{"id":"https://openalex.org/W4415333948","doi":"https://doi.org/10.48550/arxiv.2506.15464","title":"Spectral Contraction of Boundary-Weighted Filters on delta-Hyperbolic Graphs","display_name":"Spectral Contraction of Boundary-Weighted Filters on delta-Hyperbolic Graphs","publication_year":2025,"publication_date":"2025-06-18","ids":{"openalex":"https://openalex.org/W4415333948","doi":"https://doi.org/10.48550/arxiv.2506.15464"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2506.15464","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.15464","pdf_url":"https://arxiv.org/pdf/2506.15464","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2506.15464","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120057250","display_name":"Le Vu Anh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anh, Le Vu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052758843","display_name":"Mehmet D\u0131k","orcid":"https://orcid.org/0000-0003-0643-2771"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dik, Mehmet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Anh, Nguyen Viet","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anh, Nguyen Viet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.54830002784729},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5098999738693237},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4575999975204468},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4526999890804291},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.41609999537467957},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.40639999508857727},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.3806000053882599},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.3709999918937683}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.641700029373169},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.54830002784729},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5098999738693237},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4575999975204468},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4537000060081482},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4526999890804291},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4399999976158142},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43529999256134033},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.41609999537467957},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.40639999508857727},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3806000053882599},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3709999918937683},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3702999949455261},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.3522000014781952},{"id":"https://openalex.org/C2985906921","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Spectral properties","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.3425999879837036},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.34049999713897705},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32519999146461487},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27379998564720154},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26159998774528503},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.25290000438690186}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2506.15464","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.15464","pdf_url":"https://arxiv.org/pdf/2506.15464","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2506.15464","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2506.15464","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2506.15464","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.15464","pdf_url":"https://arxiv.org/pdf/2506.15464","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415333948.pdf","grobid_xml":"https://content.openalex.org/works/W4415333948.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Hierarchical":[0],"graphs":[1],"often":[2],"exhibit":[3],"tree-like":[4],"branching":[5],"patterns,":[6],"a":[7,20,47,59,71,84],"structural":[8],"property":[9],"that":[10,23],"challenges":[11],"the":[12,35,52],"design":[13],"of":[14,62],"traditional":[15],"graph":[16,89],"filters.":[17],"We":[18],"introduce":[19],"boundary-weighted":[21],"operator":[22],"rescales":[24],"each":[25,66],"edge":[26],"according":[27],"to":[28],"how":[29],"far":[30],"its":[31,63],"endpoints":[32],"drift":[33],"toward":[34],"graph's":[36],"Gromov":[37],"boundary.":[38],"Using":[39],"Busemann":[40],"functions":[41],"on":[42,51,92],"delta-hyperbolic":[43],"networks,":[44],"we":[45],"prove":[46],"closed-form":[48],"upper":[49],"bound":[50],"operator's":[53],"spectral":[54],"norm:":[55],"every":[56],"signal":[57,90],"loses":[58],"curvature-controlled":[60],"fraction":[61],"energy":[64],"at":[65],"pass.":[67],"The":[68],"result":[69],"delivers":[70],"parameter-free,":[72],"lightweight":[73],"filter":[74],"whose":[75],"stability":[76],"follows":[77],"directly":[78],"from":[79],"geometric":[80],"first":[81],"principles,":[82],"offering":[83],"new":[85],"analytic":[86],"tool":[87],"for":[88],"processing":[91],"data":[93],"with":[94],"dense":[95],"or":[96],"hidden":[97],"hierarchical":[98],"structure.":[99]},"counts_by_year":[],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-19T00:00:00"}