Andersson et al., 2012 - Google Patents
On the representation of functions with Gaussian wave packetsAndersson et al., 2012
View PDF- Document ID
- 15243626639228989619
- Author
- Andersson F
- Carlsson M
- Tenorio L
- Publication year
- Publication venue
- Journal of Fourier Analysis and Applications
External Links
Snippet
We introduce Gaussian wave packets in pursuit of representations of functions, in which the representation is invariant under translation, modulation, scale, rotation and anisotropic dilation. Properties of both continuous and discrete representations are discussed. For the …
- 238000004458 analytical method 0 abstract description 29
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06K—RECOGNITION OF DATA; PRESENTATION OF DATA; RECORD CARRIERS; HANDLING RECORD CARRIERS
- G06K9/00—Methods or arrangements for reading or recognising printed or written characters or for recognising patterns, e.g. fingerprints
- G06K9/62—Methods or arrangements for recognition using electronic means
- G06K9/6217—Design or setup of recognition systems and techniques; Extraction of features in feature space; Clustering techniques; Blind source separation
- G06K9/6232—Extracting features by transforming the feature space, e.g. multidimensional scaling; Mappings, e.g. subspace methods
- G06K9/6247—Extracting features by transforming the feature space, e.g. multidimensional scaling; Mappings, e.g. subspace methods based on an approximation criterion, e.g. principal component analysis
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/50—Computer-aided design
- G06F17/5009—Computer-aided design using simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06K—RECOGNITION OF DATA; PRESENTATION OF DATA; RECORD CARRIERS; HANDLING RECORD CARRIERS
- G06K9/00—Methods or arrangements for reading or recognising printed or written characters or for recognising patterns, e.g. fingerprints
- G06K9/62—Methods or arrangements for recognition using electronic means
- G06K9/6217—Design or setup of recognition systems and techniques; Extraction of features in feature space; Clustering techniques; Blind source separation
- G06K9/6261—Design or setup of recognition systems and techniques; Extraction of features in feature space; Clustering techniques; Blind source separation partitioning the feature space
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06K—RECOGNITION OF DATA; PRESENTATION OF DATA; RECORD CARRIERS; HANDLING RECORD CARRIERS
- G06K9/00—Methods or arrangements for reading or recognising printed or written characters or for recognising patterns, e.g. fingerprints
- G06K9/62—Methods or arrangements for recognition using electronic means
- G06K9/6267—Classification techniques
- G06K9/6268—Classification techniques relating to the classification paradigm, e.g. parametric or non-parametric approaches
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/30—Information retrieval; Database structures therefor; File system structures therefor
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06N—COMPUTER SYSTEMS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N99/00—Subject matter not provided for in other groups of this subclass
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06K—RECOGNITION OF DATA; PRESENTATION OF DATA; RECORD CARRIERS; HANDLING RECORD CARRIERS
- G06K9/00—Methods or arrangements for reading or recognising printed or written characters or for recognising patterns, e.g. fingerprints
- G06K9/36—Image preprocessing, i.e. processing the image information without deciding about the identity of the image
- G06K9/46—Extraction of features or characteristics of the image
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06K—RECOGNITION OF DATA; PRESENTATION OF DATA; RECORD CARRIERS; HANDLING RECORD CARRIERS
- G06K9/00—Methods or arrangements for reading or recognising printed or written characters or for recognising patterns, e.g. fingerprints
- G06K9/00496—Recognising patterns in signals and combinations thereof
- G06K9/00503—Preprocessing, e.g. filtering
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06N—COMPUTER SYSTEMS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computer systems based on biological models
- G06N3/02—Computer systems based on biological models using neural network models
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Klus et al. | Data-driven model reduction and transfer operator approximation | |
| Tropp | Topics in sparse approximation | |
| Candes et al. | Recovering edges in ill-posed inverse problems: Optimality of curvelet frames | |
| Zeng | Computing multiple roots of inexact polynomials | |
| Le Clainche et al. | Higher order dynamic mode decomposition | |
| Halko et al. | Finding structure with randomness: Stochastic algorithms for constructing approximate matrix decompositions | |
| Ide et al. | Distinguished hyperbolic trajectories in time-dependent fluid flows: analytical and computational approach for velocity fields defined as data sets | |
| Rojas et al. | A trust-region approach to the regularization of large-scale discrete forms of ill-posed problems | |
| Phan et al. | CANDECOMP/PARAFAC decomposition of high-order tensors through tensor reshaping | |
| López et al. | Off-the-grid low-rank matrix recovery and seismic data reconstruction | |
| Demanet et al. | Fast wave computation via Fourier integral operators | |
| Halko | Randomized methods for computing low-rank approximations of matrices | |
| Andersson et al. | On the representation of functions with Gaussian wave packets | |
| Rambhatla et al. | Provable online CP/PARAFAC decomposition of a structured tensor via dictionary learning | |
| Maday et al. | Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials | |
| Giusti et al. | Iterated integrals and population time series analysis | |
| Gawlik et al. | High-order retractions on matrix manifolds using projected polynomials | |
| Casarino et al. | Spectral multipliers for the Kohn Laplacian on forms on the sphere in C n | |
| Papanicolaou et al. | Probabilistic theory of transport processes with polarization | |
| Geevers et al. | Sharp penalty term and time step bounds for the interior penalty discontinuous Galerkin method for linear hyperbolic problems | |
| Meziani et al. | Extended joint EVD algorithm for widely linear ARMA source separation | |
| Hollands et al. | SO (d, 1)-Invariant Yang–Baxter Operators and the dS/CFT Correspondence | |
| Sugiyama et al. | Active learning for optimal generalization in trigonometric polynomial models | |
| Hüper | A calculus approach to matrix eigenvalue algorithms | |
| Murshed et al. | Projection assisted dynamic mode decomposition of large scale data |