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20102025
most citedAbelian functions associated with genus three algebraic curves

6 citations · 9 across the 8 of their papers we have counts for

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5 papers · 1 filter

cs.LG2024

Transformers to Predict the Applicability of Symbolic Integration Routines

Rashid Barket, Uzma Shafiq, Matthew England +1

Symbolic integration is a fundamental problem in mathematics: we consider how machine learning may be used to optimise this task in a Computer Algebra System (CAS). We train transf…

cs.SC2024★ 1 cited

Recent Developments in Real Quantifier Elimination and Cylindrical Algebraic Decomposition

Matthew England

This extended abstract accompanies an invited talk at CASC 2024, which surveys recent developments in Real Quantifier Elimination (QE) and Cylindrical Algebraic Decomposition (CAD)…

cs.SC2024★ 2 cited

The Liouville Generator for Producing Integrable Expressions

Rashid Barket, Matthew England, Jürgen Gerhard

There has been a growing need to devise processes that can create comprehensive datasets in the world of Computer Algebra, both for accurate benchmarking and for new intersections…

cs.SC2024

Constrained Neural Networks for Interpretable Heuristic Creation to Optimise Computer Algebra Systems

Dorian Florescu, Matthew England

We present a new methodology for utilising machine learning technology in symbolic computation research. We explain how a well known human-designed heuristic to make the choice of…

cs.LG2024

Symbolic Integration Algorithm Selection with Machine Learning: LSTMs vs Tree LSTMs

Rashid Barket, Matthew England, Jürgen Gerhard

Computer Algebra Systems (e.g. Maple) are used in research, education, and industrial settings. One of their key functionalities is symbolic integration, where there are many sub-a…