MATHEMATICS AND COMPUTER SCIENCE
Data Science, Machine Learning, and Information Theory
We are at the center of a revolution in information technology, with data being the most valuable commodity. Exploiting this exploding number of data sets requires to address complex inference problems, and the Mondelli group works to develop mathematically principled solutions.
These inference problems span different fields and arise in a variety of applications coming from engineering and natural sciences. In particular, the Mondelli group focuses on wireless communications and machine learning. In wireless communications, given a transmission channel, the goal is to send information encoded as a message while optimizing for certain metrics, such as complexity, reliability, latency, throughput, or bandwidth. In machine learning, given a model for the observations, the goal is to understand how many samples convey sufficient information to perform a certain task and what are the optimal ways to utilize such samples. Both the vision and the toolkit adopted by the Mondelli group are inspired by information theory, which leads to the investigation of the following fundamental questions: What is the minimal amount of information necessary to solve an assigned inference problem? Given this minimal amount of information, is it possible to design a low-complexity algorithm? What are the fundamental trade-offs between the parameters at play (e.g., dimensionality of the problem, size of the data sample, complexity)?
Marco Mondelli will start work at IST Austria on September 1, 2019.
On this site:
Fundamental limits and efficient algorithms for deep learning | Non-convex optimization in high-dimensions | Optimal code design for short block lengths
Mondelli M, Montanari A. 2019. Fundamental limits of weak recovery with applications to phase retrieval. Foundations of Computational Mathematics. 19(3), 703–773. View
Mondelli M, Hassani H, Urbanke R. 2019. Construction of polar codes with sublinear complexity. IEEE. 65(5), 2782–2791. View
Hashemi SA, Doan N, Mondelli M, Gross W. 2018. Decoding Reed-Muller and polar codes by successive factor graph permutations. 2018 IEEE 10th International Symposium on Turbo Codes & Iterative Information Processing. ISTC: Symposium on Turbo Codes & Iterative Information Processing 1–5. View
Doan N, Hashemi SA, Mondelli M, Gross WJ. 2018. On the decoding of polar codes on permuted factor graphs. 2018 IEEE Global Communications Conference . GLOBECOM: Global Communications Conference View
Fazeli A, Hassani H, Mondelli M, Vardy A. 2018. Binary linear codes with optimal scaling: Polar codes with large kernels. 2018 IEEE Information Theory Workshop. ITW: Information Theory Workshop 1–5. View
since 2019 Assistant Professor, IST Austria
2017 – 2019 Postdoc, Stanford University, Stanford, USA
2018 Research Fellow, Simons Institute for the Theory of Computing, Berkeley, USA
2016 PhD, EPFL, Lausanne, Switzerland
2019 Lopez-Loreta Prize
2018 Simons-Berkeley Research Fellowship
2018 EPFL Doctorate Award
2017 Early Postdoc Mobility Fellowship, Swiss National Science Foundation
2016 Best Paper Award, ACM Symposium on Theory of Computing (STOC)
2015 Best Student Paper Award, IEEE International Symposium on Information Theory (ISIT)
2015 Dan David Prize Scholarship