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Multi-Scale Attention with Dense Encoder for Handwritten Mathematical Expression Recognition

About

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.

Jianshu Zhang, Jun Du, Lirong Dai• 2018

Related benchmarks

TaskDatasetResultRank
Handwritten Mathematical Expression RecognitionCROHME 2016 (test)
Expression Rate (Exp)55.97
164
Handwritten Mathematical Expression RecognitionCROHME 2014 (test)
Expression Rate (Exp)57.97
156
Handwritten Mathematical Expression RecognitionCROHME 2019 (test)
Expression Rate (Exp)56.05
107
Handwritten Mathematical Expression RecognitionCROHME 2014
Error Rate50.1
47
Handwritten Mathematical Expression RecognitionCROHME 2016
Expression Rate50.1
40
Handwritten Mathematical Expression RecognitionCROHME 2019
ExpRate47.7
39
Handwritten Mathematical Expression RecognitionHME100K
ExpRate61.85
17
Handwritten Mathematical Expression RecognitionHME100K 1.0 (test)
Expression Rate0.6185
9
Handwritten Mathematical Expression RecognitionM2E multi-line (test)
ExpRate53.14
8
Handwritten Mathematical Expression RecognitionCROHME Average 2014/2016/2019
ExpRate0.4917
5
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