Search Results for author: Xiongjun Zhang

Found 7 papers, 0 papers with code

Tensor Factorization via Transformed Tensor-Tensor Product for Image Alignment

no code implementations12 Dec 2022 Sijia Xia, Duo Qiu, Xiongjun Zhang

The main advantage of transformed tensor-tensor product is that its computational complexity is lower compared with the existing literature based on transformed tensor nuclear norm.

Sparse Nonnegative Tucker Decomposition and Completion under Noisy Observations

no code implementations17 Aug 2022 Xiongjun Zhang, Michael K. Ng

In this paper, we propose a sparse nonnegative Tucker decomposition and completion method for the recovery of underlying nonnegative data under noisy observations.

Tensor Decomposition

Tensor Completion by Multi-Rank via Unitary Transformation

no code implementations16 Dec 2020 Guang-Jing Song, Michael K. Ng, Xiongjun Zhang

The main aim of this paper is to study $n_1 \times n_2 \times n_3$ third-order tensor completion based on transformed tensor singular value decomposition, and provide a bound on the number of required sample entries.

valid

Tensor Completion via Convolutional Sparse Coding Regularization

no code implementations2 Dec 2020 Zhebin Wu, Tianchi Liao, Chuan Chen, Cong Liu, Zibin Zheng, Xiongjun Zhang

On the contrary, in the field of signal processing, Convolutional Sparse Coding (CSC) can provide a good representation of the high-frequency component of the image, which is generally associated with the detail component of the data.

Sparse Nonnegative Tensor Factorization and Completion with Noisy Observations

no code implementations21 Jul 2020 Xiongjun Zhang, Michael K. Ng

We propose to minimize the sum of the maximum likelihood estimation for the observations with nonnegativity constraints and the tensor $\ell_0$ norm for the sparse factor.

Denoising

Orthogonal Nonnegative Tucker Decomposition

no code implementations21 Oct 2019 Junjun Pan, Michael K. Ng, Ye Liu, Xiongjun Zhang, Hong Yan

In this paper, we study the nonnegative tensor data and propose an orthogonal nonnegative Tucker decomposition (ONTD).

Face Recognition Hyperspectral Unmixing

Robust Tensor Completion Using Transformed Tensor SVD

no code implementations2 Jul 2019 Guangjing Song, Michael K. Ng, Xiongjun Zhang

In this paper, we study robust tensor completion by using transformed tensor singular value decomposition (SVD), which employs unitary transform matrices instead of discrete Fourier transform matrix that is used in the traditional tensor SVD.

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