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Theories and Applications of Spatial-Temporal Data Mining and Knowledge Discovery ,[object Object],[object Object],[object Object],[object Object],[object Object]
 
 
a) b)
a) b)
 
 
 
Daily rainfall data of two stations in Pearl River basin of China
 
The monthly sunspot time series.
The Portuguese Stock Index PSI-20 evolution from 1993 to 2002 (adopted from J.A.O. Matos et al. / Physica A 342 (2004) 665 – 676)
Outbreak of Avian Flu in different regions
 
What are the structures and processes hidden in spatial data? ,[object Object],[object Object]
Typhoon Tracks Adapted from Wang and Chan
Typhoon/Hurricane Tracking Objective:  Intensity, track (land falling, recurvature) Object: The space-time track of unusually low sea-     surface air pressure in the x-y-z plane Data: potential temperature, horizontal velocity,    vertical velocity, relative humidity,  horizontal    wind, etc Data: Hundreds and thousands of gigabytes within a    specific time interval
 
 
 
Data Mining in Hyperspectral Images 1. Objective Classification, Pattern Recognition 2. Object Spectral Signatures of Objects   3. Data Spectral, Non-spectral Data 4. Data Volume e.g. : AVIRIS : from 0.4 to 2.45 micrometers, 224 bands   HYDICE : from 0.4 to 2.5 micrometers, 210 bands   Hyperion : from 0.4 to 2.5 micrometers, 220 bands,   30 meter resolution
The Objective of Knowledge Discovery and Data Mining Fayyad:  The discovery of non-trivial, novel,    potentially useful and interpretable   knowledge/information from data Data  Information  Knowledge  Decision
Characteristics of Spatial Data   ,[object Object],2.   Sparse 3.   Diversity 4.   Complex 5.   Dynamic 6.   Redundant 7.   Imperfect (random , fuzzy , granular ,  incomplete , noisy)  8.   Multi-scale
Main Tasks of Spatial Knowledge Discovery and Data Mining   1. Clustering   3. Association 2. Classification Spatial Relations Temporal Relations Spatial-temporal Relations *  In particular : the local-global issue 4. Processes
CLUSTERING ,[object Object],[object Object]
Scale Space Theory ,[object Object],The solution of the above equation is explicitly expressed as where ‘∗’ denotes the convolution operation, g   (x,  σ  ) is the Gaussian function
If the training samples are treated as an imaginary image with expression: Then the corresponding blurred image  f (x,  σ ,   D l ) at scale   σ  can be specified by
Essentials of Clustering by  Scale-space Filtering ,[object Object],2.   Cluster validity check 3.   Clustering validity check 4.   Relevant concepts   (a) life time of a cluster (b) life time of a clustering (c) compactness (d) isolatedness
 
 
 
 
 
 
 
 
 
 
 
 
[object Object],[object Object],a) b)
Temporal segmentation of Strong Earthquakes (Ms≥6.0) of 1290A.D. - 2000A.D.   ,[object Object]
[object Object],[object Object],a) b)
a) b) Ms-time plot of clustering results for earthquakes (Ms≥4.7):  a) 2 clusters in the 74th~112th scale range; b) 18 clusters at the 10th scale step
Temporal Segmentation of Strong Earthquakes (Ms≥4.7) of 1484A.D. - 2000A.D. ,[object Object],[object Object],[object Object],a) b)
[object Object]
 
Advantages of Scale-space Filtering ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
5. Scale Space Clustering Scale-Space Filtering for Simulated Data
5. Scale Space Clustering Scale-Space Filtering for Remote-Sensing Data Clustering Tree Quasi-Light
Clustering by Regression-Classes Decomposition Method
Simple Gaussian Class
Linear Structure
Identification of line objects in remotely sensed data
Ellipsoidal Structure
 
Two ellipsoidal feature extraction
General Curvilinear Structure
Complex Shape Structure
ANALYSIS OF SPATIAL RELATIONSHIP ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Geographically Weighted Regression Hypothesis testing 1.  Ho: No difference between OLR and GWR 2.  Ho: a 1k  = a 2k  = … = a nk
 
 
(Regression-Classes Decomposition Method)
CLASSIFICATION ,[object Object],[object Object],[object Object]
Information Extraction and Classification Neural Networks for Classification--MLP-BP
Some Typical Feedforward Neural Networks  ,[object Object],[object Object],[object Object],[object Object],Figure 8. Perceptrons
[object Object],[object Object],[object Object],[object Object],[object Object],Some Typical Feedforward Neural Networks (con ’ t) Fig. 13. A 2-layer feedforward network for the restaurant problem.
 
 
 
 
 
 
 
[object Object]
 
Typhoon Tracks Adapted from Wang and Chan
Trees by Classification and Regression Tree (CART)  MSW 6/12/18: Maximum Sustained Wind of TC 6/12/18 hours before recurvature.  0: Recurve,1: Straight
[object Object],[object Object],[object Object],Rules by CART
DISCOVERY OF TEMPORAL PROCESSES ,[object Object],[object Object]
[object Object]
Multiplicative Cascade ,[object Object],[object Object]
Schematic representation of cascade (adopted from Puente and Lopez, 1995, Physical Letters A)
 
TEMPORAL ANALYSIS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Multifractal Approach ,[object Object],[object Object]
MF-DFA ,[object Object]
MF-DFA ,[object Object],[object Object],[object Object]
MF-DFA  ,[object Object],[object Object],[object Object],[object Object],[object Object]
MF-DFA ,[object Object],[object Object],[object Object]
MF-DFA ,[object Object]
[object Object]
 
 
 
 
 
 
 
 
Daily rainfall data of two stations in Pearl River basin of China
Log-log plots of  F q  (s)  versus  s  for the daily rainfall time series  of station 56691 in Pearl River basin (left) and Station Chuantang in East River basin (right) with  q =2.
The  h ( q ) curves of daily rainfall time series of stations in the Pearl River basin (left) and stations in the East River basin (right).
The  curves of daily rainfall time series of stations in the Pearl River basin (left) and stations in the East River basin (right).
The  curves of daily rainfall time series of stations in the Pearl River basin (left) and stations in the East River basin (right)
The  curves of daily rainfall time series of 5 stations in the Pearl River basin
The  curves of daily rainfall time series of stations in the Pearl River basin (left) and stations in the East River basin (right).
The  curves of daily rainfall time series of stations in the Pearl River basin (left) and stations in the East River basin (right). The real lines are their cascade model fitting.
The correlation relationship between the altitude of the rainfall stations in the East River basin and the  D (2) value of the rainfall time series.
Elevation of rainfall stations in the East River basin with the  D2  values of their rainfall data.  Elevation (m above MSL)
DISCOVERY OF KNOWLEDGE STRUCTURES ,[object Object]
[object Object]
 
Spatial Concept/Class and Data Encapsulation
Concept Hierarchy
Inheritance
Generalization and Specialization
  Summary ,[object Object],[object Object],[object Object]
Yee Leung. Knowledge Discovery in Spatial Data. Berlin: Springer-Verlag, 2010. [email_address] IGU-Commission on Modeling Geographical Systems http://www.science.mcmaster.ca/~igu~cmgs/

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