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Chinese Virtual Observatory. Data Mining in Astronomy. Zhang Yanxia China-VO Group 2006.11.30 in Guilin. Outline. Why What How Example challenge summary. ROSAT ~keV. DSS Optical. IRAS 25 m. 2MASS 2 m. GB 6cm. WENSS 92cm. NVSS 20cm. IRAS 100 m. Astronomy facing “data avalanche”.
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Chinese Virtual Observatory Data Mining in Astronomy Zhang Yanxia China-VO Group 2006.11.30 in Guilin
Outline • Why • What • How • Example • challenge • summary China-VO 2006, Guilin
ROSAT ~keV DSS Optical IRAS 25m 2MASS 2m GB 6cm WENSS 92cm NVSS 20cm IRAS 100m Astronomy facing “data avalanche” Necessity Is the Mother of Invention DM&KDD China-VO 2006, Guilin
Issues in Astronomy Ofer Lahav, 2006, astro-ph/0610703 Summary on the 4th meeting on “Statistical Challenge in Modern Astronomy” held at Penn State University in June 2006 • Compression (e.g. Galaxy images and spectra) • Classification (e.g. Stars, galaxies, or Gamma Ray Bursts) • Reconstruction (e.g. of blurred galaxy images, mass distribution from weak gravitational lensing) • Feature extraction (e.g. signatures feature of stars, galaxies and quasars) • Parameter estimation (e.g. Star parameter measurement, Photometric redshift prediction, orbital parameters of extra-solar planets, or cosmological parameters ) • Model selection (e.g. are there 0,1,2,……planets around stars, or is there a cosmological model with none-zero neutrino mass more favorable) China-VO 2006, Guilin
Science Requirements for DM (Borne K D, 2001, Proc. Of the MPA/ESO/MPE Workshop,671) • Cross-Identification - refers to the classical problem of associating the source list in one database to the source list in another. • Cross-Correlation - refers to the search for correlations, tendencies, and trends between physical parameters in multi-dimensional data, usually across databases. • Nearest-Neighbor Identification - refers to the general application of clustering algorithms in multi-dimensional parameter space, usually within a database. • Systematic Data Exploration - refers to the application of the broad range of event-based and relationship-based queries to a database in the hope of making a serendipitous discovery of new objects or a new class of objects. China-VO 2006, Guilin
KDD: Opportunity and Challenges Competitive Pressure Data Rich Knowledge Poor (the resource) KDD Data Mining Technology Mature Enabling Technology (Interactive MIS, OLAP, parallel computing, Web, etc.) China-VO 2006, Guilin
KDD: A Definition KDD is the automatic extraction of non-obvious, hidden knowledge from large volumes of data. KDD is the automatic extraction of non-obvious, hidden knowledge from large volumes of data. 106-1012 bytes: never see the whole data set or put it in the memory of computers What knowledge? How to represent and use it? Data mining algorithms? China-VO 2006, Guilin
Benefits of Knowledge Discovery Value Disseminate DSS Generate MIS EDP Rapid Response Volume EDP: Electronic Data Processing MIS: Management Information Systems DSS: Decision Support Systems China-VO 2006, Guilin
DM: A KDD Process Knowledge • Data mining: the core of knowledge discovery process. Pattern Evaluation Data Mining Task-relevant Data Selection Data Warehouse Data Cleaning Data Integration Databases
Work at each process of DM DM object Data preparation Data processing Analysis and Evalution 60 50 40 30 20 10 0 China-VO 2006, Guilin
Primary Tasks of Data Mining finding the description of several predefined classes and classify a data item into one of them. identifying a finite set of categories or clusters to describe the data. Clustering Classification finding a model which describes significant dependencies between variables. maps a data item to a real-valued prediction variable. Regression Dependency Modeling discovering the most significant changes in the data finding a compact description for a subset of data Deviation and change detection Summarization China-VO 2006, Guilin
Feature selection • Filter method • Wrapper method • Embedded method • Feature weighted method China-VO 2006, Guilin
Feature extraction • PCA • Factor analysis (Principal FA/Maximum Likelihood FA) • Projection pursuit • ICA • Non-linear PCA/ICA • Random projection • Principal curves • MDS • LLE • ISOMAP • Topological continuous map • Neural network • Vector quantization • Kernel PCA/ICA • LDA (linear discriminant analysis ) • QDA (quadratic discriminant analysis) • FDA (Fisher discriminant analysis) • GDA (Generalized discriminant analysis) • KDDA (kernel direct discriminant analysis) China-VO 2006, Guilin
Classification Methods • Based on statistical theory: SVMs, ML, LDA,FDA,QDA,KNN • Based on NN: LVQ, RBF, PNN, KSOM,BBN,SLP,MLP • Based on Decision Tree: REPTree, RandomTree, CART,C5.0, J48, DecisionStump, RandomForest, NBtree,AC2,Cal5, ADTree,KDTree • Based on Decision Rule: Decision Table,CN2,ITrule, AQ • Based on bayesian theory: Naive Bayes classifier, NBTree • Based on meta learning: adaboost, boosting, bagging • Based on evolution theory: genetic algorithm • Based on fuzzy theory: fuzzy set, rough set • Ensembles of classifiers Data Mining algorithm patterns China-VO 2006, Guilin
Regression Methods • (penalized) logistic regression • Bayesian regression analysis • Additive regression • Locally weighted regression • Voted perceptron network • Projection pursuit regression • Recursive partitioning regression • Alternating condition expectation • Stepwise regression • Recursive least square • Fourier transform regression • Ruled-based regression • Principal component regression • Instance-based regression • Multivariate adaptive regression splines • Regression trees (CART, RETIS, M5,random forest, KDtree) • Simple windowed regression • SVM • NN China-VO 2006, Guilin
Method to estimate errors • Train-test • Cross-validation • Bootstrap • Leave-one-out China-VO 2006, Guilin
Evaluation of methods • Accuracy • Speed • Comprehensibility • Time to learn • Generalization China-VO 2006, Guilin
Model Selection for Classifiction • Accuracy • G-mean • F-measure • ROC (Receive Operating Characteristic Curve) China-VO 2006, Guilin
Model Selection for Regression • AIC(Akaike information criterion) • BIC (Bayesian information criterion) • SRM (Structure Risk Minimization) China-VO 2006, Guilin
Example 1 Lim Jien-sien et al. Machine Learning, 40, 203-229(2000) 33 algorithms on 16 different samples 22 decision trees CART, S-Plus tree, C4.5,FACT,QUEST,IND,OC1,LMDT,CAL5,T1 9 statistical methods LDA,QDA,NN,LOG,FDA,PDA,MDA,POL 2 neural networks LVQ,RBF China-VO 2006, Guilin
Example 1 Lim Jien-sien et al. Machine Learning, 40, 203-229(2000) China-VO 2006, Guilin
Example 2 China-VO 2006, Guilin
Example 3 Zhao,Y, Zhang,Y., 2006, submitted to cospar China-VO 2006, Guilin
Zhang,Y,Zhao,Y, 2006, submitted to CHJAA Example 3 For NB, ADTree MLP, the corresponding whole accuracy amounts to 97.5%, 98.5% and 98.1%, respectively. China-VO 2006, Guilin
Zhang,Y, Luo, A, Zhao,Y, 2006, submitted to Cospar Example 4 By best-forward search, j-h, b-v,j+ 2.5lgFpeak are optimal features selected from the 10 features. Decision Table is applied. 10-fold cross-validation for training and test. 98.03% China-VO 2006, Guilin
Li,Y.,Zhang,Y.,Zhao,Y.,2006,submitted to Chinese Science Example 5 k-Nearest neighbor classifier China-VO 2006, Guilin
Zhang,Y., Zhao, Y., 2006,ADASS XV,351,173 Example 6 China-VO 2006, Guilin
Challenges and Influential Aspects Handling of different types of data with different degree of supervision Massive data sets, high dimensionality (efficiency, scalability) Different sources of data (distributed, heterogeneous databases, noise and missing, irrelevant data, etc.) Interactive, Visualization Knowledge Discovery Understandability of patterns, various kinds of requests and results (decision lists, inference networks, concept hierarchies, etc.) Changing data and knowledge China-VO 2006, Guilin
Summary • Linear or non-linear • Gassian or non-gassian • Continous or discrete • Missing or not • Comparision of the number of attributes with that of records • Choose the appropriate method or ensemble algorithms according to the task and data characteristics China-VO 2006, Guilin
Prospect With the wing of DM, find better or best knowledge! With the wing of DM, find more, better or best knowledge! Thank you for your attention! China-VO 2006, Guilin