scholarly journals Sur-Real: Frechet Mean and Distance Transform for Complex-Valued Deep Learning

2019 ◽  
Author(s):  
Rudrasis Chakraborty ◽  
Jiayun Wang ◽  
Stella X. Yu
Keyword(s):  
Deep Learning ◽  
Distance Transform ◽  
Fréchet Mean ◽  
Frechet Mean ◽  
Complex Valued

CV-3DCNN: Complex-valued Deep Learning for CSI Prediction in FDD Massive MIMO Systems

2020 ◽  
pp. 1-1
Author(s):  
Yibin Zhang ◽  
Jie Wang ◽  
Jinlong Sun ◽  
Bamidele Adebisi ◽  
Haris Gacanin ◽  
...  
Keyword(s):  
Deep Learning ◽  
Massive Mimo ◽  
Mimo Systems ◽  
Complex Valued

On the consistency of procrustean mean shapes

1998 ◽  
Vol 30 (1) ◽  
pp. 53-63 ◽  
Author(s):  
Huiling Le
Keyword(s):  
Mild Condition ◽  
Shape Space ◽  
Entire Space ◽  
Fréchet Mean ◽  
Mean Shape ◽  
Frechet Mean

We discuss the uniqueness of the Fréchet mean of a class of distributions on the shape space of k labelled points in ℝ2, the supports of which could be the entire space. From this it follows that the shape of the means is the unique Fréchet mean shape of the induced distribution with respect to an appropriate metric structure, provided the distribution of k labelled points in ℝ2 is isotropic and satisfies a further mild condition. This result implies that an increasing sequence of procrustean mean shapes defined in either of the two ways used in practice will tend almost surely to the shape of the means.

On the consistency of procrustean mean shapes

1998 ◽  
Vol 30 (01) ◽  
pp. 53-63 ◽  
Author(s):  
Huiling Le
Keyword(s):  
Mild Condition ◽  
Shape Space ◽  
Entire Space ◽  
Fréchet Mean ◽  
Mean Shape ◽  
Frechet Mean

We discuss the uniqueness of the Fréchet mean of a class of distributions on the shape space of k labelled points in ℝ2, the supports of which could be the entire space. From this it follows that the shape of the means is the unique Fréchet mean shape of the induced distribution with respect to an appropriate metric structure, provided the distribution of k labelled points in ℝ2 is isotropic and satisfies a further mild condition. This result implies that an increasing sequence of procrustean mean shapes defined in either of the two ways used in practice will tend almost surely to the shape of the means.

scholarly journals Principal component analysis and the locus of the Fréchet mean in the space of phylogenetic trees

Biometrika ◽  
2017 ◽  
Vol 104 (4) ◽  
pp. 901-922 ◽  
Author(s):  
Tom M W Nye ◽  
Xiaoxian Tang ◽  
Grady Weyenberg ◽  
Ruriko Yoshida
Keyword(s):  
Principal Component Analysis ◽  
Phylogenetic Trees ◽  
Principal Component ◽  
Component Analysis ◽  
Fréchet Mean ◽  
Frechet Mean
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