| Intrusion Detection Using Data Mining Techniques |
JAN 2004 |
16 pages |
| Authors:
Edward J. Wegman; Don R. Faxon; GEORGE MASON UNIV FAIRFAX VA OFFICE OFSPONSORED PROGRAMS
|
 | Principal Investigator and research fellows conduct research in the investigation of network-based intrusion detection using data mining techniques based on advanced computational statistics and visualization techniques. These new methods will provide the means to detect the presence of covert channels operating on user systems, passively perform continuous user authentication, discern subtle network attacks and information-gathering activities, and provide interface support for "storm center" situational display of intrusion detection alerts, damage ... |
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| Nonparametric Function Estimation and Visualization with Applications to C2 |
DEC 2002 |
7 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA
|
| This project focused on the development of fast, accurate density estimation procedures. The methods raised basic research issues as to the implementation, computational complexity, visualization, and optimization of estimators in this class. In addition to being useful in a direct role, it is argued that density estimation plays a crucial role in clustering algorithms, discriminant methods and pattern recognition. All of these methods are used extensively in Situation and Informational ... |
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| Optimization Methods for Analyte Recognition from Optical Sensor Arrays |
DEC 2002 |
4 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA
|
| This project focused on the analysis of an artificial olfactory system. Light at single wavelengths is piped down a doped fiber optic causing the dyes to fluoresce. As chemicals are drawn across the doped fiber optics, they adhere temporarily to the dye and change the color of the fluorescing dye. The response is transient as the chemicals dissipate. This creates a 19- dimensional time series for each chemical species. The ... |
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| Final Report on Massive Data Sets: Visualization and Analysis |
08 MAY 2002 |
12 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| This project argued that the downsizing of U.S. Army implies a profound change in the way the Army carries out its war-fighting mission. There will be an increased reliance on technology. Because these are technology based warfare areas, there will be massive data sets generated electronically as part of the normal operations. The ability to analyze such data sets is crucial to the prosecution of a military engagement in 2000 ... |
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| Visualization Methods for the Exploration of High Dimensional Data |
AUG 1998 |
11 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA
|
| This project brought together elements of virtual reality technology (immersive technology) and elements of scientific visualization to address issues of high dimensional spatial and volumetric visualization problems. Applications of such methods were to the visualization of any spatially or volumetrically distributed data with multivariate data characterization at each pixel or voxel. A military application was, for example, characterization of mine fields. This research accomplished under this funding has a very ... |
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| Instrumentation in Support of Interactive Visualization, Computation and Simulation |
01 JUN 1997 |
7 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| This research accomplished as a result of this effort focused on the alliance of elements of virtual reality technology and elements of scientific visualization to address issues of mine detection and related spatial and volumetric visualization problems. By virtual environments, we meant an immersive visual and audio technology such that experimenter has little or no awareness of the real environment. For our purposes of data visualization, this was intended as ... |
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| Geometric Modeling of Vehicle Paths and Confidence Regions |
MAY 96 |
11 pages |
| Authors:
Celesta G. Ball; Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| In transportation systems today, there is a need to predict where a vehicle will be at a given time in order to ensure safety, expediency and efficiency of traffic movement. There is generally a plan of travel, but outside forces (e.g., wind forecasting error, navigation system error) cause the actual path that is followed to be somewhat different from the planned path. The path of a vehicle is represented as ... |
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| Statistical Software, Software and Astronomy |
MAY 96 |
33 pages |
| Authors:
Edward J. Wegman; Daniel B. Carr; R. D. King; John J. Miller; Wendy L. Poston; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| This paper discusses statistical, data analytic and related software that is useful in the realm of astronomy and spaces sciences. The paper does not seek to be comprehensive, but rather to present a cross section of software used by practicing statisticians. The general layout is first to discuss commercially available software, then academic research software and finally some possible future directions in the evolution of data-oriented software. We specifically exclude ... |
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| Immersive Methods for Mine Warfare |
APR 96 |
28 pages |
| Authors:
Edward J. Wegman; Jeffrey L. Solka; Wendy L. Poston; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| We are developing a synthetic environment to be used in combination with real environments for the purpose of mine counter measures. Two examples of our work involve applications to land-based minefields and an application to submarine defense. In the former application, imaging is done with six spectral bands. It has been shown empirically that a sequence of images taken in six spectral bands when viewed sequentially will allow one to ... |
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| High Dimensional Clustering Using Parallel Coordinates and the Grand Tour |
APR 96 |
24 pages |
| Authors:
Edward J. Wegman; Qiang Luo; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| In this paper, we present some graphical techniques for cluster analysis of high-dimensional data. Parallel coordinate plots and parallel coordinate density plots are graphical techniques which map multivariate data into a two-dimensional display. The method has some elegant duality properties with ordinary Cartesian plots so that higher-dimensional mathematical structures can be analyzed. Our high interaction software allows for rapid editing of data to remove outliers and isolate clusters by brushing. ... |
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| Visualization Methods for the Exploration of High Dimensional Data |
16 FEB 95 |
10 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| This project focused on the development of data analysis and statistical methodology which may be characterized by one or more of the properties that they are large in size, high in dimension, and nonhomogeneous. The major thrust is in visualization on of both point clouds and mathematical structures in high dimensions. The specific advances made under this project are three dimensional generalizations of the Andrews plot, the grand tour in ... |
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| Visualization Methods for the Exploration or High Dimensional Data |
16 FEB 95 |
10 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| This project focused on the development of data analysis and statistical methodology which may be characterized by one or more of the properties that they are large in size, high in dimension, and nonhomogeneous. The major thrust is in visualization of both point clouds and mathematical structures in high dimensions. The specifcc advances made under this project are (1) Three dimensional generalizations of the Andrews plot, (2) the grand tour ... |
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| A New Visualization Technique to Study the Time Evolution of Finite and Adaptive Mixture Estimators |
DEC 94 |
31 pages |
| Authors:
Jeffrey L. Solka; Wendy L. Poston; Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| This paper focuses on recent work which analyzes the expectation maximization (EM) evolution of mixtures based estimators. The goal of this research is the development of effective visualization techniques to portray the mixture model parameters as they change in time. This is an inherently high dimensional process. Techniques are presented which portray the time evolution of univariate, bivariate, and trivariate finite and adaptive mixtures estimators. Adaptive mixtures is a recently ... |
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| Huge Data Sets and the Frontiers of Computational Feasibility |
NOV 94 |
23 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| Recently, Huber offered a taxonomy of data set sizes ranging from tiny (100 bytes) to huge (10 to the 10th power bytes). This taxonomy is particularly appealing because it quantifies the meaning of tiny, small, medium, large and huge. Indeed, some investigators consider 300 small and 10,000 large while others consider 10,000 small. In Huber's taxonomy, most statistical and visualization techniques are computationally feasible with tiny data sets. However with ... |
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| Fast Multidimensional Density Estimation Based on Random-width Bins |
OCT 94 |
10 pages |
| Authors:
Leonard B. Hearne; Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| Histogram-type density estimators have some notable computational advantages over other forms of density estimation by virtue of the WARPing algorithm. However, traditional fixed-bin-width have less than satisfactory smoothing properties, being too coarse in regions of high density and too fine in regions of low density. Scott (1992) suggests the ASH algorithm as a means of overcoming these problems, but the ASH algorithm is computationally intensive somewhat negating the benefits of ... |
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| Parallelizing Locally-Weighted Regression |
OCT 94 |
22 pages |
| Authors:
Julia C. Fauntleroy; Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| This paper focuses on a nonparametric regression technique known as locally-weighted regression or LOESS, LOESS is a computationally intensive technique which makes it naturally amenable to exploiting high performance computers. In this paper, we explore domain decomposition techniques for LOESS and study the performance of our algorithm on an Intel Paragon XP/S A4 machine. We study both speedup and efficiency as a function of the number of nodes. Certain segments ... |
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| A Method to Determine the Structure of an Unknown Mixture Using the Akaike Information Criterion and the Bootstrap |
OCT 94 |
30 pages |
| Authors:
Jeffrey L. Solka; Edward J. Wegman; Carey E. Priebe; Wendy L. Poston; George W. Rogers; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| Given i.i.d. observations x1,x2,x3,,,,xn drawn from a mixture of normal terms one is often interested in determining the number of terms in the mixture and their defining parameters. Although the problem of determining the number of terms is intractable under the most general assumptions there is hope of elucidating the mixture structure given appropriate caveats on the underlying mixture. This paper examines a new approach to this problem based on ... |
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| A Contribution to the Theory of Robust Estimation of Multivariate Location and Shape: ElD |
OCT 94 |
26 pages |
| Authors:
Wendy L. Poston; Edward J. Wegman; Carey E. Priebe; Jeffrey L. Solka; GEORGE MASON UNIV FAIRFAX VA CENTER FOR COMPUTATIONAL STATISTICS
|
| The existence of outliers in a data set and how to deal with them is an important problem in statistics. The Minimum Volume Ellipsoid (MVE) estimator is a robust estimator of location and shape; however its use has been limited because few computationally attractive methods exist to calculate it. Determining the MVE consists of two parts: finding the subset of points to be used in the estimate and finding the ... |
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| Hyperdimensional Data Analysis and Structural Inference |
25 MAY 91 |
11 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA
|
| This project focused on exploratory and structural inference for high dimensional data. Exploratory techniques focused mainly on the parallel coordinate technique which was exploited on graphical computing platforms. A MS- DOS package was developed using this and other dynamical graphics techniques. Several refinements of the parallel coordinate technique were made including scintillation, parallel coordinate density plots and grand tours in d- dimensions. The structural inference work is nonparametric in character ... |
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| Graphics Equipment for Data Analysis |
30 NOV 89 |
3 pages |
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA
|
| This grant is a DURIP instrumentation grant. The focus of the grant was to purchase a high-end graphics workstation for statistical data analysis. Our concepts was for the development of a tool that we called data set mapping. This tool will prove beneficial in data sets that are difficult to visualize due to multi-dimensionality. The basic idea is to interface the high and workstation with a high performance minisupercomputer, in ... |
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| Computing Science and Statistics: Proceedings of the Symposium on the Interface: Computationally Intensive Methods in Statistics (20th) Held in Fairfax, Virginia on April 20-23, 1988 |
15 MAR 89 |
845 pages |
| Authors:
Edward J. Wegman; Donald T. Gantz; John J. Miller; INTERFACE FOUNDATION OF NORTH AMERICA INC FAIRFAX STATION VA
|
| Contents: Computationally Intensive Statistical Methods; Statistical Graphics; Computational Aspects of Simulated Annealing; Parallel Computing; Density and Function Estimation; Software Tools for Statistics; Artificial Intelligence, Expert Systems, and Statistics; Numerical Methods; Statistical Methods; Computational Discrete Mathematics; Simulation; Robust and Nonparametric Methods; Time Series Analysis; Reliability and Life Distributions; Applications; Biostatistical Methods; Image Processing. (KR) |
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| Computing Science and Statistics. Proceedings of the Symposium on the Interface Computationally Intensive Methods in Statistics (20th) Held in Fairfax, Virginia on 20-23 April 1988 |
15 MAR 89 |
|
| Authors:
Edward J. Wegman; Donald T. Gantz; John J. Miller; INTERFACE FOUNDATION OF NORTH AMERICA INC FAIRFAX STATION VA
|
 | Contents: Computer Intensive Statistical Inference; Fitting Functions to Noisy Data in High Dimensions; Computationally Intensive Statistical Methods; Statistical Graphics; Computational Aspects Of Simulated Annealing; Parallel Computing; Density and Function Estimation; Software Tools For Statistics; Artificial Intelligence, Expert Systems, and Statistics; Numerical Methods; Statistical Methods; Computational Discrete Mathematics; Simulation; Robust and Nonparametric Methods; Time Series Analysis; Reliability and Life Distributions; Applications; Biostatistical Methods; Image Processing. (KR) |
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| Symposium on the Interface: Computing Science and Statistics (20th). Theme: Computationally Intensive Methods in Statistics Held in Reston, Virginia on April 20-23, 1988 |
20 AUG 88 |
188 pages |
| Authors:
Edward J. Wegman; Jan P. Guenther; INTERFACE FOUNDATION OF NORTH AMERICA INC FAIRFAX STATION VA
|
| The 20th Symposium on the Interface: Computing Science and Statistics was held 20-23 April 1988 in Reston, VA. The theme was computationally intensive methods in statistics. Some 60 invited papers, 128 contributed papers were presented to 425 attendees. There was a special focus on young investigators. Sessions were organized into some 49 technical sessions. This report highlights those sessions and presents abstracts of most of the presentations. Also included is ... |
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| On Randomness, Determinism and Computability. |
16 MAR 1987 |
|
| Authors:
Edward J. Wegman; GEORGE MASON UNIV FAIRFAX VA
|
| This paper discusses the meaning and relationship of randomness and determinism. A fundamental development of chaotic dynamical systems is given with examples. Such systems are seen to exhibit randomness in the usual sense of unpredictability. The formal definition of randomness in terms of algorithmic incompressibility is also discussed. The role of recursion in computability and randomness is also discussed. Keywords: Random; Chaos; Chaotic dynamics; Computability; Recursive functions; Unsolvability; Degrees of ... |
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| Toward a Theory of Probabilistic Automata with Environments, |
1978 |
|
| Authors:
Jerren Gould; Edward J. Wegman; NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
|
| The viewpoint is taken that every probabilistic automation is situated within a sequence of environments which affects the initial state distribution and the transition function. There exists a probabilistic automaton within a deterministic environment sequence (ADE) which defines an event which is not a PCE, yet in certain nontrivial cases the behavior of an ADE can be simulated by a probabilistic automaton. For probabilistic automata within random environment sequences there ... |
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| Isotonic, Convex and Related Splines. |
NOV 1977 |
|
| Authors:
Ian W. Wright; Edward J. Wegman; NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
|
| The estimation of isotonic, convex or related functions is considered by means of splines. It is shown that certain classes of isotone or convex functions can be represented as a positive cone embedded in a Hilbert space. Using this representation, an existence and characterization theorem are given for isotonic or convex splines. Two special cases are examined showing the existence of a globally monotone cubic smoothing spline and a globally ... |
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| An Automaton Modelled in an Environment. |
1977 |
|
| Authors:
Jerren Gould; Edward J. Wegman; NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
|
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| A Monte-Carlo Study of Robust Estimators of Location. |
1976 |
|
| Authors:
Edward J. Wegman; R. J. Carroll; NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
|
| Andrews et al (1972) carried out an extensive Monte Carlo study of robust estimators of location. Their conclusions were that the hampel and the skipped estimates, as classes, seemed to be preferable to some of the other currently fashionable estimators. The present study extends this work to include estimators not previously examined. The estimators are compared over short-tailed as well as long-tailed alternatives and also over some dependent data generated ... |
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| A Monte Carlo Study of Robust Estimators of Location, |
NOV 1975 |
|
| Authors:
Raymond J. Carroll; Edward J. Wegman; NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
|
| Andrews et al (1972) carried out an extensive Monte Carlo study of robust estimators of location. Their conclusions were that the hampel and the skipped estimates, as classes, seemed to be preferable to some of the other currently fashionable estimators. The present study extends this work to include estimators not previously examined. The estimators are compared over short-tailed as well as long-tailed alternatives and also over some dependent data generated ... |
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Reports by Author
