Illia Horenko

Illia undMuck square
Phone
+41 58 666 4123
Address
Institute of Computational Science
Faculty of Informatics
Via Giuseppe Buffi 13
6900 Lugano
Switzerland
Mail
illia.horenko-at-usi.ch

Illia Horenko

Research Project in SPP 1927 "MetStroem"

Meteorl klein

The DFG SPP 1276 'MetStröm' covers the expertise of Meteorology, Fluid Dynamics, and Applied Mathematics to develop model- as well as grid-adaptive numerical simulation concepts in multidisciplinary projects. The goal of our part of this interdisciplinary research programm is the development and analysis of new data-based stochastic models for describing the low-scale phenomena in turbulent flows and meteorological data observations. Hence, new methods for clustering time series, that allow a simultaneous dimension reduction of the observed multiscale phenomena and a hidden state identification have to be evolved. Here, a cutting-edge PDE-approach involving FEM-based clustering algorithms, represents a promissing technique, that delivers the desired features and will be implemented and analysed in future research.

Research Project E8 in DFG-Center MATHEON

Finance 2

Numerical Multidimensional Time Series Analysis for Portfolio Optimization Recent developments in time series analysis led to advanced techniques in clustering theory. These algorithms can be used to get additional information out of a financial time series which could be incorporated in modern portfolio theory. Another aspect of the research project is given by the search for robust optimization methods for investment. An implementation of this concept can be seen at www.portfolio-calculator.com.

Research Projekt "Advanced Methods of Time Series Analysis and their Application to Climate Research and Insurance Risk Optimization" in CSS

Meteorl klein

The project is aimed at development and application of data-analysis techniques and advanced climate/weather models in the field of climate change research and insurance risk minimization. Meteorological data are multidimensional, nonlinear, and non-stationary. The extension of existing and development of new methods of time series analysis is required to deal with such data (e.g. understand and forecast the underlying trend). Climate change is expected to entail a rise of extreme rare events with catastrophic consequences. The prediction of such events is essential for the minimization of the risk insurance. Keyword at this point is Large Deviation Theory

Research Project "Conformation Dynamics Algorithms" in DFG-Center MATHEON

dens2 02

This is a joint project with the Biocomputing Group. The aim of the project is to develop novel mathematical models and associated efficient and reliable algorithms for computing the dynamics of biomolecular conformations.

SNF Project: AnaGraph

graph politics

The objective behind the AnaGraph project is the provision of new HPC tools for data driven analysis of dynamical systems, that have Markovian properties and are acting on discrete space e.g. transitions between individual political preferences, atmospherical circulation patterns or transitions between different market phases. Such systems can be described by graphs where the topology is changing with time and can be influenced by external factors. The tools should provide a possibility of precise model extraction of the temporary topology changes without having strong a priori assumptions like stationarity about the underlying dynamics. Handling of ill-posedness, high dimensionality of data and incompleteness of observations are the arising challenges, that make the provision of a scalable implementation a hard task.

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