Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4300448317', 'doi': 'https://doi.org/10.48550/arxiv.1004.0033', 'title': 'Mixed Operators in Compressed Sensing', 'display_name': 'Mixed Operators in Compressed Sensing', 'publication_year': 2010, 'publication_date': '2010-01-01', 'ids': {'openalex': 'https://openalex.org/W4300448317', 'doi': 'https://doi.org/10.48550/arxiv.1004.0033'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1004.0033', 'pdf_url': None, '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': '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/1004.0033', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5101420200', 'display_name': 'M.A. Herman', 'orcid': 'https://orcid.org/0009-0008-9850-4077'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Herman, Matthew A.', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5024153474', 'display_name': 'Deanna Needell', 'orcid': 'https://orcid.org/0000-0002-8058-8638'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Needell, Deanna', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, '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': 64}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10500', 'display_name': 'Sparse and Compressive Sensing Techniques', 'score': 0.9996, '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': 0.9996, '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/T10378', 'display_name': 'Advanced MRI Techniques and Applications', 'score': 0.997, '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'}}, {'id': 'https://openalex.org/T11739', 'display_name': 'Microwave Imaging and Scattering Analysis', 'score': 0.9912, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/basis-pursuit', 'display_name': 'Basis pursuit', 'score': 0.8218833}, {'id': 'https://openalex.org/keywords/multiplicative-noise', 'display_name': 'Multiplicative noise', 'score': 0.74001825}, {'id': 'https://openalex.org/keywords/signal-reconstruction', 'display_name': 'Signal reconstruction', 'score': 0.5187447}, {'id': 'https://openalex.org/keywords/signal-recovery', 'display_name': 'Signal Recovery', 'score': 0.4974282}, {'id': 'https://openalex.org/keywords/signal', 'display_name': 'SIGNAL (programming language)', 'score': 0.49363673}, {'id': 'https://openalex.org/keywords/minification', 'display_name': 'Minification', 'score': 0.4900171}, {'id': 'https://openalex.org/keywords/encode', 'display_name': 'ENCODE', 'score': 0.4469421}, {'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.44058114}], 'concepts': [{'id': 'https://openalex.org/C124851039', 'wikidata': 'https://www.wikidata.org/wiki/Q2665459', 'display_name': 'Compressed sensing', 'level': 2, 'score': 0.9082271}, {'id': 'https://openalex.org/C99217422', 'wikidata': 'https://www.wikidata.org/wiki/Q4867576', 'display_name': 'Basis pursuit', 'level': 4, 'score': 0.8218833}, {'id': 'https://openalex.org/C156872377', 'wikidata': 'https://www.wikidata.org/wiki/Q6786281', 'display_name': 'Matching pursuit', 'level': 3, 'score': 0.78859174}, {'id': 'https://openalex.org/C18015164', 'wikidata': 'https://www.wikidata.org/wiki/Q6935000', 'display_name': 'Multiplicative noise', 'level': 5, 'score': 0.74001825}, {'id': 'https://openalex.org/C99498987', 'wikidata': 'https://www.wikidata.org/wiki/Q2210247', 'display_name': 'Noise (video)', 'level': 3, 'score': 0.6077268}, {'id': 'https://openalex.org/C42747912', 'wikidata': 'https://www.wikidata.org/wiki/Q1048447', 'display_name': 'Multiplicative function', 'level': 2, 'score': 0.57801044}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.5631037}, {'id': 'https://openalex.org/C70958404', 'wikidata': 'https://www.wikidata.org/wiki/Q7512728', 'display_name': 'Signal reconstruction', 'level': 4, 'score': 0.5187447}, {'id': 'https://openalex.org/C51823790', 'wikidata': 'https://www.wikidata.org/wiki/Q504353', 'display_name': 'Greedy algorithm', 'level': 2, 'score': 0.50727576}, {'id': 'https://openalex.org/C112972136', 'wikidata': 'https://www.wikidata.org/wiki/Q7595718', 'display_name': 'Stability (learning theory)', 'level': 2, 'score': 0.50460947}, {'id': 'https://openalex.org/C2989281035', 'wikidata': 'https://www.wikidata.org/wiki/Q120811', 'display_name': 'Signal recovery', 'level': 3, 'score': 0.4974282}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.49524108}, {'id': 'https://openalex.org/C2779843651', 'wikidata': 'https://www.wikidata.org/wiki/Q7390335', 'display_name': 'SIGNAL (programming language)', 'level': 2, 'score': 0.49363673}, {'id': 'https://openalex.org/C147764199', 'wikidata': 'https://www.wikidata.org/wiki/Q6865248', 'display_name': 'Minification', 'level': 2, 'score': 0.4900171}, {'id': 'https://openalex.org/C66746571', 'wikidata': 'https://www.wikidata.org/wiki/Q1134833', 'display_name': 'ENCODE', 'level': 3, 'score': 0.4469421}, {'id': 'https://openalex.org/C163294075', 'wikidata': 'https://www.wikidata.org/wiki/Q581861', 'display_name': 'Noise reduction', 'level': 2, 'score': 0.44310266}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.44058114}, {'id': 'https://openalex.org/C177918212', 'wikidata': 'https://www.wikidata.org/wiki/Q803623', 'display_name': 'Perturbation (astronomy)', 'level': 2, 'score': 0.4317971}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.40012658}, {'id': 'https://openalex.org/C104267543', 'wikidata': 'https://www.wikidata.org/wiki/Q208163', 'display_name': 'Signal processing', 'level': 3, 'score': 0.3481167}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.29758775}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.17722619}, {'id': 'https://openalex.org/C76155785', 'wikidata': 'https://www.wikidata.org/wiki/Q418', 'display_name': 'Telecommunications', 'level': 1, 'score': 0.12141535}, {'id': 'https://openalex.org/C13412647', 'wikidata': 'https://www.wikidata.org/wiki/Q174948', 'display_name': 'Analog signal', 'level': 3, 'score': 0.11184049}, {'id': 'https://openalex.org/C131021393', 'wikidata': 'https://www.wikidata.org/wiki/Q7512759', 'display_name': 'Signal transfer function', 'level': 4, 'score': 0.1014252}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.07493663}, {'id': 'https://openalex.org/C119857082', 'wikidata': 'https://www.wikidata.org/wiki/Q2539', 'display_name': 'Machine learning', 'level': 1, 'score': 0.0644179}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.06368154}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, '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/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, '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/C761482', 'wikidata': 'https://www.wikidata.org/wiki/Q118093', 'display_name': 'Transmission (telecommunications)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C554190296', 'wikidata': 'https://www.wikidata.org/wiki/Q47528', 'display_name': 'Radar', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C115961682', 'wikidata': 'https://www.wikidata.org/wiki/Q860623', 'display_name': 'Image (mathematics)', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1004.0033', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1004.0033', 'pdf_url': 'http://arxiv.org/pdf/1004.0033', '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': 'https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1350&context=cmc_fac_pub', 'pdf_url': 'https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1350&context=cmc_fac_pub', 'source': {'id': 'https://openalex.org/S4377196412', 'display_name': 'Scholarship - Claremont (Claremont Colleges)', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I872248612', 'host_organization_name': 'Claremont Colleges', 'host_organization_lineage': ['https://openalex.org/I872248612'], 'host_organization_lineage_names': ['Claremont Colleges'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1004.0033', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, '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': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1004.0033', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W3213910434', 'https://openalex.org/W2523302315', 'https://openalex.org/W2465351041', 'https://openalex.org/W2436826437', 'https://openalex.org/W2388133936', 'https://openalex.org/W2103001330', 'https://openalex.org/W2086419783', 'https://openalex.org/W2067878805', 'https://openalex.org/W1983115982', 'https://openalex.org/W166234021'], 'abstract_inverted_index': {'Applications': [0], 'of': [1, 7, 17, 44, 56, 88, 110, 120, 138], 'compressed': [2], 'sensing': [3], 'motivate': [4], 'the': [5, 24, 33, 36, 51, 54, 76, 98, 136, 139, 150, 154], 'possibility': [6], 'using': [8, 115, 124], 'different': [9], 'operators': [10, 25], 'to': [11, 49, 69, 160], 'encode': [12], 'and': [13, 46, 94, 107, 113, 119, 122, 145], 'decode': [14], 'a': [15, 40, 81], 'signal': [16, 52, 103, 141], 'interest.': [18], 'Since': [19], 'it': [20], 'is': [21, 59, 147], 'clear': [22], 'that': [23, 135], 'cannot': [26], 'be': [27], 'too': [28], 'different,': [29], 'we': [30], 'can': [31], 'view': [32], 'discrepancy': [34], 'between': [35], 'two': [37], 'matrices': [38], 'as': [39], 'perturbation.': [41], 'The': [42], 'stability': [43, 137], 'L1-minimization': [45], 'greedy': [47, 162], 'algorithms': [48], 'recover': [50], 'in': [53, 75, 153], 'presence': [55], 'additive': [57, 93], 'noise': [58, 74, 83, 151], 'by': [60, 142, 149], 'now': [61], 'well-known.': [62], 'Recently': [63], 'however,': [64], 'work': [65, 100], 'has': [66], 'been': [67], 'done': [68], 'analyze': [70], 'these': [71], 'methods': [72], 'with': [73], 'measurement': [77], 'matrix,': [78], 'which': [79], 'generates': [80], 'multiplicative': [82, 95], 'term.': [84], 'This': [85], 'new': [86], 'framework': [87], 'generalized': [89], 'perturbations': [90], '(i.e.,': [91], 'both': [92, 143], 'noise)': [96], 'extends': [97, 158], 'prior': [99], 'on': [101], 'stable': [102], 'recovery': [104], 'from': [105], 'incomplete': [106], 'inaccurate': [108], 'measurements': [109], 'Candes,': [111], 'Romberg': [112], 'Tao': [114], 'Basis': [116], 'Pursuit': [117, 128], '(BP),': [118], 'Needell': [121], 'Tropp': [123], 'Compressive': [125], 'Sampling': [126], 'Matching': [127], '(CoSaMP).': [129], 'We': [130], 'show,': [131], 'under': [132], 'reasonable': [133], 'assumptions,': [134], 'reconstructed': [140], 'BP': [144], 'CoSaMP': [146], 'limited': [148], 'level': [152], 'observation.': [155], 'Our': [156], 'analysis': [157], 'easily': [159], 'arbitrary': [161], 'methods.': [163]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4300448317', 'counts_by_year': [], 'updated_date': '2024-12-07T18:10:53.363958', 'created_date': '2022-10-03'}