{"id":"https://openalex.org/W7162289626","doi":"https://doi.org/10.48550/arxiv.2605.23708","title":"Learning Dynamic Stability Landscapes in Synchronization Networks","display_name":"Learning Dynamic Stability Landscapes in Synchronization Networks","publication_year":2026,"publication_date":"2026-05-22","ids":{"openalex":"https://openalex.org/W7162289626","doi":"https://doi.org/10.48550/arxiv.2605.23708"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.23708","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23708","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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.23708","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059718334","display_name":"Christian Nauck","orcid":"https://orcid.org/0000-0003-1972-9654"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nauck, Christian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136899238","display_name":"Junyou Zhu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Junyou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101634058","display_name":"Michael Lindner","orcid":"https://orcid.org/0000-0002-8289-6845"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lindner, Michael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134170518","display_name":"Frank Hellmann","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hellmann, Frank","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.2498999983072281,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.2498999983072281,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.24869999289512634,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10241","display_name":"Functional Brain Connectivity Studies","score":0.1459999978542328,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6104999780654907},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.49729999899864197},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.490200012922287},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4799000024795532},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.4765999913215637},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.45840001106262207},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44279998540878296}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6104999780654907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5906999707221985},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.49729999899864197},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.490200012922287},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4799000024795532},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.4765999913215637},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.45840001106262207},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44279998540878296},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.43619999289512634},{"id":"https://openalex.org/C2983254600","wikidata":"https://www.wikidata.org/wiki/Q1096907","display_name":"Power grid","level":3,"score":0.43369999527931213},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4009999930858612},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.3993000090122223},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.33340001106262207},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31209999322891235},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.30660000443458557},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.28760001063346863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28690001368522644},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27630001306533813},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.2703000009059906},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.26649999618530273}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.23708","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23708","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":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.23708","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23708","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":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"robustness":[1],"of":[2,75,91,151],"synchronization":[3,40,113],"is":[4,16],"typically":[5],"characterized":[6],"by":[7],"scalar,":[8],"per-node":[9,63,101,124],"stability":[10,33,145,167],"indices":[11,48,168],"whose":[12],"dependence":[13],"on":[14,105],"topology":[15,118,158],"studied":[17],"via":[18],"network":[19,153],"science":[20],"or":[21],"graph":[22,67,134],"neural":[23],"networks":[24],"(GNNs).":[25],"We":[26],"propose":[27],"a":[28,55,69,106,120],"novel":[29],"upstream":[30],"task,":[31,86],"learning":[32,59],"landscapes,":[34,146],"which":[35,44],"provide":[36],"deeper":[37],"insights":[38],"into":[39],"behavior":[41],"and":[42,97,119,136,159,172],"from":[43,66,157],"many":[45],"such":[46],"scalar":[47,166],"can":[49],"be":[50],"derived.":[51],"Crucially,":[52],"we":[53,71,87],"pioneer":[54],"graph-to-image":[56],"prediction":[57],"paradigm:":[58],"image-like":[60],"landscapes":[61],"as":[62],"targets":[64],"directly":[65],"topology,":[68],"formulation":[70],"are":[72,155],"not":[73],"aware":[74],"having":[76],"been":[77],"established":[78],"elsewhere":[79],"in":[80,169],"the":[81,149],"literature.":[82],"To":[83],"support":[84],"this":[85],"release":[88],"two":[89],"datasets":[90],"10,000":[92],"graphs":[93],"each":[94],"at":[95],"20":[96],"100":[98],"nodes":[99],"with":[100,128],"landscape":[102],"labels,":[103],"based":[104],"conceptual":[107],"oscillator":[108],"model,":[109],"capturing":[110],"power":[111,139,173],"grid":[112,140],"behavior.":[114],"A":[115],"GNN":[116],"encodes":[117],"CNN":[121],"decoder":[122],"renders":[123],"images,":[125],"learned":[126],"end-to-end":[127],"good":[129],"in-distribution":[130],"accuracy,":[131],"generalizing":[132],"across":[133],"sizes":[135],"to":[137],"realistic":[138],"topologies.":[141],"This":[142],"demonstrates":[143],"that":[144],"while":[147],"beyond":[148,165],"reach":[150],"conventional":[152],"science,":[154],"learnable":[156],"open":[160],"new":[161],"avenues":[162],"for":[163],"moving":[164],"biology,":[170],"neuroscience,":[171],"grids.":[174]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-05-26T00:00:00"}
