Future readings:
Metrical task systems on trees via mirror descent and unfair gluing
Reading List
$\ell_p$ Row Sampling by Lewis Weights
This paper studies row sampling in $\ell_p$ spaces through the notion of Lewis weights. I am interested in it because Lewis weights are one of the main tools behind several modern sparsification results, including the recent paper of James R. Lee and his collaborators on sparsifying sums of norms.
Sparsifying Sums of Norms
The main theme I am interested in is sparsification and, more broadly, the discretization of continuous structures. One of the most beautiful and recent papers I have come across is the work of James R. Lee and his collaborators on the sparsification of sums of norms. To fully understand the technical aspects of this paper and the related unifying theories, I have designed a reading program consisting of papers and books that cover the history, background, and development of the subject.