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2013, De Gruyter studies in mathematics, ISBN 9783110263404, Volume 49, xi, 372
Book
Pattern Recognition, ISSN 0031-3203, 05/2015, Volume 48, Issue 5, pp. 1904 - 1912
...? To address this problem, we propose a novel criterion named Hilbert Space Embedding (HSE) Nyström criterion which directly minimizes the eigenvector approximation error... 
Sampling methods | Eigenvalues and eigenfunctions | Spectral analysis | DIMENSIONALITY REDUCTION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Kernels | Errors | Approximation | Mathematical analysis | Eigenvectors | Hilbert space | Mathematical models | Criteria | Density
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 03/2017, Volume 272, Issue 5, pp. 1852 - 1875
In these notes, we study the relation between uniform and coarse embeddings between Banach spaces as well as uniform and coarse equivalences... 
Nonlinear geometry of Banach spaces | Coarse embeddings | Uniform embeddings | MATHEMATICS | METRIC-SPACES | BANACH-SPACES | HILBERT-SPACE | Mathematics - Functional Analysis
Journal Article
Journal of Mathematical Physics, ISSN 1089-7658, 2011, Volume 52, Issue 1, pp. 012102 - 012102-12
We show that Tsirelson's problem concerning the set of quantum correlations and Connes' embedding problem on finite approximations in von Neumann algebras... 
ALGEBRAS | STATES | INEQUALITIES | INDEPENDENCE | PRODUCTS | PHYSICS, MATHEMATICAL | VIOLATION | TENSORS | APPROXIMATIONS | CALCULATION METHODS | ALGEBRA | CORRELATIONS | QUANTUM MECHANICS | HILBERT SPACE | MATHEMATICS | SPACE | MECHANICS | MATHEMATICAL SPACE | MATRICES | BANACH SPACE | MATHEMATICAL METHODS AND COMPUTING
Journal Article
Mathematische Zeitschrift, ISSN 1432-1823, 2019, Volume 293, Issue 3-4, pp. 989 - 1014
We observe that local embedding problems for certain Hardy and Bergman spaces of Dirichlet series are equivalent to boundedness of a class of composition operators... 
Mathematics, general | Primary 47B33 | Mathematics | 30H20 | Secondary 30B50 | 30H10 | MATHEMATICS | BERGMAN SPACES | H-2 SPACE | APPROXIMATION NUMBERS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 06/2018, Volume 274, Issue 11, pp. 3149 - 3169
In this paper, we study nonlinear embeddings between Banach spaces. More specifically, the goal of this paper is to study weaker versions of coarse and uniform... 
Nonlinear geometry of Banach spaces | Coarse embeddings | Property [formula omitted] of Kalton | Uniform embeddings | Property Q of Kalton | MATHEMATICS | COARSE | METRIC-SPACES | LIPSCHITZ | HILBERT-SPACE | GEOMETRY
Journal Article
Neural Computation, ISSN 0899-7667, 2014, Volume 26, Issue 7, pp. 1484 - 1517
Causal discovery via the asymmetry between the cause and the effect has proved to be a promising way to infer the causal direction from observations. The basic... 
Kernels | Asymmetry | Mathematical analysis | Preserves | Hilbert space | Transformations | Abbreviations | Complexity
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2015, Volume 276, Issue 2, pp. 347 - 367
.... We demonstrate that any simply connected smooth complete surface with curvature bounded above by a negative constant admits a smooth isometric embedding into the Lorentz... 
Hilbert-efimov theorem | Isometric embedding | Lorentz-minkowski space | MATHEMATICS | isometric embedding | Hilbert-Efimov theorem | Lorentz-Minkowski space | DIMENSIONAL RIEMANNIAN-MANIFOLDS | DISKS | CONSTANT GAUSS CURVATURE
Journal Article
Neurocomputing, ISSN 0925-2312, 11/2017, Volume 266, pp. 595 - 605
.... Motivated by the powerful framework of Hilbert space embeddings of distributions, in this paper we apply this methodology for the kernel embedding of an autoregressive process of order p... 
Autoregressive process | Hilbert space embeddings | time series forecasting | cross-covariance operator | NEURAL-NETWORKS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Usage | Models | Stochastic processes | Analysis
Journal Article
ACM Transactions on Information Systems (TOIS), ISSN 1046-8188, 06/2017, Volume 35, Issue 3, pp. 1 - 27
...: In essence, these spaces allow an isometric embedding of any four points in three-dimensional Euclidean space, as well as any three points in two-dimensional Euclidean space... 
metric space | Hilbert embedding | four-point property | metric indexing | Similarity search | Metric indexing | Four-point property | Metric Space | SPACES | COMPUTER SCIENCE, INFORMATION SYSTEMS | Information storage and retrieval | Data structures | Research | Search theory | Analysis | Computer Science - Information Retrieval
Journal Article
JOURNAL OF MACHINE LEARNING RESEARCH, ISSN 1532-4435, 2017, Volume 18
In this paper, we study the minimax estimation of the Bochner integral mu(k)(P) := integral x(k)(.,x) dP(x) also called as the kernel mean embedding, based on random samples drawn... 
translation invariant kernel | minimax lower bounds | kernel mean embeddings | Bochner integral | Bochner's theorem | reproducing kernel Hilbert space | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Duke Mathematical Journal, ISSN 0012-7094, 06/2013, Volume 162, Issue 9, pp. 1621 - 1648
...) whenever H also shares those conditions. We also discuss some applications to compression functions of Lipschitz embeddings into uniformly convex Banach spaces, Folner... 
MATHEMATICS | DISCRETE-GROUPS | EMBEDDABILITY | UNIFORM EMBEDDINGS | AMENABLE-GROUPS | COMPRESSION | HILBERT-SPACE | CONJECTURE | Mathematics - Group Theory | 20F65 | 20E22 | 20F16 | 20F69
Journal Article
Computer Graphics Forum, ISSN 0167-7055, 06/2013, Volume 32, Issue 3pt1, pp. 121 - 130
.... In this work, we propose a new visualization of the fiber probability distribution. It is based on embedding the probability measure into a particular reproducing kernel Hilbert space... 
I.3.8 [Computer Graphics]: Applications | G.3 [Probability and Statistics]: Distribution functions | COMPUTER SCIENCE, SOFTWARE ENGINEERING | TENSOR | TRACTOGRAPHY | ORIENTATION | DIFFUSION MRI | METRICS | WILD BOOTSTRAP | Graphics software | Models | Fibers | Studies | Visualization | Analysis | Computer graphics | Hilbert space | Estimating techniques | Deltas | Uncertainty | Imaging | Diffusion | Estimates
Journal Article
数学年刊:B辑英文版, ISSN 0252-9599, 2014, Volume 35, Issue 5, pp. 733 - 742
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 369, Issue 1, pp. 60 - 75
Motivated by questions related to embeddings of homogeneous Sobolev spaces and to comparison of function spaces and operator ranges, we introduce the notion of closely embedded Hilbert spaces... 
Operator range | Absolute continuity | Kernel operator | Continuous embedding | Closed embedding | Homogeneous Sobolev space | Hilbert space | MATHEMATICS | MATHEMATICS, APPLIED | LEBESGUE-TYPE DECOMPOSITION | POSITIVE OPERATORS
Journal Article
Journal of Complexity, ISSN 0885-064X, 06/2015, Volume 31, Issue 3, pp. 405 - 423
We study embeddings between tensor products of weighted reproducing kernel Hilbert spaces... 
Reproducing kernel Hilbert space | Functions of infinitely many variables | Embeddings | Tensor product | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Geometric and Functional Analysis, ISSN 1016-443X, 8/2013, Volume 23, Issue 4, pp. 1207 - 1229
For two metric spaces X and Y, say that X threshold-embeds into Y if there exist a number K... 
Analysis | Mathematics | MARTINGALES | MATHEMATICS | DISTORTION | INEQUALITIES | DIMENSION | SMOOTH BANACH-SPACES | FINITE METRIC-SPACES | HILBERT-SPACE | UNIFORMLY CONVEX | GEOMETRY | GRAPHS | Computer science
Journal Article
Data mining and knowledge discovery, ISSN 1573-756X, 2019, Volume 33, Issue 2, pp. 499 - 525
Journal Article
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