77,493 research outputs found
Randomized Tensor Ring Decomposition and Its Application to Large-scale Data Reconstruction
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 ability and flexibility. However, the traditional TR
decomposition algorithms suffer from high computational cost when facing
large-scale data. In this paper, taking advantages of the recently proposed
tensor random projection method, we propose two TR decomposition algorithms. By
employing random projection on every mode of the large-scale tensor, the TR
decomposition can be processed at a much smaller scale. The simulation
experiment shows that the proposed algorithms are times faster than
traditional algorithms without loss of accuracy, and our algorithms show
superior performance in deep learning dataset compression and hyperspectral
image reconstruction experiments compared to other randomized algorithms.Comment: ICASSP submissio
Multiresolution analysis using wavelet, ridgelet, and curvelet transforms for medical image segmentation
Copyright @ 2011 Shadi AlZubi et al. This article has been made available through the Brunel Open Access Publishing Fund.The experimental study presented in this paper is aimed at the development of an automatic image segmentation system for classifying region of interest (ROI) in medical images which are obtained from different medical scanners such as PET, CT, or MRI. Multiresolution analysis (MRA) using wavelet, ridgelet, and curvelet transforms has been used in the proposed segmentation system. It is particularly a challenging task to classify cancers in human organs in scanners output using shape or gray-level information; organs shape changes throw different slices in medical stack and the gray-level intensity overlap in soft tissues. Curvelet transform is a new extension of wavelet and ridgelet transforms which aims to deal with interesting phenomena occurring along curves. Curvelet transforms has been tested on medical data sets, and results are compared with those obtained from the other transforms. Tests indicate that using curvelet significantly improves the classification of abnormal tissues in the scans and reduce the surrounding noise
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