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Bayesian Dictionary Learning with Gaussian Processes and Sigmoid Belief Networks

Yizhe Zhang, Ricardo Henao, Chunyuan Li, Lawrence Carin

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Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence. Pages 2364-2369.

Abstract

In dictionary learning for analysis of images, spatial correlation from extracted patches can be leveraged to improve characterization power. We propose a Bayesian framework for dictionary learning, with spatial location dependencies captured by imposing a multiplicative Gaussian process (GP) priors on the latent units representing binary activations. Data augmentation and Kronecker methods allow for efficient Markov chain Monte Carlo sampling. We further extend the model with Sigmoid Belief Networks (SBNs), linking the GPs to the top-layer latent binary units of the SBN, capturing inter-dictionary dependencies while also yielding computational savings. Applications to image denoising, inpainting and depth-information restoration demonstrate that the proposed model outperforms other leading Bayesian dictionary learning approaches.

Yizhe Zhang, Ricardo Henao, Chunyuan Li, and Lawrence Carin. 2016. Bayesian Dictionary Learning with Gaussian Processes and Sigmoid Belief Networks. In Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence, IJCAI-16. IJCAI, 2364–2369. https://ijcai.org/proceedings/2016/337
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