More precisely, given a prime p and positive integer d, consider the family of hyperplanes through the origin in the vector space ( Z pZ )d over the finite field Z pZ . In this setting, a hyperplane can be defined by a vector that is orthogonal to every point in the plane. Let a ...
11.When traditional support vector machines separate data containing noises, the obtained hyperplane is not an optimal one. 使用传统的支持向量机对含有噪声的数据分类时,所得到的超平面往往不是最优超平面。 12.Combining the new measure with the forward regression orthogonal least square (OLS), not only...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook hyperplane (redirected fromAffine hyperplane) Dictionary [¦hī·pər‚plān] (mathematics) A hyperplane is an (n- 1)-dimensional subspace of ann-dimensional vector space. ...
We propose a faster nearest neighbor search method for image data vector quantization. The method uses hyperplanes orthogonal to the central line direction of the coordinate system to partition the search space. The data structure required by the method is very simple and its size is independent ...
A hyperplane in Rn is a set of the form [p = α], where p = 0.1 The vector p can be thought of as a real-valued linear function on Rm , or as a vector normal (orthogonal) to the hyperplane at each point. Multiplying p and α by the same nonzero scalar does not change the ...
1. The key problem of the support vector machine (SVM) is how to obtain an optimal hyperplane that is the critical boundary for distinguishing the sample which belongs to one kind or another. 支持向量机(SVM)是解决小样本学习问题的有力工具,其关键是如何得到判别样本类别的最优超平面。
Matroid . Orthogonal duality 1. Introduction An important conjecture in the theory of hyperplane arrangements is Terao's con- jecture [14]: whether the derivation module D(A) of a central arrangement A is free depends only on the "combinatorics," that is to say, the matroid of A. Since ...
, consider a line L and a point x not on L. Any nonzero vector orthogonal to the line defines a linear function that strongly separates x from L. However, almost any perturbation of the function (except scalar multiplication) cannot separate them. ...
针对两类分类问题中使用支持向量机(Support Vector Machines,SVM)训练时间长和支持向量域分类器(Support Vector Domain Classifier,SVDC)精度不高的问题,建立一种基于支持向量域描述(Support Vector Domain Description,SVDD)的分离超平面,尝试将SVDD与SVM结合。
A new algorithm to the optimal separating hyperplane; 确定最优分类超平面的新算法 3. In respect of the skew of the optimal separating hyperplane and the generalization error bound that exist in the practical application of support vector machine,this paper introduces the total margin algorithm and ...