【摘 要】
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Optimization problems involving sparse vectors or low-rank matrices areofgreat importance in applied athematics and engineering.They provide a rich and frui
【出 处】
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International Conference on the spectral theory of the tenso
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Optimization problems involving sparse vectors or low-rank matrices areofgreat importance in applied athematics and engineering.They provide a rich and fruitful interaction between algebraic-geometric concepts and convex optimization,with strong synergies with popular techniques like L1 and nuclear norm minimization.In this lecture we will provide a gentle introduction to this exciting research area,highlighting key algebraic-geometric ideas as well as a survey of recent developments,including extensions to very general families of parsimonious models such as sums of a few permutations matrices,low-rank tensors,orthogonal matrices,and atomic measures,as well as the corresponding structure-inducing norms.Based on joint work with Venkat Chandrasekaran,Maryam Fazel,Ben Recht,Sujay Sanghavi,and Alan Willsky.
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