Time series: theory and methods
Time series: theory and methods
Sparse matrices in matlab: design and implementation
SIAM Journal on Matrix Analysis and Applications
The nature of statistical learning theory
The nature of statistical learning theory
An introduction to support Vector Machines: and other kernel-based learning methods
An introduction to support Vector Machines: and other kernel-based learning methods
Compactly Supported RBF Kernels for Sparsifying the Gram Matrix in LS-SVM Regression Models
ICANN '02 Proceedings of the International Conference on Artificial Neural Networks
Shrinkage estimator generalizations of Proximal Support Vector Machines
Proceedings of the eighth ACM SIGKDD international conference on Knowledge discovery and data mining
On different facets of regularization theory
Neural Computation
IEEE Transactions on Knowledge and Data Engineering
On Representing and Generating Kernels by Fuzzy Equivalence Relations
The Journal of Machine Learning Research
Kernel-Based Positioning in Wireless Local Area Networks
IEEE Transactions on Mobile Computing
Invariant kernel functions for pattern analysis and machine learning
Machine Learning
Kernel PCA for similarity invariant shape recognition
Neurocomputing
Neurocomputing
Machine learning: a review of classification and combining techniques
Artificial Intelligence Review
Online kernel selection for Bayesian reinforcement learning
Proceedings of the 25th international conference on Machine learning
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems
Journal of Computational Physics
Kernel Trees for Support Vector Machines
IEICE - Transactions on Information and Systems
Nonlinear modeling of the internet delay structure
CoNEXT '08 Proceedings of the 2008 ACM CoNEXT Conference
Supervised Machine Learning: A Review of Classification Techniques
Proceedings of the 2007 conference on Emerging Artificial Intelligence Applications in Computer Engineering: Real Word AI Systems with Applications in eHealth, HCI, Information Retrieval and Pervasive Technologies
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Gaussian kernel based fuzzy rough sets: Model, uncertainty measures and applications
International Journal of Approximate Reasoning
Induction over Strategic Agents
Information Systems Research
Experiments on kernel tree support vector machines for text categorization
PAKDD'07 Proceedings of the 11th Pacific-Asia conference on Advances in knowledge discovery and data mining
Detecting Management Fraud in Public Companies
Management Science
A test of independence based on a generalized correlation function
Signal Processing
Noise reduction for instance-based learning with a local maximal margin approach
Journal of Intelligent Information Systems
The Journal of Machine Learning Research
Learning Translation Invariant Kernels for Classification
The Journal of Machine Learning Research
The GCS kernel for SVM-based image recognition
ICANN'05 Proceedings of the 15th international conference on Artificial neural networks: formal models and their applications - Volume Part II
Computationally Efficient Convolved Multiple Output Gaussian Processes
The Journal of Machine Learning Research
Nature inspiration for support vector machines
KES'06 Proceedings of the 10th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part II
Data mining tools: from web to grid architectures
EGC'05 Proceedings of the 2005 European conference on Advances in Grid Computing
Similarity kernels for nearest neighbor-based outlier detection
IDA'10 Proceedings of the 9th international conference on Advances in Intelligent Data Analysis
Editors Choice Article: I2VM: Incremental import vector machines
Image and Vision Computing
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Cross-document structural relationship identification using supervised machine learning
Applied Soft Computing
Joint learning of appearance and transformation for predicting brain MR image registration
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
Neuro-SVM Anticipatory System for Online Monitoring of Radiation and Abrupt Change Detection
International Journal of Monitoring and Surveillance Technologies Research
Random walk kernels and learning curves for Gaussian process regression on random graphs
The Journal of Machine Learning Research
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In this paper, we present classes of kernels for machine learning from a statistics perspective. Indeed, kernels are positive definite functions and thus also covariances. After discussing key properties of kernels, as well as a new formula to construct kernels, we present several important classes of kernels: anisotropic stationary kernels, isotropic stationary kernels, compactly supported kernels, locally stationary kernels, nonstationary kernels, and separable nonstationary kernels. Compactly supported kernels and separable nonstationary kernels are of prime interest because they provide a computational reduction for kernel-based methods. We describe the spectral representation of the various classes of kernels and conclude with a discussion on the characterization of nonlinear maps that reduce nonstationary kernels to either stationarity or local stationarity.