Semantically-Aligned Equation Generation for Solving and Reasoning Math Word Problems
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Abstract (arXiv)
Solving math word problems is a challenging task that requires accurate natural language understanding to bridge natural language texts and math expressions. Motivated by the intuition about how human generates the equations given the problem texts, this paper presents a neural approach to automatically solve math word problems by operating symbols according to their semantic meanings in texts. This paper views the process of generating equation as a bridge between the semantic world and the symbolic world, where the proposed neural math solver is based on an encoder-decoder framework. In the proposed model, the encoder is designed to understand the semantics of problems, and the decoder focuses on tracking semantic meanings of the generated symbols and then deciding which symbol to generate next. The preliminary experiments are conducted in a dataset Math23K, and our model significantly outperforms both the state-of-the-art single model and the best non-retrieval-based model over about 10% accuracy, demonstrating the effectiveness of bridging the symbolic and semantic worlds from math word problems.
Key facts. Cited by 49 papers in the map (data through 14 Oct 2026). First posted on arXiv 2 Nov 2018.
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Citing papers per year: 2021: 10; 2022: 19; 2023: 7; 2024: 8; 2025: 3; 2026: 2.
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- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2023Symbolic Chain-of-Thought Distillation: Small Models Can Also "Think" Step-by-Stepcited by 148
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- 2021MWPToolkit: An Open-Source Framework for Deep Learning-Based Math Word Problem Solverscited by 39
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- 2021Adversarial Examples for Evaluating Math Word Problem Solverscited by 20
- 2023Code Prompting: a Neural Symbolic Method for Complex Reasoning in Large Language Modelscited by 16
- 2024Enhancing Mathematical Reasoning in LLMs by Stepwise Correctioncited by 16
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- 2022JiuZhang: A Chinese Pre-trained Language Model for Mathematical Problem Understandingcited by 15
- 2024SciDoc2Diagrammer-MAF: Towards Generation of Scientific Diagrams from Documents guided by Multi-Aspect Feedback Refinementcited by 15
- 2022ELASTIC: Numerical Reasoning with Adaptive Symbolic Compilercited by 14
- 2021Recall and Learn: A Memory-augmented Solver for Math Word Problemscited by 13
- 2022Multi-View Reasoning: Consistent Contrastive Learning for Math Word Problemcited by 13
- 2024cPAPERS: A Dataset of Situated and Multimodal Interactive Conversations in Scientific Paperscited by 11
- 2022Self-consistent Reasoning For Solving Math Word Problemscited by 10
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- 2022Practice Makes a Solver Perfect: Data Augmentation for Math Word Problem Solverscited by 9
- 2022Why are NLP Models Fumbling at Elementary Math? A Survey of Deep Learning based Word Problem Solverscited by 9
- 2022Generalizing Math Word Problem Solvers via Solution Diversificationcited by 7
- 2022Towards Robust Numerical Question Answering: Diagnosing Numerical Capabilities of NLP Systemscited by 6
- 2022Semantic-based Data Augmentation for Math Word Problemscited by 5
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- 2025Empowering Bengali Education with AI: Solving Bengali Math Word Problems through Transformer Modelscited by 3
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- 2021WARM: A Weakly (+Semi) Supervised Model for Solving Math word Problemscited by 1
- 2026Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discoverycited by 1
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- 2026SciText2Eq: Assessing LLMs for Explainable Equation Generation for Scientific Creativity14 Jun 2026
- 2026Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery7 Jun 2026
- 2025Rethinking Reasoning in LLMs: Neuro-Symbolic Local RetoMaton Beyond ICL and CoT22 Aug 2025
- 2025Teaching Large Language Models Number-Focused Headline Generation With Key Element Rationales5 Feb 2025
- 2025Empowering Bengali Education with AI: Solving Bengali Math Word Problems through Transformer Models5 Jan 2025
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37 more
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- 2023Expression Syntax Information Bottleneck for Math Word Problems24 Oct 2023
- 2023An Expression Tree Decoding Strategy for Mathematical Equation Generation14 Oct 2023
- 2023Symbolic Chain-of-Thought Distillation: Small Models Can Also "Think" Step-by-Step24 Jun 2023
- 2023JiuZhang 2.0: A Unified Chinese Pre-trained Language Model for Multi-task Mathematical Problem Solving19 Jun 2023
- 2023Code Prompting: a Neural Symbolic Method for Complex Reasoning in Large Language Models29 May 2023
- 2023Doc2SoarGraph: Discrete Reasoning over Visually-Rich Table-Text Documents via Semantic-Oriented Hierarchical Graphs3 May 2023
- 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec 2022
- 2022Generalizing Math Word Problem Solvers via Solution Diversification1 Dec 2022
- 2022Teaching Algorithmic Reasoning via In-context Learning15 Nov 2022
- 2022Towards Robust Numerical Question Answering: Diagnosing Numerical Capabilities of NLP Systems14 Nov 2022
- 2022Self-consistent Reasoning For Solving Math Word Problems27 Oct 2022
- 2022Structure-Unified M-Tree Coding Solver for MathWord Problem22 Oct 2022
- 2022Multi-View Reasoning: Consistent Contrastive Learning for Math Word Problem21 Oct 2022
- 2022ELASTIC: Numerical Reasoning with Adaptive Symbolic Compiler18 Oct 2022
- 2022Improving Compositional Generalization in Math Word Problem Solving3 Sep 2022
- 2022Heterogeneous Line Graph Transformer for Math Word Problems11 Aug 2022
- 2022Towards Complex Document Understanding By Discrete Reasoning25 Jul 2022
- 2022JiuZhang: A Chinese Pre-trained Language Model for Mathematical Problem Understanding13 Jun 2022
- 2022Why are NLP Models Fumbling at Elementary Math? A Survey of Deep Learning based Word Problem Solvers31 May 2022
- 2022Tackling Math Word Problems with Fine-to-Coarse Abstracting and Reasoning17 May 2022
- 2022LogicSolver: Towards Interpretable Math Word Problem Solving with Logical Prompt-enhanced Learning17 May 2022
- 2022Practice Makes a Solver Perfect: Data Augmentation for Math Word Problem Solvers30 Apr 2022
- 2022Learning to Reason Deductively: Math Word Problem Solving as Complex Relation Extraction19 Mar 2022
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Models28 Jan 2022
- 2022Semantic-based Data Augmentation for Math Word Problems7 Jan 2022
- 2021Training Verifiers to Solve Math Word Problems27 Oct 2021
- 2021Recall and Learn: A Memory-augmented Solver for Math Word Problems27 Sep 2021
- 2021Adversarial Examples for Evaluating Math Word Problem Solvers13 Sep 2021
- 2021Math Word Problem Generation with Mathematical Consistency and Problem Context Constraints9 Sep 2021
- 2021NumGPT: Improving Numeracy Ability of Generative Pre-trained Models7 Sep 2021
- 2021Generate & Rank: A Multi-task Framework for Math Word Problems7 Sep 2021
- 2021MWPToolkit: An Open-Source Framework for Deep Learning-Based Math Word Problem Solvers2 Sep 2021
- 2021MWP-BERT: Numeracy-Augmented Pre-training for Math Word Problem Solving28 Jul 2021
- 2021Neural-Symbolic Solver for Math Word Problems with Auxiliary Tasks3 Jul 2021
- 2021WARM: A Weakly (+Semi) Supervised Model for Solving Math word Problems14 Apr 2021
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2023Symbolic Chain-of-Thought Distillation: Small Models Can Also "Think" Step-by-Stepcited by 148
- 2024Multi-Step Reasoning with Large Language Models, a Surveycited by 143
- 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
- 2022Teaching Algorithmic Reasoning via In-context Learningcited by 112
- 2022Learning to Reason Deductively: Math Word Problem Solving as Complex Relation Extractioncited by 44
- 2023Code Prompting: a Neural Symbolic Method for Complex Reasoning in Large Language Modelscited by 16
- 2024Enhancing Mathematical Reasoning in LLMs by Stepwise Correctioncited by 16
- 2022ELASTIC: Numerical Reasoning with Adaptive Symbolic Compilercited by 14
- 2023JiuZhang 2.0: A Unified Chinese Pre-trained Language Model for Multi-task Mathematical Problem Solvingcited by 2
- 2026Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discoverycited by 1
- 2025Rethinking Reasoning in LLMs: Neuro-Symbolic Local RetoMaton Beyond ICL and CoTcited by 0
- 2026Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery7 Jun 2026
- 2025Rethinking Reasoning in LLMs: Neuro-Symbolic Local RetoMaton Beyond ICL and CoT22 Aug 2025
- 2024Enhancing Mathematical Reasoning in LLMs by Stepwise Correction16 Oct 2024
- 2024Multi-Step Reasoning with Large Language Models, a Survey16 Jul 2024
- 2023Symbolic Chain-of-Thought Distillation: Small Models Can Also "Think" Step-by-Step24 Jun 2023
- 2023JiuZhang 2.0: A Unified Chinese Pre-trained Language Model for Multi-task Mathematical Problem Solving19 Jun 2023
- 2023Code Prompting: a Neural Symbolic Method for Complex Reasoning in Large Language Models29 May 2023
- 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec 2022
- 2022Teaching Algorithmic Reasoning via In-context Learning15 Nov 2022
- 2022ELASTIC: Numerical Reasoning with Adaptive Symbolic Compiler18 Oct 2022
- 2022Learning to Reason Deductively: Math Word Problem Solving as Complex Relation Extraction19 Mar 2022
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Models28 Jan 2022
- 2024LLM Harmony: Multi-Agent Communication for Problem Solvingcited by 35
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2021Generate & Rank: A Multi-task Framework for Math Word Problemscited by 82
- 2022Towards Complex Document Understanding By Discrete Reasoningcited by 82
- 2021MWPToolkit: An Open-Source Framework for Deep Learning-Based Math Word Problem Solverscited by 39
- 2021Neural-Symbolic Solver for Math Word Problems with Auxiliary Taskscited by 38
- 2021MWP-BERT: Numeracy-Augmented Pre-training for Math Word Problem Solvingcited by 32
- 2021Math Word Problem Generation with Mathematical Consistency and Problem Context Constraintscited by 27
- 2022LogicSolver: Towards Interpretable Math Word Problem Solving with Logical Prompt-enhanced Learningcited by 24
- 2021Adversarial Examples for Evaluating Math Word Problem Solverscited by 20
- 2021NumGPT: Improving Numeracy Ability of Generative Pre-trained Modelscited by 15
- 2022JiuZhang: A Chinese Pre-trained Language Model for Mathematical Problem Understandingcited by 15
- 2024SciDoc2Diagrammer-MAF: Towards Generation of Scientific Diagrams from Documents guided by Multi-Aspect Feedback Refinementcited by 15
12 most cited of 36 All 36 (JSON)
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- 2024SciDoc2Diagrammer-MAF: Towards Generation of Scientific Diagrams from Documents guided by Multi-Aspect Feedback Refinement28 Sep 2024
- 2024Infer Human's Intentions Before Following Natural Language Instructions26 Sep 2024
- 2024cPAPERS: A Dataset of Situated and Multimodal Interactive Conversations in Scientific Papers12 Jun 2024
- 2024Data Augmentation with In-Context Learning and Comparative Evaluation in Math Word Problem Solving5 Apr 2024
- 2024Survey of Natural Language Processing for Education: Taxonomy, Systematic Review, and Future Trends15 Jan 2024
- 2023In-Context Ability Transfer for Question Decomposition in Complex QA26 Oct 2023
- 2023Expression Syntax Information Bottleneck for Math Word Problems24 Oct 2023
- 2023An Expression Tree Decoding Strategy for Mathematical Equation Generation14 Oct 2023
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12 newest of 36 All 36 (JSON)