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Related papers: Predicting Friction System Performance with Symbol…

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We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or…

Data Analysis, Statistics and Probability · Physics 2016-08-03 Markus Quade , Markus Abel , Kamran Shafi , Robert K. Niven , Bernd R. Noack

Symbolic regression is a machine learning method with the goal to produce interpretable results. Unlike other machine learning methods such as, e.g. random forests or neural networks, which are opaque, symbolic regression aims to model and…

Machine Learning · Computer Science 2024-06-07 Yousef A. Radwan , Gabriel Kronberger , Stephan Winkler

It is common to utilise dynamic models to measure the tyre-road friction in real-time. Alternatively, predictive approaches estimate the tyre-road friction by identifying the environmental factors affecting it. This work aims to formulate…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Mohammad Otoofi , William J. B. Midgley , Leo Laine , Henderson Leon , Laura Justham , James Fleming

Accurately modeling the friction torque in robotic joints has long been challenging due to the request for a robust mathematical description. Traditional model-based approaches are often labor-intensive, requiring extensive experiments and…

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

Neural and Evolutionary Computing · Computer Science 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

Computational fluid dynamics (CFD) analysis is widely used in engineering. Although CFD calculations are accurate, the computational cost associated with complex systems makes it difficult to obtain empirical equations between system…

Fluid Dynamics · Physics 2022-04-08 Mehrad Ansari , Heta A. Gandhi , David G. Foster , Andrew D. White

Symbolic regression, as one of the most crucial tasks in AI for science, discovers governing equations from experimental data. Popular approaches based on genetic programming, Monte Carlo tree search, or deep reinforcement learning learn…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Nan Jiang , Yexiang Xue

Automated scientific discovery aims to improve scientific understanding through machine learning. A central approach in this field is symbolic regression, which uses genetic programming or sparse regression to learn interpretable…

Neural and Evolutionary Computing · Computer Science 2026-03-11 Sigur de Vries , Sander W. Keemink , Marcel A. J. van Gerven

Symbolic regression is the task of identifying a mathematical expression that best fits a provided dataset of input and output values. Due to the richness of the space of mathematical expressions, symbolic regression is generally a…

Machine Learning · Computer Science 2021-06-29 Mojtaba Valipour , Bowen You , Maysum Panju , Ali Ghodsi

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

A good feature representation is a determinant factor to achieve high performance for many machine learning algorithms in terms of classification. This is especially true for techniques that do not build complex internal representations of…

Neural and Evolutionary Computing · Computer Science 2019-08-22 Noëlie Cherrier , Jean-Philippe Poli , Maxime Defurne , Franck Sabatié

Symbolic regression (SR) methods attempt to learn mathematical expressions that approximate the behavior of an observed system. However, when dealing with multivariate systems, they often fail to identify the functional form that explains…

Machine Learning · Computer Science 2024-06-27 Giorgio Morales , John W. Sheppard

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

Widely used in hydraulics, the Colebrook equation for flow friction relates implicitly to the input parameters; the Reynolds number, and the relative roughness of inner pipe surface, with the output unknown parameter; the flow friction…

Computational Engineering, Finance, and Science · Computer Science 2018-10-29 Pavel Praks , Dejan Brkic

Symbolic regression is the process of identifying mathematical expressions that fit observed output from a black-box process. It is a discrete optimization problem generally believed to be NP-hard. Prior approaches to solving the problem…

Neural and Evolutionary Computing · Computer Science 2021-11-19 T. Nathan Mundhenk , Mikel Landajuela , Ruben Glatt , Claudio P. Santiago , Daniel M. Faissol , Brenden K. Petersen

In this paper a data mining approach for variable selection and knowledge extraction from datasets is presented. The approach is based on unguided symbolic regression (every variable present in the dataset is treated as the target variable…

Neural and Evolutionary Computing · Computer Science 2013-09-24 Michael Kommenda , Gabriel Kronberger , Christoph Feilmayr , Michael Affenzeller

Accurately estimating friction coefficients between arbitrary material pairs is critical for robotics, digital fabrication, and physics-based simulation, but exhaustive pairwise testing scales quadratically with the number of materials. We…

Robotics · Computer Science 2026-04-28 Zhendong Wang , Huamin Wang

Symbolic regression is a nonlinear regression method which is commonly performed by an evolutionary computation method such as genetic programming. Quantification of uncertainty of regression models is important for the interpretation of…

Machine Learning · Computer Science 2022-09-15 Fabricio Olivetti de Franca , Gabriel Kronberger

Factorization machine (FM) variants are widely used for large scale real-time content recommendation systems, since they offer an excellent balance between model accuracy and low computational costs for training and inference. These systems…

Machine Learning · Computer Science 2025-01-03 Alex Shtoff , Elie Abboud , Rotem Stram , Oren Somekh

Interpretable regression models are important for many application domains, as they allow experts to understand relations between variables from sparse data. Symbolic regression addresses this issue by searching the space of all possible…

Artificial Intelligence · Computer Science 2022-06-14 Marcus Märtens , Dario Izzo
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