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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 14: AAAI-21 Technical Tracks 14

SMART: A Situation Model for Algebra Story Problems via Attributed Grammar

February 1, 2023

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Authors

Yining Hong

University of California, Los Angeles


Qing Li

University of California, Los Angeles


Ran Gong

University of California, Los Angeles


Daniel Ciao

University of California, Los Angeles


Siyuan Huang

University of California, Los Angeles


Song-Chun Zhu

University of California, Los Angeles


DOI:

10.1609/aaai.v35i14.17538


Abstract:

Solving algebra story problems remains a challenging task in artificial intelligence, which requires a detailed understanding of real-world situations and a strong mathematical reasoning capability. Previous neural solvers of math word problems directly translate problem texts into equations, lacking an explicit interpretation of the situations, and often fail to handle more sophisticated situations. To address such limits of neural solvers, we introduce the concept of a situation model, which originates from psychology studies to represent the mental states of humans in problem-solving, and propose SMART, which adopts attributed grammar as the representation of situation models for algebra story problems. Specifically, we first train an information extraction module to extract nodes, attributes and relations from problem texts and then generate a parse graph based on a pre-defined attributed grammar. An iterative learning strategy is also proposed to further improve the performance of SMART. To study this task more rigorously, we carefully curate a new dataset named ASP6.6k. Experimental results on ASP6.6k show that the proposed model outperforms all previous neural solvers by a large margin, while preserving much better interpretability. To test these models' generalization capability, we also design an out-of-distribution (OOD) evaluation, in which problems are more complex than those in the training set. Our model exceeds state-of-the-art models by 17% in the OOD evaluation, demonstrating its superior generalization ability.

Topics: AAAI

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HOW TO CITE:

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu SMART: A Situation Model for Algebra Story Problems via Attributed Grammar Proceedings of the AAAI Conference on Artificial Intelligence (2021) 13009-13017.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu SMART: A Situation Model for Algebra Story Problems via Attributed Grammar AAAI 2021, 13009-13017.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu (2021). SMART: A Situation Model for Algebra Story Problems via Attributed Grammar. Proceedings of the AAAI Conference on Artificial Intelligence, 13009-13017.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu. SMART: A Situation Model for Algebra Story Problems via Attributed Grammar. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.13009-13017.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu. 2021. SMART: A Situation Model for Algebra Story Problems via Attributed Grammar. "Proceedings of the AAAI Conference on Artificial Intelligence". 13009-13017.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu. (2021) "SMART: A Situation Model for Algebra Story Problems via Attributed Grammar", Proceedings of the AAAI Conference on Artificial Intelligence, p.13009-13017

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu, "SMART: A Situation Model for Algebra Story Problems via Attributed Grammar", AAAI, p.13009-13017, 2021.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu. "SMART: A Situation Model for Algebra Story Problems via Attributed Grammar". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.13009-13017.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu. "SMART: A Situation Model for Algebra Story Problems via Attributed Grammar". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 13009-13017.

Yining Hong||Qing Li||Ran Gong||Daniel Ciao||Siyuan Huang||Song-Chun Zhu. SMART: A Situation Model for Algebra Story Problems via Attributed Grammar. AAAI[Internet]. 2021[cited 2023]; 13009-13017.


ISSN: 2374-3468


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