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Theory and practice of recursive identification

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This article is published in IEEE Transactions on Automatic Control.The article was published on 1985-10-01. It has received 940 citations till now. The article focuses on the topics: Recursive Bayesian estimation & Identification (information).

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Citations
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Alignment by Maximization of Mutual Information

TL;DR: A new information-theoretic approach is presented for finding the pose of an object in an image that works well in domains where edge or gradient-magnitude based methods have difficulty, yet it is more robust than traditional correlation.

Dynamic bayesian networks: representation, inference and learning

TL;DR: This thesis will discuss how to represent many different kinds of models as DBNs, how to perform exact and approximate inference in Dbns, and how to learn DBN models from sequential data.
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Hierarchical mixtures of experts and the EM algorithm

TL;DR: An Expectation-Maximization (EM) algorithm for adjusting the parameters of the tree-structured architecture for supervised learning and an on-line learning algorithm in which the parameters are updated incrementally.
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Multi-modal volume registration by maximization of mutual information

TL;DR: In this paper, an information-theoretic approach for finding the registration of volumetric medical images of differing modalities is presented, which is achieved by adjustment of the relative position and orientation until the mutual information between the images is maximized.
Book

Kalman Filtering and Neural Networks

Simon Haykin
TL;DR: This book takes a nontraditional nonlinear approach and reflects the fact that most practical applications are nonlinear.
References
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Journal ArticleDOI

Discrete Time Stochastic Adaptive Control

TL;DR: It is shown that, with probability one, the algorithm will ensure the system inputs and outputs are sample mean square bounded and the conditional mean square output tracking error achieves its global minimum possible value for linear feedback control.
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Applications of a Kushner and Clark lemma to general classes of stochastic algorithms

TL;DR: It is shown how one can apply a lemma of Kushner and Clark to obtain properties of stochastic algorithms, including algorithms considered by Ljung as well as algorithms of the form \theta_{n+1} = \theTA_{n} - \gamma_{n-1} V_{n +1}(\theta_n, Z) , where Z is a stationary ergodic process.
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Adaptive control with the stochastic approximation algorithm: Geometry and convergence

TL;DR: In this article, it was shown that if the system does not have a reduced-order minimum variance controller, then the parameter estimates converge to a random multiple of the true parameter.
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An Invariant Measure Approach to the Convergence of Stochastic Approximations with State Dependent Noise.

TL;DR: In this article, a new method for quickly getting the ODE associated with the asymptotic properties of the stochastic approximation of the projected algorithm for the constrained problem is presented.
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