학술논문

Learning Graph Signal Representations with Narrowband Spectral Kernels
Document Type
Conference
Source
2022 IEEE 32nd International Workshop on Machine Learning for Signal Processing (MLSP) Machine Learning for Signal Processing (MLSP), 2022 IEEE 32nd International Workshop on. :1-6 Aug, 2022
Subject
Computing and Processing
Signal Processing and Analysis
Dictionaries
Computational modeling
Estimation
Signal processing algorithms
Prototypes
Signal processing
Signal representation
Graph signal processing
graph kernels
narrow-band kernels
graph dictionary learning
graph regularization
Language
ISSN
2161-0371
Abstract
In this work, we study the problem of learning graph dictionary models from partially observed graph signals. We represent graph signals in terms of atoms generated by narrowband graph kernels. We formulate an optimization problem where the kernel parameters are learnt jointly with the signal representations under a triple regularization scheme: While the first regularization term aims to control the spectrum of the narrowband kernels, the second term encourages the reconstructed graph signals to vary smoothly on the graph, and the third term enforces that similar graph signals have similar representations over the learnt dictionaries. Once the graph kernels and signal representations are learnt, the initially unknown values of the signals are estimated based on the computed model. Experimental results show that the proposed method gives significant improvements in the estimation performance compared to reference approaches.