Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2158923808', 'doi': 'https://doi.org/10.1109/tit.2010.2054251', 'title': 'ADMiRA: Atomic Decomposition for Minimum Rank Approximation', 'display_name': 'ADMiRA: Atomic Decomposition for Minimum Rank Approximation', 'publication_year': 2010, 'publication_date': '2010-08-19', 'ids': {'openalex': 'https://openalex.org/W2158923808', 'doi': 'https://doi.org/10.1109/tit.2010.2054251', 'mag': '2158923808'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/tit.2010.2054251', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4502562', 'display_name': 'IEEE Transactions on Information Theory', 'issn_l': '0018-9448', 'issn': ['0018-9448', '1557-9654'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319808', 'host_organization_name': 'Institute of Electrical and Electronics Engineers', 'host_organization_lineage': ['https://openalex.org/P4310319808'], 'host_organization_lineage_names': ['Institute of Electrical and Electronics Engineers'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/0905.0044', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5033729252', 'display_name': 'Kiryung Lee', 'orcid': 'https://orcid.org/0000-0003-1909-6041'}, 'institutions': [{'id': 'https://openalex.org/I157725225', 'display_name': 'University of Illinois Urbana-Champaign', 'ror': 'https://ror.org/047426m28', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I157725225']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Kiryung Lee', 'raw_affiliation_strings': ['Coordinated Science Laboratory and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA'], 'affiliations': [{'raw_affiliation_string': 'Coordinated Science Laboratory and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA', 'institution_ids': ['https://openalex.org/I157725225']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5026523226', 'display_name': 'Yoram Bresler', 'orcid': 'https://orcid.org/0000-0002-9738-1094'}, 'institutions': [{'id': 'https://openalex.org/I157725225', 'display_name': 'University of Illinois Urbana-Champaign', 'ror': 'https://ror.org/047426m28', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I157725225']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Yoram Bresler', 'raw_affiliation_strings': ['Coordinated Science Laboratory and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA'], 'affiliations': [{'raw_affiliation_string': 'Coordinated Science Laboratory and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA', 'institution_ids': ['https://openalex.org/I157725225']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 23.954, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 276, 'citation_normalized_percentile': {'value': 0.999928, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '56', 'issue': '9', 'first_page': '4402', 'last_page': '4416'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10500', 'display_name': 'Sparse and Compressive Sensing Techniques', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10500', 'display_name': 'Sparse and Compressive Sensing Techniques', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11739', 'display_name': 'Microwave Imaging and Scattering Analysis', 'score': 0.9954, 'subfield': {'id': 'https://openalex.org/subfields/2204', 'display_name': 'Biomedical Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10378', 'display_name': 'Advanced MRI Techniques and Applications', 'score': 0.9939, 'subfield': {'id': 'https://openalex.org/subfields/2741', 'display_name': 'Radiology, Nuclear Medicine and Imaging'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/low-rank-approximation', 'display_name': 'Low-rank approximation', 'score': 0.70624584}, {'id': 'https://openalex.org/keywords/restricted-isometry-property', 'display_name': 'Restricted isometry property', 'score': 0.647366}, {'id': 'https://openalex.org/keywords/rank', 'display_name': 'Rank (graph theory)', 'score': 0.62349796}, {'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.6144037}, {'id': 'https://openalex.org/keywords/matrix-completion', 'display_name': 'Matrix Completion', 'score': 0.4379991}], 'concepts': [{'id': 'https://openalex.org/C90199385', 'wikidata': 'https://www.wikidata.org/wiki/Q6692777', 'display_name': 'Low-rank approximation', 'level': 3, 'score': 0.70624584}, {'id': 'https://openalex.org/C17902559', 'wikidata': 'https://www.wikidata.org/wiki/Q17099734', 'display_name': 'Restricted isometry property', 'level': 3, 'score': 0.647366}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6379291}, {'id': 'https://openalex.org/C164226766', 'wikidata': 'https://www.wikidata.org/wiki/Q7293202', 'display_name': 'Rank (graph theory)', 'level': 2, 'score': 0.62349796}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.6144037}, {'id': 'https://openalex.org/C56372850', 'wikidata': 'https://www.wikidata.org/wiki/Q1050404', 'display_name': 'Sparse matrix', 'level': 3, 'score': 0.50340813}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.479696}, {'id': 'https://openalex.org/C51823790', 'wikidata': 'https://www.wikidata.org/wiki/Q504353', 'display_name': 'Greedy algorithm', 'level': 2, 'score': 0.45834845}, {'id': 'https://openalex.org/C156872377', 'wikidata': 'https://www.wikidata.org/wiki/Q6786281', 'display_name': 'Matching pursuit', 'level': 3, 'score': 0.44639337}, {'id': 'https://openalex.org/C2778459887', 'wikidata': 'https://www.wikidata.org/wiki/Q6787865', 'display_name': 'Matrix completion', 'level': 3, 'score': 0.4379991}, {'id': 'https://openalex.org/C42355184', 'wikidata': 'https://www.wikidata.org/wiki/Q1361088', 'display_name': 'Matrix decomposition', 'level': 3, 'score': 0.43419605}, {'id': 'https://openalex.org/C124851039', 'wikidata': 'https://www.wikidata.org/wiki/Q2665459', 'display_name': 'Compressed sensing', 'level': 2, 'score': 0.38379017}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.35223246}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.33579886}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.18423733}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.11381155}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C25023664', 'wikidata': 'https://www.wikidata.org/wiki/Q1575637', 'display_name': 'Hankel matrix', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C163716315', 'wikidata': 'https://www.wikidata.org/wiki/Q901177', 'display_name': 'Gaussian', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/tit.2010.2054251', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4502562', 'display_name': 'IEEE Transactions on Information Theory', 'issn_l': '0018-9448', 'issn': ['0018-9448', '1557-9654'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319808', 'host_organization_name': 'Institute of Electrical and Electronics Engineers', 'host_organization_lineage': ['https://openalex.org/P4310319808'], 'host_organization_lineage_names': ['Institute of Electrical and Electronics Engineers'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/0905.0044', 'pdf_url': 'http://arxiv.org/pdf/0905.0044', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': None, 'pdf_url': 'http://arxiv.org/pdf/0905.0044v1.pdf', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': None, 'pdf_url': 'http://arxiv.org/pdf/0905.0044v2.pdf', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/0905.0044', 'pdf_url': 'http://arxiv.org/pdf/0905.0044', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 35, 'referenced_works': ['https://openalex.org/W1507039213', 'https://openalex.org/W1527917680', 'https://openalex.org/W1529624360', 'https://openalex.org/W1966096622', 'https://openalex.org/W1970948570', 'https://openalex.org/W1999795676', 'https://openalex.org/W2000157792', 'https://openalex.org/W2011359124', 'https://openalex.org/W2015418199', 'https://openalex.org/W2054443446', 'https://openalex.org/W2056042427', 'https://openalex.org/W2059283452', 'https://openalex.org/W2064980127', 'https://openalex.org/W2078815901', 'https://openalex.org/W2096154138', 'https://openalex.org/W2115221929', 'https://openalex.org/W2117377454', 'https://openalex.org/W2117406892', 'https://openalex.org/W2118550318', 'https://openalex.org/W2128659236', 'https://openalex.org/W2151693816', 'https://openalex.org/W2152356156', 'https://openalex.org/W2158923808', 'https://openalex.org/W2160979406', 'https://openalex.org/W2289917018', 'https://openalex.org/W2611328865', 'https://openalex.org/W2798909945', 'https://openalex.org/W2949834189', 'https://openalex.org/W2950176463', 'https://openalex.org/W2951328719', 'https://openalex.org/W3125735862', 'https://openalex.org/W3145128584', 'https://openalex.org/W4213311204', 'https://openalex.org/W4246219036', 'https://openalex.org/W4293876927'], 'related_works': ['https://openalex.org/W4294691692', 'https://openalex.org/W4200104579', 'https://openalex.org/W3150922045', 'https://openalex.org/W3150789642', 'https://openalex.org/W3103065663', 'https://openalex.org/W2963233227', 'https://openalex.org/W2252480727', 'https://openalex.org/W2080115547', 'https://openalex.org/W1988451630', 'https://openalex.org/W1973029877'], 'abstract_inverted_index': {'In': [0, 77], 'this': [1, 190], 'paper,': [2], 'we': [3, 79], 'address': [4], 'compressed': [5], 'sensing': [6], 'of': [7, 24, 57, 121, 132, 145, 172], 'a': [8, 20, 41, 58, 62, 153, 194], 'low-rank': [9, 63, 111, 150], 'matrix': [10, 64, 75, 112, 160, 178, 198], 'posing': [11], 'the': [12, 25, 31, 36, 71, 74, 106, 110, 122, 130, 135, 138, 142, 159, 163, 170, 177, 184], 'inverse': [13], 'problem': [14, 18, 180], 'as': [15, 157], 'an': [16, 48, 52, 81], 'approximation': [17, 44, 92], 'with': [19], 'specified': [21], 'target': [22, 32], 'rank': [23, 33, 38, 91], 'solution.': [26, 151], 'A': [27], 'simple': [28], 'search': [29], 'over': [30], 'then': [34], 'provides': [35], 'minimum': [37, 90], 'solution': [39, 140], 'satisfying': [40], 'prescribed': [42], 'data': [43], 'bound.': [45], 'We': [46], 'propose': [47, 80], 'atomic': [49, 87], 'decomposition': [50, 88], 'providing': [51], 'analogy': [53], 'between': [54], 'parsimonious': [55], 'representations': [56], 'sparse': [59, 107, 154], 'vector': [60, 72, 108], 'and': [61, 65, 83, 97, 127, 134, 148], 'extending': [66], 'efficient': [67, 82], 'greedy': [68], 'algorithms': [69], 'from': [70, 105], 'to': [73, 109], 'case.': [76, 113], 'particular,': [78], 'guaranteed': [84], 'algorithm': [85, 104, 196], 'named': [86], 'for': [89, 141, 176, 197], '(ADMiRA)': [93], 'that': [94], 'extends': [95], 'Needell': [96], "Tropp's": [98], 'compressive': [99], 'sampling': [100], 'matching': [101], 'pursuit': [102], '(CoSaMP)': [103], 'The': [114], 'performance': [115], 'guarantee': [116], 'is': [117, 167, 186, 193], 'given': [118], 'in': [119, 137, 158, 165, 169, 189], 'terms': [120], 'rank-restricted': [123], 'isometry': [124], 'property': [125], '(R-RIP)': [126], 'bounds': [128], 'both': [129], 'number': [131, 171], 'iterations': [133], 'error': [136], 'approximate': [139], 'general': [143], 'case': [144], 'noisy': [146], 'measurements': [147], 'approximately': [149], 'With': [152], 'measurement': [155], 'operator': [156], 'completion': [161, 179], 'problem,': [162], 'computation': [164], 'ADMiRA': [166, 192], 'linear': [168], 'measurements.': [173], 'Numerical': [174], 'experiments': [175], 'show': [181], 'that,': [182], 'although': [183], 'R-RIP': [185], 'not': [187], 'satisfied': [188], 'case,': [191], 'competitive': [195], 'completion.': [199]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2158923808', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 7}, {'year': 2022, 'cited_by_count': 9}, {'year': 2021, 'cited_by_count': 17}, {'year': 2020, 'cited_by_count': 18}, {'year': 2019, 'cited_by_count': 15}, {'year': 2018, 'cited_by_count': 26}, {'year': 2017, 'cited_by_count': 16}, {'year': 2016, 'cited_by_count': 19}, {'year': 2015, 'cited_by_count': 21}, {'year': 2014, 'cited_by_count': 42}, {'year': 2013, 'cited_by_count': 27}, {'year': 2012, 'cited_by_count': 19}], 'updated_date': '2025-01-09T12:20:28.210097', 'created_date': '2016-06-24'}