Introduction of Back Propagation(BP).
My understanding is far from perfect,
how to use, what's for, what can be? doubts are remained.
However i get more interest through this approach.
I'll make effort more about this.
Introduction of Back Propagation(BP).
My understanding is far from perfect,
how to use, what's for, what can be? doubts are remained.
However i get more interest through this approach.
I'll make effort more about this.
1. 1
DEEP LEARNING JP
[DL Papers]
http://deeplearning.jp/
Clebsch-Gordan Nets: a Fully Fourier Space Spherical
Convolutional Neural Network
Rei Mizuta, Graduate School of Mathematical Sciences, UT
2. 書誌情報
• 著者:Risi Kondor, Zhen Lin, Shubhendu Trivedi
• NIPS 2018 (12/2~12/8 @Canada)
• (cf. On the generalization of equivalence and convolution in neural
networks to the action of compact groups.; ICLR 2018)
• Spherical CNNs(Taco S. Cohen et al.; ICLR 2018)のアーキテクチャを変え
てSO(3)-equivariant(つまり⼊⼒を回転してもNNの出⼒は同じ)にしたもの
• 定義:SO(3):={𝑔 ∈ 𝑀$(ℝ)|𝑔𝑔( = 𝑔( 𝑔 = 𝐼, det 𝑔 = 1}
• SO(3)は3次元、⾮可換、コンパクト
2
球⾯を中⼼を固定して
動かす操作の全体!
22. 参考文献
• Savva, M., Yu, F., Su, H., Kanezaki, A., Furuya, T., Ohbuchi, R.,
Zhou, Z., Yu, R., Bai, S., Bai, X., Aono, M., Tatsuma, A.,
Thermos, S., Axenopoulos, A., Papadopoulos, G. T., Daras, P.,
Deng, X., Lian, Z., Li, B., Johan, H., Lu, Y., and Mk., S. (2017).
Large-scale 3d shape retrieval from shapenet core55.
Eurographics Workshop on 3D Object Retrieval.
• A. X. Chang, T. Funkhouser, L. Guibas, P. Hanrahan, Q. Huang,
Z. Li, S. Savarese, M. Savva, S. Song, H. Su, J. Xiao, L. Yi, and F.
Yu. Shapenet: An information-rich 3d model repository. 2015.
• T.S.Cohen,M.Geiger,J.Ko¨hler,andM.Welling.SphericalCNNs.Intern
ationalConferenceonLearning Representations, 2018.
• Risi Kondor, Zhen Lin, and Shubhendu Trivedi. Clebsch–gordan
nets: a fully fourier space spherical convolutional neural network.
In Neural Information Processing Systems (NIPS), 2018. 22