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Symbolic regression (SR), the automated discovery of mathematical expressions from data, is a cornerstone of scientific inquiry. However, it is often hindered by the combinatorial explosion of the search space and a tendency to overfit.…

This paper introduces SGNMT, our experimental platform for machine translation research. SGNMT provides a generic interface to neural and symbolic scoring modules (predictors) with left-to-right semantic such as translation models like NMT,…

Computation and Language · Computer Science 2017-07-24 Felix Stahlberg , Eva Hasler , Danielle Saunders , Bill Byrne

Recently, several algorithms for symbolic regression (SR) emerged which employ a form of multiple linear regression (LR) to produce generalized linear models. The use of LR allows the algorithms to create models with relatively small error…

Machine Learning · Computer Science 2017-03-13 Jan Žegklitz , Petr Pošík

Generalised planning (GP) refers to the task of synthesising programs that solve families of related planning problems. We introduce a novel, yet simple method for GP: given a set of training problems, for each problem, compute an optimal…

Artificial Intelligence · Computer Science 2025-11-17 Dillon Z. Chen , Till Hofmann , Toryn Q. Klassen , Sheila A. McIlraith

Cartesian Genetic Programming (CGP) has many modifications across a variety of implementations, such as recursive connections and node weights. Alternative genetic operators have also been proposed for CGP, but have not been fully studied.…

Neural and Evolutionary Computing · Computer Science 2018-10-10 DG Wilson , Julian F. Miller , Sylvain Cussat-Blanc , Hervé Luga

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

Machine Learning · Computer Science 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

We present a method for generating training data for reinforcement learning with verifiable rewards to improve small open-weights language models on mathematical tasks. Existing data generation approaches rely on open-loop pipelines and…

Machine Learning · Computer Science 2026-02-24 Teresa Yeo , Myeongho Jeon , Dulaj Weerakoon , Rui Qiao , Alok Prakash , Armando Solar-Lezama , Archan Misra

Symbolic regression (SR) aims to discover the underlying mathematical expressions that explain observed data. This holds promise for both gaining scientific insight and for producing inherently interpretable and generalizable models for…

Machine Learning · Computer Science 2026-02-05 David Otte , Jörg K. H. Franke , Arbër Zela , Fábio Ferreira , Frank Hutter

In this thesis we propose new methods for crossover operator namely: cut on worst gene (COWGC), cut on worst L+R gene (COWLRGC) and Collision Crossovers. And also we propose several types of mutation operator such as: worst gene with random…

Neural and Evolutionary Computing · Computer Science 2018-01-26 Esra'a O Alkafaween

Genetic Programming (GP) has found various applications. Understanding this type of algorithm from a theoretical point of view is a challenging task. The first results on the computational complexity of GP have been obtained for problems…

Neural and Evolutionary Computing · Computer Science 2011-05-09 Markus Wagner , Frank Neumann

Genetic programming is an often-used technique for symbolic regression: finding symbolic expressions that match data from an unknown function. To make the symbolic regression more efficient, one can also use dimensionally-aware genetic…

Neural and Evolutionary Computing · Computer Science 2020-04-28 Marko Durasevic , Domagoj Jakobovic , Marcella Scoczynski Ribeiro Martins , Stjepan Picek , Markus Wagner

The computational models for geophysical flows are computationally very expensive to employ in multi-query tasks such as data assimilation, uncertainty quantification, and hence surrogate models sought to alleviate the computational burden…

Computational Physics · Physics 2022-01-10 Suraj Pawar , Omer San , Gary G. Yen

Beagle is a new software framework that enables execution of Genetic Programming tasks on the GPU. Currently available for symbolic regression, it processes individuals of the population and fitness cases for training in a way that…

Neural and Evolutionary Computing · Computer Science 2026-03-16 Nathan Haut , Ilya Basin , Marzieh Kianinejad , Ruchika Gupta , Elijah Smith , Zachary Perrico , Wolfgang Banzhaf

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

Transformer language models can generate strikingly natural text by modeling language as a sequence of tokens, but by relying primarily on surface-level co-occurrence statistics they fail to form globally consistent latent representations…

Computation and Language · Computer Science 2026-01-14 Nasim Borazjanizadeh , James McClelland

The dynamic multi-mode resource-constrained project scheduling problem (DMRCPSP) is of practical importance, as it requires making real-time decisions under changing project states and resource availability. Genetic Programming (GP) has…

Neural and Evolutionary Computing · Computer Science 2026-03-18 Yuan Tian , Yi Mei , Mengjie Zhang

Retrieval-augmented generation improves large language models by grounding outputs in external knowledge sources, reducing hallucinations and addressing knowledge cutoffs. However, standard embedding-based retrieval fails to capture the…

Information Retrieval · Computer Science 2025-12-23 Markus Ekvall , Ludvig Bergenstråhle , Patrick Truong , Ben Murrell , Joakim Lundeberg

Deep learning based approaches have been utilized to model and generate graphs subjected to different distributions recently. However, they are typically unsupervised learning based and unconditioned generative models or simply conditioned…

Machine Learning · Computer Science 2023-08-29 Shanchao Yang , Jing Liu , Kai Wu , Mingming Li

Graph Neural Networks (GNN) are a promising technique for bridging differential programming and combinatorial domains. GNNs employ trainable modules which can be assembled in different configurations that reflect the relational structure of…

Machine Learning · Computer Science 2018-11-19 Marcelo O. R. Prates , Pedro H. C. Avelar , Henrique Lemos , Luis Lamb , Moshe Vardi

Genetic Programming, a kind of evolutionary computation and machine learning algorithm, is shown to benefit significantly from the application of vectorized data and the TensorFlow numerical computation library on both CPU and GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-11 Kai Staats , Edward Pantridge , Marco Cavaglia , Iurii Milovanov , Arun Aniyan