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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

Earth observation involves collecting, analyzing, and processing an ever-growing mass of data. This planetary data is crucial for addressing relevant societal, economic, and environmental challenges, ranging from environmental monitoring to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Nathan Mankovich , Kai-Hendrik Cohrs , Homer Durand , Vasileios Sitokonstantinou , Tristan Williams , Gustau Camps-Valls

Application for semantic segmentation models in areas such as autonomous vehicles and human computer interaction require real-time predictive capabilities. The challenges of addressing real-time application is amplified by the need to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Ethan Goan , Clinton Fookes

Software fault prediction (SFP) is a critical task in software engineering, enabling early identification of faults in modules to improve software quality and reduce maintenance costs. This research investigates the combined effects of…

Software Engineering · Computer Science 2026-05-19 Ahmad Nauman Ghazi , Nagajyothi Devarapalli , Ashir Javeed , Sadi Alawadi , Fahed Alkhabbas , Khalid AlKharabsheh

The advent of Scientific Machine Learning has heralded a transformative era in scientific discovery, driving progress across diverse domains. Central to this progress is uncovering scientific laws from experimental data through symbolic…

Methodology · Statistics 2025-09-25 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick

In deep neural nets, lower level embedding layers account for a large portion of the total number of parameters. Tikhonov regularization, graph-based regularization, and hard parameter sharing are approaches that introduce explicit biases…

Machine Learning · Computer Science 2020-10-06 Liwei Wu , Shuqing Li , Cho-Jui Hsieh , James Sharpnack

The problem of symbolic regression (SR) arises in many different applications, such as identifying physical laws or deriving mathematical equations describing the behavior of financial markets from given data. Various methods exist to…

Artificial Intelligence · Computer Science 2025-05-07 Philipp Scholl , Katharina Bieker , Hillary Hauger , Gitta Kutyniok

Symbolic regression aims to discover human-interpretable equations that explain observational data. However, existing approaches rely heavily on discrete structure search (e.g., genetic programming), which often leads to high computational…

Machine Learning · Computer Science 2026-03-25 Fateme Memar , Tao Zhe , Dongjie Wang

Time-series prediction involves forecasting future values using machine learning models. Feature engineering, whereby existing features are transformed to make new ones, is critical for enhancing model performance, but is often manual and…

Machine Learning · Computer Science 2025-08-21 Andrew Murray , Danial Dervovic , Michael Cashmore

Symbolic Regression (SR) allows for the discovery of scientific equations from data. To limit the large search space of possible equations, prior knowledge has been expressed in terms of formal grammars that characterize subsets of…

Machine Learning · Computer Science 2024-06-11 Tim Schneider , Amin Totounferoush , Wolfgang Nowak , Steffen Staab

Fast Function Extraction (FFX) is a deterministic algorithm for solving symbolic regression problems. We improve the accuracy of FFX by adding parameters to the arguments of nonlinear functions. Instead of only optimizing linear parameters,…

Machine Learning · Computer Science 2023-03-10 Lukas Kammerer , Gabriel Kronberger , Michael Kommenda

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

As machine learning models increase in scale and complexity, obtaining sufficient training data has become a critical bottleneck due to acquisition costs, privacy constraints, and data scarcity in specialised domains. While synthetic data…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Giacomo Savazzi , Eugenio Lomurno , Cristian Sbrolli , Agnese Chiatti , Matteo Matteucci

The high feature dimensionality is a challenge in music emotion recognition. There is no common consensus on a relation between audio features and emotion. The MER system uses all available features to recognize emotion; however, this is…

Sound · Computer Science 2022-12-29 Le Cai , Sam Ferguson , Haiyan Lu , Gengfa Fang

Symbolic regression (SR) is a powerful technique for discovering symbolic expressions that characterize nonlinear relationships in data, gaining increasing attention for its interpretability, compactness, and robustness. However, existing…

Machine Learning · Statistics 2025-06-09 Shengbin Ye , Meng Li

Large-scale numerical simulations are capable of generating data up to terabytes or even petabytes. As a promising method of data reduction, super-resolution (SR) has been widely studied in the scientific visualization community. However,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-29 Chenyue Jiao , Chongke Bi , Lu Yang

Automated feature engineering (AFE) enables AI systems to autonomously construct high-utility representations from raw tabular data. However, existing AFE methods rely on statistical heuristics, yielding brittle features that fail under…

Artificial Intelligence · Computer Science 2026-02-19 Arun Vignesh Malarkkan , Wangyang Ying , Yanjie Fu

In stress field analysis, the finite element analysis is a crucial approach, in which the mesh-density has a significant impact on the results. High mesh density usually contributes authentic to simulation results but costs more computing…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Qingfeng Xu , Zhenguo Nie , Handing Xu , Haosu Zhou , Xinjun Liu

The definition of a concise and effective testbed for Genetic Programming (GP) is a recurrent matter in the research community. This paper takes a new step in this direction, proposing a different approach to measure the quality of the…

Neural and Evolutionary Computing · Computer Science 2018-05-29 Luiz Otavio Vilas Boas Oliveira , Joao Francisco Barreto da Silva Martins , Luis Fernando Miranda , Gisele Lobo Pappa

In recent years there has been great progress in the use of machine learning algorithms to develop interatomic potential models. Machine-learned potential models are typically orders of magnitude faster than density functional theory but…

Materials Science · Physics 2023-03-28 Alberto Hernandez , Tim Mueller