This HTML5 document contains 108 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
dbpedia-eshttp://es.dbpedia.org/resource/
n17https://global.dbpedia.org/id/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
dbpedia-ithttp://it.dbpedia.org/resource/
wikipedia-enhttp://en.wikipedia.org/wiki/
provhttp://www.w3.org/ns/prov#
dbchttp://dbpedia.org/resource/Category:
dbphttp://dbpedia.org/property/
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
goldhttp://purl.org/linguistics/gold/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Energetic_space
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Neural_tangent_kernel
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Mercer's_theorem
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Reproducing_kernel_Hilbert_space
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Definite_matrix
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Interior_reconstruction
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:String_kernel
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Positive-definite_function_on_a_group
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Positive_definiteness
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Stefan_Bergman
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Kernel_(statistics)
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Kernel_method
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Principal_component_regression
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:James_Mercer_(mathematician)
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Positive-definite_function
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Graph_kernel
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Covariance_function
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Support_vector_machine
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Positive-definite_kernel
rdfs:label
Kernel definito positivo Positive-definite kernel Núcleo definido positivo
rdfs:comment
In operator theory, a branch of mathematics, a positive-definite kernel is a generalization of a positive-definite function or a positive-definite matrix. It was first introduced by James Mercer in the early 20th century, in the context of solving integral operator equations. Since then, positive-definite functions and their various analogues and generalizations have arisen in diverse parts of mathematics. They occur naturally in Fourier analysis, probability theory, operator theory, complex function-theory, moment problems, integral equations, boundary-value problems for partial differential equations, machine learning, embedding problem, information theory, and other areas. In matematica, e in particolare nella teoria degli operatori, il kernel definito positivo costituisce una generalizzazione della nozione di funzione definita positiva o matrice definita positiva. Viene inoltre utilizzato nell'apprendimento automatico per l'analisi di pattern attraverso metodi kernel. En teoría de operadores, una rama de las matemáticas, un núcleo definido positivo es una generalización del concepto de función definida positiva o de matriz definida positiva. Fue introducido por primera vez por a principios del siglo XX, en el contexto de la resolución de ecuaciones con integrales. Desde entonces, las funciones definidas positivas y sus diversos análogos y generalizaciones han surgido en diversas partes de las matemáticas. Aparecen naturalmente en el análisis de Fourier, en la teoría de la probabilidad, en la teoría de operadores, en la teoría de funciones complejas, en , en ecuaciones integrales, problemas de condiciones de contorno para ecuaciones en derivadas parciales, en aprendizaje automático, en , en teoría de la información y en otras áreas.
dcterms:subject
dbc:Hilbert_space dbc:Operator_theory
dbo:wikiPageID
10273855
dbo:wikiPageRevisionID
1119426361
dbo:wikiPageWikiLink
dbr:Radial_basis_function_kernel dbr:Meshfree_methods dbr:Fredholm_integral_equation dbr:K-nearest_neighbors_algorithm dbr:Isometry dbr:Polynomial_kernel dbr:Positive-definite_matrix dbr:Complex_analysis dbr:Information_theory dbc:Hilbert_space dbr:Boundary_value_problem dbr:Kriging dbr:Hermann_Weyl dbr:Symmetric_function dbr:Response_surface_methodology dbr:Machine_learning dbr:Metric_(mathematics) dbr:Élie_Cartan dbr:Integral_transform dbr:Smoothed-particle_hydrodynamics dbr:Meshless_local_Petrov_Galerkin dbr:Mark_Krein dbr:Fourier_analysis dbr:Moment_problem dbr:Salomon_Bochner dbr:Computer_graphics_(computer_science) dbr:Embedding_problem dbr:Kernel_method dbr:Integral_equation dbr:Statistical_learning_theory dbr:Bessel_function dbr:Positive-definite_function_on_a_group dbr:Partial_differential_equation dbc:Operator_theory dbr:Eigenvalues_and_eigenvectors dbr:Operator_theory dbr:James_Mercer_(mathematician) dbr:Hilbert_space dbr:Eigenfunction dbr:Probability_theory dbr:Positive-definite_function dbr:Collocation_method dbr:Pseudometric_space dbr:Reproducing_kernel_Hilbert_space dbr:Reproducing_kernel_particle_method dbr:Sobolev_space dbr:Rapid_prototyping dbr:Covariance_function dbr:Representer_theorem
owl:sameAs
freebase:m.02q73kc dbpedia-es:Núcleo_definido_positivo wikidata:Q7233207 n17:4tNpA dbpedia-it:Kernel_definito_positivo
dbp:wikiPageUsesTemplate
dbt:Math_theorem dbt:Reflist dbt:Further dbt:EquationRef dbt:NumBlk
dbo:abstract
En teoría de operadores, una rama de las matemáticas, un núcleo definido positivo es una generalización del concepto de función definida positiva o de matriz definida positiva. Fue introducido por primera vez por a principios del siglo XX, en el contexto de la resolución de ecuaciones con integrales. Desde entonces, las funciones definidas positivas y sus diversos análogos y generalizaciones han surgido en diversas partes de las matemáticas. Aparecen naturalmente en el análisis de Fourier, en la teoría de la probabilidad, en la teoría de operadores, en la teoría de funciones complejas, en , en ecuaciones integrales, problemas de condiciones de contorno para ecuaciones en derivadas parciales, en aprendizaje automático, en , en teoría de la información y en otras áreas. Este artículo discute algunos de los desarrollos históricos y actuales de la teoría de los núcleos definidos positivos, comenzando con la idea general y las propiedades antes de considerar sus aplicaciones prácticas. In operator theory, a branch of mathematics, a positive-definite kernel is a generalization of a positive-definite function or a positive-definite matrix. It was first introduced by James Mercer in the early 20th century, in the context of solving integral operator equations. Since then, positive-definite functions and their various analogues and generalizations have arisen in diverse parts of mathematics. They occur naturally in Fourier analysis, probability theory, operator theory, complex function-theory, moment problems, integral equations, boundary-value problems for partial differential equations, machine learning, embedding problem, information theory, and other areas. This article will discuss some of the historical and current developments of the theory of positive-definite kernels, starting with the general idea and properties before considering practical applications. In matematica, e in particolare nella teoria degli operatori, il kernel definito positivo costituisce una generalizzazione della nozione di funzione definita positiva o matrice definita positiva. Viene inoltre utilizzato nell'apprendimento automatico per l'analisi di pattern attraverso metodi kernel.
gold:hypernym
dbr:Generalization
prov:wasDerivedFrom
wikipedia-en:Positive-definite_kernel?oldid=1119426361&ns=0
dbo:wikiPageLength
23032
foaf:isPrimaryTopicOf
wikipedia-en:Positive-definite_kernel
Subject Item
dbr:Radial_basis_function_kernel
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Metadynamics
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Kernel
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
dbo:wikiPageDisambiguates
dbr:Positive-definite_kernel
Subject Item
dbr:Tree_kernel
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Regularization_perspectives_on_support_vector_machines
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:SIC-POVM
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
Subject Item
dbr:Positive_definite_kernel
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
dbo:wikiPageRedirects
dbr:Positive-definite_kernel
Subject Item
dbr:Kernel_function
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
dbo:wikiPageRedirects
dbr:Positive-definite_kernel
Subject Item
dbr:Positive-definite_kernel_function
dbo:wikiPageWikiLink
dbr:Positive-definite_kernel
dbo:wikiPageRedirects
dbr:Positive-definite_kernel
Subject Item
wikipedia-en:Positive-definite_kernel
foaf:primaryTopic
dbr:Positive-definite_kernel