Halcon——矩阵/Matrix2024-03-0120.dev_set_lut显示效果2024-03-0121.基础设置之——dev_set_check2024-03-0122.基础设置之——dev_open_file_dialog2024-03-0123.基础设置之——dev_open_dialog2024-03-0124.基础设置之——dev_disp_text2024-03-0225.基础操作之——生成一张背景图像2024-03-0226.基础...
接下来涉及矩阵求导(Matrix calculus - Wikipedia),要复杂一些,这里不做推导,按参考文献[1]Chapter 9的公式(9.19),给出\frac{\partial L}{\partial \mathbf{\Sigma_k}} = \mathbf{0}的结果: \mathbf{\Sigma_k} = \frac{1}{N_k} \sum_{n=1}^{N}{\gamma(z_{nk})(\mathbf{x_n-\mu_k})(\...
首先，联合分布显然是满足无限维高斯分布的：\begin{bmatrix}Y\\f(X^*)\end{bmatrix}\sim N(\beg...
% - PX: N-by-K matrix indicating the probability of each% component generating each point.% - MODEL: a structure containing the parameters for a GMM:% MODEL.Miu: a K-by-D matrix.% MODEL.Sigma: a D-by-D-by-K matrix.% MODEL.Pi: a 1-by-K vector.% === threshold = 1e-15; ...
• We set the covariance matrix of each component to a small multiple of the identity matrix. • We set the weight of each component to 1/k . Explain why this initialization is equivalent to a K-Means clustering. In particular, consider the membership of a datapoint in each cluster ...
如果你想在优化过程中100%保证对称性肯定不发生改变,唯一做法是用内坐标描述结构,而且根据对称性来写内坐标,使得对称等价的坐标共享相同的变量(比如苯,让六个C-C键都共享一个键长变量),且优化的时候用opt=z-matrix让Gaussian在内坐标下优化。当然,这么按照对称性写内坐标对于原子数较多的体系是很麻烦的事情,往往还...
Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix The objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties... M Shakil,M Ahsanullah - 《Special Matrices》 ...
在内坐标下优化时,可以把内坐标表示的输入文件里的一些变量进行冻结。坐标后面空一行写的是允许被优化的变量,再空一行写的是冻结的变量。因此下例会在优化时会保持键角为80度。注意opt后面必须写z-matrix,否则优化会在冗余内坐标下进行,以内坐标方式定义的冻结就不生效了。
GaussianSplatting 中的 projection matrix 和 opengl 中的 projection matrix 主要三个差异。 Opengl 中的 NDC z 轴值域是 [-1, 1], 而 GS 中的 NDC 坐标 z 的值域是 [0, 1]。 Opengl 是把 frustum 映射为 NDC, …
\Sigma_ i = \frac 1 n \sum_ {j = 1}^n(X_ j-\mu_ i)(X_ j - \mu_ i)^T (\sum)_ i is the covarivance matrix of i_ {th} Guassian component. \pi_ i is weight, # of points belonging to i_ {th} Guassian component / # of all points \pi_ i = \frac nm We hav...