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Multi-granulation Multi-scale Relation Network for Abstract Reasoning

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Abstract

Abstract reasoning, one of the representative works of logic learning, is to make machines intelligent. To test the intelligence of machines, researchers have proposed multiple benchmark data sets and these date sets mainly consist of a few simple geometries and traced reasoning paths. There are three issues for these data sets: (1) it is relatively easy for machines to reason the right answer from the simple geometries; (2) due to the limited number of geometric shapes, these data sets are prone to disclosure of information about reasoning; (3) all traced reasoning paths in these data sets have been known beforehand, some state-of-the-art reasoning models are specially designed according to these paths. Hence, these benchmark data sets cannot truly reflect the reasoning ability of reasoning models. To address these issues, we propose a Fashion Non-descending Path data set (FNP). FNP is designed using a mass of complex samples from Fashion-MNIST data set as objects of FNP and the non-descending path that is a more complex path as the variation directions of logical patterns. For gaining reasoning performance on FNP, inspired by the multi-granulation and multi-scale ideas, we propose a multi-granulation multi-scale relation network (M2RN) to consider the multi-wise relations rather than the simple pair-wise relations. Experimental results show that the M2RN is effective for abstract reasoning task.

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Acknowledgements

This work was supported by the Key Program of the National Natural Science Foundation of China (62136005), National Key R&D Program of China (No. 2018YFB1004300), National Natural Science Fund of China (No. 61432011, 61502289), Key R&D program (International Science and Technology Cooperation Project) of Shanxi Province, China (No. 201903D421003), Program for the Young San Jin Scholars of Shanxi (No. 2016769), Young Scientists Fund of the National Natural Science Foundation of China (No. 61802238, 61906115, 61603228, 62006146, 61906114), Shanxi Province Science Foundation for Youths (No. 201901D211169, 201901D211170, 201901D211171), Research Project Supported by Shanxi Scholarship Council of China (No. HGKY2019001), and Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi (No. 2020L0036).

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Authors and Affiliations

  1. Institute of Big Data Science and Industry, Shanxi University, Taiyuan, 030006, Shanxi, China

    Qian Guo, Yuhua Qian, Xinyan Liang, Junyu Chen & Honghong Cheng

  2. Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, Shanxi University, Taiyuan, 030006, Shanxi, China

    Yuhua Qian

  3. School of Computer and Information Technology, Shanxi University, Taiyuan, 030006, Shanxi, China

    Qian Guo, Yuhua Qian, Xinyan Liang & Junyu Chen

  4. School of Information, Shanxi University of Finance and Economics, Taiyuan, 030012, China

    Honghong Cheng

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  1. Qian Guo
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Correspondence to Yuhua Qian.

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Guo, Q., Qian, Y., Liang, X. et al. Multi-granulation Multi-scale Relation Network for Abstract Reasoning. Int. J. Mach. Learn. & Cyber. 13, 1751–1762 (2022). https://doi.org/10.1007/s13042-021-01484-5

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