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Manifold Modeling in Embedded Space: A Perspective for Interpreting Deep Image Prior
Tatsuya Yokota, Hidekata Hontani, Qibin Zhao +1
Deep image prior (DIP), which utilizes a deep convolutional network (ConvNet) structure itself as an image prior, has attracted attentions in computer vision and machine learning c…
Learning Representations from Imperfect Time Series Data via Tensor Rank Regularization
Paul Pu Liang, Zhun Liu, Yao-Hung Hubert Tsai +3
There has been an increased interest in multimodal language processing including multimodal dialog, question answering, sentiment analysis, and speech recognition. However, natural…
Tensor-Ring Nuclear Norm Minimization and Application for Visual Data Completion
Jinshi Yu, Chao Li, Qibin Zhao +1
Tensor ring (TR) decomposition has been successfully used to obtain the state-of-the-art performance in the visual data completion problem. However, the existing TR-based completio…
Compression and Interpretability of Deep Neural Networks via Tucker Tensor Layer: From First Principles to Tensor Valued Back-Propagation
Giuseppe G. Calvi, Ahmad Moniri, Mahmoud Mahfouz +2
This work aims to help resolve the two main stumbling blocks in the application of Deep Neural Networks (DNNs), that is, the exceedingly large number of trainable parameters and th…
Randomized Tensor Ring Decomposition and Its Application to Large-scale Data Reconstruction
Longhao Yuan, Chao Li, Jianting Cao +1
Dimensionality reduction is an essential technique for multi-way large-scale data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to its high representation ab…