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Invariant Representation of Mathematical Expressions

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arxiv 1805.12495 v2 pith:W6PR5C3F submitted 2018-05-29 cs.AI

classification cs.AI
keywords expressionsmathematicalinvariantrepresentationstringsbettercomparisoncorrespond
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While there exist many methods in machine learning for comparison of letter string data, most are better equipped to handle strings that represent natural language, and their performance will not hold up when presented with strings that correspond to mathematical expressions. Based on the graphical representation of the expression tree, here we propose a simple method for encoding such expressions that is only sensitive to their structural properties, and invariant to the specifics which can vary between two seemingly different, but semantically similar mathematical expressions.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Probabilistic Symbolic Regression for Equation Discovery via Operator-induced and Regularized Symbolic Forests

    stat.ME 2025-09 conditional novelty 7.0 of 10

    A hierarchical Bayesian symbolic regression framework (HierBOSSS) with tree-based expression priors, Occam-window model selection, and posterior concentration rates at near-parametric and near-minimax speeds.

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