Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Research Unit 1735

Preparatory material

• Giovanni Peccati's lectures will in parts be based on material contained in the edited volume Stochastic Analysis for Poisson Point Processes, G. Peccati and M. Reitzner (eds.), Springer, 2016.                                        A forthcoming monograph by G. Last and M. Penrose with "Lectures on the Poisson Process" also contains important material.
• Joel Tropp's lectures will be based on a subset of the following articles:  

J.A. Tropp (2015): Convex recovery of a structured signal from independent random linear measurements. in: Sampling Theory, a Renaissance, Birkhäuser.

V. Chandrasekaran et al. (2012): Convex geometry of linear inverse problems. Foundations of Computational Mathematics 12, 805-849.

D. Amelunxen et al. (2014): Living on the edge: Phase transitions in convex programs with random data. Available at https://arxiv.org/abs/1303.6672.

M.B. McCoy and J.A. Tropp (2014): From Steiner formulas for cones to concentration of intrinsic volumes. Discrete and Computational Geometry 51, 926-963.

C. Thrampoulidis, S. Oymak, and B. Hassibi (2015): The Gaussian min-max theorem in the presence of convexity. Available at https://arxiv.org/abs/1408.4837.

S. Oymak and J.A. Tropp (2015): Universality laws for randomized dimension reduction, with applications. Available at https://arxiv.org/abs/1511.09433.

C. Thrampoulidis (2016): Recovering structured signals in high-dimensions via non-smooth convex optimization: Precise performance analysis. PhD thesis, available at http://resolver.caltech.edu/CaltechTHESIS:06032016-144604076.

Lorenzo Rosasco's notes on Regularization methods in large scale machine learning with exercises at the end.

Exercises to Giovanni Peccati's lecturees.

Joel Tropp's slides.

Poster Session

All participants are encouraged to present their work in a poster session.

Participants Short Introduction

All participants briefly introduce themselves and their research interests within about 3 minutes on Monday afternoon, supported by one or at most two slides. Please send your slide(s) by March 1 as a single .pdf-file to for1735.math@lists.uni-hamburg.de.