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Scientific and Technical Aerospace Reports Volume 38 July 28, 2000

Scientific and Technical Aerospace Reports Volume 38 July 28, 2000

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<strong>2000</strong>0064726 Carnegie-Mellon Univ., School of Computer Science, Pittsburgh, PA USA<br />

Mix-nets: Factored Mixtures of Gaussians in Bayesian Networks With Mixed Continuous <strong>and</strong> Discrete Variables<br />

Davies, Scott; Moore, Andrew; Apr. <strong>2000</strong>; 32p; In English<br />

Report No.(s): AD-A377089; CMU-CS-00-119; No Copyright; Avail: CASI; A03, Hardcopy; A01, Microfiche<br />

Recently developed techniques have made it possible to quickly learn accurate probability density functions from data in lowdimensional<br />

continuous spaces. In particular. mixtures of Gaussians can be fitted to data very quickly using an accelerated EM<br />

algorithm that employs multiresolution kd-trees (Moore 1999). In this paper, we propose a kind of Bayesian network in which<br />

low-dimensional mixtures of Gaussians over different subsets of the domain’s variables are combined into a coherent joint probability<br />

model over the entire domain. The network is also capable of modelling complex dependencies between discrete variables<br />

<strong>and</strong> continuous variables without requiring discretization of the continuous variables. We present efficient heuristic algorithms<br />

for automatically learning these networks from data <strong>and</strong> perform comparative experiments illustrating how well these networks<br />

model real scientific data <strong>and</strong> synthetic data. We also briefly discuss some possible improvements to the networks. as well as their<br />

possible application to anomaly detection, classification probabilistic inference, <strong>and</strong> compression.<br />

DTIC<br />

Bayes Theorem; Machine Learning; Heuristic Methods; Probability Density Functions<br />

<strong>2000</strong>0064913 Technische Univ., Dept. of Mathematics <strong>and</strong> Computing Science, Eindhoven Netherl<strong>and</strong>s<br />

Response-Time Distribution in a Real-Time Database with Optimistic Concurrency Control <strong>and</strong> Constant Execution<br />

Times<br />

Sassen, S. A. E.; van der Wal, J.; Mar. 1997; 30p<br />

Report No.(s): PB<strong>2000</strong>-104847; MEMO-COSOR-97-07; No Copyright; Avail: CASI; A03, Hardcopy; A01, Microfiche<br />

For a real-time shared-memory database with optimistic concurrency control, an approximation for the transaction responsetime<br />

distribution is obtained. The model assumes that transactions arrive at the database according to a Poisson process, that every<br />

transaction uses an equal number of data-items uniformly chosen, <strong>and</strong> that the multiprogramming level is bounded. The execution<br />

time of all transactions is constant. The behavior of the system is approximated by an M/D/c queue with feedback. The probability<br />

that a transaction must be fed back for a rerun depends on the number of transactions that has committed during its execution.<br />

Numerical experiments, which compare the approximate analysis with a simulation of the database, show that the approximation<br />

of the response-time distribution is quite accurate, even for high system loads.<br />

NTIS<br />

Data Bases; Real Time Operation; Response Time (Computers)<br />

<strong>2000</strong>0064994 George Washington Univ., School of Engineering <strong>and</strong> Applied Science, Washington, DC USA<br />

Bayesian Aspects of Material Failure, Engineering Reliability, <strong>and</strong> Software Integrity Final Report, 1 Jan. 1995 - 30 Sep.<br />

1998<br />

Singpurwalla, Nozer D.; Nov. 01, 1998; 5p; In English<br />

Contract(s)/Grant(s): F49620-95-1-0107<br />

Report No.(s): AD-A366897; AFRL-SR-BL-TR-99A-0185; No Copyright; Avail: CASI; A01, Microfiche; A01, Hardcopy<br />

Research on using Bayesian statistical methods <strong>and</strong> on probabilistic modeling of failure processes is described. Emphasis<br />

is on developing mathematical models for describing the growth of surface <strong>and</strong> penny shaped cracks in structural materials <strong>and</strong><br />

on assessing the integrity of software via a new model for software. Initial work on a paradigm for information fusion is discussed<br />

<strong>and</strong> issues such as sensor reliability, sensor sabotage, adversarial sensors <strong>and</strong> sensor parleying are introduced.<br />

DTIC<br />

Failure; Reliability Engineering; Software Engineering<br />

<strong>2000</strong>0066600 Carnegie-Mellon Univ., School of Computer Science, Pittsburgh, PA USA<br />

Spatial Join Selectivity Using Power Laws<br />

Faloutsos, Christos; Seeger, Bernhard; Traina, Agma; Traina, Caetano, Jr; Apr. <strong>2000</strong>; 19p; In English; Prepared in cooperation<br />

with Sao Paulo Univ., Dept. of Computer Science, Sao Carlos, Brazil <strong>and</strong> Universitaet Marburg, Fachbereich Mathematik und<br />

Informatik, Germany. Also referenced as contract no. NSF-DMS98-73442, NSF-IIS98-17496, <strong>and</strong> NSF-IIS99-1060<br />

Contract(s)/Grant(s): N66001-97-C-8517; NSF-IRI96-254<strong>28</strong><br />

Report No.(s): AD-A377144; CMU-CS-00-124; No Copyright; Avail: CASI; A03, Hardcopy; A01, Microfiche<br />

We discovered a surprising law governing the spatial join selectivity across two sets of points. An example of such a spatial<br />

join is ”find the libraries that are within 10 miles of schools”. Our law dictates that the number of such qualifying pairs follows<br />

a power law, whose exponent we call ”pair-count exponent” (PC). We show that this law also holds for self-spatial-joins (”find<br />

183

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