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Learning symbolic expressions directly from experiment data is a vital step in AI-driven scientific discovery. Nevertheless, state-of-the-art approaches are limited to learning simple expressions. Regressing expressions involving many…

Neural and Evolutionary Computing · Computer Science 2023-06-16 Nan Jiang , Yexiang Xue

Friction modeling plays a crucial role in achieving high-precision motion control in robotic operating systems. Traditional static friction models (such as the Stribeck model) are widely used due to their simple forms; however, they…

Robotics · Computer Science 2025-11-14 Yizheng Wang , Timon Rabczuk , Yinghua Liu

In this paper we present a discussion of the basic aspects of the well-known problem of prediction and inference in physics, with specific attention to the role of models, the use of data and the application of recent developments in…

General Physics · Physics 2024-10-07 Luca Gammaitoni , Angelo Vulpiani

Rapid advancements in genome sequencing have led to the collection of vast amounts of genomics data. Researchers may be interested in using machine learning models on such data to predict the pathogenicity or clinical significance of a…

Quantitative Methods · Quantitative Biology 2024-08-15 Arshmeet Kaur , Morteza Sarmadi

In this paper, the problem of road friction prediction from a fleet of connected vehicles is investigated. A framework is proposed to predict the road friction level using both historical friction data from the connected cars and data from…

Machine Learning · Computer Science 2017-09-19 Ghazaleh Panahandeh , Erik Ek , Nasser Mohammadiha

To solve complex real-world problems, heuristics and concept-based approaches can be used in order to incorporate information into the problem. In this study, a concept-based approach called variable functioning Fx is introduced to reduce…

Computational Engineering, Finance, and Science · Computer Science 2022-05-17 Amir H Gandomi , Kalyanmoy Deb , Ronald C Averill , Shahryar Rahnamayan , Mohammad Nabi Omidvar

In the manufacturing process, sensor data collected from equipment is crucial for building predictive models to manage processes and improve productivity. However, in the field, it is challenging to gather sufficient data to build robust…

Machine Learning · Computer Science 2024-07-10 Gyeong Taek Lee , Oh-Ran Kwon

This paper addresses the problem of domain shifts in electric motor vibration data created by new operating conditions in testing scenarios, focusing on bearing fault detection and diagnosis (FDD). The proposed method combines the Harmonic…

Signal Processing · Electrical Eng. & Systems 2025-04-16 Lesley Wheat , Martin v. Mohrenschildt , Saeid Habibi , Dhafar Al-Ani

In practice functional data are sampled on a discrete set of observation points and often susceptible to noise. We consider in this paper the setting where such data are used as explanatory variables in a regression problem. If the primary…

Methodology · Statistics 2021-12-14 Siegfried Hörmann , Fatima Jammoul

We analyse the search behaviour of genetic programming for symbolic regression in practically relevant but limited settings, allowing exhaustive enumeration of all solutions. This enables us to quantify the success probability of finding…

Neural and Evolutionary Computing · Computer Science 2026-03-30 Gabriel Kronberger , Fabricio Olivetti de Franca , Harry Desmond , Deaglan J. Bartlett , Lukas Kammerer

Predictive modeling uncovers knowledge and insights regarding a hypothesized data generating mechanism (DGM). Results from different studies on a complex DGM, derived from different data sets, and using complicated models and algorithms,…

Methodology · Statistics 2022-11-21 Anna L. Smith , Tian Zheng , Andrew Gelman

The mathematical formula is the human language to describe nature and is the essence of scientific research. Finding mathematical formulas from observational data is a major demand of scientific research and a major challenge of artificial…

Machine Learning · Computer Science 2024-04-10 Yanjie Li , Weijun Li , Lina Yu , Min Wu , Jingyi Liu , Wenqiang Li , Meilan Hao , Shu Wei , Yusong Deng

Time series forecasting is one of the challenging problems for humankind. Traditional forecasting methods using mean regression models have severe shortcomings in reflecting real-world fluctuations. While new probabilistic methods rush to…

Machine Learning · Computer Science 2019-06-26 Alireza Koochali , Peter Schichtel , Sheraz Ahmed , Andreas Dengel

When choosing between competing symbolic models for a data set, a human will naturally prefer the "simpler" expression or the one which more closely resembles equations previously seen in a similar context. This suggests a non-uniform prior…

Machine Learning · Computer Science 2023-06-05 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Machine learning models, such as neural networks, decision trees, random forests, and gradient boosting machines, accept a feature vector, and provide a prediction. These models learn in a supervised fashion where we provide feature vectors…

Machine Learning · Computer Science 2020-11-03 Jeff Heaton

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

Machine Learning · Computer Science 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

Nowadays, manufacturing sectors harness the power of machine learning and data science algorithms to make predictions for the optimization of mechanical and microstructure properties of fabricated mechanical components. The application of…

Machine Learning · Computer Science 2022-01-25 Akshansh Mishra , Raheem Al-Sabur , Ahmad K. Jassim

The value of unknown parameters of multibody systems is crucial for prediction, monitoring, and control, sometimes estimated using a biased physics-based model leading to incorrect outcomes. Discovering motion equations of multibody systems…

Computational Engineering, Finance, and Science · Computer Science 2022-10-24 Ehsan Askari , Guillaume Crevecoeur

This paper presents a method for identifying mechanical parameters of robots or objects, such as their mass and friction coefficients. Key features are the use of off-the-shelf physics engines and the adaptation of a Bayesian optimization…

Robotics · Computer Science 2018-06-14 Shaojun Zhu , Andrew Kimmel , Kostas E. Bekris , Abdeslam Boularias

Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…