Lecture notes
Research articles
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Sharp constants relating the sub-Gaussian norm and the sub-Gaussian parameter
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Robust estimation of a Markov chain transition matrix from multiple sample paths
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Consistent line clustering using geometric hypergraphs
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Consistent spectral clustering in sparse tensor block models
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Community detection on block models with geometric kernels
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Community recovery in non-binary and temporal stochastic block models
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Information divergences and likelihood ratios of Poisson processes and point patterns
- IEEE Transactions on Information Theory 2024
- L Leskelä
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Connectivity of random hypergraphs with a given hyperedge size distribution
- Discrete Applied Mathematics 2024
- E Bergman, L Leskelä
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Spatial queues with nearest neighbour shifts
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Clique and cycle frequencies in a sparse random graph model with overlapping communities
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Normal and stable approximation to subgraph counts in superpositions of Bernoulli random graphs
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Distinguishing subsampled power laws from other heavy-tailed distributions
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The influence of cross-border mobility on the COVID-19 epidemic in Nordic countries
- PLOS Computational Biology 2024
- M Shubin, H Kjelgaard Brustad, J Eriksson Midtbø, F Günther, L Alessandretti,
T Ala-Nissila, G Scalia Tomba, M Kivelä, L Yat Hin Chan, L Leskelä
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Recovering static and time-varying communities using persistent edges
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Clustering and percolation on superpositions of Bernoulli random graphs
- Random Structures & Algorithms 2023
- M Bloznelis, L Leskelä
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Optimal intervention strategies for minimizing total incidence during an epidemic
- SIAM Journal on Applied Mathematics 2023
- T Britton, L Leskelä
- The most read article of Siam J Appl Math in 2023
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Persistence in a large network of locally interacting neurons
- Journal of Mathematical Biology 2023
- M Altamirano, R Cortez, M Jonckheere, L Leskelä
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Estimating inter-regional mobility during disruption: a data fusion approach
- Travel Behaviour and Society 2023
- S Heydari, Z Huang, T Hiraoka, A Ponce de León Chávez, T Ala-Nissila, L Leskelä, M Kivelä, J Saramäki
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Multilayer hypergraph clustering using the aggregate similarity matrix
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A network community detection method with integration of data from multiple layers and node attributes
- Network Science 2023
- H Reittu, L Leskelä, T Räty
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Adaptive and optimized COVID-19 vaccination strategies across geographical regions and age groups
- PLOS Computational Biology 2022
- J Molla, A Ponce de León Chávez, T Hiraoka, T Ala-Nissila, M Kivelä, L Leskelä
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Ross's second conjecture and supermodular stochastic ordering
- Queueing Systems 2022
- L Leskelä
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Assortativity and bidegree distributions on Bernoulli random graph superpositions
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Consistent Bayesian community recovery in multilayer networks
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Towards analyzing large graphs with quantum annealing and quantum gate computers
- H Reittu, V Kotovirta, L Leskelä, H Rummukainen, T Räty
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Recovering communities in temporal networks using persistent edges
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Pathwise Stieltjes integrals of discontinuously evaluated stochastic processes
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First passage percolation in sparse random graphs with boundary weights
- Journal of Applied Probability 2019
- L Leskelä, H Ngo
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Towards analyzing large graphs with quantum annealing
- IEEE Big Data 2019
- H Reittu, V Kotovirta, L Leskelä, H Rummukainen, T Räty
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Analysis of large sparse graphs using regular decomposition of graph distance matrices
- IEEE Big Data 2018
- H Reittu, L Leskelä, T Räty, M Fiorucci
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Parameter estimators of sparse random intersection graphs with thinned communities
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Conditional convex orders and measurable martingale couplings
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The impact of degree variability on connectivity properties of large networks
- Internet Mathematics 2017 / WAW 2015
- L Leskelä, H Ngo
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Moment-based parameter estimation in binomial random intersection graph models
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Diclique clustering in a directed random graph
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Information spreading in a large population of active transmitters and passive receivers
- SIAM Journal on Applied Mathematics 2015
- P Aalto, L Leskelä
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Geometric juggling with q-analogues
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Flow coupling and stochastic ordering of throughputs in linear networks
- Valuetools 2014
- L Leskelä
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Hard-core thinnings of germ–grain models with power-law grain sizes
- Advances in Applied Probability 2013
- M Kuronen, L Leskelä
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Stochastic order characterization of uniform integrability and tightness
- Statistics & Probability Letters 2013
- L Leskelä, M Vihola
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Stability of a spatial polling system with greedy myopic service
- Annals of Operations Research 2012
- L Leskelä, F Unger
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Juggler's exclusion process
- Journal of Applied Probability 2012
- L Leskelä, H Varpanen
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A dilution test for the convergence of subseries of a monotone series
- Journal of Classical Analysis 2012
- L Leskelä, M Stenlund
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A local limit theorem for a transient chaotic walk in a frozen environment
- Stochastic Processes and their Applications 2011
- L Leskelä, M Stenlund
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Stochastic relations of random variables and processes
- Journal of Theoretical Probability 2010
- L Leskelä.
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Interacting branching processes and linear file-sharing networks
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Computational methods for stochastic relations and Markovian couplings
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Stability of parallel queueing systems with coupled service rates
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Stochastic bounds for two-layer loss systems
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Scaling limits for random fields with long-range dependence
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A tandem queueing network with feedback admission control
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Stabilization of an overloaded queueing network using measurement-based admission control
- Journal of Applied Probability 2006
- L Leskelä
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Does repacking improve performance of multiclass loss networks with overflow routing?
Theses
Posters
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Stochastic ordering of network throughputs using flow couplings
(pdf)
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Stochastic relations of random variables and processes
(pdf)
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Stability of parallel queueing systems with coupled service rates
(pdf)
Software
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STOCHREL – A Matlab Stochastic Relations Package
- Version 1.0 released 2008-10-01