Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Visual Data Mining: An Overview What is Visual Data Mining? Survey of techniques Data Visualization Visualizing Data Mining Results Visual Data Mining What Is Visual Data Mining? Visual data mining “discovers implicit and useful knowledge from large data sets using data and/or knowledge visualization techniques” Data visualization + Data mining techniques Why Visual Data Mining? Advantages of human visual system Highly parallel processor Sophisticated reasoning engine Large knowledge base Can be used to comprehend data distributions, patterns, clusters, and outliers Actionable Evaluation Flexibility User Interaction Data Mining Algorithms + + – – Visualization – – + + Why Not Only Visual Data Mining? Disadvantages of human visual system Needs training Not automated Intrinsic bias Limit of about 106 or 107 observations (Wegman 1995) Power of integration with analytical methods Scope of Visual Data Mining Visualization: Use of computer graphics to create visual images which aid in the understanding of complex, often massive representations of data Visual Data Mining: The process of discovering implicit but useful knowledge from large data sets using visualization techniques Computer Graphics High Performance Computing Multimedia Systems Pattern Recognition Human Computer Interfaces Purpose of Visualization Gain insight into an information space by mapping data onto graphical primitives Provide qualitative overview of large data sets Search for patterns, trends, structure, irregularities, relationships among data Help find interesting regions and suitable parameters for further quantitative analysis Provide a visual proof of computer representations derived Visual Data Mining & Data Visualization Integration of visualization and data mining data visualization data mining result visualization data mining process visualization interactive visual data mining Data visualization Data in a database or data warehouse can be viewed at different levels of abstraction as different combinations of attributes or dimensions Data can be presented in various visual forms Abilities of Humans and Computers abilities of the computer Data Storage Numerical Computation Searching Logic Planning Diagnosis Prediction Perception Creativity General Knowledge human abilities Visual Mining vs. Scientific Vis. & Graphics Scientific Visualization Often visualize physical model, low dimensionality Graphics More concerned with how to render (draw) rather than what to render Data Visualization View data in database or data warehouse User may control Different levels of details Subset of attributes Drawn using boxplots, histograms, polylines, etc. Historical Overview of Exploratory Data Visualization Techniques (cf. [WB 95]) Pioneering works of Tufte [Tuf 83, Tuf 90] and Bertin [Ber 81] focus on Visualization of data with inherent 2D-/3D-semantics General rules for layout, color composition, attribute mapping, etc. Development of visualization techniques for different types of data with an underlying physical model Geographic data, CAD data, flow data, image data, voxel data, etc. Development of visualization techniques for arbitrary multidimensional data (w.o. an underlying physical model) Applicable to databases and other information resources Dimensions of Exploratory Data Visualization Data Visualization Techniques Geometric Icon-based Distortion Techniques Pixel-oriented Complex Hierarchical Graph-based Simple Interaction Techniques Mapping Projection Filtering Link & Brush Zooming Classification of Data Visualization Techniques Geometric Techniques: Scatterplots, Landscapes, Projection Pursuit, Prosection Views, Hyperslice, ParallelCoordinates... Icon-based Techniques: Chernoff Faces, Stick Figures, Shape-Coding, Color Icons, TileBars,... Pixel-oriented Techniques: Recursive Pattern Technique, Circle Segments Technique, Spiral- & AxesTechniques,... Hierarchical Techniques: Dimensional Stacking, Worlds-within-Worlds,Treemap, Cone Trees, InfoCube,... Graph-Based Techniques: Basic Graphs (Straight-Line, Polyline, Curved-Line,...) Specific Graphs (e.g., DAG, Symmetric, Cluster,...) Systems (e.g., Tom Sawyer, Hy+, SeeNet, Narcissus,...) Hybrid Techniques: arbitrary combinations from above Distortion & Dynamic/Interaction Techniques Distortion Techniques Simple Distortion (e.g. Perspective Wall, Bifocal Lenses, TableLens, Graphical Fisheye Views,...) Complex Distortion (e.g. Hyperbolic Repr. Hyperbox,...) Dynamic/Interaction Techniques Data-to-Visualization Mapping (e.g. Auto Visual, S Plus, XGobi, IVEE,...) Projections: (e.g. GrandTour, S Plus, XGobi,...) Filtering (Selection, Querying) (e.g. MagicLens, Filter/Flow Queries, InfoCrystal,...) Linking & Brushing (e.g. Xmdv-Tool, XGobi, DataDesk,...) Zooming (e.g. PAD++, IVEE, DataSpace,...) Detail on Demand (e.g. IVEE, TableLens, MagicLens, VisDB,...) Visual Survey Data visualization techniques Scatterplot Matrices, Landscapes, Parallel Coordinates Icon-based, Dimensional Stacking, Treemaps Direct Visualization Ribbons with Twists Based on Vorticity Geometric Techniques Basic Idea Visualization of geometric transformations and projections of the data Methods Landscapes [Wis 95] Projection Pursuit Techniques [Hub 85] (a techniques for finding meaningful projections of multidimensional data) Scatterplot-Matrices [And 72, Cle 93] Prosection Views [FB 94, STDS 95] Hyperslice [WL 93] Parallel Coordinates [Ins 85, ID 90] Used by ermission of M. Ward, Worcester Polytechnic Institute Scatterplot-Matrices [Cleveland 93] matrix of scatterplots (x-y-diagrams) of the k-dimensional data [total of (k2/2-k) scatterplots] Used by permission of B. Wright, Visible Decisions Inc. Landscapes [Wis 95] news articles visualized as a landscape Visualization of the data as perspective landscape The data needs to be transformed into a (possibly artificial) 2D spatial representation which preserves the characteristics of the data Parallel Coordinates [Ins 85, ID 90] n equidistant axes which are parallel to one of the screen axes and correspond to the attributes the axes are scaled to the [minimum, maximum]―range of the corresponding attribute every data item corresponds to a polygonal line which intersects each of the axes at the point which corresponds to the value for the attribute • • • Attr. 1 Attr. 2 Attr. 3 Attr. k Parallel Coordinates Icon-Based Techniques Basic Idea Visualization of the data values as features of icons Overview Chernoff-Faces [Che 73, Tuf 83] Stick Figures [Pic 70, PG 88] Shape Coding [Bed 90] Color Icons [Lev 91, KK 94] TileBars [Hea 95] (use of small icons representing the relevance feature vectors in document retrieval) Stick Figures census data showing age, income, sex, education, etc. Hierarchical Techniques Basic Idea: Visualization of the data using a hierarchical partitioning into subspaces. Overview Dimensional Stacking [LWW 90] Worlds-within-Worlds [FB 90a/b] Treemap [Shn 92, Joh 93] Cone Trees [RMC 91] InfoCube [RG 93] Dimensional Stacking [LWW 90] attribute 4 attribute 2 attribute 3 attribute 1 partitioning of the n-dimensional attribute space in 2dimensional subspaces which are ‘stacked’ into each other partitioning of the attribute value ranges into classes the important attributes should be used on the outer levels adequate especially for data with ordinal attributes of low cardinality Dimensional Stacking Visualization of oil mining data with longitude and latitude mapped to the outer x-, y-axes and ore grade and depth mapped to the inner x-, y-axes Used by permission of M. Ward, Worcester Polytechnic Institute Dimensional Stacking Disadvantages: Difficult to display more than nine dimensions Important to map dimensions appropriately May be difficult to understand visualizations at first Treemap [JS 91, Shn 92, Joh 93] Screen-filling method which uses a hierarchical partitioning of the screen into regions depending on the attribute values The x- and y-dimension of the screen are partitioned alternately according to the attribute values (classes) MSR Netscan image: Treemap of a File System (Schneiderman) Treemaps The attributes used for the partitioning and their ordering are user-defined (the most important attributes should be used first) The color of the regions may correspond to an additional attribute Suitable to get an overview over large amounts of hierarchical data (e.g., file system) and for data with multiple ordinal attributes (e.g., census data) Data Mining Result Visualization Presentation of the results or knowledge obtained from data mining in visual forms Examples Scatter plots and boxplots (obtained from descriptive data mining) Decision trees Association rules Clusters Outliers Generalized rules Text mining Boxplots from Statsoft: Multiple Variable Combinations Visualization of Data Mining Results in SAS Enterprise Miner: Scatter Plots Visualization of Association Rules in SGI/MineSet 3.0 Visualization of Decision Tree in SGI/MineSet 3.0 Vizualization of Decision Trees Visualization of Cluster Grouping IBM Intelligent Miner Association Rules (MineSet) LHS and RHS items are mapped to x-, y-axis Confidence, support correspond to height of the bar or disc, respectively Interestingness is mapped to Color MineSet: Association Rules Association Ball Graph (DBMiner) Items are visualized as balls Arrows indicate rule implication Size represents support Classification (SAS EM [SAS 01]) Tree Viewer Color corresponds to relative frequency of a class in a node Branch line thickness is proportional to the square root of the objects Cluster Analysis Cluster (H-BLOB: Hierarchical BLOB) [SBG 00] Form ellipsoids Form blobs (implicit surfaces) H-BLOB Text Mining (ThemeRiver [WCF+ 00]) Visualization of thematic Changes in documents Vertical distance indicates collective strength of the themes Data Mining Process Visualization Presentation of the various processes of data mining in visual forms so that users can see the flow of data cleaning, integration, preprocessing, mining Data extraction process Where the data is extracted How the data is cleaned, integrated, preprocessed, and mined Method selected for data mining Where the results are stored How they may be viewed Visualization of Data Mining Processes by Clementine See your solution discovery process clearly Understand variations with visualized data Interactive Visual Data Mining Using visualization tools in the data mining process to help users make smart data mining decisions Example Display the data distribution in a set of attributes using colored sectors or columns (depending on whether the whole space is represented by either a circle or a set of columns) Use the display to which sector should first be selected for classification and where a good split point for this sector may be Visual data mining Projection Pursuits (Class) Tours [Dhillon et al. ’98] Visual Classification [Ankerst et al. KDD ’99] Projection Pursuits Exploratory projection pursuit: Goal: reduce dimensionality Define “interestingness” index to each possible projection of a data set Maximize this index, project linearly Not always possible/useful Class Tours “Visualizing Class Structure of Multidimensional Data” by Dhillon et al. 1998 Problem: Visualize multidimensional data categorized into classes Solution: Project data into 2D while preserving distances between class means Class-Preserving Projection: Preserves distances between projected means Tours Tours are animated and interpolated sequences of 2D projections [Asimov 1985] Class tours: sequences of class-preserving 2dimensional projections Captures “inter-class structure of complex, multidimensional data” Interactive Visual Mining by Perception-Based Classification (PBC) Visual Classification “Visual Classification: An Interactive Approach to Decision Tree Construction” by Ankerst et al. KDD 99 Exploit expert’s domain knowledge and human visual processing Visual Classification Visual Classification Results Comparable classification accuracy Can produce more understandable decision trees Expert domain knowledge can be exploited Audio Data Mining Uses audio signals to indicate the patterns of data or the features of data mining results An interesting alternative to visual mining An inverse task of mining audio (such as music) databases which is to find patterns from audio data Visual data mining may disclose interesting patterns using graphical displays, but requires users to concentrate on watching patterns Instead, transform patterns into sound and music and listen to pitches, rhythms, tune, and melody in order to identify anything interesting or unusual Summary Many visualization methods available How to evaluate and compare methods? Need for: Integrated visualization/exploration systems Studies of interaction techniques for mining Practical case studies Acknowledgments Many slides and images from Mihael Ankerst, Boeing, Daniel A. Keim, AT&T, Tutorial at PKDD'2001 Some pictures from Information Visualization in Data Mining and Knowledge Discovery, edited by Usama Fayyad, Georges Grinstein and Andreas Wierse A good set of slides were prepared by Andrew Wu (Spring 2004)