乐胖代购免代理版

{"id":"https://openalex.org/W4283324586","doi":"https://doi.org/10.48550/arxiv.2206.10385","title":"Approximate Equivariance SO(3) Needlet Convolution","display_name":"Approximate Equivariance SO(3) Needlet Convolution","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4283324586","doi":"https://doi.org/10.48550/arxiv.2206.10385"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2206.10385","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":["Cornell University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2206.10385","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100765686","display_name":"Kai Yi","orcid":"https://orcid.org/0000-0003-0415-3584"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yi, Kai","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100339549","display_name":"Jialin Chen","orcid":"https://orcid.org/0000-0002-2436-0516"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Jialin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070236689","display_name":"Yu Guang Wang","orcid":"https://orcid.org/0000-0002-7450-0273"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yu Guang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027695625","display_name":"Bingxin Zhou","orcid":"https://orcid.org/0000-0002-3897-9766"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Bingxin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056748708","display_name":"P\u00edetro Li\u00f3","orcid":"https://orcid.org/0000-0002-0540-5053"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li\u00f2, Pietro","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100296132","display_name":"Yanan Fan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fan, Yanan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5106631462","display_name":"Jan Hamann","orcid":"https://orcid.org/0000-0003-2006-0089"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hamann, Jan","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":60},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9917,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9917,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9604,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.948,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5350794},{"id":"https://openalex.org/keywords/rotation-group-so","display_name":"Rotation group SO","score":0.48630223}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.53663045},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5350794},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.50232816},{"id":"https://openalex.org/C207570611","wikidata":"https://www.wikidata.org/wiki/Q1256500","display_name":"Rotation group SO","level":2,"score":0.48630223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46848524},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.45899373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44446445},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.41246593},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35074666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33581972},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27046424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22048795},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1514526},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2206.10385","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":["Cornell University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2206.10385","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2206.10385","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":["Cornell University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"score":0.51,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W53510660","https://openalex.org/W2902714807","https://openalex.org/W2784060934","https://openalex.org/W2537489131","https://openalex.org/W2394084632","https://openalex.org/W2382174632","https://openalex.org/W2358293514","https://openalex.org/W2129959498","https://openalex.org/W2081900870","https://openalex.org/W2046633342"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,32,42,65,81],"rotation-invariant":[4],"needlet":[5,20,61,75],"convolution":[6],"for":[7,127,142],"rotation":[8,57,120],"group":[9],"SO(3)":[10,28,74],"to":[11,35,84],"distill":[12],"multiscale":[13],"information":[14],"of":[15,44,88],"spherical":[16,19,33,49,89,150],"signals.":[17,90],"The":[18,48,78,91,122],"transform":[21],"is":[22,104],"generalized":[23],"from":[24],"$\\mathbb{S}^2$":[25],"onto":[26],"the":[27,52],"group,":[29],"which":[30,111,138],"decomposes":[31],"signal":[34,50,102,151],"approximate":[36,67,119],"and":[37,54,131,148],"detailed":[38],"spectral":[39],"coefficients":[40],"by":[41],"set":[43],"tight":[45],"framelet":[46],"operators.":[47],"during":[51],"decomposition":[53],"reconstruction":[55],"achieves":[56,124],"invariance.":[58,121],"Based":[59],"on":[60],"transforms,":[62],"we":[63],"form":[64],"Needlet":[66],"Equivariance":[68],"Spherical":[69],"CNN":[70],"(NES)":[71],"with":[72,97,106,146],"multiple":[73],"convolutional":[76],"layers.":[77],"network":[79,95],"establishes":[80],"powerful":[82],"tool":[83],"extract":[85],"geometric-invariant":[86],"features":[87],"model":[92],"allows":[93],"sufficient":[94],"scalability":[96],"multi-resolution":[98],"representation.":[99,152],"A":[100],"robust":[101],"embedding":[103],"learned":[105],"wavelet":[107],"shrinkage":[108],"activation":[109],"function,":[110],"filters":[112],"out":[113],"redundant":[114],"high-pass":[115],"representation":[116],"while":[117],"maintaining":[118],"NES":[123],"state-of-the-art":[125],"performance":[126],"quantum":[128],"chemistry":[129],"regression":[130],"Cosmic":[132],"Microwave":[133],"Background":[134],"(CMB)":[135],"delensing":[136],"reconstruction,":[137],"shows":[139],"great":[140],"potential":[141],"solving":[143],"scientific":[144],"challenges":[145],"high-resolution":[147],"multi-scale":[149]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4283324586","counts_by_year":[],"updated_date":"2024-12-09T20:25:21.952477","created_date":"2022-06-24"}