1 code implementation • 18 Feb 2024 • Xiaokai Zhang, Na Zhu, Yiming He, Jia Zou, Cheng Qin, Yang Li, Zhenbing Zeng, Tuo Leng
The symbolic part is a formal system built on FormalGeo, which can automatically perform geomertic relational reasoning and algebraic calculations and organize the solving process into a solution hypertree with conditions as hypernodes and theorems as hyperedges.
1 code implementation • 14 Feb 2024 • Jia Zou, Xiaokai Zhang, Yiming He, Na Zhu, Tuo Leng
We built a neural-symbolic system, called FGeoDRL, to automatically perform human-like geometric deductive reasoning.
no code implementations • 14 Feb 2024 • Yiming He, Jia Zou, Xiaokai Zhang, Na Zhu, Tuo Leng
The application of contemporary artificial intelligence techniques to address geometric problems and automated deductive proof has always been a grand challenge to the interdiscipline field of mathematics and artificial Intelligence.
1 code implementation • 27 Oct 2023 • Xiaokai Zhang, Na Zhu, Yiming He, Jia Zou, Qike Huang, Xiaoxiao Jin, Yanjun Guo, Chenyang Mao, Yang Li, Zhe Zhu, Dengfeng Yue, Fangzhen Zhu, Yifan Wang, Yiwen Huang, Runan Wang, Cheng Qin, Zhenbing Zeng, Shaorong Xie, Xiangfeng Luo, Tuo Leng
In this paper, we have constructed a consistent formal plane geometry system.
no code implementations • 16 Jun 2023 • Changhao Wu, Shenan Zhang, Fangsong Long, Ziliang Yin, Tuo Leng
The relaxed kernel orthogonality achieves enhanced performance on models with increased capacity, shedding light on the burden of strict kernel orthogonality on deep model performance.
2 code implementations • 11 Apr 2019 • Qingyu Zhao, Ehsan Adeli, Nicolas Honnorat, Tuo Leng, Kilian M. Pohl
While unsupervised variational autoencoders (VAE) have become a powerful tool in neuroimage analysis, their application to supervised learning is under-explored.