Multi-Scale Attention with Dense Encoder for Handwritten Mathematical Expression Recognition
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Abstract (arXiv)
Handwritten mathematical expression recognition is a challenging problem due to the complicated two-dimensional structures, ambiguous handwriting input and variant scales of handwritten math symbols. To settle this problem, we utilize the attention based encoder-decoder model that recognizes mathematical expression images from two-dimensional layouts to one-dimensional LaTeX strings. We improve the encoder by employing densely connected convolutional networks as they can strengthen feature extraction and facilitate gradient propagation especially on a small training set. We also present a novel multi-scale attention model which is employed to deal with the recognition of math symbols in different scales and save the fine-grained details that will be dropped by pooling operations. Validated on the CROHME competition task, the proposed method significantly outperforms the state-of-the-art methods with an expression recognition accuracy of 52.8% on CROHME 2014 and 50.1% on CROHME 2016, by only using the official training dataset.
Key facts. Cited by 36 papers in the map (data through 14 Oct 2026). First posted on arXiv 5 Jan 2018.
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Citing papers per year: 2021: 5; 2022: 5; 2023: 11; 2024: 7; 2025: 6; 2026: 2.
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- 2023Nougat: Neural Optical Understanding for Academic Documentscited by 245
- 2024OmniDocBench: Benchmarking Diverse PDF Document Parsing with Comprehensive Annotationscited by 150
- 2022Syntax-Aware Network for Handwritten Mathematical Expression Recognitioncited by 68
- 2023Conditional Text Image Generation with Diffusion Modelscited by 58
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- 2024UniMERNet: A Universal Network for Real-World Mathematical Expression Recognitioncited by 42
- 2022When Counting Meets HMER: Counting-Aware Network for Handwritten Mathematical Expression Recognitioncited by 35
- 2021Handwritten Mathematical Expression Recognition with Bidirectionally Trained Transformercited by 34
- 2022CoMER: Modeling Coverage for Transformer-based Handwritten Mathematical Expression Recognitioncited by 24
- 2021Handwritten Mathematical Expression Recognition via Attention Aggregation based Bi-directional Mutual Learningcited by 20
- 2024PosFormer: Recognizing Complex Handwritten Mathematical Expression with Position Forest Transformercited by 18
- 2024TAMER: Tree-Aware Transformer for Handwritten Mathematical Expression Recognitioncited by 9
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- 2023A Unified Representation Framework for the Evaluation of Optical Music Recognition Systemscited by 7
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- 2023Semantic Graph Representation Learning for Handwritten Mathematical Expression Recognitioncited by 4
- 2024ICAL: Implicit Character-Aided Learning for Enhanced Handwritten Mathematical Expression Recognitioncited by 4
- 2021Unsupervised Training Data Generation of Handwritten Formulas using Generative Adversarial Networks with Self-Attentioncited by 3
- 2025Uni-MuMER: Unified Multi-Task Fine-Tuning of Vision-Language Model for Handwritten Mathematical Expression Recognitioncited by 3
- 2021CALText: Contextual Attention Localization for Offline Handwritten Textcited by 2
- 2026SEA-Vision: A Multilingual Benchmark for Comprehensive Document and Scene Text Understanding in Southeast Asiacited by 2
- 2021Evaluation of Automated Image Descriptions for Visually Impaired Studentscited by 1
- 2022Offline Handwritten Mathematical Recognition using Adversarial Learning and Transformerscited by 1
- 2023Recognizing Handwritten Mathematical Expressions of Vertical Addition and Subtractioncited by 1
- 2023Bidirectional Trained Tree-Structured Decoder for Handwritten Mathematical Expression Recognitioncited by 1
- 2024RFL: Simplifying Chemical Structure Recognition with Ring-Free Languagecited by 1
- 2025MMHMER:Multi-viewer and Multi-task for Handwritten Mathematical Expression Recognitioncited by 1
- 2025SemiHMER: Semi-supervised Handwritten Mathematical Expression Recognition using pseudo-labelscited by 1
- 2025MFH: Marrying Frequency Domain with Handwritten Mathematical Expression Recognitioncited by 1
- 2022Automated Creation and Human-assisted Curation of Computable Scientific Models from Code and Textcited by 0
- 2023Spatial Attention and Syntax Rule Enhanced Tree Decoder for Offine Handwritten Mathematical Expression Recognitioncited by 0
- 2023DenseBAM-GI: Attention Augmented DeneseNet with momentum aided GRU for HMERcited by 0
- 2023An Intelligent-Detection Network for Handwritten Mathematical Expression Recognitioncited by 0
- 2023Dual Branch Network Towards Accurate Printed Mathematical Expression Recognitioncited by 0
- 2024Attention Guidance Mechanism for Handwritten Mathematical Expression Recognitioncited by 0
- 2025Mask & Match: Learning to Recognize Handwritten Math with Self-Supervised Attentioncited by 0
- 2026A Hybrid Vision Transformer Approach for Mathematical Expression Recognitioncited by 0
- 2026SEA-Vision: A Multilingual Benchmark for Comprehensive Document and Scene Text Understanding in Southeast Asia16 Mar 2026
- 2026A Hybrid Vision Transformer Approach for Mathematical Expression Recognition9 Mar 2026
- 2025Mask & Match: Learning to Recognize Handwritten Math with Self-Supervised Attention8 Aug 2025
- 2025MFH: Marrying Frequency Domain with Handwritten Mathematical Expression Recognition1 Jul 2025
- 2025Uni-MuMER: Unified Multi-Task Fine-Tuning of Vision-Language Model for Handwritten Mathematical Expression Recognition29 May 2025
- 2025PP-FormulaNet: Bridging Accuracy and Efficiency in Advanced Formula Recognition24 Mar 2025
- 2025SemiHMER: Semi-supervised Handwritten Mathematical Expression Recognition using pseudo-labels11 Feb 2025
- 2025MMHMER:Multi-viewer and Multi-task for Handwritten Mathematical Expression Recognition8 Feb 2025
- 2024OmniDocBench: Benchmarking Diverse PDF Document Parsing with Comprehensive Annotations10 Dec 2024
- 2024RFL: Simplifying Chemical Structure Recognition with Ring-Free Language10 Dec 2024
- 2024TAMER: Tree-Aware Transformer for Handwritten Mathematical Expression Recognition16 Aug 2024
- 2024PosFormer: Recognizing Complex Handwritten Mathematical Expression with Position Forest Transformer10 Jul 2024
24 more
- 2024ICAL: Implicit Character-Aided Learning for Enhanced Handwritten Mathematical Expression Recognition15 May 2024
- 2024UniMERNet: A Universal Network for Real-World Mathematical Expression Recognition23 Apr 2024
- 2024Attention Guidance Mechanism for Handwritten Mathematical Expression Recognition4 Mar 2024
- 2023Bidirectional Trained Tree-Structured Decoder for Handwritten Mathematical Expression Recognition31 Dec 2023
- 2023A Unified Representation Framework for the Evaluation of Optical Music Recognition Systems20 Dec 2023
- 2023Dual Branch Network Towards Accurate Printed Mathematical Expression Recognition14 Dec 2023
- 2023An Intelligent-Detection Network for Handwritten Mathematical Expression Recognition26 Nov 2023
- 2023Exploring OCR Capabilities of GPT-4V(ision) : A Quantitative and In-depth Evaluation25 Oct 2023
- 2023Nougat: Neural Optical Understanding for Academic Documents25 Aug 2023
- 2023Semantic Graph Representation Learning for Handwritten Mathematical Expression Recognition21 Aug 2023
- 2023Recognizing Handwritten Mathematical Expressions of Vertical Addition and Subtraction10 Aug 2023
- 2023DenseBAM-GI: Attention Augmented DeneseNet with momentum aided GRU for HMER28 Jun 2023
- 2023Conditional Text Image Generation with Diffusion Models19 Jun 2023
- 2023Spatial Attention and Syntax Rule Enhanced Tree Decoder for Offine Handwritten Mathematical Expression Recognition13 Mar 2023
- 2022Offline Handwritten Mathematical Recognition using Adversarial Learning and Transformers20 Aug 2022
- 2022When Counting Meets HMER: Counting-Aware Network for Handwritten Mathematical Expression Recognition23 Jul 2022
- 2022CoMER: Modeling Coverage for Transformer-based Handwritten Mathematical Expression Recognition10 Jul 2022
- 2022Syntax-Aware Network for Handwritten Mathematical Expression Recognition3 Mar 2022
- 2022Automated Creation and Human-assisted Curation of Computable Scientific Models from Code and Text28 Jan 2022
- 2021Handwritten Mathematical Expression Recognition via Attention Aggregation based Bi-directional Mutual Learning7 Dec 2021
- 2021CALText: Contextual Attention Localization for Offline Handwritten Text6 Nov 2021
- 2021Evaluation of Automated Image Descriptions for Visually Impaired Students29 Jun 2021
- 2021Unsupervised Training Data Generation of Handwritten Formulas using Generative Adversarial Networks with Self-Attention17 Jun 2021
- 2021Handwritten Mathematical Expression Recognition with Bidirectionally Trained Transformer6 May 2021
- 2023Conditional Text Image Generation with Diffusion Modelscited by 58
- 2023Conditional Text Image Generation with Diffusion Models19 Jun 2023
- 2023Nougat: Neural Optical Understanding for Academic Documentscited by 245
- 2022Syntax-Aware Network for Handwritten Mathematical Expression Recognitioncited by 68
- 2023Exploring OCR Capabilities of GPT-4V(ision) : A Quantitative and In-depth Evaluationcited by 46
- 2024UniMERNet: A Universal Network for Real-World Mathematical Expression Recognitioncited by 42
- 2022When Counting Meets HMER: Counting-Aware Network for Handwritten Mathematical Expression Recognitioncited by 35
- 2021Handwritten Mathematical Expression Recognition with Bidirectionally Trained Transformercited by 34
- 2022CoMER: Modeling Coverage for Transformer-based Handwritten Mathematical Expression Recognitioncited by 24
- 2021Handwritten Mathematical Expression Recognition via Attention Aggregation based Bi-directional Mutual Learningcited by 20
- 2024PosFormer: Recognizing Complex Handwritten Mathematical Expression with Position Forest Transformercited by 18
- 2024TAMER: Tree-Aware Transformer for Handwritten Mathematical Expression Recognitioncited by 9
- 2023A Unified Representation Framework for the Evaluation of Optical Music Recognition Systemscited by 7
- 2025PP-FormulaNet: Bridging Accuracy and Efficiency in Advanced Formula Recognitioncited by 7
12 most cited of 33 All 33 (JSON)
- 2026SEA-Vision: A Multilingual Benchmark for Comprehensive Document and Scene Text Understanding in Southeast Asia16 Mar 2026
- 2026A Hybrid Vision Transformer Approach for Mathematical Expression Recognition9 Mar 2026
- 2025Mask & Match: Learning to Recognize Handwritten Math with Self-Supervised Attention8 Aug 2025
- 2025MFH: Marrying Frequency Domain with Handwritten Mathematical Expression Recognition1 Jul 2025
- 2025PP-FormulaNet: Bridging Accuracy and Efficiency in Advanced Formula Recognition24 Mar 2025
- 2025SemiHMER: Semi-supervised Handwritten Mathematical Expression Recognition using pseudo-labels11 Feb 2025
- 2025MMHMER:Multi-viewer and Multi-task for Handwritten Mathematical Expression Recognition8 Feb 2025
- 2024RFL: Simplifying Chemical Structure Recognition with Ring-Free Language10 Dec 2024
- 2024TAMER: Tree-Aware Transformer for Handwritten Mathematical Expression Recognition16 Aug 2024
- 2024PosFormer: Recognizing Complex Handwritten Mathematical Expression with Position Forest Transformer10 Jul 2024
- 2024ICAL: Implicit Character-Aided Learning for Enhanced Handwritten Mathematical Expression Recognition15 May 2024
- 2024UniMERNet: A Universal Network for Real-World Mathematical Expression Recognition23 Apr 2024
12 newest of 33 All 33 (JSON)