Separation of composite tensors with sparse Tucker representations

Ashley Prater-Bennette; Kenneth Theodore Carr

doi:10.1117/12.2519095

13 May 2019 Separation of composite tensors with sparse Tucker representations

Ashley Prater-Bennette, Kenneth Theodore Carr

Proceedings Volume 10989, Big Data: Learning, Analytics, and Applications; 109890N (2019) https://doi.org/10.1117/12.2519095
Event: SPIE Defense + Commercial Sensing, 2019, Baltimore, MD, United States

Abstract

A common tool to process and interpret multimodal data is to represent the data in a sparse Tucker format, decomposed as a sparse core tensor and dictionary matrices for each modal dimension. In real-world applications one may be presented with a composition of several tensors, each with its own sparse Tucker representation and collection of dictionaries. The Tucker model and associated recovery algorithms struggle to accurately separate composite tensors in this situation, either having difficulty with the overcomplete dictionaries or not fully taking advantage of the special structure of the decomposition. To address these deficiencies, we introduce an overcomplete sparse Tucker model and an iterative algorithm to separate a composite sparse Tucker tensor. The method, which is based on soft-thresholding shrinkage techniques, is demonstrated to effectively separate overcomplete tensors and recover the sparse component tensors on real-world datasets, and to do so more accurately than other Tucker methods.

Conference Presentation

Citation Download Citation

Ashley Prater-Bennette and Kenneth Theodore Carr "Separation of composite tensors with sparse Tucker representations", Proc. SPIE 10989, Big Data: Learning, Analytics, and Applications, 109890N (13 May 2019); https://doi.org/10.1117/12.2519095

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