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GryphOne: Symbol-Aware Masked Diffusion for Structural Refinement in Offline Handwritten Mathematical Expression Recognition

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Handwritten mathematical expression recognition (HMER) requires reasoning over diverse symbols and structures, yet autoregressive models struggle with exposure bias and syntax inconsistency. We present GryphOne, a discrete diffusion framework which reformulates HMER as iterative symbolic refinement instead of sequential generation. GryphOne progressively refines symbols and relations, removing autoregression and improving consistency. Symbol-aware tokenization and random-masking mutual learning further enhance robustness to handwriting diversity. On the MathWriting benchmark, GryphOne achieves 5.51% CER and 59.9% EM (ExpRate), outperforming all reimplemented models in the matched setting as well as the commercial HMER system. Held-out evaluation on CROHME 2014-2023 further shows strong cross-dataset generalization.

Takaya Kawakatsu, Ryo Ishiyama• 2026

Related benchmarks

TaskDatasetResultRank
Handwritten Mathematical Expression RecognitionCROHME 2014--
47
Handwritten Mathematical Expression RecognitionCROHME 2016
Expression Rate63.23
40
Handwritten Mathematical Expression RecognitionCROHME 2019
ExpRate60.66
39
Handwritten Mathematical Expression RecognitionCROHME 2023 (test)
Expression Rate60.78
11
Mathematical Expression RecognitionMathWriting 1.0 (test)
CER5.55
9
Mathematical Expression RecognitionMathWriting 1.0 (val)
CER4.7
9
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