hyperplane单词基本解析：

n.超平面
n. 超平面
n.超平面；

hyperplane变化用词：

hyperplane英英释义：

HyperplaneIn geometry, a hyperplane is a generalization of the two-dimensional plane into a larger number of dimensions.

以上来源于:Wikipedia

hyperplane中文词源：

hyperplane用法和例句：

hyperplane

face recognition; support vector machines; optimal separate hyperplane; kernel function; primary component analysis; wavelet transform.

01人脸识别;支持向量机;最优分类面;核函数;主分量分析;小波变换

The decision fuction of SVM is determined by a subset of the training patterns, support vectors, which lies closer to the classification hyperplane.

SVM的决策函数由邻近分类超平面的部分训练样本-支持向量决定。

Linear and nonlinear classifications c an be made with SVM,and the hyperplane can be defined by a few support vectors.SVM is insensitive to dimensions and numbers of training set.

SVM能够解决线性及非线性分类问题,以较少的支持向量确定分类面,对样本数量及维数不敏感。

## The original optimal hyperplane algorithm proposed by Vladimir Vapnik in 1963 was a linear classifier.

Vladimir Vapnik最初在1963年提出的最优超平面算法是一个线性分类器。

Based on sliding mode control technique, the proposed controller can drive the systems' states into a pre-specified sliding hyperplane to obtain the desired dynamic performance.

一但系统动态达到滑动运动阶段，系统对不确定是不敏感的。

general hyperplane

一般超平面

Reducibility of centered hyperplane arrangement

乘积构形的超可解性

Classification Hyperplane Theory for the Analysis of Binary Feedforward Neural Networks

二进前向网络的分类超平面理论

double hyperplane arrangement

二重超平面构形

Research on Algorithms of Constructing SVR Based on its Approximate Hyperplane

从近似超平面到SVR的算法研究

hyperplane in an affine space

仿射空间超平面

affine hyperplane

仿射超平面

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。

separating hyperplane

分离超平面

Two parallel hyperplanes are constructed on each side of the hyperplane that separates the data.

切割资料的超平面的每一边有有两个相互平行(此超平面的切割面是一体两面的)。

tangent hyperplane

切超平面

initial hyperplane

初始超平面

prototypal hyperplane

原型超平面

discriminative hyperplane tree

可判别超平面树

##The vector is a normal vector: it is perpendicular to the hyperplane.

向量是一个法向量:它垂直于超平面.参数决定了在方向上与超平面的分开距离.

regression hyperplane

回归超平面

As we are interested in the maximum margin, we are interested in the support vectors and the parallel hyperplanes (to the optimal hyperplane) closest to these support vectors in either class.

因为我们感兴趣于最大边际，(所以)我们(也会)感兴趣于支援向量与相互平行的超平面(最佳化超平面)这两个类别中最相近的支援向量。

below a hyperplane

在超平面下方

coordinate hyperplane

坐标超平面

The state variables are proved to be able to hit the switching hyperplane and its requirement is discussed based on Lyapunov stability criterion.

基于Lyapunov理论证 明了所设计的控制器是滑模可达的，并给出了滑模可达条件。

Based on sliding mode control technique, the proposed controller can drive the systems’ states into a pre-specified sliding hyperplane to obtain the desired dynamic performance.

基于滑模控制技术，确保了该控制器能驱赶系统状态达到事先指定的滑动超平面，从而获得想要的动态性能。

The features based on histogram and ratio of inertial moment can keep their scale-invariance,rotation -invariance and translation-invariance,and get optimal hyperplane.

基于直方图及惯性比确定图像特征能够保证平移、旋转和尺度不变性,是最优分类面确定的可靠保证。

The Determination of Planar Overconstrained Mechanisms Based on Hyperplane Homotopy Method

基于超平面同伦法的平面过约束机构判定

singular hyperplane

奇异超平面

For each potential instability mode,a critical point on the boundary of the security region was found,in which the normal vector was used to form the hyperplane to simulate the boundary of the s.

对每一种潜在的失稳模式,搜索其动态安全域边界上的一个点,根据临界点处的法向来求解用于模拟动态安全域边界的超平面。

A support hyperplane method is presented to find the response set defined for a linear time invariant vibration system under the excitations modeled by some convex sets.

对激励由凸集合建模的线性振动系统提出了响应集的概念，将数学上的微分包含问题简化为求解多自由度振动系统的响应集问题。

projective hyperplane

射影超平面

The projection of samples into the structural failure hyperplane guarantees the sampling availability and makes the proposed method more suitable for highly nonlinear limit state function.

将抽样点投影到失效面上，不仅保证了抽样的有效性，而且使算法对高度非线性失效面具有更强的适应性。

The fuzzy membership of each sample is defined by affinity among samples,and by the training determine a threshold,noises and outliers are removed,which influence optimal separating hyperplane.

应用基于样本之间的紧密度确定每个样本的模糊隶属度,通过训练确定阀值,去除影响得到最优分类超平面的噪声和野点。

A linear equation in n variables represents a "hyperplane" in an n dimensional space.

应用数学与计算方法的相关知识在计算科学中佔有绝对的重要性。

In this paper, we develop a DEA model based on accepted cases set and propose a classification method with piece wise linear separating hyperplane as its boundary.

引入数据包络分析方法,提出了一种基于贷款可接受案例集的dea型信用评估模型和分类边界为分段线性分离超平面的分类方法。

The feature that PSO can optimize the procedure of searching in hyperplane space inspires the mind.By modifying the ve-locity equation of particle in original PSO,the searching is realized.

思路来自微粒群算法可以在超平面空间中实现优化搜索,因此,将微粒群算法中的微粒运动公式进行了修改,从而实现了搜索的过程。

Combining the new measure with the forward regression orthogonal least square (OLS), not only the parameters of the classification hyperplane, but also the important input nodes can be obtaind.

提出一种基于输入集分类函数的新的距离度量方法,它与前传回归的正交最小二乘法相结合,不仅可以学习分类超平面的参数,而且可以选择重要的输入节点。

A balance method for the offset of separation hyperplane of biclassification imbalanced data is proposed.

摘要 针对两类不平衡数据的分离超平面的偏移问题提出一种平衡方法。

Improved KNN-SVM that combined Support Vector Machine（SVM） with weighted K Nearest Neighbor（KNN） is presented to improve the accuracy of gender recognition nearby SVM hyperplane.

摘要 针对支持向量机（SVM）在超平面附近进行性别识别的不准确性，引入进行加权的K近邻（KNN）算法。

A partly analytical composite Monte-Carlo method on structural failure hyperplane was proposed to efficiently and accurately calculate structural reliability.

摘要为了提高采用蒙特卡罗方法计算结构可靠度的效率和精度，提出了一种部分解析的失效面上的复合蒙特卡罗方法。

The separating hyperplane of traditional support vector machines is sensitive to noises and outliers.

摘要传统的支持向量机分类超平面对噪声和野值非常敏感。

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。

hyperplane of support

支撑超平面

supporting hyperplane algorithm

支撑超平面算法

Bias of the optimal hyperplane

最优分界面偏移

optimal separating hyperplane

最优分类超平面

Geometric interpretation of optimal separating hyperplane

最优分类超平面的几何意义

optimal hyperplane

最优分类面

Finally, a new separation hyperplane was generated through the optimization training.

最后通过优化训练产生一个新的分离超平面。

Finally，a new separation hyperplane is generated by the optimization training.

最后，通过优化训练，产生一个新的分离超平面。

oriented hyperplane

有向超平面

polar hyperplane

极超平面

Research on Distance from Point in to Hyperplane in Euclidean Space

欧氏空间中点到超平面的距离研究

A New Design Method of Sliding Mode Hyperplane of V_(ss) Hydraulic servo System

液压伺服系统变结构滑模超平面的一种新的设计方法

And then testing samples are diagnosed according to the hyperplane.

然后根据最优分类平面，对测试集的样本进行故障诊断。

Secondly, the most optimal hyperplane and decision-making function were found;

然后求解最优超平面，进而确定决策函数；

Then the method to construct the optimal separating hyperplane and some basic concept are described simply.

然后，简单介绍了SVM的构造过程及其一些基本概念。

characteristic hyperplane

特征超平面

The reducibility of affine hyperplane arrangements is discussed by using the matrix method.

用矩阵方法讨论仿射超平面构形的可约性。

A new algorithm to the optimal separating hyperplane

确定最优分类超平面的新算法

structural failure hyperplane

结构失效面

Keywords Statistical learning theory;Support vector machine;Multiclass SVM;Support vector regression;Non-equidistant margin hyperplane;Multi-output SVR;Quadratic Programming problem;

统计学习理论;支持向量机;多类别支持向量机分类;支持向量回归;不等距分类超平面;多输出支持向量回归;二次规划问题;

free hyperplane arrangement

自由构形

A lot of face samples and "not face" samples are used to train the SVM classifier, to get optimal separating hyperplane in the training.

训练过程是用大量人脸样本、“非人脸”样本训练SVM分类器，使之获得一个最优分类超平面。

Furthermore, each central hyperplane arrangement can be decomposed into the product of several irreducible arrangements, and this decompositiohyperplane arrangement;

证明了中心本质构形 不可约当且仅当对应的拟阵 连通；

The hyperplane revises the error of the standard Support Vector Machines.

该分类面校正了标准的支持向量机的分类误差。

wealth hyperplane

财富超平面

hyperosculating hyperplane

超密切超平面

hyperplane coordinates

超平坐标

The invention of hyperplane kinescopes is another technical innovation.

超平显像管的发明是又一次技术革新。

The reducibility of central hyperplane arrangements

超平面中心构形可约性的研究

Hyperplane classification

超平面分类

hyperplane decision boundary

超平面判定边界

hyperplane homotopy method

超平面同伦法

Hyperplane location

超平面定位

Hyperplane orientation

超平面定向

hyperplane theorem

超平面定理

hyperplane section

超平面截面

Hyperplane fit

超平面拟合

用作名词(n.)

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。

Finally, a new separation hyperplane was generated through the optimization training.
最后通过优化训练产生一个新的分离超平面。

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