Van Der Vaart et al., 2011 - Google Patents
Information Rates of Nonparametric Gaussian Process Methods.Van Der Vaart et al., 2011
View PDF- Document ID
- 12182647262119887649
- Author
- Van Der Vaart A
- Van Zanten H
- Publication year
- Publication venue
- Journal of Machine Learning Research
External Links
Snippet
We consider the quality of learning a response function by a nonparametric Bayesian approach using a Gaussian process (GP) prior on the response function. We upper bound the quadratic risk of the learning procedure, which in turn is an upper bound on the Kullback …
- 238000000034 method 0 title abstract description 39
Classifications
-
- 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
- G06F17/50—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
- G06K9/6267—Classification techniques
- G06K9/6268—Classification techniques relating to the classification paradigm, e.g. parametric or non-parametric approaches
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- 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
- G06N—COMPUTER SYSTEMS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N99/00—Subject matter not provided for in other groups of this subclass
- G06N99/005—Learning machines, i.e. computer in which a programme is changed according to experience gained by the machine itself during a complete run
-
- 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
- G06K9/6218—Clustering techniques
- G06K9/622—Non-hierarchical partitioning techniques
- G06K9/6226—Non-hierarchical partitioning techniques based on the modelling of probability density functions
-
- 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
- G06K9/6279—Classification techniques relating to the number of classes
-
- 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
- G06F17/30286—Information retrieval; Database structures therefor; File system structures therefor in structured data stores
-
- 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
- G06K9/6296—Graphical models, e.g. Bayesian networks
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F19/00—Digital computing or data processing equipment or methods, specially adapted for specific applications
- G06F19/10—Bioinformatics, i.e. methods or systems for genetic or protein-related data processing in computational molecular biology
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06N—COMPUTER SYSTEMS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computer systems based on biological models
- G06N3/12—Computer systems based on biological models using genetic models
- G06N3/126—Genetic algorithms, i.e. information processing using digital simulations of the genetic system
Similar Documents
Publication | Publication Date | Title |
---|---|---|
Van Der Vaart et al. | Information Rates of Nonparametric Gaussian Process Methods. | |
Yang et al. | Frequentist coverage and sup-norm convergence rate in Gaussian process regression | |
Bian et al. | Optimality and complexity for constrained optimization problems with nonconvex regularization | |
Rudelson et al. | Hafnians, perfect matchings and Gaussian matrices | |
Sun et al. | Learning structured densities via infinite dimensional exponential families | |
Cai et al. | Metropolis–Hastings algorithms with adaptive proposals | |
Lee et al. | Robust hypergraph clustering via convex relaxation of truncated MLE | |
Liu et al. | Generating private synthetic data with genetic algorithms | |
Garber | On the convergence of projected-gradient methods with low-rank projections for smooth convex minimization over trace-norm balls and related problems | |
Lu | Optimization over sparse symmetric sets via a nonmonotone projected gradient method | |
Khardani et al. | Nonparametric conditional density estimation for censored data based on a recursive kernel | |
Su et al. | Sparse estimation of generalized linear models (GLM) via approximated information criteria | |
Chee et al. | “Plus/minus the learning rate”: Easy and Scalable Statistical Inference with SGD | |
Delyon et al. | Asymptotic optimality of adaptive importance sampling | |
Song et al. | Hede: Heritability estimation in high dimensions by ensembling debiased estimators | |
Li et al. | Adaptively Robust and Sparse K-means Clustering | |
Kirichenko et al. | Minimax lower bounds for function estimation on graphs | |
Miasojedow et al. | Sparse estimation in ising model via penalized Monte Carlo methods | |
Su et al. | Sampling-free learning of Bayesian quantized neural networks | |
Ma et al. | Compressed sensing via universal denoising and approximate message passing | |
Jolicoeur-Martineau et al. | Gotta go fast with score-based generative models | |
Chichignoud et al. | Adaptive noisy clustering | |
Olea et al. | On the generalization error of norm penalty linear regression models | |
Hadji et al. | Optimal recovery and uncertainty quantification for distributed Gaussian process regression | |
Lee et al. | Nonparametric trace regression in high dimensions via sign series representation |