In the past few years, there have been many efforts to develop analytica
l methodologies for optimizing very ultra-dense networks, especially by usi
ng the mathematical tools of stochastic geometry and point processes. At th
e time of writing, however, we have understood that many proposed approache
s have (at least one of the) two main limitations that

make them unsui
table for optimizing cellular networks:

- Limitation 1: Due to the
analytical complexity of the problem at hand, key system approximations ne
ed to be applied, which make the resulting analytical frameworks unsuitable
for system optimization (relevant design

parameters are not taken int o account). - Limitation 2: Realistic network models result in analyt ical frameworks that are too complex to gain any insights on the fundamenta l properties of the networks and to perform large-scale optimization (the o bjective functions are non-convex and have multiple integrals).

In this talk, I will describe two recent approaches that I have recently**proposed to overcome the two limitations mentioned above:**

**M. Di Renzo et al., “System-Level Modeling and Optimization of the Energy Eff iciency in Cellular Networks - A Stochastic Geometry Framework”, IEEE Trans actions on Wireless Communications, Vol. 17, No. 4, pp. 2539-2556, April 20 18.****M. Di Renzo et al., “Inhomogeneous Double Thinning - Modeling a nd**

Analysis of Cellular Networks by Using Inhomogeneous Poisson Point< br />Processes”, IEEE Transactions on Wireless Communications, Vol. 17,

No. 8, pp. 5162-5182, August 2018.

**In the first paper, I have
introduced a new analytical formulation of the coverage probability that I
proved to be accurate and suitable for systemlevel optimization. In the se
cond paper, I have introduced a new approach based on the theory of inhomog
eneous Poisson point processes for modeling and analyzing communication net
works with spatial correlations (either attractive or repulsive).**

** **

**Bio:Marco Di Renzo (S’05–AM’07–M’09–SM’14) received the Laurea d
egree (cum laude) and the Ph.D. degree in electrical engineering from the U
niversity of L’Aquila, Italy, in 2003 and 2007, respectively, and the D.Sc.
degree (Habilitation à diriger des recherches) from the University of
Paris-Sud, France, in 2013. Since 2010, he has been a CNRS Associate Profe
ssor (Chargé de Recherche Titulaire CNRS) with the Laboratory of Signals an
d Systems, Paris-Saclay University-CNRS, CentraleSupélec, University of Par
is-Sud, Paris, France. His research interests include wireless communicatio
ns, communication theory, and stochastic geometry. He currently serves as a
n Editor of the IEEE Communications Letters and the IEEE Trans. on Communi
cations. He is a Distinguished Lecturer of the Communications Society and t
he IEEE Vehicular Technology Society. He is a recipient of several research
distinctions, which include the 2013 Network of Excellence NEWCOM# Best Pa
per Award, the 2013 IEEE-COMSOC Best Young Researcher Award for Europe, Mid
dle East and Africa (EMEA Region), the 2015 IEEE Jack Neubauer Memorial Bes
t System Paper Award, the 2015 Distinguished Visiting Fellow of the Royal A
cademy of Engineering, U.K., the 2015-2018 CNRS Award for Excellence in Res
earch and in Advising Doctoral Students, the 2016 MSCA Global Fellowship, a
s well as 6 Best Paper Awards at IEEE conferences. He is the project coordi
nator of two EU-funded multi-partner projects (ETN-5Gwireless and ETN-5Gaur
a).**