Ontology type: schema:ScholarlyArticle Open Access: True
2021-12-20
AUTHORSNawarat Ekkarntrong, Tipsuda Arunrat, Nimit Nimana
ABSTRACTIn this paper, we consider a distributed optimization problem of minimizing sum of convex functions over the intersection of fixed-point constraints. We propose a distributed method for solving the problem. We prove the convergence of the generated sequence to the solution of the problem under certain assumption. We further discuss the convergence rate with an appropriate positive stepsize. A numerical experiment is given to show the effectiveness of the obtained theoretical result. More... »
PAGES197
http://scigraph.springernature.com/pub.10.1186/s13660-021-02734-4
DOIhttp://dx.doi.org/10.1186/s13660-021-02734-4
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1144041973
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0103",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Numerical and Computational Mathematics",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand",
"id": "http://www.grid.ac/institutes/grid.9786.0",
"name": [
"Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand"
],
"type": "Organization"
},
"familyName": "Ekkarntrong",
"givenName": "Nawarat",
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand",
"id": "http://www.grid.ac/institutes/grid.9786.0",
"name": [
"Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand"
],
"type": "Organization"
},
"familyName": "Arunrat",
"givenName": "Tipsuda",
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand",
"id": "http://www.grid.ac/institutes/grid.9786.0",
"name": [
"Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand"
],
"type": "Organization"
},
"familyName": "Nimana",
"givenName": "Nimit",
"id": "sg:person.014733551611.67",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014733551611.67"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/s12190-014-0800-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051753306",
"https://doi.org/10.1007/s12190-014-0800-7"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11075-021-01067-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1136655295",
"https://doi.org/10.1007/s11075-021-01067-z"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-1-4419-9569-8_17",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1034246273",
"https://doi.org/10.1007/978-1-4419-9569-8_17"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11228-008-0102-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1020109765",
"https://doi.org/10.1007/s11228-008-0102-z"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-319-48311-5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1084688822",
"https://doi.org/10.1007/978-3-319-48311-5"
],
"type": "CreativeWork"
}
],
"datePublished": "2021-12-20",
"datePublishedReg": "2021-12-20",
"description": "In this paper, we consider a distributed optimization problem of minimizing sum of convex functions over the intersection of fixed-point constraints. We propose a distributed method for solving the problem. We prove the convergence of the generated sequence to the solution of the problem under certain assumption. We further discuss the convergence rate with an appropriate positive stepsize. A\u00a0numerical experiment is given to show the effectiveness of the obtained theoretical result.",
"genre": "article",
"id": "sg:pub.10.1186/s13660-021-02734-4",
"inLanguage": "en",
"isAccessibleForFree": true,
"isPartOf": [
{
"id": "sg:journal.1136856",
"issn": [
"1025-5834",
"1029-242X"
],
"name": "Journal of Inequalities and Applications",
"publisher": "Springer Nature",
"type": "Periodical"
},
{
"issueNumber": "1",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "2021"
}
],
"keywords": [
"convex functions",
"distributed optimization problem",
"optimization problem",
"convergence rate",
"numerical experiments",
"theoretical results",
"fixed-point constraint",
"certain assumptions",
"point constraints",
"convergence",
"distributed method",
"problem",
"stepsize",
"constraints",
"sum",
"function",
"solution",
"assumption",
"intersection",
"effectiveness",
"experiments",
"results",
"sequence",
"rate",
"method",
"paper"
],
"name": "Convergence of a distributed method for minimizing sum of convex functions with fixed point constraints",
"pagination": "197",
"productId": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1144041973"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1186/s13660-021-02734-4"
]
}
],
"sameAs": [
"https://doi.org/10.1186/s13660-021-02734-4",
"https://app.dimensions.ai/details/publication/pub.1144041973"
],
"sdDataset": "articles",
"sdDatePublished": "2022-05-10T10:30",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-springernature-scigraph/baseset/20220509/entities/gbq_results/article/article_884.jsonl",
"type": "ScholarlyArticle",
"url": "https://doi.org/10.1186/s13660-021-02734-4"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1186/s13660-021-02734-4'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/s13660-021-02734-4'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13660-021-02734-4'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13660-021-02734-4'
This table displays all metadata directly associated to this object as RDF triples.
116 TRIPLES
22 PREDICATES
56 URIs
43 LITERALS
6 BLANK NODES