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Symbolic Regression (SR) searches for mathematical expressions which best describe numerical datasets. This allows to circumvent interpretation issues inherent to artificial neural networks, but SR algorithms are often computationally…

Machine Learning · Computer Science 2025-01-06 Florian Lalande , Yoshitomo Matsubara , Naoya Chiba , Tatsunori Taniai , Ryo Igarashi , Yoshitaka Ushiku

Symbolic Regression (SR) algorithms attempt to learn analytic expressions which fit data accurately and in a highly interpretable manner. Conventional SR suffers from two fundamental issues which we address here. First, these methods search…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-05 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Prediction of a machine's Remaining Useful Life (RUL) is one of the key tasks in predictive maintenance. The task is treated as a regression problem where Machine Learning (ML) algorithms are used to predict the RUL of machine components.…

Machine Learning · Computer Science 2022-05-03 Talhat Khan , Kashif Ahmad , Jebran Khan , Imran Khan , Nasir Ahmad

Survival analysis is central to clinical research, informing patient prognoses, guiding treatment decisions, and optimising resource allocation. Accurate time-to-event predictions not only improve quality of life but also reveal risk…

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,…

Prediction of survival in patients diagnosed with a brain tumour is challenging because of heterogeneous tumour behaviours and responses to treatment. Better estimations of prognosis would support treatment planning and patient support.…

Machine Learning · Computer Science 2021-06-18 Colleen E. Charlton , Michael Tin Chung Poon , Paul M. Brennan , Jacques D. Fleuriot

The Symbolic Regression (SR) problem, where the goal is to find a regression function that does not have a pre-specified form but is any function that can be composed of a list of operators, is a hard problem in machine learning, both…

Machine Learning · Computer Science 2020-06-15 Vernon Austel , Cristina Cornelio , Sanjeeb Dash , Joao Goncalves , Lior Horesh , Tyler Josephson , Nimrod Megiddo

We introduce an Invertible Symbolic Regression (ISR) method. It is a machine learning technique that generates analytical relationships between inputs and outputs of a given dataset via invertible maps (or architectures). The proposed ISR…

Machine Learning · Computer Science 2024-05-14 Tony Tohme , Mohammad Javad Khojasteh , Mohsen Sadr , Florian Meyer , Kamal Youcef-Toumi

One of the potential solutions for model interpretation is to train a surrogate model: a more transparent model that approximates the behavior of the model to be explained. Typically, classification rules or decision trees are used due to…

Human-Computer Interaction · Computer Science 2022-01-20 Jun Yuan , Brian Barr , Kyle Overton , Enrico Bertini

We investigate a long-debated question, which is how to create predictive models of recidivism that are sufficiently accurate, transparent, and interpretable to use for decision-making. This question is complicated as these models are used…

Machine Learning · Statistics 2020-10-20 Jiaming Zeng , Berk Ustun , Cynthia Rudin

Evolutionary symbolic regression (SR) fits a symbolic equation to data, which gives a concise interpretable model. We explore using SR as a method to propose which data to gather in an active learning setting with physical constraints. SR…

Machine Learning · Computer Science 2024-08-13 Jorge Medina , Andrew D. White

As artificial intelligence (AI) systems become increasingly integrated into critical decision-making processes, the need for transparent and interpretable models has become paramount. In this article we present a new ruleset creation method…

Machine Learning · Computer Science 2024-07-30 Mario Parrón Verdasco , Esteban García-Cuesta

Life expectancy is a fundamental indicator of population health and socio-economic well-being, yet accurately forecasting it remains challenging due to the interplay of demographic, environmental, and healthcare factors. This study…

Machine Learning · Computer Science 2025-10-02 Roman Dolgopolyi , Ioanna Amaslidou , Agrippina Margaritou

Survival analysis studies and predicts the time of death, or other singular unrepeated events, based on historical data, while the true time of death for some instances is unknown. Survival trees enable the discovery of complex nonlinear…

Machine Learning · Computer Science 2024-01-10 Tim Huisman , Jacobus G. M. van der Linden , Emir Demirović

Accurate Angle-of-arrival (AoA) estimation is essential for next-generation wireless communication systems to enable reliable beamforming, high-precision localization, and integrated sensing. Unfortunately, classical high-resolution…

Signal Processing · Electrical Eng. & Systems 2025-10-31 Shih-Kai Chou , Mengran Zhao , Cheng-Nan Hu , Kuang-Chung Chou , Carolina Fortuna , Jernej Hribar

Symbolic Regression (SR) is a powerful technique for automatically discovering mathematical expressions from input data. Mainstream SR algorithms search for the optimal symbolic tree in a vast function space, but the increasing complexity…

Machine Learning · Computer Science 2026-02-03 Xinxin Li , Juan Zhang , Da Li , Xingyu Liu , Jin Xu , Junping Yin

Understanding and predicting the activity of oxide perovskite catalysts for the oxygen evolution reaction (OER) requires descriptors that are both accurate and physically interpretable. While symbolic regression (SR) offers a path to…

Data Analysis, Statistics and Probability · Physics 2025-07-17 Yeming Xian , Xiaoming Wang , Yanfa Yan

Symbolic regression is essential for deriving interpretable expressions that elucidate complex phenomena by exposing the underlying mathematical and physical relationships in data. In this paper, we present an advanced symbolic regression…

Machine Learning · Computer Science 2025-03-13 Sikai Huang , Yixin Berry Wen , Tara Adusumilli , Kusum Choudhary , Haizhao Yang

Symbolic Regression (SR) enables the discovery of interpretable mathematical relationships from experimental and simulation data. These relationships are often coined descriptors which are defined as a fundamental materials property that is…

Computational Physics · Physics 2026-02-10 Udaykumar Gajera , Mohsen Sotoudeh , Kanchan Sarkar , Axel Groß

Regression analysis is used for prediction and to understand the effect of independent variables on dependent variables. Symbolic regression (SR) automates the search for non-linear regression models, delivering a set of hypotheses that…

Machine Learning · Computer Science 2025-04-09 Fabricio Olivetti de Franca , Gabriel Kronberger