{"id":"https://openalex.org/W7168320533","doi":"https://doi.org/10.48550/arxiv.2607.09710","title":"Hyperbolic Manifold Constrained Tabular Neural Network","display_name":"Hyperbolic Manifold Constrained Tabular Neural Network","publication_year":2026,"publication_date":"2026-06-23","ids":{"openalex":"https://openalex.org/W7168320533","doi":"https://doi.org/10.48550/arxiv.2607.09710"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2607.09710","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.09710","pdf_url":"https://arxiv.org/pdf/2607.09710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2607.09710","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140573418","display_name":"Tian Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Li, Tian","raw_affiliation_strings":["Newcastle University Newcastle upon Tyne , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Newcastle University Newcastle upon Tyne , UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153478194","display_name":"Huizhi Liang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Liang, Huizhi","raw_affiliation_strings":["Newcastle University Newcastle upon Tyne , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Newcastle University Newcastle upon Tyne , UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140704490","display_name":"Lucy Robinson","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Robinson, Lucy","raw_affiliation_strings":["Newcastle University Newcastle upon Tyne , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Newcastle University Newcastle upon Tyne , UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058318377","display_name":"Varun Ojha","orcid":"https://orcid.org/0000-0002-9256-1192","observed_orcids":["https://orcid.org/0000-0002-9256-1192"]},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ojha, Varun","raw_affiliation_strings":["Newcastle University Newcastle upon Tyne , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Newcastle University Newcastle upon Tyne , UK","institution_ids":["https://openalex.org/I84884186"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I84884186"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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/T10320","display_name":"Neural Networks and Applications","score":0.6464999914169312,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.6464999914169312,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12676","display_name":"Machine Learning and ELM","score":0.09359999746084213,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12535","display_name":"Machine Learning and Data Classification","score":0.08309999853372574,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperbolic-geometry","display_name":"hyperbolic geometry","score":0.9610000252723694},{"id":"https://openalex.org/keywords/hyperbolic-neural-networks","display_name":"hyperbolic neural networks","score":0.871999979019165},{"id":"https://openalex.org/keywords/latent-representation-learning","display_name":"latent representation learning","score":0.7009999752044678},{"id":"https://openalex.org/keywords/relational-data","display_name":"relational data","score":0.3659999966621399}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6812999844551086},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6280999779701233},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5884000062942505},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5698000192642212},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5475999712944031},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5239999890327454},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5001999735832214},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.475600004196167},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.4652999937534332},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4300999939441681},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.39899998903274536},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.3946000039577484},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.3885999917984009},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3522000014781952},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3515999913215637},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.34929999709129333},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.33480000495910645},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C52622490","wikidata":"https://www.wikidata.org/wiki/Q1026626","display_name":"Feature extraction","level":2,"score":0.262800008058548}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2607.09710","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.09710","pdf_url":"https://arxiv.org/pdf/2607.09710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2607.09710","doi":"https://doi.org/10.48550/arxiv.2607.09710","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.09710","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2607.09710","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.09710","pdf_url":"https://arxiv.org/pdf/2607.09710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7168320533.pdf","grobid_xml":"https://content.openalex.org/works/W7168320533.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W3111356309","https://openalex.org/W4315588382"],"related_works":["https://openalex.org/W3030564741","https://openalex.org/W7160608517","https://openalex.org/W2803294777","https://openalex.org/W7131423859","https://openalex.org/W7127349981","https://openalex.org/W7126193127","https://openalex.org/W2804069376","https://openalex.org/W4391591057","https://openalex.org/W4221151119","https://openalex.org/W4380994372"],"abstract_inverted_index":{"Tabular":[0,11],"prediction":[1,46],"is":[2,182],"central":[3],"to":[4,56,116],"a":[5,28,69,83,96,102],"wide":[6],"range":[7],"of":[8,82,122],"real-world":[9],"applications.":[10],"data":[12],"typically":[13],"contain":[14],"heterogeneous":[15,89,123],"features":[16],"as":[17,19],"well":[18],"rich":[20],"and":[21,50,91,105,161],"complex":[22,37],"relational":[23],"information":[24],"that":[25,173],"can":[26,34,132],"imply":[27],"latent":[29,119,129],"structural":[30,38],"manifold.":[31],"Hyperbolic":[32],"geometry":[33,59,115],"help":[35],"capture":[36],"relations":[39],"in":[40,52],"data.":[41],"However,":[42],"most":[43],"existing":[44],"tabular":[45,62,74,78,179],"models":[47],"are":[48],"constructed":[49],"optimized":[51],"Euclidean":[53,137],"space.":[54],"How":[55],"incorporate":[57],"hyperbolic":[58,71,84,114,130,176],"into":[60,135],"supervised":[61,70],"learning":[63,121],"remains":[64],"underexplored.":[65],"We":[66,143],"propose":[67],"\\textbf{HTNN},":[68],"manifold":[72,177],"constrained":[73,178],"neural":[75,180],"network":[76,181],"for":[77,88,139],"prediction.":[79],"HTNN":[80,100,151],"consists":[81],"feature-value":[85],"representation":[86,120],"layer":[87],"categorical":[90],"numerical":[92],"features,":[93],"followed":[94],"by":[95],"conventional":[97],"MLP":[98],"predictor.":[99],"employs":[101],"\\emph{geometry-aware":[103,111],"training}":[104,112],"\\emph{geometry-free":[106,141],"inference}":[107],"optimization":[108],"framework.":[109],"The":[110],"allows":[113],"shape":[117],"the":[118,128,148,174],"feature":[124],"values.":[125],"After":[126],"training,":[127],"representations":[131],"be":[133],"converted":[134],"ordinary":[136],"space":[138],"efficient":[140],"inference}.":[142],"conducted":[144],"extensive":[145],"experiments":[146],"on":[147,157,166],"TALENT":[149],"benchmark.":[150],"ranks":[152],"first":[153],"among":[154,163],"36":[155],"methods":[156,165],"200":[158],"classification":[159],"datasets":[160],"third":[162],"34":[164],"100":[167],"regression":[168],"datasets.":[169],"Experimental":[170],"results":[171],"show":[172],"proposed":[175],"effective.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-07-15T00:00:00"}
