Abdalla, AS Mohammed - Archives of Civil and Mechanical Engineering, 2022 - Springer
In this study, several mathematical, soft computing, and machine learning modeling tools are
used to develop a dependable model for forecasting the compressive strength of cement …

A computational framework for physics-informed symbolic regression with straightforward integration of domain knowledge

LS Keren, A Liberzon, T Lazebnik - Scientific Reports, 2023 - nature.com
Discovering a meaningful symbolic expression that explains experimental data is a
fundamental challenge in many scientific fields. We present a novel, open-source …

A mathematical guide to operator learning

N Boullé, A Townsend - arXiv preprint arXiv:2312.14688, 2023 - arxiv.org
Operator learning aims to discover properties of an underlying dynamical system or partial
differential equation (PDE) from data. Here, we present a step-by-step guide to operator …