流形数据假设同时强调,在流形空间中, 数据之间的距离无法通过欧式距离进行有效度量,而必须用测地距离(Geodesic distance)进行度量。
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The new method adds the label information, and adopts the geodesic distance rather than Euclidean distance as the measure of the difference between two data points when conducting calculation.
该方法添加了标签信息,并且采用测地距离而不是欧氏距离来计算两个样本点之间的距离。
参考来源 - 基于图的半监督学习和维数约简方法及其应用研究In this paper we'll define the spherical evolute using the geodesic distance on the unit sphere and investigate some properties of the spherical evolute and the spherical involute, and their relationship.
在这篇论文中,我们利用单位球上的测地距离来定义球面渐屈线和球面渐伸线之间的关系并且讨论球面渐屈线的一些性质。
参考来源 - 球面渐屈线和球面渐伸线·2,447,543篇论文数据,部分数据来源于NoteExpress
而测地距离这种流形距离的度量方式,可以很好的展示基因之间复杂的内在关系。
While, geodesic distance is a kind of Manifold distance which is better to show the intrinsic link of genes.
所提出的方法是对基于测地距离函数和形态中值方法的扩展,以提高插值方法的有效性为目的。
The proposed method is an improvement of the geodesic distance function approach and morphological median approach, which increases the method's effectiveness.
But if we could statistically control for every other variable, all I'd need to do is measure the distance from your door to everybody else's door on campus and I could chart out who's going to fall in love with whom on the Yale campus.
如果我们能精确地控制其他可变因素,那么只需要测测距离,你宿舍门到其他宿舍门的距离,我就能够计算出,校园里谁爱上了谁。
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