Explicit construction of the eigenvectors and eigenvalues of the graph Laplacian on the Cayley tree
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2019.10.023
Abstract: Abstract A generalized Fourier analysis on arbitrary graphs calls for a detailed knowledge of the eigenvectors of the graph Laplacian. Using the symmetries of the Cayley tree, we recursively construct the family of eigenvectors with… read more here.
Keywords: construction eigenvectors; graph laplacian; eigenvectors eigenvalues; cayley tree ... See more keywords
Superpixel-Based Graph Laplacian Regularization for Sparse Hyperspectral Unmixing
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2020.3027055
Abstract: An efficient spatial regularization method using superpixel segmentation and graph Laplacian regularization is proposed for the sparse hyperspectral unmixing method. Since it is likely to find spectrally similar pixels in a homogeneous region, we use… read more here.
Keywords: laplacian regularization; graph; sparse hyperspectral; graph laplacian ... See more keywords
Time-Varying RFI Mitigation for SAR Systems via Graph Laplacian Clustering Techniques
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2021.3062828
Abstract: As a wideband radar system, the synthetic aperture radar (SAR) usually conflicts with several electromagnetic systems, such as frequency modulation (FM), TV, and other communication systems. These signals, which are radio frequency interference (RFI) for… read more here.
Keywords: time; graph laplacian; sar systems; time varying ... See more keywords
Color-Guided Depth Image Recovery With Adaptive Data Fidelity and Transferred Graph Laplacian Regularization
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Circuits and Systems for Video Technology"
DOI: 10.1109/tcsvt.2018.2890574
Abstract: Depth images play an important role and are prevalently used in many computer vision and computational imaging tasks. However, due to the limitation of active sensing technology, the captured depth images in practice usually suffer… read more here.
Keywords: depth image; depth; graph laplacian; image ... See more keywords
Graph Laplacian Regularization With Sparse Coding for Image Restoration and Representation
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Circuits and Systems for Video Technology"
DOI: 10.1109/tcsvt.2019.2913411
Abstract: Sparse coding is widely used in image denoising, deblurring, clustering, and classification. However, most existing approaches to sparse coding failed to consider the fact that high dimensional data naturally reside on geometrical structure of the… read more here.
Keywords: image restoration; sparse coding; graph laplacian; image ... See more keywords
Fast Hyperspectral Image Denoising and Destriping Method Based on Graph Laplacian Regularization
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2023.3272906
Abstract: Hyperspectral images (HSIs) contain rich spatial and spectral information about the earth, and are widely used in the remote sensing field. However, an HSI is frequently corrupted by various types of noise, such as Gaussian… read more here.
Keywords: noise; laplacian regularization; graph laplacian; graph ... See more keywords
Interarea Oscillations Revisited
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DOI: 10.1109/tpwrs.2016.2568761
Abstract: This letter revisits interarea oscillation analysis using networked control analysis techniques. The power system analysis problem is analyzed as a networked control problem, specifically consensus control of homogeneous systems with static output feedback. The power… read more here.
Keywords: power system; system; system analysis; analysis ... See more keywords
Learning Overlapping Community-Based Networks
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Signal and Information Processing over Networks"
DOI: 10.1109/tsipn.2019.2936361
Abstract: Learning graph Laplacian matrices plays a crucial role in network analytics when a meaningful graph is not readily available from the datasets. However, graph Laplacian inference is an ill-posed problem, since multiple solutions may exist… read more here.
Keywords: community; community structure; community based; learning overlapping ... See more keywords
Optimization Algorithms for Graph Laplacian Estimation via ADMM and MM
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2019.2925602
Abstract: In this paper, we study the graph Laplacian estimation problem under a given connectivity topology. We aim at enriching the unified graph learning framework proposed by Egilmez et al. and improve the optimality performance of the… read more here.
Keywords: optimization algorithms; topology; graph laplacian; graph ... See more keywords
Joint Lp-Norm and L2,1-Norm Constrained Graph Laplacian PCA for Robust Tumor Sample Clustering and Gene Network Module Discovery
Sign Up to like & getrecommendations! Published in 2021 at "Frontiers in Genetics"
DOI: 10.3389/fgene.2021.621317
Abstract: The dimensionality reduction method accompanied by different norm constraints plays an important role in mining useful information from large-scale gene expression data. In this article, a novel method named Lp-norm and L2,1-norm constrained graph Laplacian… read more here.
Keywords: tumor sample; sample clustering; norm; graph laplacian ... See more keywords
Combining non-negative matrix factorization with graph Laplacian regularization for predicting drug-miRNA associations based on multi-source information fusion
Sign Up to like & getrecommendations! Published in 2023 at "Frontiers in Pharmacology"
DOI: 10.3389/fphar.2023.1132012
Abstract: Increasing evidences suggest that miRNAs play a key role in the occurrence and progression of many complex human diseases. Therefore, targeting dysregulated miRNAs with small molecule drugs in the clinical has become a new treatment.… read more here.
Keywords: matrix; laplacian regularization; graph laplacian; non negative ... See more keywords