Solving Math Word Problems with Double-Decoder Transformer
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Abstract (arXiv)
This paper proposes a Transformer-based model to generate equations for math word problems. It achieves much better results than RNN models when copy and align mechanisms are not used, and can outperform complex copy and align RNN models. We also show that training a Transformer jointly in a generation task with two decoders, left-to-right and right-to-left, is beneficial. Such a Transformer performs better than the one with just one decoder not only because of the ensemble effect, but also because it improves the encoder training procedure. We also experiment with adding reinforcement learning to our model, showing improved performance compared to MLE training.
Key facts. Cited by 7 papers in the map (data through 13 Oct 2026). First posted on arXiv 28 Aug 2019.
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Citing papers per year: 2021: 1; 2022: 1; 2023: 2; 2024: 2; 2025: 0; 2026: 1.
7 papers.
- 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
- 2023Length Generalization in Arithmetic Transformerscited by 65
- 2021Linear algebra with transformerscited by 63
- 2023Learning the greatest common divisor: explaining transformer predictionscited by 33
- 2024Salsa Fresca: Angular Embeddings and Pre-Training for ML Attacks on Learning With Errorscited by 7
- 2026Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discoverycited by 1
- 2024Data Augmentation with In-Context Learning and Comparative Evaluation in Math Word Problem Solvingcited by 0
- 2026Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery7 Jun 2026
- 2024Data Augmentation with In-Context Learning and Comparative Evaluation in Math Word Problem Solving5 Apr 2024
- 2024Salsa Fresca: Angular Embeddings and Pre-Training for ML Attacks on Learning With Errors2 Feb 2024
- 2023Learning the greatest common divisor: explaining transformer predictions29 Aug 2023
- 2023Length Generalization in Arithmetic Transformers27 Jun 2023
- 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec 2022
- 2021Linear algebra with transformers3 Dec 2021