{"id":"https://openalex.org/W4384521896","doi":"https://doi.org/10.1007/978-3-031-37703-7_20","title":"QEBVerif: Quantization Error Bound Verification of\u00a0Neural Networks","display_name":"QEBVerif: Quantization Error Bound Verification of\u00a0Neural Networks","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4384521896","doi":"https://doi.org/10.1007/978-3-031-37703-7_20"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-37703-7_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_20","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_20.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_20.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046247329","display_name":"Yedi Zhang","orcid":"https://orcid.org/0000-0003-1005-2114"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yedi Zhang","raw_affiliation_strings":["ShanghaiTech University, Shanghai, 201210, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ShanghaiTech University, Shanghai, 201210, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027425633","display_name":"Fu Song","orcid":"https://orcid.org/0000-0002-0581-2679"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210131649","display_name":"China Automotive Engineering Research Institute","ror":"https://ror.org/039jhgf83","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210131649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fu Song","raw_affiliation_strings":["Automotive Software Innovation Center, Chongqing, 400000, China","Institute of Software, Chinese Academy of Sciences and University of Chinese Academy of Sciences, Beijing, 100190, China","ShanghaiTech University, Shanghai, 201210, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automotive Software Innovation Center, Chongqing, 400000, China","institution_ids":["https://openalex.org/I4210131649"]},{"raw_affiliation_string":"Institute of Software, Chinese Academy of Sciences and University of Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210128818"]},{"raw_affiliation_string":"ShanghaiTech University, Shanghai, 201210, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100429004","display_name":"Jun Sun","orcid":"https://orcid.org/0000-0002-3545-1392"},"institutions":[{"id":"https://openalex.org/I79891267","display_name":"Singapore Management University","ror":"https://ror.org/050qmg959","country_code":"SG","type":"education","lineage":["https://openalex.org/I79891267"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jun Sun","raw_affiliation_strings":["Singapore Management University, Singapore, 178902, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Singapore Management University, Singapore, 178902, Singapore","institution_ids":["https://openalex.org/I79891267"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046247329"],"corresponding_institution_ids":["https://openalex.org/I30809798"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":7.5814,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.97767407,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"413","last_page":"437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9998999834060669,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9998999834060669,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9987000226974487,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.8073114156723022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7511516809463501},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.6341586112976074},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6280871033668518},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5860576629638672},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5440352559089661},{"id":"https://openalex.org/keywords/deep-neural-networks","display_name":"Deep neural networks","score":0.4554777145385742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1977093517780304},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13352817296981812}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.8073114156723022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7511516809463501},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.6341586112976074},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6280871033668518},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5860576629638672},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5440352559089661},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.4554777145385742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1977093517780304},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13352817296981812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-37703-7_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_20","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_20.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-37703-7_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_20","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_20.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G3882347383","display_name":null,"funder_award_id":"Tier 3","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G450653452","display_name":null,"funder_award_id":"62072309","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4677120484","display_name":null,"funder_award_id":"YSBR-040","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5027370758","display_name":null,"funder_award_id":"MOET32020-0004","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G5676270524","display_name":null,"funder_award_id":"2020AAA0107800","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323346","display_name":"B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u00d0\u00e0o t\u1ea1o","ror":"https://ror.org/00drv3378"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384521896.pdf"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W1507872748","https://openalex.org/W2010450539","https://openalex.org/W2016053056","https://openalex.org/W2043100293","https://openalex.org/W2160815625","https://openalex.org/W2165073069","https://openalex.org/W2543296129","https://openalex.org/W2594877703","https://openalex.org/W2602856279","https://openalex.org/W2616028256","https://openalex.org/W2794609696","https://openalex.org/W2798302089","https://openalex.org/W2896500468","https://openalex.org/W2900153411","https://openalex.org/W2917325587","https://openalex.org/W2936674544","https://openalex.org/W2946149952","https://openalex.org/W2955171822","https://openalex.org/W2957311447","https://openalex.org/W2963054787","https://openalex.org/W2963122961","https://openalex.org/W2963327228","https://openalex.org/W2963480671","https://openalex.org/W2963673089","https://openalex.org/W2963857521","https://openalex.org/W2974147052","https://openalex.org/W2981639301","https://openalex.org/W2982540258","https://openalex.org/W2989358546","https://openalex.org/W2999193264","https://openalex.org/W3004061291","https://openalex.org/W3007157104","https://openalex.org/W3041782238","https://openalex.org/W3046662910","https://openalex.org/W3092751871","https://openalex.org/W3102139284","https://openalex.org/W3102458427","https://openalex.org/W3103148066","https://openalex.org/W3104896058","https://openalex.org/W3105155462","https://openalex.org/W3111743621","https://openalex.org/W3125577182","https://openalex.org/W3140205966","https://openalex.org/W3153453329","https://openalex.org/W3166180472","https://openalex.org/W3168587836","https://openalex.org/W3176862352","https://openalex.org/W3178864044","https://openalex.org/W3183549096","https://openalex.org/W3197827783","https://openalex.org/W4211137390","https://openalex.org/W4281951480","https://openalex.org/W4293243588","https://openalex.org/W4296270209","https://openalex.org/W4312458120","https://openalex.org/W4312770063","https://openalex.org/W4313563880","https://openalex.org/W4384521896","https://openalex.org/W6738979783"],"related_works":["https://openalex.org/W2136512912","https://openalex.org/W2127267268","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W2889071233","https://openalex.org/W4321471459","https://openalex.org/W4221156924","https://openalex.org/W4205547277"],"abstract_inverted_index":{"Abstract":[0],"To":[1],"alleviate":[2],"the":[3,25,36,141,161,167],"practical":[4],"constraints":[5],"for":[6,28,93],"deploying":[7],"deep":[8],"neural":[9,52,84],"networks":[10,53,85],"(DNNs)":[11],"on":[12,81],"edge":[13],"devices,":[14],"quantization":[15,90,102,152],"is":[16,183],"widely":[17],"regarded":[18],"as":[19],"one":[20],"promising":[21],"technique.":[22],"It":[23],"reduces":[24],"resource":[26],"requirements":[27],"computational":[29],"power":[30],"and":[31,112,127,143,186,191,198],"storage":[32],"space":[33],"by":[34,179],"quantizing":[35],"weights":[37,111],"and/or":[38],"activation":[39,113],"tensors":[40,114],"of":[41,69,118],"a":[42,70,101,122,128,150],"DNN":[43,71,142],"into":[44,170],"lower":[45],"bit-width":[46],"fixed-point":[47],"numbers,":[48],"resulting":[49],"in":[50],"quantized":[51,145],"(QNNs).":[54],"While":[55],"it":[56],"has":[57],"been":[58],"empirically":[59],"shown":[60],"to":[61,148,159],"introduce":[62],"minor":[63],"accuracy":[64],"loss,":[65],"critical":[66],"verified":[67],"properties":[68],"might":[72],"become":[73],"invalid":[74],"once":[75],"quantized.":[76,116],"Existing":[77],"verification":[78,105,134,168],"methods":[79],"focus":[80],"either":[82],"individual":[83],"(DNNs":[86],"or":[87,89],"QNNs)":[88],"error":[91,103,153,162],"bound":[92,104],"partial":[94],"quantization.":[95],"In":[96],"this":[97],"work,":[98],"we":[99,165],"propose":[100],"method,":[106],"named":[107],",":[108],"where":[109],"both":[110],"are":[115],"consists":[117],"two":[119],"parts,":[120],"i.e.,":[121],"differential":[123],"reachability":[124],"analysis":[125,139],"(DRA)":[126],"mixed-integer":[129],"linear":[130],"programming":[131],"(MILP)":[132],"based":[133],"method.":[135],"DRA":[136,157],"performs":[137],"difference":[138],"between":[140],"its":[144,196],"counterpart":[146],"layer-by-layer":[147],"compute":[149],"tight":[151],"interval":[154],"efficiently.":[155],"If":[156],"fails":[158],"prove":[160],"bound,":[163],"then":[164],"encode":[166],"problem":[169,174],"an":[171],"equivalent":[172],"MILP":[173],"which":[175],"can":[176],"be":[177],"solved":[178],"off-the-shelf":[180],"solvers.":[181],"Thus,":[182],"sound,":[184],"complete,":[185],"reasonably":[187],"efficient.":[188],"We":[189],"implement":[190],"conduct":[192],"extensive":[193],"experiments,":[194],"showing":[195],"effectiveness":[197],"efficiency.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}