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researResearch - Télécom Bretagne

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esearc<br />

<strong>researResearch</strong><br />

IBAF<br />

Engineering for banking insurance and finance<br />

Aims and objectives throughout the project<br />

Project Leader :<br />

Jean-Marc Le Caillec<br />

Department:<br />

• Image and Information<br />

Processing<br />

Project team:<br />

Gilles Coppin,<br />

Philippe Lenca,<br />

Sorin Moga,<br />

Jean-Marc Le Caillec,<br />

Didier Guériot,<br />

Grégoire Mercier,<br />

Roger Waldeck.<br />

Publications<br />

Articles in a peer-review journals<br />

[1] Jean-Marc Le Caillec. Time series modeling by a second<br />

Order Hammerstein system. IEEE transactions on signal<br />

processing, january 2008, vol. 56, n° 1, pp. 96-110<br />

[2Jean-Marc Le Caillec. Hypothesis testing for nonlinearity<br />

detection based on an MA model. IEEE transactions on signal<br />

processing, february 2008, vol. 56, n° 2, pp. 816-821<br />

The IBAF project exploits a specific knowhow - that is modelling, signal<br />

processing methods and algorithms - for extracting information from banking,<br />

insurance and finance data. The project went on to aggregate complementary<br />

fields, thereby reinforcing its coherence, eg considering, in the models, the<br />

behaviour of managers in time of crisis, and designing and developing market<br />

simulation platforms or information systems for the three sectors mentioned<br />

to better come to grip with complexity.<br />

Main achievements of the project<br />

Results obtained can be classified<br />

as preliminary research in<br />

stochastic models (particularly nonlinear)<br />

and research more<br />

immediately usable in the<br />

management of portfolios and<br />

market simulation.<br />

From the stochastic model point of<br />

view, work on second order<br />

Hammerstein blind model<br />

identification has been published. In<br />

synthesis, blind identification<br />

consists in identifying a model<br />

having white noise (supposed<br />

Gaussian) on entry and for which<br />

only the exit is available. This means<br />

modelling chronological sequences<br />

or modelling non-linear<br />

micro/macro economic<br />

data interactions on<br />

liquidity values or funds,<br />

for example.<br />

This method of<br />

identification can be<br />

applied for nodes (linear<br />

and quadratic) of infinite<br />

impulsional response<br />

(such as auto-predictive<br />

systems). A hypothetical<br />

evaluation test of<br />

Hammerstein modelling<br />

was proposed.<br />

In a second article, a<br />

paper on an hypothesis test on<br />

modelling chronological series by a<br />

linear system has been published.<br />

This modelling choice (linear vs<br />

non-linear) is crucial in<br />

understanding the evolution of<br />

chronological series whether<br />

financial or other. This particular<br />

hypothesis test relies on a calibrated<br />

parametric model ( so deriving a<br />

finished correlation and the<br />

possibility that its spectral density is<br />

cancelled) contrary to other tests<br />

which rely on autoregressive<br />

models, the latter not being able to<br />

verify these properties.<br />

From an application point of view,<br />

2008 marked the end of the ASUR<br />

project. This project allowed the<br />

application of an algorithm for<br />

rebalancing portfolios based on<br />

hidden Markov models. Results<br />

showed that the algorithm<br />

succeeded in surpassing the<br />

performance of heuristic<br />

management of portfolios generally<br />

used by fund-managers.<br />

2008 also saw an advance in the<br />

CPER (Contrat Projet Etat Région)<br />

project in market simulation, as a<br />

first prototyping of this simulator<br />

was formulated.<br />

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