Lasse Leskelä
Institutionen för matematik och systemanalys

Lasse Leskelä

Professor (Associate Professor)

Kontakt information

Postadress
Otakaari 1
Mobile phone
+358504349947
Full researcher profile
https://research.aalto.fi/...

Beskrivning

My research area is stochastics, the mathematical theory of random events, systems, and processes. The main focus is statistical network models and random graphs, together with random dynamical systems and stochastic processes acting on networks. The general objective is to derive fundamental mathematical laws for predicting the macroscopic behavior of large random systems and describing the accuracy of statistical learning algorithms for large network models. Such laws allow to make predictions using massive high-dimensional data sets for which classical methods of statistics and machine learning are often infeasible. Statistical network models under study include random intersection graphs, stochastic block models, and graphons. The archetypes of stochastic dynamics studied are branching processes, random walks, and first passage percolation. The formulas and methods have a wide range of applications ranging from information and social networks to biological and financial systems.

Kompetensområden

Probability theory Stochastic processes Random dynamical systems Stochastic network models Queueing Theory Applied probability Stochastics

Utmärkelser

Award or honor granted for academic career
Institutionen för matematik och systemanalys
Jan 2000

McKinsey Prize McKinsey Prize for the best MSc degree completed in 1999 at the Helsinki University of Technology.

Award or honor granted for a specific work
Institutionen för matematik och systemanalys
Jan 2000

Varma-Sampo MSc thesis prize, Finnish Mathematical Society

Publikationer

Institutionen för matematik och systemanalys

First passage percolation in sparse random graphs with boundary weights

Publishing year: 2019 Journal of Applied Probability
Institutionen för matematik och systemanalys

Analysis of large sparse graphs using regular decomposition of graph distance matrices

Publishing year: 2019 Proceedings - 2018 IEEE International Conference on Big Data, Big Data 2018
Institutionen för matematik och systemanalys

Parameter Estimators of Sparse Random Intersection Graphs with Thinned Communities

Publishing year: 2018 Algorithms and Models for the Web Graph
Institutionen för matematik och systemanalys

Pathwise Stieltjes integrals of discontinuously evaluated stochastic processes

Publishing year: 2018 Stochastic Processes and their Applications
Institutionen för matematik och systemanalys

Moment-based parameter estimation in binomial random intersection graph models

Publishing year: 2017 Algorithms and Models for the Web Graph
Institutionen för matematik och systemanalys

The impact of degree variability on connectivity properties of large networks

Publishing year: 2017 INTERNET MATHEMATICS
Institutionen för matematik och systemanalys

Conditional convex orders and measurable martingale couplings

Publishing year: 2017 Bernoulli
Institutionen för matematik och systemanalys

Diclique clustering in a directed random intersection graph

Publishing year: 2016 Algorithms and Models for the Web Graph
Institutionen för matematik och systemanalys

Information spreading in a large population of active transmitters and passive receivers

Publishing year: 2015 SIAM Journal on Applied Mathematics
Institutionen för matematik och systemanalys

Geometric juggling with q-analogues

Publishing year: 2015 Discrete Mathematics