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Journal Article
Linear algebra and its applications, ISSN 0024-3795, 2017, Volume 528, pp. 290 - 320
Journal Article
Pattern Recognition Letters, ISSN 0167-8655, 2008, Volume 29, Issue 9, pp. 1433 - 1440
Non-negative matrix factorization (NMF) is a popular technique for pattern recognition, data analysis, and dimensionality reduction, the goal of which is to... 
Multiplicative updates | Projected gradient | Non-negative matrix factorization | α-Divergence | alpha-divergence | projected gradient | non-negative matrix factorization | PARTS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | multiplicative updates
Journal Article
Entropy, ISSN 1099-4300, 2015, Volume 17, Issue 12, pp. 8111 - 8129
A divergence function on a manifold M defines a Riemannian metric g and dually coupled affine connections ∇ and ∇ * on M. When M is dually flat, that is flat... 
Information geometry | Relative entropy | Canonical divergence | Duality | Geodesic projection | α-divergence | α-geodesic | Divergence | information geometry | relative entropy | duality | canonical divergence | geodesic projection
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2018, Volume 492, pp. 496 - 505
In the present paper, we propose a quantile version of Tsallis-α divergence and study its various properties. Examples are given in support of the importance... 
Characterization | Proportional reversed hazard model | Truncated random variables | Tsallis-[formula omitted] divergence | Quantile function | Proportional hazard model | Tsallis-α divergence | PHYSICS, MULTIDISCIPLINARY | LIFETIME | RANDOM-VARIABLES | FAMILY | DISTRIBUTIONS | DISCRIMINATION | Tsallis-alpha divergence | ENTROPY FUNCTION
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 12/2017, Volume 65, Issue 23, pp. 6319 - 6331
Journal Article
IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 12/2017, Volume 28, Issue 12, pp. 2846 - 2858
Journal Article
Entropy (Basel, Switzerland), ISSN 1099-4300, 2014, Volume 16, Issue 6, pp. 3273 - 3301
Clustering sets of histograms has become popular thanks to the success of the generic method of bag-of-X used in text categorization and in visual... 
Centroid | Jeffreys divergence | Bag-of-X | α-divergence | K-means clustering | K-means seeding | alpha-divergence | k-means clustering | DISTANCE | APPROXIMATION | PHYSICS, MULTIDISCIPLINARY | centroid | bag-of-X | k-means seeding | Histograms | Nucleation | Information retrieval | Texts | Distortion | Entropy | Clustering | Visual
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2020, Volume 369, p. 124825
•Developed a new hybrid Projective NMF algorithm based on α-divergence and ALS.•The new algorithm exhibits better reconstruction accuracy than other PNMF... 
Feature extraction | Sparsity | Clustering | Orthogonality | Hybrid projective nonnegative matrix factorization | α-Divergence | alpha-Divergence | MATHEMATICS, APPLIED
Journal Article
Proceedings of SPIE - The International Society for Optical Engineering, ISSN 0277-786X, 2011, Volume 8050
In this paper, we compare the information-theoretic metrics of the Kullback-Leibler (K-L) and Renyi ( alpha ) divergence formulations for sensor management.... 
Performance evaluation | Information-theoretic measures | Renyi α-divergence | Rényi α-entropy | Sensor management | Simultaneous tracking and ID | Entropy | Kullback-Leiber divergence | Csiszar f-divergence | Formulations | Design parameters | Target tracking | Dynamic tests | Management | Sensors
Conference Proceeding
IEEE transactions on image processing, ISSN 1941-0042, 2019, Volume 28, Issue 11, pp. 5729 - 5739
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2014, Volume 8609, pp. 178 - 187
Conference Proceeding
Computerized Medical Imaging and Graphics, ISSN 0895-6111, 2011, Volume 35, Issue 4, pp. 294 - 301
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2008, Volume 54, Issue 3, pp. 1252 - 1261
Journal Article
Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 06/2010, Volume 62, Issue 3, pp. 547 - 569
Journal Article
ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 05/2019, pp. 2972 - 2976
In this paper, a robust sequential dictionary learning (DL) algorithm is presented. It is obtained by using a robust loss function in the data fidelity term of... 
Robust estimation | dictionary learning | α-divergence | outlier suppression
Conference Proceeding
IEEE Transactions on Information Theory, ISSN 0018-9448, 08/2005, Volume 51, Issue 8, pp. 2945 - 2950
Journal Article
IEEE transactions on cybernetics, ISSN 2168-2275, 2019, pp. 1 - 10
This article addresses the robust estimation of the output layer linear parameters in a radial basis function network (RBFN). A prominent method used to... 
Maximum likelihood estimation | Adaptive learning | Gaussian noise | robust estimation | Radial basis function networks | radial basis function networks (RBFNs) | Probability density function | Robustness | α-divergence | output linear parameters
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2006, Volume 16, Issue 1, pp. 129 - 135
Recently much attention has been paid to the nonextensive canonical distributions: the α-families. Such distributions have been found in many real-world... 
α-divergence | Information geometry | Generalized statistical mechanics | alpha-divergence | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | information geometry | MULTIDISCIPLINARY SCIENCES | PERTURBATION | TSALLIS | generalized statistical mechanics | GEOMETRY
Journal Article
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