1999, Lecture notes in mathematics, ISBN 3540667660, Volume 1721., xxxi, 345

Book

Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2014, Volume 160, Issue 1, pp. 1 - 29

In this paper, we present two Douglas–Rachford inspired iteration schemes which can be applied directly to N-set convex feasibility problems in Hilbert space...

Asymptotic regularity | Mathematics | Theory of Computation | Projections | Nonexpansive map | Optimization | Douglas–Rachford method | Convex feasibility problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Fixed points | Applications of Mathematics | Engineering, general | Firmly nonexpansive map | Parallelization | Douglas-Rachford method | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | ALGORITHM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | PRODUCTS | SETS | CONVERGENCE | HILBERT-SPACE | OPERATORS | Studies | Mathematical analysis | Asymptotic methods | Norms | Projection | Feasibility | Hilbert space | Subspaces | Iterative methods | Convergence

Asymptotic regularity | Mathematics | Theory of Computation | Projections | Nonexpansive map | Optimization | Douglas–Rachford method | Convex feasibility problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Fixed points | Applications of Mathematics | Engineering, general | Firmly nonexpansive map | Parallelization | Douglas-Rachford method | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | ALGORITHM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | PRODUCTS | SETS | CONVERGENCE | HILBERT-SPACE | OPERATORS | Studies | Mathematical analysis | Asymptotic methods | Norms | Projection | Feasibility | Hilbert space | Subspaces | Iterative methods | Convergence

Journal Article

Journal of Algebra, ISSN 0021-8693, 02/2020, Volume 544, pp. 92 - 124

In this paper, we describe the worst unstable points of a Hilbert scheme for some special Hilbert polynomials and ambient spaces using Murai's work on Gotzmann monomial sets...

Geometric invariant theory | Castelnuovo-Mumford regularity | Hilbert scheme | Hesselink stratification | Gotzmann theorems | K-stability | MATHEMATICS | INSTABILITY

Geometric invariant theory | Castelnuovo-Mumford regularity | Hilbert scheme | Hesselink stratification | Gotzmann theorems | K-stability | MATHEMATICS | INSTABILITY

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2016, Volume 309, pp. 106 - 130

We study a symmetric BEM–FEM coupling scheme for the scattering of transient acoustic waves by bounded inhomogeneous anisotropic obstacles in a homogeneous field...

Convolution quadrature | BEM–FEM coupling | Transient wave equation | EXTERIOR | BOUNDARY INTEGRAL-EQUATIONS | POTENTIALS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FINITE | ENGINEERING, MULTIDISCIPLINARY | BEM-FEM coupling | ELEMENT METHODS | UNBOUNDED-DOMAINS | PROPAGATION | Anisotropy | Analysis

Convolution quadrature | BEM–FEM coupling | Transient wave equation | EXTERIOR | BOUNDARY INTEGRAL-EQUATIONS | POTENTIALS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FINITE | ENGINEERING, MULTIDISCIPLINARY | BEM-FEM coupling | ELEMENT METHODS | UNBOUNDED-DOMAINS | PROPAGATION | Anisotropy | Analysis

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2013, Volume 240, pp. 174 - 183

The empirical mode decomposition (EMD) has been developed by N.E. Huang et al. in 1998 as an iterative method to decompose a nonlinear and nonstationary...

Sparse data-adapted basis | Empirical mode decomposition (EMD) | Envelope | Convex optimization | Instantaneous frequencies | Intrinsic mode functions (IMFs) | HILBERT | MATHEMATICS, APPLIED | TRANSFORM | Analysis | Algorithms | Envelopes | Construction | Mathematical analysis | Decomposition | Mathematical models | Iterative methods | Empirical analysis | Optimization

Sparse data-adapted basis | Empirical mode decomposition (EMD) | Envelope | Convex optimization | Instantaneous frequencies | Intrinsic mode functions (IMFs) | HILBERT | MATHEMATICS, APPLIED | TRANSFORM | Analysis | Algorithms | Envelopes | Construction | Mathematical analysis | Decomposition | Mathematical models | Iterative methods | Empirical analysis | Optimization

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 06/2017, Volume 88, Issue 4, pp. 2817 - 2829

.... The reproducing kernel Hilbert space method and group preserving scheme also have been applied to the nonlinear equation...

Reproducing kernel method | Poisson–Boltzmann equation | Group preserving scheme | Lie symmetry analysis | KLEIN-GORDON EQUATION | BACKWARD | DISPERSION | CAUCHY-PROBLEM | Poisson-Boltzmann equation | SHOCK-WAVES | ENGINEERING, MECHANICAL | MECHANICS | SOLITONS | INTEGRATION | CONSERVATION-LAWS | POWER-LAW NONLINEARITY | BIFURCATION-ANALYSIS | Field-effect transistors | Analysis | Methods | Kernels | Nonlinear equations | Metal oxide semiconductors | Semiconductor devices | Field effect transistors | Boltzmann transport equation | Hilbert space | MOSFETs

Reproducing kernel method | Poisson–Boltzmann equation | Group preserving scheme | Lie symmetry analysis | KLEIN-GORDON EQUATION | BACKWARD | DISPERSION | CAUCHY-PROBLEM | Poisson-Boltzmann equation | SHOCK-WAVES | ENGINEERING, MECHANICAL | MECHANICS | SOLITONS | INTEGRATION | CONSERVATION-LAWS | POWER-LAW NONLINEARITY | BIFURCATION-ANALYSIS | Field-effect transistors | Analysis | Methods | Kernels | Nonlinear equations | Metal oxide semiconductors | Semiconductor devices | Field effect transistors | Boltzmann transport equation | Hilbert space | MOSFETs

Journal Article

Communications in Algebra, ISSN 0092-7872, 09/2019, Volume 47, Issue 9, pp. 3614 - 3628

We study the singularities of the isospectral Hilbert scheme B n of n points over a smooth algebraic surface and we prove that they are canonical if , log-canonical if and not log-canonical...

crepant resolution | log-canonical thresholds | canonical singularities | Isospectral Hilbert scheme of points | MATHEMATICS | RINGS | RATIONAL-SINGULARITIES | MULTIPLIER IDEALS | Singularities

crepant resolution | log-canonical thresholds | canonical singularities | Isospectral Hilbert scheme of points | MATHEMATICS | RINGS | RATIONAL-SINGULARITIES | MULTIPLIER IDEALS | Singularities

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2008, Volume 214, Issue 1, pp. 186 - 201

.... Second, by virtue of this result we introduce a hybrid iterative scheme for finding a common element of the set of solutions of MEP and the set of common fixed points of finitely many nonexpansive mappings...

Hilbert spaces | Mixed equilibrium problems | Hybrid iterative schemes | [formula omitted]-Strongly convex functions | Nonexpansive mappings | KKM mappings | η-Strongly convex functions | eta-Strongly convex functions | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INEQUALITIES | mixed equilibrium problems | CONVERGENCE | hybrid iterative schemes | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | nonexpansive mappings

Hilbert spaces | Mixed equilibrium problems | Hybrid iterative schemes | [formula omitted]-Strongly convex functions | Nonexpansive mappings | KKM mappings | η-Strongly convex functions | eta-Strongly convex functions | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | INEQUALITIES | mixed equilibrium problems | CONVERGENCE | hybrid iterative schemes | ALGORITHMS | VISCOSITY APPROXIMATION METHODS | nonexpansive mappings

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 03/2018, Volume 18, Issue 2

Given a 0-dimensional scheme X in a projective space P-K(n) over a field K, we characterize the Cayley-Bacharach property (CBP...

Dedekind different | Dedekind’s formula | Hilbert function | almost Gorenstein | Cayley–Bacharach scheme | Zero-dimensional scheme | MATHEMATICS | MATHEMATICS, APPLIED | RINGS | Dedekind's formula | Cayley-Bacharach scheme | CANONICAL MODULE | POINT

Dedekind different | Dedekind’s formula | Hilbert function | almost Gorenstein | Cayley–Bacharach scheme | Zero-dimensional scheme | MATHEMATICS | MATHEMATICS, APPLIED | RINGS | Dedekind's formula | Cayley-Bacharach scheme | CANONICAL MODULE | POINT

Journal Article

Sensors (Switzerland), ISSN 1424-8220, 08/2018, Volume 18, Issue 8, p. 2487

...). Different from existing data collection models in WSNs, we propose a collaborative data collection scheme based on optimal clustering to collect the sensed data in an energy-efficient and load-balanced manner...

Data collection | Wireless sensor networks | Clustering | Compressed sensing | Optimization | ELECTROCHEMISTRY | CHEMISTRY, ANALYTICAL | INSTRUMENTS & INSTRUMENTATION | wireless sensor networks | compressed sensing | optimization | RECONSTRUCTION | clustering | ALGORITHMS | data collection | EFFICIENT | Remote sensors | Energy consumption | Core wire | Data compression | Energy distribution | Data transmission | Computational geometry | Hilbert curve | Algorithms | Collaboration | Collection | Convexity

Data collection | Wireless sensor networks | Clustering | Compressed sensing | Optimization | ELECTROCHEMISTRY | CHEMISTRY, ANALYTICAL | INSTRUMENTS & INSTRUMENTATION | wireless sensor networks | compressed sensing | optimization | RECONSTRUCTION | clustering | ALGORITHMS | data collection | EFFICIENT | Remote sensors | Energy consumption | Core wire | Data compression | Energy distribution | Data transmission | Computational geometry | Hilbert curve | Algorithms | Collaboration | Collection | Convexity

Journal Article

1994, 2nd rev. and expanded ed., ISBN 9780387575544, 2 v.

Book

Computers & Security, ISSN 0167-4048, 02/2015, Volume 48, pp. 131 - 141

.... In this paper, we propose a new data hiding method which can increase the steganographic security of a data hiding scheme because it is less detectable by RS detection attack and the steganalytic...

Data hiding | Exploiting modification directions | Hilbert curve | Optimization problem | PVD | STEGANALYSIS | IMAGE | ROBUST | EMBEDDING EFFICIENCY | COMPUTER SCIENCE, INFORMATION SYSTEMS | STEGANOGRAPHIC METHOD | Steganography | Eyes | Surface layer | Digits | Images | Computer information security | Estimates | Texture | Pixels

Data hiding | Exploiting modification directions | Hilbert curve | Optimization problem | PVD | STEGANALYSIS | IMAGE | ROBUST | EMBEDDING EFFICIENCY | COMPUTER SCIENCE, INFORMATION SYSTEMS | STEGANOGRAPHIC METHOD | Steganography | Eyes | Surface layer | Digits | Images | Computer information security | Estimates | Texture | Pixels

Journal Article

Medical Physics, ISSN 0094-2405, 08/2009, Volume 36, Issue 8, pp. 3575 - 3581

.... To meet this challenge, here the authors propose a scheme of multisource interior tomography for ultrafast imaging that reconstructs a relatively small region of interest (ROI...

multisource system | ultrafast tomography | interior tomography | computed tomography (CT) | Medical imaging | X‐ray imaging | image reconstruction | X‐ray detectors | Hilbert transforms | lung | computerised tomography | Computed tomography | Medical X‐ray imaging | Tomography | Medical image reconstruction | Dosimetry | medical image processing | Computed tomography (CT) | Multisource system | Ultrafast tomography | Interior tomography | BEAM | DESIGN | IMAGE-RECONSTRUCTION | ALGORITHM | BACKPROJECTION | TRANSFORM | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | COMPUTED-TOMOGRAPHY | Animals | Image Processing, Computer-Assisted | Time Factors | Tomography, X-Ray Computed - methods | Sheep | Lung - diagnostic imaging | Heart Diseases - diagnostic imaging | Radiation Dosage | Radiation Imaging Physics

multisource system | ultrafast tomography | interior tomography | computed tomography (CT) | Medical imaging | X‐ray imaging | image reconstruction | X‐ray detectors | Hilbert transforms | lung | computerised tomography | Computed tomography | Medical X‐ray imaging | Tomography | Medical image reconstruction | Dosimetry | medical image processing | Computed tomography (CT) | Multisource system | Ultrafast tomography | Interior tomography | BEAM | DESIGN | IMAGE-RECONSTRUCTION | ALGORITHM | BACKPROJECTION | TRANSFORM | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | COMPUTED-TOMOGRAPHY | Animals | Image Processing, Computer-Assisted | Time Factors | Tomography, X-Ray Computed - methods | Sheep | Lung - diagnostic imaging | Heart Diseases - diagnostic imaging | Radiation Dosage | Radiation Imaging Physics

Journal Article

Journal de mathématiques pures et appliquées, ISSN 0021-7824, 09/2015, Volume 104, Issue 3, pp. 403 - 435

.... Vasserot to relate knot invariants to the Hilbert scheme of points on C2. Then we use the methods of the second author to compute these invariants explicitly in the uncolored case...

Torus knots | Hilbert scheme | Double affine Hecke algebra | 14F05 | 14C05 | 55A25 | TESLER MATRICES | ELLIPTIC HALL ALGEBRA | MATHEMATICS, APPLIED | COMPACTIFIED JACOBIANS | HECKE ALGEBRAS | AFFINE SPRINGER FIBERS | FINITE-DIMENSIONAL REPRESENTATIONS | RATIONAL CHEREDNIK ALGEBRAS | T-CATALAN NUMBERS | MATHEMATICS | FIXED-POINT VARIETIES | QUOTIENT RING | Algebra

Torus knots | Hilbert scheme | Double affine Hecke algebra | 14F05 | 14C05 | 55A25 | TESLER MATRICES | ELLIPTIC HALL ALGEBRA | MATHEMATICS, APPLIED | COMPACTIFIED JACOBIANS | HECKE ALGEBRAS | AFFINE SPRINGER FIBERS | FINITE-DIMENSIONAL REPRESENTATIONS | RATIONAL CHEREDNIK ALGEBRAS | T-CATALAN NUMBERS | MATHEMATICS | FIXED-POINT VARIETIES | QUOTIENT RING | Algebra

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2010, Volume 56, Issue 11, pp. 5839 - 5846

This paper presents a general coding method where data in a Hilbert space are represented by finite dimensional coding vectors. The method is based on...

estimation bounds | Empirical risk minimization | statistical learning | Extraterrestrial measurements | Encoding | Hilbert space | Vectors | Complexity theory | Sparse matrices | K -means clustering and vector quantization | Principal component analysis | estimation bounds K-means clustering and vector quantization | K-means clustering and vector quantization | MATRIX | GENERALIZATION ERROR | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Coding theory | Usage | Functions of bounded variation | Analysis | Estimation theory | Vector spaces | Methods | Reconstruction | Coding | Mathematical analysis | Vectors (mathematics) | Factorization | Linear operators | Optimization

estimation bounds | Empirical risk minimization | statistical learning | Extraterrestrial measurements | Encoding | Hilbert space | Vectors | Complexity theory | Sparse matrices | K -means clustering and vector quantization | Principal component analysis | estimation bounds K-means clustering and vector quantization | K-means clustering and vector quantization | MATRIX | GENERALIZATION ERROR | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Coding theory | Usage | Functions of bounded variation | Analysis | Estimation theory | Vector spaces | Methods | Reconstruction | Coding | Mathematical analysis | Vectors (mathematics) | Factorization | Linear operators | Optimization

Journal Article

Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2016, Volume 68, Issue 3, pp. 1325 - 1356

Let D be a smooth divisor on a non singular surface S. We compute the Betti numbers of the Hilbert scheme of points of S relative to D...

Relative hilbert scheme | Hilbert scheme of points | MATHEMATICS | LOCALIZATION | K-THEORY | relative Hilbert scheme | HOMOLOGY | Mathematics - Algebraic Geometry

Relative hilbert scheme | Hilbert scheme of points | MATHEMATICS | LOCALIZATION | K-THEORY | relative Hilbert scheme | HOMOLOGY | Mathematics - Algebraic Geometry

Journal Article

Periodica Mathematica Hungarica, ISSN 0031-5303, 9/2016, Volume 73, Issue 1, pp. 93 - 99

In this note we investigate the generating series of the Euler characteristics of the Hilbert scheme of points on cyclic quotient singularities of type (p, 1...

Mathematics, general | Mathematics | p -fountain | Cyclic quotient singularity | Hilbert scheme | p-fountain | MATHEMATICS | MATHEMATICS, APPLIED

Mathematics, general | Mathematics | p -fountain | Cyclic quotient singularity | Hilbert scheme | p-fountain | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 2/2017, Volume 196, Issue 1, pp. 19 - 41

... of a Grassmannian and then the double-generic initial ideal of a so-called GL-stable subset of a Hilbert scheme...

15A75 | 14E08 | Generic initial ideal | Irreducible component | Hilbert scheme | Rationality | Mathematics, general | 14Q15 | Mathematics | Maximal Hilbert function | Extensor | 14C05 | MATHEMATICS | MATHEMATICS, APPLIED | FAMILIES | COMBINATORIAL APPROACH | INVOLUTION | STABLE IDEALS | Algebra

15A75 | 14E08 | Generic initial ideal | Irreducible component | Hilbert scheme | Rationality | Mathematics, general | 14Q15 | Mathematics | Maximal Hilbert function | Extensor | 14C05 | MATHEMATICS | MATHEMATICS, APPLIED | FAMILIES | COMBINATORIAL APPROACH | INVOLUTION | STABLE IDEALS | Algebra

Journal Article

Journal of Engineering Mechanics, ISSN 0733-9399, 08/2018, Volume 144, Issue 8, p. 4018063

.... In this study, a Hilbert transform using the wavelet packet decomposition technique (Hilbert-wavelet-based scheme...

Technical Papers | Nonstationarity | Hilbert-wavelet-based scheme | Multiscale spatial correlation | Simulation | SIGNAL | GUST-FRONT FACTOR | DECOMPOSITION | MODEL | ENGINEERING, MECHANICAL | FREQUENCY | FRAMEWORK | SPECTRUM | COHERENCE | TRANSIENT | HYBRID | Broadband | Computer simulation | Wind effects | Correlation coefficients | Stationary processes | Wavelet analysis | Hurricanes | Decomposition | Hilbert transformation | Coherence | Signal processing | Downbursts | Aerodynamic characteristics

Technical Papers | Nonstationarity | Hilbert-wavelet-based scheme | Multiscale spatial correlation | Simulation | SIGNAL | GUST-FRONT FACTOR | DECOMPOSITION | MODEL | ENGINEERING, MECHANICAL | FREQUENCY | FRAMEWORK | SPECTRUM | COHERENCE | TRANSIENT | HYBRID | Broadband | Computer simulation | Wind effects | Correlation coefficients | Stationary processes | Wavelet analysis | Hurricanes | Decomposition | Hilbert transformation | Coherence | Signal processing | Downbursts | Aerodynamic characteristics

Journal Article