摘要: 给定a,b,扩展欧几里得算法求得最大公约数的同时,还会给出ax+by=gcd(a,b)的整数解x,y 假设 di2=di1ci+di di1=dici+1+di+1 假设a,b的最大公约数为g,当某一步的di1=0时,$1d 阅读全文
posted @ 2022-08-26 15:24 19376273 阅读(28) 评论(0) 推荐(0) 编辑
摘要: Independent Components Analysis Ambiguity ICA is ambiguous to scaling and permutation. but usually it doesn't matter. As long as the data is not Gauss 阅读全文
posted @ 2022-08-25 22:43 19376273 阅读(33) 评论(0) 推荐(0) 编辑
摘要: Principal Components Analysis Intuition PCA tries to identify the subspace in which the data approximately lies. Intuitively, we choose a direction fo 阅读全文
posted @ 2022-08-25 19:49 19376273 阅读(10) 评论(0) 推荐(0) 编辑
摘要: Decision Tree Greedy, Top-down, Recurrent Classification Tree misclassification loss is not suitable for decision tree loss, because $$ L(R_p) - (\lam 阅读全文
posted @ 2022-08-24 22:18 19376273 阅读(25) 评论(0) 推荐(0) 编辑
摘要: Factor Analysis Background when m (number of samples) < n (dimension of samples), the covariance matrix might be singular. So it is necessary to find 阅读全文
posted @ 2022-08-23 18:13 19376273 阅读(30) 评论(0) 推荐(0) 编辑
摘要: EM Algorithm Jensen's inequality convex function: f(x)0 or H0 (Hessian matrix when x is a vector) E[f(x)]f(EX) EM Algorithm 阅读全文
posted @ 2022-08-22 19:23 19376273 阅读(28) 评论(0) 推荐(0) 编辑
摘要: Reinforcement Learning Background Credit Assignment Problem: Explore how actions in an action sequence contribute to the outcome finally. MDP(Markov D 阅读全文
posted @ 2022-08-17 21:08 19376273 阅读(39) 评论(0) 推荐(0) 编辑
摘要: Learning Mathematical Theorem Feature Selection If we have n features, the VC dimension of hypothesis class would be O(n), if n>>m, over-fitting would 阅读全文
posted @ 2022-08-15 16:16 19376273 阅读(25) 评论(0) 推荐(0) 编辑
摘要: Support Vector Machine Two Margins Functional Margin γ and Geometrical Margin γ^ $$ \hat{\gamma^{(i)}}=\frac{\gamma^{(i)}}{||w||} $ 阅读全文
posted @ 2022-08-13 10:56 19376273 阅读(34) 评论(0) 推荐(0) 编辑
摘要: Error Theorem in ML Basic Concepts ε(h)=Generalization Error=E(x,y)D[1(h(x)y)] $$ \hat{\varepsilon}(h)=\text{ 阅读全文
posted @ 2022-08-12 15:30 19376273 阅读(116) 评论(0) 推荐(0) 编辑
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