Umut Orguner

Department of Electrical and Electronics Engineering
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Gaussian Mixture Filtering with Nonlinear Measurements Minimizing Forward Kullback-Leibler Divergence
Laz, Eray; Orguner, Umut (2023-07-01)
A Gaussian mixture filter is proposed for the state estimation of dynamical systems with nonlinear measurements. The filter is derived by solving an assumed density filtering problem where Kullback-Leibler (KL) divergence ...
An Approximate MSE Expression for Maximum Likelihood and Other Implicitly Defined Estimators of Non-Random Parameters
Mehmetcik, Erdal; Orguner, Umut; Candan, Çağatay (2023-03-01)
An approximate mean square error (MSE) expression for the performance analysis of implicitly defined estimators of non-random parameters is proposed. An implicitly defined estimator (IDE) declares the minimizer/maximizer o...
Expectation Propagation with Context Adjustment for Smoothing of Jump Markov Linear Systems
Sartas, Elif; Orguner, Umut (2023-01-01)
A fixed interval smoother for jump Markov linear systems (JMLSs) is proposed in the framework of expectation propagation (EP). The concept of context adjustment is introduced into EP to avoid/alleviate indefinite covarianc...
Adaptive Mixture Model Reduction based on the Composite Transportation Dissimilarity
D'Ortenzio, Alessandro; Manes, Costanzo; Iuliis, Vittorio De; Orguner, Umut (2023-01-01)
Providing efficient yet accurate statistical models is a challenging problem in many applications. When elementary models are not sufficiently descriptive, mixtures of densities can be used. A complexity management issue a...
An Optimal Transport Perspective on Gamma Gaussian Inverse-Wishart Mixture Reduction
D'Ortenzio, Alessandro; Manes, Costanzo; Orguner, Umut (2022-01-01)
Recent advances in the Optimal Transport theory allow to rewrite several known problems in a neat way, while providing a more general perspective. When dealing with mixture densities, or in general with intensities, such a...
Multi-Ellipsoidal Extended Target Tracking With Variational Bayes Inference
Tuncer, Barkın; Orguner, Umut; Özkan, Emre (2022-01-01)
In this work, we propose a novel extended target tracking algorithm, which is capable of representing a target or a group of targets with multiple ellipses. Each ellipse is modeled by an unknown symmetric positive-definite...
Association and Fusion of Range-Azimuth Tracks
Balci, Ali Emre; Şahin, Kurtuluş Kerem; Kumru, Firat; Pektas, Fatih; Özkan, Emre; Orguner, Umut (2022-01-01)
In this paper, novel association and fusion methods for range-azimuth tracks are proposed. The association method requires calculating the distance between two tracks that lack elevation information. An iterative algorithm...
A Model Selection criterion for the Mixture Reduction problem based on the Kullback-Leibler Divergence
D'Ortenzio, Alessandro; Manes, Costanzo; Orguner, Umut (2022-01-01)
In order to be properly addressed, many practical problems require an accurate stochastic characterization of the involved uncertainties. In this regard, a common approach is the use of mixtures of parametric densities whi...
Fixed-point iterative computation of Gaussian barycenters for some dissimilarity measures
D'ortenzio, Alessandro; Manes, Costanzo; Orguner, Umut (2022-01-01)
In practical contexts like sensor fusion or computer vision, it is not unusual to deal with a large number of Gaussian densities that encode the available information. In such cases, if the computational capabilities are l...
Decorrelation of Previously Communicated Information for an Interacting Multiple Model Filter
Acar, Duygu; Orguner, Umut (2021-02-01)
In a sensor network compensation of the correlated information caused by previous communication is of utmost interest for distributed estimation. In this article, we investigate an information decorrelation approach that c...
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