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Title: Dynamic Low-rank Matrix Recovery: Theory and Applications
Committee:
Dr. Mark Davenport, ECE, Chair , Advisor
Dr. Justin Romberg, ECE
Dr. Christopher Rozell, ECE
Dr. Yao Xie, ISyE
Dr. Mary Wootters, Stanford
Abstract:
The purpose of this work is to provide both theoretical understanding of and practical algorithms for dynamic low-rank matrix recovery. Although the benefits of exploiting dynamics in low-rank matrix recovery have been observed in many applications, the theoretical understanding of and justification for these methods is limited. This dissertation concerns two widely-used dynamics models in the context of low-rank matrix recovery: random walk dynamics and measurement induced dynamics.