“Visualization and Data Mining for High Dimensional Data”
By Professor Alfred Inselberg, Senior Fellow San Diego
A dataset with M items has 2M subsets anyone of which may be the one satisfying our objectives. With a good data display and interactivity our fantastic pattern-recognition can cut great swaths searching through this combinatorial explosion unlocking surprising insights. That is the core reason for data visualization. With parallel coordinates the search for relations in multivariate data is transformed into a 2-D pattern recognition problem. The knowledge discovery process is illustrated on several real multidimensional datasets. There is also a geometric classification algorithm with low computational complexity providing the classification rule explicitly and visually. The minimal set of variables required to state the rule, features, is found and ordered by their predictive value. A complex system is modeled as a hypersurface enabling interactive exploration of its functions, sensitivities, trade-offs, impact of constraints and more. An overview of the methodology provides foundational understanding; learning the patterns corresponding to various multivariate relations. These patterns are robust in the presence of errors and that is good news for the applications. The parallel coordinates methodology has been applied to collision avoidance and conflict resolution algorithms for air traffic control (3 USA patents), computer vision (USA patent), data mining (USA patent) and elsewhere.
Alfred received a Ph.D. in Mathematics and Physics from the University of Illinois (Champaign-Urbana) and continued as a Research Professor. Subsequently, he held research positions at IBM, where he developed a Mathematical Model of Ear (TIME Nov. 74), concurrently having joint appointments at UCLA, USC and later Technion and Ben Gurion University. Since 1995 he is professor at the School of Mathematical Sciences at Tel Aviv University. He was elected Senior Fellow at the San Diego Supercomputing Center in 1996, was Distinguished Visiting Professor at Korea University in 2008 and National University of Singapore in 2011. Alfred invented and developed the multidimensional system of Parallel Coordinates for which he received numerous awards and patents. His textbook “Parallel Coordinates: VISUAL Multidimensional Geometry and Its Applications” published by Springer was praised by Stephen Hawking among others.