Vapnik-Chervonenkis dimension 笔记 celestem 1 人赞同了该文章 VC(Vapnik-Chervonenkis)维是由Vladimir Vapnik和Alexey Chervonenkis提出的一个概念。它被用来衡量一族二分类器的表达能力。VC维的定义 给定一族二分类器(下文称作概念类)C和一个数据点集合S,若无论S中的点如何被赋值,在C中总能找到一个实例c成功分...
VC维是统计学习理论中的一个重要概念，它是由Vladimir Vapnik和Alexey Chervonenkis提出的。VC维试图从统计...
VC维(Vapnik–Chervonenkis dimension) 1、简介 vc理论(Vapnik–Chervonenkis theory )是由 Vladimir Vapnik 和 Alexey Chervonenkis发明的。该理论试图从统计学的角度解释学习的过程。而VC维是VC理论中一个很重要的部分。 2、定义 定义:对一个指示函数集,如果存在h个样本能够被函数集中的函数按所有可能的 种形式分开,...
\(\mathcal{F}\) 的 Vapnik–Chervonenkis Dimension,简称 VC Dimension,记作 \(d_\mathcal{F}\),是最大的满足如下条件的整数 \(N\) \[ S_\mathcal{F}(N) = 2^N \] 如果不存在这样的整数,我们记 \(d_\mathcal{F}=\infty\)。 显然...
VC dimension(Vapnik-Chervonenkis dimension) 二维平面的线性分类器的VC维讨论:http://www.tuicool.com/articles/JjaMfe VC维介绍:http://blog.csdn.net/lucylove3943/article/details/47280991 定义:对一个指示函数集,如果存在h个样本能够被函数集中的函数按所有可能的 种形式分开,则称函数集能够把h个样本打散;...
In machine learning theory, the Vapnik-Chervonenkis dimension or VC-dimension of a concept class is the cardinality of the largest set which can be shattered by . If arbitrarily large sets can be shattered by , then the VC-dimension is said to be ...
(b) A sine function can shatter any number of points with any assignment of labels; hence, its VC dimension is infinite. Vapnik’s theorem proves a connection between the VC dimension, empirical risk, and the generalization performance (Vapnik and Chervonenkis, 1971). The probability of the ...
Vapnik–Chervonenkis dimension (VC-dimension) is a complexity measure of set systems. The related parameter VC-density provides a more refined picture of set systems that have bounded VC-dimension. First introduced in the context of statistical learning theory [25], VC-dimension also plays a key...
554 15 The Vapnik-Chervonenkis Dimension Example 15.6. Consider the collection I = {[a, b] | a, b ∈ R, a ≤ b} of closed intervals. We claim that VCD(I) = 2. To justify this claim, we need to show that there exists a set S = {x, y} such that I S ...
An arrangement of oriented pseudohyperplanes in affined-space defines on its setX of pseudohyperplanes a set system (or range space) (X, ℛ), ℛ ⊑ 2 x of VC-dimensiond in a natural way: to every cellc in the arrangement assign the subset of pseudohyperplanes havingc on their posi...