We study mathematical methods and models for analyzing and representing data. Our research combines probability theory and stochastic processes with abstract and linear algebra to understand uncertainty, randomness, and the structure of statistical models.
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Pauliina Ilmonen Professor Multivariate extreme values, functional data analysis, cancer epidemiology |
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Lasse Leskelä Professor Mathematical statistics, probability theory, network analysis |
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Kaie Kubjas Associate Professor Algebraic statistics |
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Vanni Noferini Associate Professor Network analysis, random matrix theory |
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Jukka Kohonen Senior University Lecturer Statistics, combinatorics |
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Jonas Tölle Senior University Lecturer Stochastic processes, probability theory |
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Pekka Pere University Lecturer Statistics |
See the complete list of current members and alumni.
A complete publication list for all group members is available in the Aalto research database.
Excitationinhibition (E/I) balance is a central control parameter of brain dynamics that cannot be directly measured. Instead, it shapes observable signals across spatiotemporal scales and sets the brains operating point in state space. The brain criticality hypothesis links this operating point to the degree of scale invariance in neural activity and thus provides a potential framework for state estimation. However, phase synchrony properties across cortical parcels have not previously been used for this purpose. This thesis aimed to address this by estimating the operating point from the rate at which synchrony entropy increases as a function of mean synchrony. In computational simulations, these estimates agreed with both a reference operating point and amplitude-based measures of scale invariance. The method was then applied to resting-state magnetoencephalography data, where it produced results similar to those observed in the simulations. These findings suggest that phase synchrony properties may provide a basis for estimating the cortical operating point.
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We teach courses in probability and statistics at all levels. Some of the offered courses are eligible as a basis for an SHV degree in insurance mathematics. Doctoral education in probability and statistics is coordinated by the Finnish Doctoral Education Network in Stochastics and Statistics (FDNSS).
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