Papers with math word problem
Recall and Learn: A Memory-augmented Solver for Math Word Problems (2021.findings-emnlp)
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| Challenge: | Existing methods for solving math word problems are based on template-based generation which results in limited generalization capability. |
| Approach: | They propose a human-like analogical learning method for the math word problem . it uses modules of memory, representation, analogy, and reasoning to make a new exercise . |
| Outcome: | The proposed method outperforms state-of-the-art models on two well-known datasets. |
Translating a Math Word Problem to a Expression Tree (D18-1)
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| Challenge: | Sequence-to-sequence (SEQ2SEQ) models have been successfully applied to automatic math word problem solving. |
| Approach: | They propose an equation normalization method to normalize duplicated equations and propose an ensemble model to combine their advantages. |
| Outcome: | The proposed model outperforms the previous state-of-the-art models on the math word problem solving. |
Learning to Paraphrase for Alignment with LLM Preference (2024.findings-emnlp)
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| Challenge: | Large Language Models (LLMs) exhibit the issue of paraphrase divergence, which means that when a question is phrased in a slightly different but semantically similar way, LLM may output a wrong response . retraining faces challenges in meeting the computational costs and privacy security demands of LLMs. |
| Approach: | They propose a black-box method that enhances model performance by paraphrasing questions in expressions preferred by the model. |
| Outcome: | The proposed method improves performance by paraphrasing questions in expressions preferred by the model. |
PTD-SQL: Partitioning and Targeted Drilling with LLMs in Text-to-SQL (2024.emnlp-main)
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| Challenge: | Large Language Models (LLMs) are powerful tools for Text-to-SQL tasks . SQL solutions have a relatively fixed pattern, allowing for categorical thinking . |
| Approach: | They propose that query group partitioning allows LLMs to focus on learning the thought processes specific to a single problem type, thus enhancing their reasoning abilities across diverse difficulty levels and problem categories. |
| Outcome: | The proposed model outperforms state-of-the-art models on the Spider and BIRD datasets. |
Solving Math Word Problems via Cooperative Reasoning induced Language Models (2023.acl-long)
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Xinyu Zhu, Junjie Wang, Lin Zhang, Yuxiang Zhang, Yongfeng Huang, Ruyi Gan, Jiaxing Zhang, Yujiu Yang
| Challenge: | Large-scale pre-trained language models (PLMs) can be used to solve math word problems, but they lack fast adaptivity as humans. |
| Approach: | They propose a cooperative reasoning-induced PLM for solving the math word problem . they use system 1 as the generator and system 2 as the verifier to generate reasoning paths . |
| Outcome: | The proposed model improves on several mathematical reasoning datasets and achieves 9.6% improvement over baselines. |
Graph-to-Tree Neural Networks for Learning Structured Input-Output Translation with Applications to Semantic Parsing and Math Word Problem (2020.findings-emnlp)
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| Challenge: | Graph2Tree model encodes graph-structured input and decodes tree-structures output. |
| Approach: | They propose a novel Graph-to-Tree Neural Network consisting of a graph encoder and a hierarchical tree decoder that encodes an augmented graph-structured input and decodes a tree-structure-output. |
| Outcome: | The proposed model outperforms or matches the performance of other state-of-the-art models on two problems, neural semantic parsing and math word problem. |
Automatic Generation of Socratic Subquestions for Teaching Math Word Problems (2022.emnlp-main)
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| Challenge: | We hypothesize that questioning can enhance human performance and assist solvers . |
| Approach: | They propose to use large language models to generate sequential questions for math word problem-solving . they propose to apply these models to a variety of math word problems . |
| Outcome: | The proposed model improves the performance of a math word problem solver by generating more questions than other models. |
EPT-X: An Expression-Pointer Transformer model that generates eXplanations for numbers (2022.acl-long)
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| Challenge: | Existing neural approaches to solve algebraic word problems have a plausible answer, but this belief has less been verified due to Q. |
| Approach: | They propose a neural model EPT-X which utilizes natural language explanations to solve an algebraic word problem. |
| Outcome: | The proposed model achieves an average performance of 69.59% on a PEN dataset and produces explanations with quality comparable to human output. |
Noun-MWP: Math Word Problems Meet Noun Answers (2022.coling-1)
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| Challenge: | Existing MWP solvers can handle Noun-MWPs, but they are not as efficient as other models. |
| Approach: | They propose a method to empower existing MWP solvers to handle Noun-MWPs. |
| Outcome: | The proposed model solves Noun-MWPs significantly better than other models and solves conventional MWP problems as well. |
Graph-to-Tree Learning for Solving Math Word Problems (2020.acl-main)
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| Challenge: | Existing tree-based neural models do not capture the relationships and order information among the quantities well. |
| Approach: | They propose a novel deep learning architecture that combines the merits of the graph-based encoder and tree-based decoder to generate better solution expressions. |
| Outcome: | The proposed framework outperforms the state-of-the-art on two available datasets significantly. |
Math Word Problem Solving with Explicit Numerical Values (2021.acl-long)
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| Challenge: | Existing methods for solving math word problems ignore numerical values in solving problems. |
| Approach: | They propose a numerically-based approach that explicitly incorporates numerical values into a sequence-to-tree network and uses a mathematical properties prediction mechanism to capture category and comparison information of numerals. |
| Outcome: | The proposed model outperforms existing state-of-the-art models on the Math23K and APE datasets. |
Neural-Symbolic Solver for Math Word Problems with Auxiliary Tasks (2021.acl-long)
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| Challenge: | Existing solutions for math word problems lack explicit integration of math symbolic constraints, leading to unexplainable and unreasonable predictions. |
| Approach: | They propose a novel mathematical model that explicitly incorporates symbolic constraints by auxiliary tasks to enforce different symbolic reasoning. |
| Outcome: | The proposed solver incorporates symbolic constraints by auxiliary tasks to enforce different symbolic reasoning. |
DISK: Domain-constrained Instance Sketch for Math Word Problem Generation (2022.coling-1)
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| Challenge: | Existing methods for generating MWP text from equations are inflexible and require pre-defined templates. |
| Approach: | They propose a neural model which generates MWPs from equations by constructing a Quantity Cell Graph from the retrieved MWp instance and reasoning over it. |
| Outcome: | The proposed model performs impressively on educational MWP set and on human evaluation metrics. |
Structure-Unified M-Tree Coding Solver for Math Word Problem (2022.emnlp-main)
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| Challenge: | Existing models that take into account the binary tree structure of mathematical expressions have achieved better performance, but the output space is non-deterministic. |
| Approach: | They propose a Structure-Unified M-Tree Coding Solver which applies a tree with any M branches to unify the output structures. |
| Outcome: | The proposed model outperforms several state-of-the-art models under similar experimental conditions and performs much better under low-resource conditions. |
A Knowledge-Aware Sequence-to-Tree Network for Math Word Problem Solving (2020.emnlp-main)
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| Challenge: | Existing methods for solving math word problems ignore background common-sense knowledge . a novel knowledge-aware sequence-to-tree (KA-S2T) network incorporates external knowledge and global expression information. |
| Approach: | They propose a knowledge-aware sequence-to-tree network that incorporates external knowledge and global expression information into the problem. |
| Outcome: | The proposed model can achieve better performance than previous models on a Math23K dataset. |
Leveraging Training Data in Few-Shot Prompting for Numerical Reasoning (2023.findings-acl)
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| Challenge: | Chain-of-thought (CoT) prompts can be challenging to design for arithmetic word problem solving. |
| Approach: | They propose to use training data to replace CoT with programs as the reasoning step . their results show that leveraging training data can improve generalization ability of prompts . |
| Outcome: | The proposed methods improve the generalization ability of prompts and the performance of fine-tuned smaller models in arithmetic word problem solving. |
It Ain’t Over: A Multi-aspect Diverse Math Word Problem Dataset (2023.emnlp-main)
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| Challenge: | Existing studies lack diversity in problem types, lexical usage patterns, languages, and intermediate solution forms for the math word problem. |
| Approach: | They propose a new MWP dataset with a wide range of diversity in problem types, lexical usage patterns, languages, and intermediate solutions. |
| Outcome: | The proposed dataset provides an opportunity to evaluate the capability of large language models. |