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The logarithmic Brunn-Minkowski inequality conjecture is one of the most intriguing challenges in convex geometry since 2012. Notably, this conjectured inequality is stronger than the celebrated Brunn...
Convexity is omnipresent in mathematics and the mathematical sciences. During the past ten years, there has been intensive research in convex geometry. Methods and techniques from different fields hav...
Scalable Frames and Convex Geometry     Scalable frames  tight frames  preconditioning  Farkas’s lemma       font style='font-size:12px;'> 2015/12/10
The recently introduced and characterized scalable frames can be considered as those frames which allow for perfect preconditioning in the sense that the frame vectors can be rescaled to yield a tight...
The Convex Geometry of Linear Inverse Problems      Convex optimization  semidefinite programming  atomic norms       font style='font-size:12px;'> 2011/1/17
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimen...
The Convex Geometry of Linear Inverse Problems     The Convex Geometry  Linear Inverse Problems       font style='font-size:12px;'> 2011/1/4
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimensi...

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