{"id":"https://openalex.org/W7160987047","doi":"https://doi.org/10.48550/arxiv.2605.11222","title":"ADMM-Q: An Improved Hessian-based Weight Quantizer for Post-Training Quantization of Large Language Models","display_name":"ADMM-Q: An Improved Hessian-based Weight Quantizer for Post-Training Quantization of Large Language Models","publication_year":2026,"publication_date":"2026-05-11","ids":{"openalex":"https://openalex.org/W7160987047","doi":"https://doi.org/10.48550/arxiv.2605.11222"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.11222","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.11222","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.2605.11222","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136016879","display_name":"Ryan Lucas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lucas, Ryan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116142717","display_name":"Mehdi Makni","orcid":"https://orcid.org/0009-0009-7573-8775"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Makni, Mehdi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101257475","display_name":"Xiang Meng","orcid":"https://orcid.org/0009-0004-7349-1725"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meng, Xiang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136028853","display_name":"Adam Deng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Deng, Adam","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136081777","display_name":"Rahul Mazumder","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mazumder, Rahul","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.23960000276565552,"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"}},"topics":[{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.23960000276565552,"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/T10201","display_name":"Speech Recognition and Synthesis","score":0.2079000025987625,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.1088000014424324,"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/quantization","display_name":"Quantization (signal processing)","score":0.8296999931335449},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6186000108718872},{"id":"https://openalex.org/keywords/perplexity","display_name":"Perplexity","score":0.5618000030517578},{"id":"https://openalex.org/keywords/language-model","display_name":"Language model","score":0.5444999933242798},{"id":"https://openalex.org/keywords/linde\u2013buzo\u2013gray-algorithm","display_name":"Linde\u2013Buzo\u2013Gray algorithm","score":0.4948999881744385},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4805999994277954}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.8296999931335449},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6186000108718872},{"id":"https://openalex.org/C100279451","wikidata":"https://www.wikidata.org/wiki/Q372193","display_name":"Perplexity","level":3,"score":0.5618000030517578},{"id":"https://openalex.org/C137293760","wikidata":"https://www.wikidata.org/wiki/Q3621696","display_name":"Language model","level":2,"score":0.5444999933242798},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5368000268936157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5267999768257141},{"id":"https://openalex.org/C93372532","wikidata":"https://www.wikidata.org/wiki/Q6552455","display_name":"Linde\u2013Buzo\u2013Gray algorithm","level":3,"score":0.4948999881744385},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4805999994277954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.388700008392334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36649999022483826},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.3564999997615814},{"id":"https://openalex.org/C5317259","wikidata":"https://www.wikidata.org/wiki/Q4462361","display_name":"Trellis quantization","level":5,"score":0.34119999408721924},{"id":"https://openalex.org/C2780288589","wikidata":"https://www.wikidata.org/wiki/Q7617833","display_name":"Stochastic quantization","level":4,"score":0.31839999556541443},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27219998836517334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2556000053882599}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.11222","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.11222","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.2605.11222","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.11222","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":[{"id":"https://metadata.un.org/sdg/4","score":0.5110300183296204,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Quantization":[0],"is":[1,20,61,119,138],"an":[2],"effective":[3],"strategy":[4],"to":[5,81,111],"reduce":[6],"the":[7,55,68,83,90,168,176,185],"storage":[8],"and":[9,33,105,121,151,183],"computation":[10],"footprint":[11],"of":[12,67,72,158],"large":[13],"language":[14],"models":[15],"(LLMs).":[16],"Post-training":[17],"quantization":[18,29,42,51,57,91,135],"(PTQ)":[19],"a":[21,48,64,106,126],"leading":[22],"approach":[23],"for":[24,129],"compressing":[25],"LLMs.":[26],"Popular":[27],"weight":[28,50,131],"procedures,":[30],"including":[31,144],"GPTQ":[32,159],"RTN,":[34],"suffer":[35],"in":[36,156],"model":[37],"utility,":[38],"especially":[39],"at":[40,115],"aggressive":[41],"levels":[43],"(sub-4-bit).":[44],"We":[45,96],"propose":[46,97],"ADMM-Q,":[47],"novel":[49],"algorithm":[52,60],"that":[53],"considers":[54],"layer-wise":[56,84],"problem.":[58],"Our":[59,75],"based":[62],"on":[63,160],"combinatorial":[65],"variant":[66],"Alternating":[69],"Direction":[70],"Method":[71],"Multipliers":[73],"(ADMM).":[74],"operator-splitting":[76],"procedure":[77,179,188],"updates":[78],"weights":[79],"continuously":[80],"minimize":[82],"reconstruction":[85],"error,":[86],"while":[87],"gradually":[88],"enforcing":[89],"constraints":[92],"with":[93,141],"convergence":[94],"guarantees.":[95],"additional":[98],"algorithmic":[99],"enhancements":[100],"(e.g.,":[101],"penalty":[102],"scheduling,":[103],"preconditioning,":[104],"local":[107],"search":[108],"post-processing":[109],"step)":[110],"make":[112],"ADMM-Q":[113,118,137,155],"efficient":[114],"LLM":[116],"scale.":[117],"modular":[120],"can":[122],"be":[123],"used":[124],"as":[125],"drop-in":[127],"replacement":[128],"any":[130],"quantizer":[132],"within":[133],"existing":[134,142],"pipelines:":[136],"fully":[139],"composable":[140],"techniques":[143],"range":[145],"clipping,":[146],"learned":[147],"or":[148],"random":[149],"rotations,":[150],"activation":[152],"scaling.":[153],"Using":[154],"place":[157],"Qwen3-8B,":[161],"we":[162],"decrease":[163],"WikiText-2":[164],"perplexity":[165],"in:":[166],"(i)":[167],"W3A16":[169],"weight-only":[170],"setting":[171],"(12.85":[172],"$\\rightarrow$":[173,181,190],"10.06);":[174],"(ii)":[175],"W4A8":[177],"SmoothQuant":[178],"(9.29":[180],"8.68);":[182],"(iii)":[184],"W2A4KV4":[186],"SpinQuant":[187],"(66.11":[189],"19.42).":[191]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-05-14T00:00:00"}