Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2963233227', 'doi': 'https://doi.org/10.1109/isit.2016.7541722', 'title': 'A sharp condition for exact support recovery of sparse signals with orthogonal matching pursuit', 'display_name': 'A sharp condition for exact support recovery of sparse signals with orthogonal matching pursuit', 'publication_year': 2016, 'publication_date': '2016-07-01', 'ids': {'openalex': 'https://openalex.org/W2963233227', 'doi': 'https://doi.org/10.1109/isit.2016.7541722', 'mag': '2963233227'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/isit.2016.7541722', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4363604560', 'display_name': '2022 IEEE International Symposium on Information Theory (ISIT)', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'conference'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'proceedings-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/1807.04643', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5080664346', 'display_name': 'Jinming Wen', 'orcid': 'https://orcid.org/0000-0002-8181-0958'}, 'institutions': [{'id': 'https://openalex.org/I180726961', 'display_name': 'Shenzhen University', 'ror': 'https://ror.org/01vy4gh70', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I180726961']}, {'id': 'https://openalex.org/I113428412', 'display_name': 'École Normale Supérieure de Lyon', 'ror': 'https://ror.org/04zmssz18', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I113428412', 'https://openalex.org/I203339264']}], 'countries': ['CN', 'FR'], 'is_corresponding': False, 'raw_author_name': 'Jinming Wen', 'raw_affiliation_strings': ['College of Information Engineering, Shenzhen University, Shenzhen, China', 'ENS de Lyon, LIP, Lyon, France'], 'affiliations': [{'raw_affiliation_string': 'College of Information Engineering, Shenzhen University, Shenzhen, China', 'institution_ids': ['https://openalex.org/I180726961']}, {'raw_affiliation_string': 'ENS de Lyon, LIP, Lyon, France', 'institution_ids': ['https://openalex.org/I113428412']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5004913173', 'display_name': 'Zhengchun Zhou', 'orcid': 'https://orcid.org/0000-0002-0228-7119'}, 'institutions': [{'id': 'https://openalex.org/I4800084', 'display_name': 'Southwest Jiaotong University', 'ror': 'https://ror.org/00hn7w693', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I4800084']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Zhengchun Zhou', 'raw_affiliation_strings': ['School of Mathematics, Southwest Jiaotong University, Chengdu, China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics, Southwest Jiaotong University, Chengdu, China', 'institution_ids': ['https://openalex.org/I4800084']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5100370463', 'display_name': 'Jian Wang', 'orcid': 'https://orcid.org/0000-0002-5421-5678'}, 'institutions': [{'id': 'https://openalex.org/I139264467', 'display_name': 'Seoul National University', 'ror': 'https://ror.org/04h9pn542', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I139264467']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Jian Wang', 'raw_affiliation_strings': ['Dept. of Electrical & Computer Engineering, Seoul National University, Seoul, Korea'], 'affiliations': [{'raw_affiliation_string': 'Dept. of Electrical & Computer Engineering, Seoul National University, Seoul, Korea', 'institution_ids': ['https://openalex.org/I139264467']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5029840191', 'display_name': 'Xiaohu Tang', 'orcid': 'https://orcid.org/0000-0002-7938-7812'}, 'institutions': [{'id': 'https://openalex.org/I4800084', 'display_name': 'Southwest Jiaotong University', 'ror': 'https://ror.org/00hn7w693', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I4800084']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Xiaohu Tang', 'raw_affiliation_strings': ['Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, China'], 'affiliations': [{'raw_affiliation_string': 'Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, China', 'institution_ids': ['https://openalex.org/I4800084']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5028122004', 'display_name': 'Qun Mo', 'orcid': 'https://orcid.org/0000-0001-8792-1184'}, 'institutions': [{'id': 'https://openalex.org/I76130692', 'display_name': 'Zhejiang University', 'ror': 'https://ror.org/00a2xv884', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I76130692']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Qun Mo', 'raw_affiliation_strings': ['Department of Mathematics, Zhejiang University, Hangzhou, China'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Zhejiang University, Hangzhou, China', 'institution_ids': ['https://openalex.org/I76130692']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 5, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 10.122, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 39, 'citation_normalized_percentile': {'value': 0.939217, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 95, 'max': 96}, 'biblio': {'volume': None, 'issue': None, 'first_page': '2364', 'last_page': '2368'}, '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': 0.9993, '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/T11996', 'display_name': 'Random lasers and scattering media', 'score': 0.9978, 'subfield': {'id': 'https://openalex.org/subfields/3102', 'display_name': 'Acoustics and Ultrasonics'}, '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/restricted-isometry-property', 'display_name': 'Restricted isometry property', 'score': 0.80923206}, {'id': 'https://openalex.org/keywords/isometry', 'display_name': 'Isometry (Riemannian geometry)', 'score': 0.6836181}, {'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.5092646}, {'id': 'https://openalex.org/keywords/signal', 'display_name': 'SIGNAL (programming language)', 'score': 0.4117187}], 'concepts': [{'id': 'https://openalex.org/C156872377', 'wikidata': 'https://www.wikidata.org/wiki/Q6786281', 'display_name': 'Matching pursuit', 'level': 3, 'score': 0.89860034}, {'id': 'https://openalex.org/C17902559', 'wikidata': 'https://www.wikidata.org/wiki/Q17099734', 'display_name': 'Restricted isometry property', 'level': 3, 'score': 0.80923206}, {'id': 'https://openalex.org/C82457910', 'wikidata': 'https://www.wikidata.org/wiki/Q740207', 'display_name': 'Isometry (Riemannian geometry)', 'level': 2, 'score': 0.6836181}, {'id': 'https://openalex.org/C165064840', 'wikidata': 'https://www.wikidata.org/wiki/Q1321061', 'display_name': 'Matching (statistics)', 'level': 2, 'score': 0.5744099}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.57305694}, {'id': 'https://openalex.org/C2776036281', 'wikidata': 'https://www.wikidata.org/wiki/Q48769818', 'display_name': 'Constraint (computer-aided design)', 'level': 2, 'score': 0.57280654}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.5092646}, {'id': 'https://openalex.org/C99498987', 'wikidata': 'https://www.wikidata.org/wiki/Q2210247', 'display_name': 'Noise (video)', 'level': 3, 'score': 0.46018538}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.4347214}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.4328967}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.41736215}, {'id': 'https://openalex.org/C2779843651', 'wikidata': 'https://www.wikidata.org/wiki/Q7390335', 'display_name': 'SIGNAL (programming language)', 'level': 2, 'score': 0.4117187}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.36905056}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.34447896}, {'id': 'https://openalex.org/C124851039', 'wikidata': 'https://www.wikidata.org/wiki/Q2665459', 'display_name': 'Compressed sensing', 'level': 2, 'score': 0.30036268}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.24646142}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.16746423}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.07797691}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.062010944}, {'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/C115961682', 'wikidata': 'https://www.wikidata.org/wiki/Q860623', 'display_name': 'Image (mathematics)', 'level': 2, '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/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1109/isit.2016.7541722', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4363604560', 'display_name': '2022 IEEE International Symposium on Information Theory (ISIT)', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'conference'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1807.04643', 'pdf_url': 'https://arxiv.org/pdf/1807.04643', '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': False, 'landing_page_url': 'http://arxiv.org/abs/1512.07248', '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1807.04643', 'pdf_url': 'https://arxiv.org/pdf/1807.04643', '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': 27, 'referenced_works': ['https://openalex.org/W1484715564', 'https://openalex.org/W1557195970', 'https://openalex.org/W1974198688', 'https://openalex.org/W1975983932', 'https://openalex.org/W1988451630', 'https://openalex.org/W1988529089', 'https://openalex.org/W2015418199', 'https://openalex.org/W2017890892', 'https://openalex.org/W2018324106', 'https://openalex.org/W2020390700', 'https://openalex.org/W2033585806', 'https://openalex.org/W2034260606', 'https://openalex.org/W2097323375', 'https://openalex.org/W2127271355', 'https://openalex.org/W2129131372', 'https://openalex.org/W2134474909', 'https://openalex.org/W2140856955', 'https://openalex.org/W2149206122', 'https://openalex.org/W2160979406', 'https://openalex.org/W2164452299', 'https://openalex.org/W2207649167', 'https://openalex.org/W2289917018', 'https://openalex.org/W2296616510', 'https://openalex.org/W2963275613', 'https://openalex.org/W2963404325', 'https://openalex.org/W3105340263', 'https://openalex.org/W4250955649'], 'related_works': ['https://openalex.org/W4394644422', 'https://openalex.org/W4200104579', 'https://openalex.org/W3150789642', 'https://openalex.org/W2951968883', 'https://openalex.org/W2134474909', 'https://openalex.org/W2122469757', 'https://openalex.org/W2025666718', 'https://openalex.org/W1975983932', 'https://openalex.org/W1848313300', 'https://openalex.org/W1759790807'], 'abstract_inverted_index': {'Support': [0], 'recovery': [1], 'of': [2, 42, 64, 68, 77, 102, 160, 164], 'sparse': [3], 'signals': [4], 'from': [5, 79], 'noisy': [6], 'measurements': [7, 81], 'with': [8, 45], 'orthogonal': [9], 'matching': [10], 'pursuit': [11], '(OMP)': [12], 'has': [13], 'been': [14], 'extensively': [15], 'studied': [16], 'in': [17, 87, 100, 150], 'the': [18, 32, 37, 61, 65, 70, 75, 80, 93, 147, 154, 157, 161], 'literature.': [19], 'In': [20], 'this': [21], 'paper,': [22], 'we': [23], 'show': [24], 'that': [25], 'for': [26, 108, 140], 'any': [27, 109, 117], 'K-sparse': [28, 127], 'signal': [29, 148], 'x,': [30, 69], 'if': [31], 'sensing': [33], 'matrix': [34, 131], 'A': [35, 132], 'satisfies': [36], 'restricted': [38, 46], 'isometry': [39, 47], 'property': [40], '(RIP)': [41], 'order': [43], 'K+1': [44], 'constant': [48], '(RIC)': [49], 'δ': [50, 103, 134], '<sub': [51, 104, 135], 'xmlns:mml="http://www.w3.org/1998/Math/MathML"': [52, 105, 136], 'xmlns:xlink="http://www.w3.org/1999/xlink">K+1</sub>': [53, 106, 137], '<;': [54, 121], '1/√K+1,': [55], 'then': [56], 'under': [57], 'some': [58], 'constraint': [59, 155], 'on': [60, 156], 'minimum': [62, 158], 'magnitude': [63, 159], 'nonzero': [66, 162], 'elements': [67, 163], 'OMP': [71, 142], 'algorithm': [72], 'exactly': [73], 'recovers': [74], 'support': [76], 'x': [78, 128, 149, 165], 'y': [82], '=': [83, 138], 'Ax': [84], '+': [85], 'v': [86, 91], 'K': [88, 113, 151], 'iterations,': [89], 'where': [90], 'is': [92, 98, 166], 'noise': [94], 'vector.': [95], 'This': [96], 'condition': [97], 'sharp': [99], 'terms': [101], 'since': [107], 'given': [110], 'positive': [111], 'integer': [112], '≥': [114], '2': [115], 'and': [116, 129], '1/√K+1': [118], '≤': [119], 't': [120, 139], '1,': [122], 'there': [123], 'always': [124], 'exist': [125], 'a': [126, 130], 'satisfying': [133], 'which': [141], 'may': [143], 'fail': [144], 'to': [145], 'recover': [146], 'iterations.': [152], 'Moreover,': [153], 'weaker': [167], 'than': [168], 'existing': [169], 'results.': [170]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2963233227', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 3}, {'year': 2020, 'cited_by_count': 4}, {'year': 2019, 'cited_by_count': 5}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 18}, {'year': 2016, 'cited_by_count': 6}], 'updated_date': '2025-01-09T02:33:04.083801', 'created_date': '2019-07-30'}