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Local Affine Multidimensional Projection
IEEE Transactions on Visualization and Computer Graphics, 2011Multidimensional projection techniques have experienced many improvements lately, mainly regarding computational times and accuracy. However, existing methods do not yet provide flexible enough mechanisms for visualization-oriented fully interactive applications.
Paulo Joia +4 more
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The fast affine projection algorithm
1995 International Conference on Acoustics, Speech, and Signal Processing, 2002This paper discusses a new adaptive filtering algorithm called fast affine projections (FAP). FAP's key features include LMS like complexity and memory requirements (low), and RLS like convergence (fast) for the important case where the excitation signal is speech.
Steven L. Gay, Sanjeev Tavathia
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Hybrid affine projection algorithm
2014 13th International Conference on Control Automation Robotics & Vision (ICARCV), 2014In this work, we put forward a new adaptation criterion, namely the hybrid criterion (HC), which is a mixture of the traditional mean square error (MSE) and the maximum correntropy criterion (MCC). The HC criterion is developed from the viewpoint of the least trimmed squares (LTS) estimator, a high breakdown estimator that can avoid undue influence ...
Xiaohan Yang +3 more
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Trimmed affine projection algorithms
2014 International Joint Conference on Neural Networks (IJCNN), 2014The least trimmed squares (LTS) estimator is a robust estimator as it can avoid undue influence from outliers. The exact solution of the LTS estimation is however hard to And and if the number of data is large then the method is unfeasible. In this work, we apply the LTS criterion to adaptive filtering and develop the trimmed affine projection ...
Badong Chen +5 more
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Regularization of the Affine Projection Algorithm
IEEE Transactions on Circuits and Systems II: Express Briefs, 2011The affine projection algorithm (APA) is an attractive choice for echo cancellation, mainly for its convergence features. A matrix inversion is required within the APA. For practical reasons, this matrix needs to be regularized, i.e., a positive constant is added to the elements of its main diagonal. This regularization parameter is of great importance
Constantin Paleologu +2 more
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Feature Affine Projection Algorithms
ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020There is a growing research interest in proposing new techniques to detect and exploit signals/systems sparsity. Recently, the idea of hidden sparsity has been proposed, and it has been shown that, in many cases, sparsity is not explicit, and some tools are required to expose hidden sparsity.
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Affinely and Projectively Regular Polytopes
Journal of the London Mathematical Society, 1968A \(d\)-polytope \(P\) (i.e. a \(d\)-dimensional convex polytope in Euclidean space \(R^d)\) is said to be affinely (resp. projectively) regular if the group of affine (resp. projective) transformations of \(R^d\) which preserve \(P\) is transitive on the complete towers of faces of \(P\) (such a tower being a set \( \left\{F^0, F^1, \ldots, F^{d-1 ...
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Local projective and affine invariants
Annals of Mathematics and Artificial Intelligence, 1995The author uses the implicit curve representation without using a curve parameter to produce local projective and affine invariants of a curve. This approach is useful in pattern recognition.
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Affine projections of polynomials
Proceedings of the forty-fourth annual ACM symposium on Theory of computing, 2012An m-variate polynomial f is said to be an affine projection of some n-variate polynomial g if there exists an nm matrix A and an n-dimensional vector b such that f(x)=g(Ax+b). In other words, if f can be obtained by replacing each variable of g by an affine combination of the variables occurring in f, then it is said to be an affine projection of g ...
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An affine projection algorithm with variable step size and projection order [PDF]
, 2012 It is known that the performance of adaptive algorithms is constrained by their computational cost. Thus, affine projection adaptive algorithms achieve higher convergence speed when the projection order increases, which is at the expense of a higher ...
Maria de Diego +2 more
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