Lecture notes
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Random graphs and network statistics
- Aalto University 2019
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Stochastic processes
- Aalto University 2020
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Stokastiikka ja tilastollinen ajattelu
- Aalto University 2017
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Stokastiset prosessit
- Aalto University 2018
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Stokastiikan perusteet
- University of Jyväskylä 2013
Network statistics
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Distinguishing subsampled power laws from other heavy-tailed distributions
- Physical Review E 2024+
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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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Recovering static and time-varying communities using persistent edges
- IEEE Transactions on Network Science and Engineering 2024
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Multilayer hypergraph clustering using the aggregate similarity matrix
- WAW 2023
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A network community detection method with integration of data from multiple layers and node attributes
- Network Science 2023
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Consistent Bayesian community recovery in multilayer networks
- ISIT 2022
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Towards analyzing large graphs with quantum annealing and quantum gate computers
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Recovering communities in temporal networks using persistent edges
- CSoNet 2021
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Towards analyzing large graphs with quantum annealing
- IEEE Big Data 2019
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Analysis of large sparse graphs using regular decomposition of graph distance matrices
- IEEE Big Data 2018
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Parameter estimators of sparse random intersection graphs with thinned communities
- WAW 2018
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Moment-based parameter estimation in binomial random intersection graph models
- WAW 2017
Random graphs
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Connectivity of random hypergraphs with a given hyperedge size distribution
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Clique and cycle frequencies in a sparse random graph model with overlapping communities
- Stochastic Models 2024
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Normal and stable approximation to subgraph counts in superpositions of Bernoulli random graphs
- Journal of Applied Probability 2024
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Clustering and percolation on superpositions of Bernoulli random graphs
- Random Structures & Algorithms 2023
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Assortativity and bidegree distributions on Bernoulli random graph superpositions
- Probability in the Engineering and Informational Sciences 2022 / WAW 2020
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First passage percolation in sparse random graphs with boundary weights
- Journal of Applied Probability 2019
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The impact of degree variability on connectivity properties of large networks
- Internet Mathematics 2017 / WAW 2015
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Diclique clustering in a directed random graph
- WAW 2016
Mathematical biology
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The influence of cross-border mobility on the COVID-19 epidemic in Nordic countries
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Optimal intervention strategies for minimizing total incidence during an epidemic
- SIAM Journal on Applied Mathematics 2023
- 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
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Estimating inter-regional mobility during disruption: a data fusion approach
- Travel Behaviour and Society 2023
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Adaptive and optimized COVID-19 vaccination strategies across geographical regions and age groups
- PLOS Computational Biology 2022
Probability theory and analysis
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Conditional convex orders and measurable martingale couplings
- Bernoulli 2017
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Stochastic order characterization of uniform integrability and tightness
- Statistics & Probability Letters 2013
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A dilution test for the convergence of subseries of a monotone series
- Journal of Classical Analysis 2012
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Stochastic relations of random variables and processes
- Journal of Theoretical Probability 2010
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Computational methods for stochastic relations and Markovian couplings
- SMCTools 2009
Stochastic processes and random fields
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Information divergences and likelihood ratios of Poisson processes and point patterns
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Pathwise Stieltjes integrals of discontinuously evaluated stochastic processes
- Stochastic Processes and their Applications 2019
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Information spreading in a large population of active transmitters and passive receivers
- SIAM Journal on Applied Mathematics 2015
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Geometric juggling with q-analogues
- Discrete Mathematics 2015
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Hard-core thinnings of germ–grain models with power-law grain sizes
- Advances in Applied Probability 2013
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Stability of a spatial polling system with greedy myopic service
- Annals of Operations Research 2012
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Juggler's exclusion process
- Journal of Applied Probability 2012
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A local limit theorem for a transient chaotic walk in a frozen environment
- Stochastic Processes and their Applications 2011
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Scaling limits for random fields with long-range dependence
- Annals of Probability 2007
Queueing systems
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Spatial queues with nearest neighbour shifts
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Ross's second conjecture and supermodular stochastic ordering
- Queueing Systems 2022
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Flow coupling and stochastic ordering of throughputs in linear networks
- Valuetools 2014
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Interacting branching processes and linear file-sharing networks
- Advances in Applied Probability 2010
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Stochastic bounds for two-layer loss systems
- Stochastic Models 2008
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Stability of parallel queueing systems with coupled service rates
- Discrete Event Dynamic Systems 2008
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A tandem queueing network with feedback admission control
- NET-COOP 2007
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Stabilization of an overloaded queueing network using measurement-based admission control
- Journal of Applied Probability 2006
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Does repacking improve performance of multiclass loss networks with overflow routing?
- ITC 2005
Theses
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Comparison and scaling methods for performance analysis of stochastic networks
- DSc thesis, Helsinki University of Technology, 2005
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Implementing arithmetic for elliptic curve cryptosystems
- MSc thesis, Helsinki University of Technology, 1999
Posters
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Stochastic ordering of network throughputs using flow couplings
(pdf)
- 10th Stochastic Networks Conference, 18–22 June 2012, Massachusetts Institute of Technology, Cambridge, USA
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Stochastic relations of random variables and processes
(pdf)
- 8th Stochastic Networks Conference, 23–28 June 2008, École Normale Supérieure, Paris, France
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Stability of parallel queueing systems with coupled service rates
(pdf)
- BRICKS Midterm Symposium, 13 March 2007, Centrum Wiskunde & Informatica, Amsterdam, the Netherlands
Software
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STOCHREL – A Matlab Stochastic Relations Package
- Version 1.0 released 2008-10-01