Publication Information

{'id': 'https://openalex.org/W2152487644', 'doi': None, 'title': 'Validity of the expected Euler characteristic heuristic', 'display_name': 'Validity of the expected Euler characteristic heuristic', 'publication_year': 2003, 'publication_date': '2003-01-01', 'ids': {'openalex': 'https://openalex.org/W2152487644', 'mag': '2152487644'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://projecteuclid.org/download/pdfview_1/euclid.aop/1120224584', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'book', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5021087479', 'display_name': 'Jonathan Taylor', 'orcid': 'https://orcid.org/0000-0002-1716-7160'}, 'institutions': [{'id': 'https://openalex.org/I97018004', 'display_name': 'Stanford University', 'ror': 'https://ror.org/00f54p054', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I97018004']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Jonathan Taylor', 'raw_affiliation_strings': ['Stanford University ()'], 'affiliations': [{'raw_affiliation_string': 'Stanford University ()', 'institution_ids': ['https://openalex.org/I97018004']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5025039029', 'display_name': 'Akimichi Takemura', 'orcid': 'https://orcid.org/0000-0002-5216-4969'}, 'institutions': [{'id': 'https://openalex.org/I74801974', 'display_name': 'The University of Tokyo', 'ror': 'https://ror.org/057zh3y96', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I74801974']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Akimichi Takemura', 'raw_affiliation_strings': ['Univ.\\ of Tokyo'], 'affiliations': [{'raw_affiliation_string': 'Univ.\\ of Tokyo', 'institution_ids': ['https://openalex.org/I74801974']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5029952351', 'display_name': 'Robert J. Adler', 'orcid': 'https://orcid.org/0000-0002-8170-0396'}, 'institutions': [{'id': 'https://openalex.org/I174306211', 'display_name': 'Technion – Israel Institute of Technology', 'ror': 'https://ror.org/03qryx823', 'country_code': 'IL', 'type': 'education', 'lineage': ['https://openalex.org/I174306211']}], 'countries': ['IL'], 'is_corresponding': False, 'raw_author_name': 'Robert J. Adler', 'raw_affiliation_strings': ['Technion-Israel Institute of Technology'], 'affiliations': [{'raw_affiliation_string': 'Technion-Israel Institute of Technology', 'institution_ids': ['https://openalex.org/I174306211']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.131, 'has_fulltext': False, 'cited_by_count': 87, 'citation_normalized_percentile': {'value': 0.699248, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 95, 'max': 96}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10136', 'display_name': 'Statistical Methods and Inference', 'score': 0.983, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10136', 'display_name': 'Statistical Methods and Inference', 'score': 0.983, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T13487', 'display_name': 'Statistical and numerical algorithms', 'score': 0.9809, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10770', 'display_name': 'Soil Geostatistics and Mapping', 'score': 0.9801, 'subfield': {'id': 'https://openalex.org/subfields/2305', 'display_name': 'Environmental Engineering'}, 'field': {'id': 'https://openalex.org/fields/23', 'display_name': 'Environmental Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation', 'score': 0.5061647}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7084072}, {'id': 'https://openalex.org/C62884695', 'wikidata': 'https://www.wikidata.org/wiki/Q184871', 'display_name': "Euler's formula", 'level': 2, 'score': 0.6623664}, {'id': 'https://openalex.org/C196083921', 'wikidata': 'https://www.wikidata.org/wiki/Q7915758', 'display_name': 'Variance (accounting)', 'level': 2, 'score': 0.64726514}, {'id': 'https://openalex.org/C163716315', 'wikidata': 'https://www.wikidata.org/wiki/Q901177', 'display_name': 'Gaussian', 'level': 2, 'score': 0.6124815}, {'id': 'https://openalex.org/C151376022', 'wikidata': 'https://www.wikidata.org/wiki/Q168698', 'display_name': 'Exponential function', 'level': 2, 'score': 0.6114549}, {'id': 'https://openalex.org/C88871306', 'wikidata': 'https://www.wikidata.org/wiki/Q7208287', 'display_name': 'Point process', 'level': 2, 'score': 0.5862416}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.5061647}, {'id': 'https://openalex.org/C61326573', 'wikidata': 'https://www.wikidata.org/wiki/Q1496376', 'display_name': 'Gaussian process', 'level': 3, 'score': 0.5043889}, {'id': 'https://openalex.org/C173801870', 'wikidata': 'https://www.wikidata.org/wiki/Q201413', 'display_name': 'Heuristic', 'level': 2, 'score': 0.5024345}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.4746331}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.3465724}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.27210557}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.17881835}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.1157943}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.06805965}, {'id': 'https://openalex.org/C121955636', 'wikidata': 'https://www.wikidata.org/wiki/Q4116214', 'display_name': 'Accounting', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C144133560', 'wikidata': 'https://www.wikidata.org/wiki/Q4830453', 'display_name': 'Business', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://projecteuclid.org/download/pdfview_1/euclid.aop/1120224584', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.49, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 20, 'referenced_works': ['https://openalex.org/W1558734179', 'https://openalex.org/W1562147356', 'https://openalex.org/W1653384328', 'https://openalex.org/W1979472779', 'https://openalex.org/W1981225903', 'https://openalex.org/W1989153701', 'https://openalex.org/W1992051317', 'https://openalex.org/W2006070789', 'https://openalex.org/W2009012166', 'https://openalex.org/W2034944977', 'https://openalex.org/W2044970534', 'https://openalex.org/W2048209332', 'https://openalex.org/W2057980036', 'https://openalex.org/W2064061956', 'https://openalex.org/W2109519430', 'https://openalex.org/W2153644793', 'https://openalex.org/W2314948770', 'https://openalex.org/W2325410206', 'https://openalex.org/W2414083320', 'https://openalex.org/W2983836991'], 'related_works': ['https://openalex.org/W577213760', 'https://openalex.org/W2983836991', 'https://openalex.org/W2325410206', 'https://openalex.org/W2317772282', 'https://openalex.org/W2162309629', 'https://openalex.org/W2106637864', 'https://openalex.org/W2064061956', 'https://openalex.org/W2034944977', 'https://openalex.org/W2010161771', 'https://openalex.org/W2009012166', 'https://openalex.org/W2006070789', 'https://openalex.org/W200075024', 'https://openalex.org/W1990770240', 'https://openalex.org/W1982897095', 'https://openalex.org/W1981225903', 'https://openalex.org/W1980430435', 'https://openalex.org/W1979472779', 'https://openalex.org/W1558734179', 'https://openalex.org/W1546851689', 'https://openalex.org/W1545211435'], 'abstract_inverted_index': {'We': [0, 56], 'study': [1], 'the': [2, 5, 11, 14, 31, 41, 51, 54, 71, 85], 'accuracy': [3], 'of': [4, 13, 16, 30, 50, 66, 70, 74, 77], 'expected': [6], 'Euler': [7], 'characteristic': [8], 'approximation': [9], 'to': [10], 'distribution': [12], 'maximum': [15], 'a': [17, 26, 59, 75], 'smooth,': [18], 'centered,': [19], 'unit': [20], 'variance': [21, 73], 'Gaussian': [22, 78], 'process': [23, 28, 87], 'f.': [24, 88], 'Using': [25], 'point': [27], 'representation': [29], 'error,': [32], 'valid': [33], 'for': [34], 'arbitrary': [35], 'smooth': [36], 'processes,': [37], 'we': [38], 'show': [39], 'that': [40], 'error': [42], 'is': [43], 'in': [44, 53, 68], 'general': [45], 'exponentially': [46], 'smaller': [47], 'than': [48], 'any': [49], 'terms': [52, 69], 'approximation.': [55], 'also': [57], 'give': [58], 'lower': [60], 'bound': [61], 'on': [62], 'this': [63], 'exponential': [64], 'rate': [65], 'decay': [67], 'maximal': [72], 'family': [76], 'processes': [79], 'f': [80], 'x': [81], ',': [82], 'derived': [83], 'from': [84], 'original': [86]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2152487644', 'counts_by_year': [{'year': 2023, 'cited_by_count': 3}, {'year': 2021, 'cited_by_count': 4}, {'year': 2020, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 6}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 4}, {'year': 2016, 'cited_by_count': 6}, {'year': 2015, 'cited_by_count': 9}, {'year': 2014, 'cited_by_count': 4}, {'year': 2013, 'cited_by_count': 8}, {'year': 2012, 'cited_by_count': 10}], 'updated_date': '2024-12-12T05:01:36.065948', 'created_date': '2016-06-24'}