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Papers by Aubrey Poore

Research paper thumbnail of Bifurcation Problems for Some Parametric Nonlinear Programs in Banach Spaces

SIAM Journal on Control and Optimization, 1996

Research paper thumbnail of Data Association Using Multiple Frame Assignments

Electrical Engineering & Applied Signal Processing Series, 2001

Research paper thumbnail of A Lagrangian Relaxation Algorithm for Multidimensional Assignment Problems Arising from Multitarget Tracking

Siam J Optimization, 1993

Research paper thumbnail of Multidimensional Assignment Problems Arising in Multitarget and Multisensor Tracking

Combinatorial Optimization, 2000

Research paper thumbnail of Coppice Management in East Anglian Woodlands and Its Application in Urban Fringe Nature Conservation

Research paper thumbnail of Data association problems posed as multidimensional assignment problems: problem for-mulation

Storage and Retrieval For Image and Video Databases, 1993

Research paper thumbnail of Optimization problems in multitarget/multisensor tracking

A multi-sensor multi-target tracker based on the use of near optimal and real-time algorithms for... more A multi-sensor multi-target tracker based on the use of near optimal and real-time algorithms for data association has been developed.

Research paper thumbnail of Continuation and Bifurcation Investigations in Constrained Optimization

Research paper thumbnail of Multidimensional Assignment Formulation of Data Association Problems ising from Multitarget and Multisensor Tracking*

Comput Optim Appl, 1994

The ever-increasing demand in surveillance is to produce highly accurate target and track identif... more The ever-increasing demand in surveillance is to produce highly accurate target and track identification and estimation in real-time, even for dense target scenarios and in regions of high track contention. The use of multiple sensors, through more varied information, has the potential to greatly enhance target identification and state estimation. For multitarget tracking, the processing of multiple scans all at

Research paper thumbnail of Optimization Problems in Multisensor and Multitarget Target Tracking

Research paper thumbnail of Some Issues in Multiple Target Tracking and Resource Management

Proceedings of SPIE - The International Society for Optical Engineering

ABSTRACT

Research paper thumbnail of Network-Centric MFA Tracking Architectures

Cooperative Systems, 2003

Research paper thumbnail of Numerical continuation and bifurcation techniques for parametric nonlinear programming

4th Symposium on Multidisciplinary Analysis and Optimization, 1992

Research paper thumbnail of <title>Network MFA tracking architectures</title>

Signal and Data Processing of Small Targets 2001, 2001

This work presents some initial steps in the development of a decentralized network centric multi... more This work presents some initial steps in the development of a decentralized network centric multiple frame assignment (MFA) class of architecture algorithms that affordably preserves the quality of a centralized architecture across a network of platforms while managing communication loading and achieving a consistent air picture on entities of interest for each platform. In particular, this work discussed four architectures, namely, Centralized, Network MFA Centralized, Network MFA on Local Data and Network Tracks, and Network MFA on All Data and Network Tracks and the results of extensive computations with the architectures.

Research paper thumbnail of <title>Complexity reduction in MHT/MFA tracking</title>

Signal and Data Processing of Small Targets 2005, 2005

ABSTRACT

Research paper thumbnail of Variable Order Adams-Bashforth Predictors with an Error-Stepsize Control for Continuation Methods

SIAM Journal on Scientific and Statistical Computing, 1991

Research paper thumbnail of The Expanded Lagrangian System for Constrained Optimization Problems

SIAM Journal on Control and Optimization, 1988

ABSTRACT Smooth penalty functions can be combined with numerical continuation/bifurcation techniq... more ABSTRACT Smooth penalty functions can be combined with numerical continuation/bifurcation techniques to produce a class of robust and fast algorithms for constrained optimization problems. The key to the development of these algorithms is the Expanded Lagrangian System which is derived and analyzed in this work. This parameterized system of nonlinear equations contains the penalty path as a solution, provides a smooth homotopy into the first-order necessary conditions, and yields a global optimization technique. Furthermore, the inevitable ill-conditioning present in a sequential optimization algorithm is removed for three penalty methods: the quadratic penalty function for equality constraints, and the logarithmic barrier function (an interior method) and the quadratic loss function (an interior method) for inequality constraints. Although these techniques apply to optimization in general and to linear and nonlinear programming, calculus of variations, optimal control and parameter identification in particular, the development is primarily within the context of nonlinear programming.

Research paper thumbnail of Bifurcations in parametric nonlinear programming

Annals of Operations Research, 1990

Bifurcation and continuation techniques are introduced as a class of methods for investigating th... more Bifurcation and continuation techniques are introduced as a class of methods for investigating the parametric nonlinear programming problem. Motivated by the Fritz John first-order necessary conditions, the parametric programming problem is first reformulated as a closed system of nonlinear equations which contains all Karush-Kuhn-Tucker and Fritz John points, both feasible and infeasible solutions, and relative minima, maxima, and saddle points.

Research paper thumbnail of A New Lagrangian Relaxation Based Algorithm for a Class ofMultidimensional Assignment Problems

Computational Optimization and Applications, Sep 1, 1997

Research paper thumbnail of Numerical Hopf Bifurcation Techniques and the Dynamics of the Tubular Reactor Model

Research paper thumbnail of Bifurcation Problems for Some Parametric Nonlinear Programs in Banach Spaces

SIAM Journal on Control and Optimization, 1996

Research paper thumbnail of Data Association Using Multiple Frame Assignments

Electrical Engineering & Applied Signal Processing Series, 2001

Research paper thumbnail of A Lagrangian Relaxation Algorithm for Multidimensional Assignment Problems Arising from Multitarget Tracking

Siam J Optimization, 1993

Research paper thumbnail of Multidimensional Assignment Problems Arising in Multitarget and Multisensor Tracking

Combinatorial Optimization, 2000

Research paper thumbnail of Coppice Management in East Anglian Woodlands and Its Application in Urban Fringe Nature Conservation

Research paper thumbnail of Data association problems posed as multidimensional assignment problems: problem for-mulation

Storage and Retrieval For Image and Video Databases, 1993

Research paper thumbnail of Optimization problems in multitarget/multisensor tracking

A multi-sensor multi-target tracker based on the use of near optimal and real-time algorithms for... more A multi-sensor multi-target tracker based on the use of near optimal and real-time algorithms for data association has been developed.

Research paper thumbnail of Continuation and Bifurcation Investigations in Constrained Optimization

Research paper thumbnail of Multidimensional Assignment Formulation of Data Association Problems ising from Multitarget and Multisensor Tracking*

Comput Optim Appl, 1994

The ever-increasing demand in surveillance is to produce highly accurate target and track identif... more The ever-increasing demand in surveillance is to produce highly accurate target and track identification and estimation in real-time, even for dense target scenarios and in regions of high track contention. The use of multiple sensors, through more varied information, has the potential to greatly enhance target identification and state estimation. For multitarget tracking, the processing of multiple scans all at

Research paper thumbnail of Optimization Problems in Multisensor and Multitarget Target Tracking

Research paper thumbnail of Some Issues in Multiple Target Tracking and Resource Management

Proceedings of SPIE - The International Society for Optical Engineering

ABSTRACT

Research paper thumbnail of Network-Centric MFA Tracking Architectures

Cooperative Systems, 2003

Research paper thumbnail of Numerical continuation and bifurcation techniques for parametric nonlinear programming

4th Symposium on Multidisciplinary Analysis and Optimization, 1992

Research paper thumbnail of <title>Network MFA tracking architectures</title>

Signal and Data Processing of Small Targets 2001, 2001

This work presents some initial steps in the development of a decentralized network centric multi... more This work presents some initial steps in the development of a decentralized network centric multiple frame assignment (MFA) class of architecture algorithms that affordably preserves the quality of a centralized architecture across a network of platforms while managing communication loading and achieving a consistent air picture on entities of interest for each platform. In particular, this work discussed four architectures, namely, Centralized, Network MFA Centralized, Network MFA on Local Data and Network Tracks, and Network MFA on All Data and Network Tracks and the results of extensive computations with the architectures.

Research paper thumbnail of <title>Complexity reduction in MHT/MFA tracking</title>

Signal and Data Processing of Small Targets 2005, 2005

ABSTRACT

Research paper thumbnail of Variable Order Adams-Bashforth Predictors with an Error-Stepsize Control for Continuation Methods

SIAM Journal on Scientific and Statistical Computing, 1991

Research paper thumbnail of The Expanded Lagrangian System for Constrained Optimization Problems

SIAM Journal on Control and Optimization, 1988

ABSTRACT Smooth penalty functions can be combined with numerical continuation/bifurcation techniq... more ABSTRACT Smooth penalty functions can be combined with numerical continuation/bifurcation techniques to produce a class of robust and fast algorithms for constrained optimization problems. The key to the development of these algorithms is the Expanded Lagrangian System which is derived and analyzed in this work. This parameterized system of nonlinear equations contains the penalty path as a solution, provides a smooth homotopy into the first-order necessary conditions, and yields a global optimization technique. Furthermore, the inevitable ill-conditioning present in a sequential optimization algorithm is removed for three penalty methods: the quadratic penalty function for equality constraints, and the logarithmic barrier function (an interior method) and the quadratic loss function (an interior method) for inequality constraints. Although these techniques apply to optimization in general and to linear and nonlinear programming, calculus of variations, optimal control and parameter identification in particular, the development is primarily within the context of nonlinear programming.

Research paper thumbnail of Bifurcations in parametric nonlinear programming

Annals of Operations Research, 1990

Bifurcation and continuation techniques are introduced as a class of methods for investigating th... more Bifurcation and continuation techniques are introduced as a class of methods for investigating the parametric nonlinear programming problem. Motivated by the Fritz John first-order necessary conditions, the parametric programming problem is first reformulated as a closed system of nonlinear equations which contains all Karush-Kuhn-Tucker and Fritz John points, both feasible and infeasible solutions, and relative minima, maxima, and saddle points.

Research paper thumbnail of A New Lagrangian Relaxation Based Algorithm for a Class ofMultidimensional Assignment Problems

Computational Optimization and Applications, Sep 1, 1997

Research paper thumbnail of Numerical Hopf Bifurcation Techniques and the Dynamics of the Tubular Reactor Model

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