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Cavill's Blog

Archives

All the articles I've archived.

20268
August2
July6
  • Machine Learning:Tensor For Beginners

    从数据形状、矩阵梯度到雅可比矩阵,理解机器学习中的张量求导、输出轴与输入轴,以及反向传播的核心思路。

  • How Google Ranks the Web

    An intuitive guide to PageRank: how random walks, link structure, and the damping factor help Google rank pages across the web.

  • Chasing the Golden Snitch

    In the world of Quidditch, catching the Golden Snitch is not just a matter of speed. By viewing it as a moving target in an uncertain environment, we explore how search algorithms, Bayesian inference, and particle filters help a seeker locate what cannot be directly observed.

  • Implementing a Skip List from Scratch

    A step-by-step guide to implementing a Skip List in modern C++, covering its layered structure, randomized levels, and the search, insertion, and deletion operations.

  • Monty Hall problem

    A deep dive into the Monty Hall Problem. This article explains the famous probability puzzle using both intuitive case analysis and Bayes' theorem, showing why switching doors gives a 2/3 chance of winning and why human intuition often fails in probabilistic reasoning.

  • 从计算图理解反向传播

    An intuitive introduction to backpropagation through computational graphs, explaining how chain rule and dynamic programming make efficient gradient computation possible.