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20202024
most citedGeneral Data Analytics with Applications to Visual Information Analysis: A Provable Backward-Compatible Semisimple Paradigm over T-Algebra

3 citations · 7 across the 7 of their papers we have counts for

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6 papers · 1 filter

cs.CV2024

Hyperspectral Image Spectral-Spatial Feature Extraction via Tensor Principal Component Analysis

Yuemei Ren, Liang Liao, Stephen John Maybank +2

This paper addresses the challenge of spectral-spatial feature extraction for hyperspectral image classification by introducing a novel tensor-based framework. The proposed approac…

cs.CV2023★ 3 cited

Color Image Recovery Using Generalized Matrix Completion over Higher-Order Finite Dimensional Algebra

Liang Liao, Zhuang Guo, Qi Gao +4

To improve the accuracy of color image completion with missing entries, we present a recovery method based on generalized higher-order scalars. We extend the traditional second-ord…

cs.CV2021

Generalized Image Reconstruction over T-Algebra

Liang Liao, Xuechun Zhang, Xinqiang Wang +2

Principal Component Analysis (PCA) is well known for its capability of dimension reduction and data compression. However, when using PCA for compressing/reconstructing images, imag…

cs.CV2020★ 3 cited

General Data Analytics with Applications to Visual Information Analysis: A Provable Backward-Compatible Semisimple Paradigm over T-Algebra

Liang Liao, Stephen John Maybank

We consider a novel backward-compatible paradigm of general data analytics over a recently-reported semisimple algebra (called t-algebra). We study the abstract algebraic framework…

cs.CV2020

Intrinsic Dimension Estimation via Nearest Constrained Subspace Classifier

Liang Liao, Stephen John Maybank

We consider the problems of classification and intrinsic dimension estimation on image data. A new subspace based classifier is proposed for supervised classification or intrinsic…

cs.CV2020

Generalized Visual Information Analysis via Tensorial Algebra

Liang Liao, Stephen John Maybank

Higher order data is modeled using matrices whose entries are numerical arrays of a fixed size. These arrays, called t-scalars, form a commutative ring under the convolution produc…