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Letters in Mathematical Physics, ISSN 0377-9017, 06/2018, Volume 108, Issue 6, pp. 1563 - 1579
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar fractafolds, in the sense of Strichartz. These functions... 
Sierpiński gasket | Fractal Laplacian | Spectral zeta functions | Regularized determinant | Sierpinski gasket | SPECTRAL ZETA-FUNCTIONS | ASYMPTOTICS | PHYSICS, MATHEMATICAL | Mathematics - Spectral Theory | 58J52 | 05C30 | 28A80 | 58C40 | 81Q10 | Fysik | Physical Sciences | Naturvetenskap | Other Physics Topics | Annan fysik | Natural Sciences
Journal Article
Computational Statistics and Data Analysis, ISSN 0167-9473, 08/2019, Volume 136, pp. 72 - 91
Variable selection, or subset selection, plays a fundamental role in modern statistical modeling. In many applications, interactions exist between the selected... 
Regularized regression | Graph Laplacian matrix | Bayesian analysis | Predictive cluster | Variable selection | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BIOSYNTHESIS | STATISTICS & PROBABILITY | REGRESSION SHRINKAGE | REGULARIZATION | Arabidopsis thaliana | Models | Algorithms | Information management | Analysis
Journal Article
Journal Article
IEEE Transactions on Multimedia, ISSN 1520-9210, 08/2017, Volume 19, Issue 8, pp. 1718 - 1729
Journal Article
Expert Systems With Applications, ISSN 0957-4174, 03/2016, Volume 45, pp. 1 - 7
Recently, Safe Semi-Supervised Learning (S3L) has become an active topic in the Semi-Supervised Learning (SSL) field. In S3L, unlabeled data that may affect... 
Semi-supervised learning | Safe mechanism | Risk degree | Laplacian Regularized Least Squares | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | UNLABELED DATA | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Learning | Least squares method | Risk | Strategy | Benchmarking | Risk analysis | Expert systems
Journal Article
Journal of Statistical Planning and Inference, ISSN 0378-3758, 07/2012, Volume 142, Issue 7, pp. 1627 - 1643
To find an appropriate low-dimensional representation for complex data is one of the central problems in machine learning and data analysis. In this paper, a... 
Graph Laplacian | Learning rate | Regularized Laplacian eigenmaps | Nonlinear dimensionality reduction | STATISTICS & PROBABILITY | DIMENSIONALITY REDUCTION | Analysis | Algorithms
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 03/2019, Volume 15, Issue 2, pp. 373 - 388
We give a closed form evaluation of the zeta determinant of the Laplace operator on spheres and projective spaces that clearly describes the arithmetic... 
Riemann zeta function | Regularized zeta determinants | operator zeta function | operator determinant | MATHEMATICS
Journal Article
Computer Networks, ISSN 1389-1286, 2011, Volume 55, Issue 10, pp. 2481 - 2491
Journal Article
Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 06/2019, Volume 27, Issue 2, pp. 179 - 211
We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold... 
Primary 35P15 53C20 | Secondary 53C21 58C40 | Regularized metric with control of curvature | Double of a manifold | Topological invariants | Laplacian | VIBRATION FREQUENCIES | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Publicacions Matematiques, ISSN 0214-1493, 2018, Volume 62, Issue 2, pp. 615 - 639
We study regularized determinants of Laplacians acting on the space of Hilbert-Maass forms for the Hilbert modular group of a real quadratic field. We show... 
Selberg zeta function | Hilbert modular surface | Regularized determinant | MATHEMATICS | regularized determinant | ZETA-FUNCTIONS | SINE FUNCTIONS
Journal Article
Optical Engineering, ISSN 0091-3286, 6/2012, Volume 51, Issue 6, pp. 067012 - 067012
We present a novel scheme of feature extraction, namely kernel Laplacian maximum margin criterion, for face recognition. The proposed method seeks to maximize... 
maximum margin criterion | feature extraction | kernel | Laplacian | Feature extraction | Maximum margin criterion | Kernel | FISHER DISCRIMINANT | HIGH-DIMENSIONAL DATA | FACE-RECOGNITION | REGULARIZED DISCRIMINANT-ANALYSIS | FRAMEWORK | KPCA PLUS LDA | ALGORITHMS | OPTICS
Journal Article
2018 25th IEEE International Conference on Image Processing (ICIP), ISSN 1522-4880, 10/2018, pp. 1633 - 1637
Graph based Semi-Supervised Learning (G-SSL) methods usually include the stages of the construction of affinity matrix and the mechanism of inferring unknown... 
Manifolds | Laplace equations | Semi-Supervised Learning | Laplacian Regularized Least Squares | Semisupervised learning | Benchmark testing | Simultaneous Learning | Sparse matrices | Task analysis | Affinity Matrix | Optimization
Conference Proceeding
JOURNAL OF NUMBER THEORY, ISSN 0022-314X, 03/2020, Volume 208, pp. 120 - 147
We present a powerful method for the calculation of heat-kernel coefficients of the Laplacian on the projective complex spaces endowed with the Fubini-Study... 
MATHEMATICS | SEQUENCES | INVARIANTS | n-spheres | ANALYTIC-TORSION | Analytic torsion | Zeta function | Projective spaces | REGULARIZED DETERMINANTS | HOLOMORPHIC DETERMINANT BUNDLES | Heat-kernel | Regularization
Journal Article
Advances in Difference Equations, ISSN 1687-1847, 12/2013, Volume 2013, Issue 1, pp. 1 - 12
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 2010, Volume 60, Issue 9, pp. 1209 - 1234
We analyze the spectral zeta function for sub-Laplace operators on product manifolds . Starting from suitable conditions on the zeta functions on each factor,... 
Sub-Laplacian | Heat kernel | Spectral zeta function | Zeta-regularized determinant | Kodaira–Thurston manifold | Heisenberg manifold | Kodaira-Thurston manifold | LOGARITHMIC TERMS | MATHEMATICS, APPLIED | EXPANSIONS | PHYSICS, MATHEMATICAL | OPERATORS | GEOMETRY
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