Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2963248893', 'doi': 'https://doi.org/10.1007/978-3-319-46128-1_50', 'title': 'Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-Łojasiewicz Condition', 'display_name': 'Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-Łojasiewicz Condition', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W2963248893', 'doi': 'https://doi.org/10.1007/978-3-319-46128-1_50', 'mag': '2963248893'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-319-46128-1_50', 'pdf_url': None, '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': 'https://arxiv.org/pdf/1608.04636', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5014135398', 'display_name': 'Hamed Karimi', 'orcid': 'https://orcid.org/0000-0002-3273-942X'}, 'institutions': [{'id': 'https://openalex.org/I141945490', 'display_name': 'University of British Columbia', 'ror': 'https://ror.org/03rmrcq20', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I141945490']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Hamed Karimi', 'raw_affiliation_strings': ['Department of Computer Science, University of British Columbia, Vancouver, BC, Canada'], 'affiliations': [{'raw_affiliation_string': 'Department of Computer Science, University of British Columbia, Vancouver, BC, Canada', 'institution_ids': ['https://openalex.org/I141945490']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5082983714', 'display_name': 'Julie Nutini', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I141945490', 'display_name': 'University of British Columbia', 'ror': 'https://ror.org/03rmrcq20', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I141945490']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Julie Nutini', 'raw_affiliation_strings': ['Department of Computer Science, University of British Columbia, Vancouver, BC, Canada'], 'affiliations': [{'raw_affiliation_string': 'Department of Computer Science, University of British Columbia, Vancouver, BC, Canada', 'institution_ids': ['https://openalex.org/I141945490']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5101466411', 'display_name': 'Mark Schmidt', 'orcid': 'https://orcid.org/0000-0003-1129-5273'}, 'institutions': [{'id': 'https://openalex.org/I141945490', 'display_name': 'University of British Columbia', 'ror': 'https://ror.org/03rmrcq20', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I141945490']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Mark Schmidt', 'raw_affiliation_strings': ['Department of Computer Science, University of British Columbia, Vancouver, BC, Canada'], 'affiliations': [{'raw_affiliation_string': 'Department of Computer Science, University of British Columbia, Vancouver, BC, Canada', 'institution_ids': ['https://openalex.org/I141945490']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 5000, 'currency': 'EUR', 'value_usd': 5392, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 54.723, 'has_fulltext': False, 'cited_by_count': 736, 'citation_normalized_percentile': {'value': 0.999833, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': None, 'issue': None, 'first_page': '795', 'last_page': '811'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11612', 'display_name': 'Stochastic Gradient Optimization Techniques', 'score': 0.9998, '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/T11612', 'display_name': 'Stochastic Gradient Optimization Techniques', 'score': 0.9998, '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/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/T11205', 'display_name': 'Numerical methods in inverse problems', 'score': 0.979, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/convexity', 'display_name': 'Convexity', 'score': 0.8809416}, {'id': 'https://openalex.org/keywords/stochastic-gradient-descent', 'display_name': 'Stochastic Gradient Descent', 'score': 0.57289124}], 'concepts': [{'id': 'https://openalex.org/C72134830', 'wikidata': 'https://www.wikidata.org/wiki/Q5166524', 'display_name': 'Convexity', 'level': 2, 'score': 0.8809416}, {'id': 'https://openalex.org/C57869625', 'wikidata': 'https://www.wikidata.org/wiki/Q1783502', 'display_name': 'Rate of convergence', 'level': 3, 'score': 0.70826656}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.612119}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6029202}, {'id': 'https://openalex.org/C206688291', 'wikidata': 'https://www.wikidata.org/wiki/Q7617819', 'display_name': 'Stochastic gradient descent', 'level': 3, 'score': 0.57289124}, {'id': 'https://openalex.org/C2777303404', 'wikidata': 'https://www.wikidata.org/wiki/Q759757', 'display_name': 'Convergence (economics)', 'level': 2, 'score': 0.5689433}, {'id': 'https://openalex.org/C153258448', 'wikidata': 'https://www.wikidata.org/wiki/Q1199743', 'display_name': 'Gradient descent', 'level': 3, 'score': 0.55499697}, {'id': 'https://openalex.org/C108710211', 'wikidata': 'https://www.wikidata.org/wiki/Q11538', 'display_name': 'Mathematical proof', 'level': 2, 'score': 0.554175}, {'id': 'https://openalex.org/C177148314', 'wikidata': 'https://www.wikidata.org/wiki/Q170084', 'display_name': 'Generalization', 'level': 2, 'score': 0.5427873}, {'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.5213886}, {'id': 'https://openalex.org/C145446738', 'wikidata': 'https://www.wikidata.org/wiki/Q319913', 'display_name': 'Convex function', 'level': 3, 'score': 0.48222387}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.4417424}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.38857678}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.30161333}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.1919057}, {'id': 'https://openalex.org/C50644808', 'wikidata': 'https://www.wikidata.org/wiki/Q192776', 'display_name': 'Artificial neural network', 'level': 2, 'score': 0.06979877}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.064798504}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.05499366}, {'id': 'https://openalex.org/C31258907', 'wikidata': 'https://www.wikidata.org/wiki/Q1301371', 'display_name': 'Computer network', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127162648', 'wikidata': 'https://www.wikidata.org/wiki/Q16858953', 'display_name': 'Channel (broadcasting)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C106159729', 'wikidata': 'https://www.wikidata.org/wiki/Q2294553', 'display_name': 'Financial economics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C50522688', 'wikidata': 'https://www.wikidata.org/wiki/Q189833', 'display_name': 'Economic growth', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-319-46128-1_50', 'pdf_url': None, '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1608.04636', 'pdf_url': 'https://arxiv.org/pdf/1608.04636', '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': 'https://arxiv.org/abs/1608.04636', 'pdf_url': 'https://arxiv.org/pdf/1608.04636', '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': [{'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities', 'score': 0.66}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 48, 'referenced_works': ['https://openalex.org/W1871644925', 'https://openalex.org/W1903038885', 'https://openalex.org/W1934819276', 'https://openalex.org/W1939652453', 'https://openalex.org/W1969573529', 'https://openalex.org/W1982644026', 'https://openalex.org/W1992208280', 'https://openalex.org/W2000983337', 'https://openalex.org/W2017558614', 'https://openalex.org/W2072265605', 'https://openalex.org/W2078853581', 'https://openalex.org/W2079482358', 'https://openalex.org/W2093417350', 'https://openalex.org/W2095984592', 'https://openalex.org/W2100007248', 'https://openalex.org/W2101087512', 'https://openalex.org/W2101868363', 'https://openalex.org/W2105875671', 'https://openalex.org/W2107438106', 'https://openalex.org/W2108005121', 'https://openalex.org/W2117669906', 'https://openalex.org/W2117686388', 'https://openalex.org/W2124541940', 'https://openalex.org/W2128336967', 'https://openalex.org/W2135125546', 'https://openalex.org/W2159930037', 'https://openalex.org/W2161227280', 'https://openalex.org/W2164149555', 'https://openalex.org/W2164554474', 'https://openalex.org/W2168655828', 'https://openalex.org/W2168914046', 'https://openalex.org/W2205007824', 'https://openalex.org/W2229440883', 'https://openalex.org/W2264003244', 'https://openalex.org/W2304667012', 'https://openalex.org/W2306875213', 'https://openalex.org/W2334285086', 'https://openalex.org/W2407904812', 'https://openalex.org/W2566240941', 'https://openalex.org/W2570983198', 'https://openalex.org/W2592062427', 'https://openalex.org/W2952627813', 'https://openalex.org/W2962826994', 'https://openalex.org/W2962867868', 'https://openalex.org/W2963830980', 'https://openalex.org/W3100208521', 'https://openalex.org/W3141595720', 'https://openalex.org/W3176583243'], 'related_works': ['https://openalex.org/W4398758929', 'https://openalex.org/W4366280654', 'https://openalex.org/W4362706668', 'https://openalex.org/W4231621013', 'https://openalex.org/W4206903459', 'https://openalex.org/W3160167280', 'https://openalex.org/W3008318776', 'https://openalex.org/W2754816816', 'https://openalex.org/W1977633006', 'https://openalex.org/W1971945429'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2963248893', 'counts_by_year': [{'year': 2024, 'cited_by_count': 56}, {'year': 2023, 'cited_by_count': 65}, {'year': 2022, 'cited_by_count': 79}, {'year': 2021, 'cited_by_count': 174}, {'year': 2020, 'cited_by_count': 156}, {'year': 2019, 'cited_by_count': 97}, {'year': 2018, 'cited_by_count': 50}, {'year': 2017, 'cited_by_count': 25}, {'year': 2016, 'cited_by_count': 16}], 'updated_date': '2024-12-26T05:58:50.607296', 'created_date': '2019-07-30'}