Temporal and Spatial Data Mining with Second-Order Hidden Models

Jean-Francois Mari 1 Florence Le Ber 2
1 ORPAILLEUR - Knowledge representation, reasonning
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In the frame of designing a knowledge discovery system, we have developed stochastic models based on high-order hidden Markov models. These models are capable to map sequences of data into a Markov chain in which the transitions between the states depend on the \texttt{n} previous states according to the order of the model. We study the process of achieving information extraction from
spatial and temporal data by means of an unsupervised classification. We use therefore a French national database related to the land use of a region, named Teruti, which describes the land use both in the spatial and temporal domain. Land-use categories (wheat, corn, forest, ...) are logged every year on each site regularly spaced in the region. They constitute a temporal sequence of images in which we look for spatial and temporal dependencies.

The temporal segmentation of the data is done by means of a second-order Hidden Markov Model (\hmmd) that appears to have very good capabilities to locate stationary
segments, as shown in our previous work in speech recognition. The
spatial classification is performed by defining a fractal scanning of
the images with the help of a Hilbert-Peano curve that introduces a
total order on the sites, preserving the relation of
neighborhood between the sites. We show that the \hmmd performs a
classification that is meaningful for the agronomists.

Spatial and temporal classification may be achieved simultaneously by means of a 2 levels \hmmd that measures the \aposteriori probability to map a temporal sequence of images onto a set of hidden classes.
keyword : HMM data mining
Document type :
Journal articles
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https://hal.inria.fr/inria-00000007
Contributor : Jean-François Mari <>
Submitted on : Saturday, May 7, 2005 - 5:59:06 PM
Last modification on : Thursday, January 11, 2018 - 6:19:53 AM
Long-term archiving on : Thursday, April 1, 2010 - 9:25:16 PM

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Jean-Francois Mari, Florence Le Ber. Temporal and Spatial Data Mining with Second-Order Hidden Models. Soft Computing, Springer Verlag, 2005, ⟨10.1007/s00500-005-0501-0⟩. ⟨inria-00000007v1⟩

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