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dpwithknots

系北京师范大学北创项目——验证纽结等价的深度学习方法项目组成果

introduction

  • 尝试设计深度学习算法寻找纽结间的形变路径,进而验证对任意给定的两个纽结,它们是否等价
  • 本项目最终实现了一些简单的平凡纽结间的等价性验证

files & codes

  • net.ipynb —— 设计了全连接神经网络net1与基于realNVP的神经网络net2,经测试,net2性能更佳

figure2mat

  • figure2mat.py —— 实现纽结图转化为三维参数曲线并将坐标写入mat文件,便于读取
  • Transformation.py —— 调用figure2mat,进行转化
  • pics —— 五个平凡纽结的纽结图

problems

  • net2仅能实现一些简单的平凡纽结间的等价性验证,在处理较复杂的纽结变换的能力有待优化

如果有任何建议或疑问,欢迎联系我们:[email protected]

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