Tereso del Río

dblp:323/5200 · also Tereso del Rio Almajano · DBLP profile ↗
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2ranked-venue papers
1as first author
2since 2021 · last 2024
0000-0003-3769-5478ORCID · corroborated

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 2 · 1 first-author · 2 since 2021
YearPublicationVenuePosition
2024 Explainable AI Insights for Symbolic Computation: A case study on selecting the variable ordering for cylindrical algebraic decomposition
abstract
In recent years there has been increased use of machine learning (ML) techniques within mathematics, including symbolic computation where it may be applied safely to optimise or select algorithms. This paper explores whether using explainable AI (XAI) techniques on such ML models can offer new insight for symbolic computation, inspiring new implementations within computer algebra systems that do not directly call upon AI tools. We present a case study on the use of ML to select the variable ordering for cylindrical algebraic decomposition. It has already been demonstrated that ML can make the choice well, but here we show how the SHAP tool for explainability can be used to inform new heuristics of a size and complexity similar to those human-designed heuristics currently commonly used in symbolic computation.
Lynn Pickering, Tereso del Río, Matthew England 0001, Kelly Cohen
J. Symb. Comput.2
2022 New Heuristic to Choose a Cylindrical Algebraic Decomposition Variable Ordering Motivated by Complexity Analysis
Tereso del Río, Matthew England 0001
CASC1