Monday, April 13, 2015 - 2:00pm - 2:50pm
Andrea Montanari (Stanford University)
Several methods are available to bound the norm of random matrices with independent entries. A more recent line of work studies sums of independent random matrices.
I will present two recent results on the norm of 'non-standard' random matrices, that do not fit in
the above framework. These models arise from applications to statistics and computer science, more
1) Analysis of semidefinite programming hierarchies in combinatorial optimization;
2) Algorithms for sparse covariance estimation in high-dimensional statistics.
Monday, December 9, 2013 - 2:00pm - 2:50pm
Henri Orland (Commissariat à l'Énergie Atomique (CEA))
After reviewing some basic properties of RNA, we show how the problem of RNA folding can be formulated in terms of a matrix field theory. As a consequence, RNA secondary structures can be classified according to their topological genus. After presenting some combinatorics results about RNA structure, we present an overview of the genus distribution of all experimentally known RNA structures. These concepts are used to design two powerful algorithms for the prediction of RNA structures with pseudoknots.
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