mlsanityData to 7 Oct 2026

Handwritten Mathematical Expression Recognition with Bidirectionally Trained Transformer

arXiv 2105.02412 ↗First posted 6 May 2021cs.CVcited by 34

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Abstract (arXiv)

Encoder-decoder models have made great progress on handwritten mathematical expression recognition recently. However, it is still a challenge for existing methods to assign attention to image features accurately. Moreover, those encoder-decoder models usually adopt RNN-based models in their decoder part, which makes them inefficient in processing long LaTeX sequences. In this paper, a transformer-based decoder is employed to replace RNN-based ones, which makes the whole model architecture very concise. Furthermore, a novel training strategy is introduced to fully exploit the potential of the transformer in bidirectional language modeling. Compared to several methods that do not use data augmentation, experiments demonstrate that our model improves the ExpRate of current state-of-the-art methods on CROHME 2014 by 2.23%. Similarly, on CROHME 2016 and CROHME 2019, we improve the ExpRate by 1.92% and 2.28% respectively.

Key facts. Cited by 34 papers in the map (data through 7 Oct 2026). Builds on 19 of its 50 references that are in the map. First posted on arXiv 6 May 2021.

Builds on

19 of 50 references.

References · 19

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  3. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
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7 more
  1. 2020Pay Attention to What You Read: Non-recurrent Handwritten Text-Line Recognitioncited by 71
  2. 2018Regularizing Neural Machine Translation by Target-bidirectional Agreementcited by 40
  3. 2018Multi-Scale Attention with Dense Encoder for Handwritten Mathematical Expression Recognitioncited by 36
  4. 2019Synchronous Bidirectional Neural Machine Translationcited by 27
  5. 2019Automatic Generation of Headlines for Online Math Questionscited by 10
  6. 2020ConvMath: A Convolutional Sequence Network for Mathematical Expression Recognitioncited by 9
  7. 2018Mathematics Content Understanding for Cyberlearning via Formula Evolution Mapcited by 3

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 1; 2022: 5; 2023: 4; 2024: 10; 2025: 8; 2026: 6.

34 papers.

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  1. 2023Nougat: Neural Optical Understanding for Academic Documentscited by 240
  2. 2022Syntax-Aware Network for Handwritten Mathematical Expression Recognitioncited by 68
  3. 2022DAN: a Segmentation-free Document Attention Network for Handwritten Document Recognitioncited by 62
  4. 2024UniMERNet: A Universal Network for Real-World Mathematical Expression Recognitioncited by 41
  5. 2024Image Over Text: Transforming Formula Recognition Evaluation with Character Detection Matchingcited by 39
  6. 2022When Counting Meets HMER: Counting-Aware Network for Handwritten Mathematical Expression Recognitioncited by 35
  7. 2022CoMER: Modeling Coverage for Transformer-based Handwritten Mathematical Expression Recognitioncited by 24
  8. 2021Handwritten Mathematical Expression Recognition via Attention Aggregation based Bi-directional Mutual Learningcited by 20
  9. 2024PosFormer: Recognizing Complex Handwritten Mathematical Expression with Position Forest Transformercited by 18
  10. 2024TAMER: Tree-Aware Transformer for Handwritten Mathematical Expression Recognitioncited by 9
  11. 2026Towards Real-World Document Parsing via Realistic Scene Synthesis and Document-Aware Trainingcited by 7
  12. 2025PP-FormulaNet: Bridging Accuracy and Efficiency in Advanced Formula Recognitioncited by 6
22 more
  1. 2024Multi-Cell Decoder and Mutual Learning for Table Structure and Character Recognitioncited by 5
  2. 2023Semantic Graph Representation Learning for Handwritten Mathematical Expression Recognitioncited by 4
  3. 2024ICAL: Implicit Character-Aided Learning for Enhanced Handwritten Mathematical Expression Recognitioncited by 4
  4. 2025Uni-MuMER: Unified Multi-Task Fine-Tuning of Vision-Language Model for Handwritten Mathematical Expression Recognitioncited by 3
  5. 2024Local and Global Graph Modeling with Edge-weighted Graph Attention Network for Handwritten Mathematical Expression Recognitioncited by 2
  6. 2022Offline Handwritten Mathematical Recognition using Adversarial Learning and Transformerscited by 1
  7. 2023Bidirectional Trained Tree-Structured Decoder for Handwritten Mathematical Expression Recognitioncited by 1
  8. 2024PEaCE: A Chemistry-Oriented Dataset for Optical Character Recognition on Scientific Documentscited by 1
  9. 2024RFL: Simplifying Chemical Structure Recognition with Ring-Free Languagecited by 1
  10. 2025MMHMER:Multi-viewer and Multi-task for Handwritten Mathematical Expression Recognitioncited by 1
  11. 2025MFH: Marrying Frequency Domain with Handwritten Mathematical Expression Recognitioncited by 1
  12. 2025The Return of Structural Handwritten Mathematical Expression Recognitioncited by 1
  13. 2026GryphOne: Symbol-Aware Masked Diffusion for Structural Refinement in Offline Handwritten Mathematical Expression Recognitioncited by 1
  14. 2023DenseBAM-GI: Attention Augmented DeneseNet with momentum aided GRU for HMERcited by 0
  15. 2024Attention Guidance Mechanism for Handwritten Mathematical Expression Recognitioncited by 0
  16. 2025Mask & Match: Learning to Recognize Handwritten Math with Self-Supervised Attentioncited by 0
  17. 2025Link prediction Graph Neural Networks for structure recognition of Handwritten Mathematical Expressionscited by 0
  18. 2025Hierarchical Modeling Approach to Fast and Accurate Table Recognitioncited by 0
  19. 2026Texo: Formula Recognition within 20M Parameterscited by 0
  20. 2026DiffMath: Symbol- and Graph-Aware Latent Diffusion Transformer for Handwritten Mathematical Expression Generationcited by 0
  21. 2026OmniHandwritingOCR: A Diagnostic Benchmark for Evaluating Multimodal LLMs in Handwritten OCR Scenarioscited by 0
  22. 2026PA-CDM: Position-Aware Character Detection Matching for Evaluating Handwritten Mathematical Expression Recognitioncited by 0