Analyzing the impact of the initialization for the nonnegative tensor factorization in tensor displays

David Carmona-Ballester; Juan Manuel Trujillo-Sevilla; Sergio Bonaque-Gonzalez; Angela Hernandez-Delgado; Jose Manuel Rodriguez-Ramos

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Analyzing the impact of the initialization for the nonnegative tensor factorization in tensor displays

机译：分析张量显示中初始化对非负张量分解的影响

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摘要

Tensor display is an option in glasses-free three-dimensional (3-D) display technology. An initial solution has to be set to decompose the light-field information to be represented by the system. We have analyzed the impact of the initial guess on the multiplicative update rules in terms of peak signal-to-noise ratio, and proposed a method based on depth map estimation from an input light field. Results from simulations were obtained and compared with previous literature. In our sample, the initial values used have a large influence on results and convergence to a local minimum. The quality of the output stabilizes after a certain number of iterations, suggesting that a limit on such numbers should be imposed. We show that the proposed methods outperform the pre-existing Ones.

机译：张量显示是无眼镜三维（3-D）显示技术中的一个选项。必须设置初始解决方案以分解要由系统表示的光场信息。我们从峰值信噪比的角度分析了初始猜测对乘法更新规则的影响，并提出了一种基于输入光场深度图估计的方法。获得了模拟结果并将其与以前的文献进行比较。在我们的样本中，使用的初始值对结果有很大影响，并且收敛到局部最小值。经过一定数量的迭代后，输出的质量趋于稳定，这表明应对此数量施加限制。我们表明，所提出的方法优于现有方法。

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来源
《Optical engineering》 |2018年第6期|061603.1-061603.7|共7页
作者
David Carmona-Ballester; Juan Manuel Trujillo-Sevilla; Sergio Bonaque-Gonzalez; Angela Hernandez-Delgado; Jose Manuel Rodriguez-Ramos;
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作者单位

University of La Laguna, Faculty of Physics, Department of Industrial Engineering, San Cristobal de La Laguna, Spain;

Wooptix S.L., San Cristobal de La Laguna, Spain;

Wooptix S.L., San Cristobal de La Laguna, Spain;

Wooptix S.L., San Cristobal de La Laguna, Spain,Fundaci6n General de la Universidad de la Laguna, San Cristobal de La Laguna, Spain;

University of La Laguna, Faculty of Physics, Department of Industrial Engineering, San Cristobal de La Laguna, Spain,Wooptix S.L., San Cristobal de La Laguna, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
light-field; tensor display; nonnegative tensor factorization; initialization;

机译：光场张量显示非负张量分解初始化;

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专利

1. NONNEGATIVE TENSOR FACTORIZATION, COMPLETELY POSITIVE TENSORS, AND A HIERARCHICAL ELIMINATION ALGORITHM [J] . Qi Liqun, Xu Changqing, Xu Yi SIAM Journal on Matrix Analysis and Applications . 2014,第4期

机译：非负张量因子化，完全正张量和分层消除算法
2. Nonnegative tensor factorization as an alternative Csiszar–Tusnady procedure: algorithms, convergence, probabilistic interpretations and novel probabilistic tensor latent variable analysis algorithms [J] . Stefanos Zafeiriou, Maria Petrou Data Mining and Knowledge Discovery . 2011,第3期

机译：非负张量分解作为Csiszar-Tusnady过程的替代方法：算法，收敛性，概率解释和新颖的概率张量潜变量分析算法
3. Nonnegative tensor factorization as an alternative Csiszar–Tusnady procedure: algorithms, convergence, probabilistic interpretations and novel probabilistic tensor latent variable analysis algorithms [J] . Zafeiriou Stefanos, Petrou Maria Data mining and knowledge discovery . 2011,第3期

机译：非负张量分解作为Csiszar-Tusnady过程的替代方法：算法，收敛性，概率解释和新颖的概率张量潜变量分析算法
4. Student's T nonnegative matrix factorization and positive semidefinite tensor factorization for single-channel audio source separation [C] . Kazuyoshi Yoshii, Katsutoshi Itoyama, Masataka Goto IEEE International Conference on Acoustics, Speech and Signal Processing . 2016

机译：用于单声道音频源分离的Student T非负矩阵分解和正半定张量分解
5. Nonnegative matrix and tensor factorizations, least squares problems, and applications. [D] . Kim, Jingu. 2011

机译：非负矩阵和张量分解，最小二乘问题及其应用。
6. Advances in Nonnegative Matrix and Tensor Factorization [O] . A. Cichocki, M. Mørup, P. Smaragdis, 2008

机译：非负矩阵和张量分解的研究进展
7. Nonnegative Tensor Factorization, Completely Positive Tensors and an Hierarchical Elimination Algorithm [O] . Qi, Liqun, Xu, Changqing, Xu, Yi 2013

机译：非负张量分解，完全正张量和一个分层消除算法
8. Block Coordinate Descent Method for Multi-Convex Optimization with Applications to Nonnegative Tensor Factorization and Completion. [R] . Xu, Y., Yin, W. 2012

机译：多凸优化的块坐标下降法及其在非负张量分解和完成中的应用。

Analyzing the impact of the initialization for the nonnegative tensor factorization in tensor displays

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