{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T01:23:29Z","timestamp":1775611409803,"version":"3.50.1"},"reference-count":45,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,11,19]],"date-time":"2023-11-19T00:00:00Z","timestamp":1700352000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Social Science Foundation Project of Fujian Province of China","award":["FJ2023B109"],"award-info":[{"award-number":["FJ2023B109"]}]},{"name":"Social Science Foundation Project of Fujian Province of China","award":["22FGLB035"],"award-info":[{"award-number":["22FGLB035"]}]},{"DOI":"10.13039\/501100012456","name":"National Social Science Foundation Project of China","doi-asserted-by":"publisher","award":["FJ2023B109"],"award-info":[{"award-number":["FJ2023B109"]}],"id":[{"id":"10.13039\/501100012456","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012456","name":"National Social Science Foundation Project of China","doi-asserted-by":"publisher","award":["22FGLB035"],"award-info":[{"award-number":["22FGLB035"]}],"id":[{"id":"10.13039\/501100012456","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Based on authorized patents of China\u2019s artificial intelligence industry from 2013 to 2022, this paper constructs an Industry\u2013University\u2013Research institution (IUR) collaboration network and an Inter-Firm (IF) collaboration network and used the entropy weight method to take both the quantity and quality of patents into account to calculate the innovation performance of firms. Through the hierarchical clustering algorithm and classification and regression trees (CART) algorithm, in-depth analysis has been conducted on the intricate non-linear influence mechanisms between multiple variables and a firm\u2019s innovation performance. The findings indicate the following: (1) Based on the network centrality (NC), structural hole (SH), collaboration breadth (CB), and collaboration depth (CD) of both IUR and IF collaboration networks, two types of focal firms are identified. (2) For different types of focal firms, the combinations of network characteristics affecting their innovation performance are various. (3) In the IUR collaboration network, focal firms with a wide range of heterogeneous collaborative partners can obtain high innovation performance. However, focal firms in the IF collaboration network can achieve the same aim by maintaining deep collaboration with other focal firms. This paper not only helps firms make scientific decisions for development but also provides valuable suggestions for government policymakers.<\/jats:p>","DOI":"10.3390\/e25111560","type":"journal-article","created":{"date-parts":[[2023,11,20]],"date-time":"2023-11-20T00:30:50Z","timestamp":1700440250000},"page":"1560","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["How Do Heterogeneous Networks Affect a Firm\u2019s Innovation Performance? A Research Analysis Based on Clustering and Classification"],"prefix":"10.3390","volume":"25","author":[{"given":"Liping","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Business Administration, Huaqiao University, Quanzhou 362021, China"},{"name":"Research Center for Applied Statistics and Big Data, Huaqiao University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hanhui","family":"Qiu","sequence":"additional","affiliation":[{"name":"College of Business Administration, Huaqiao University, Quanzhou 362021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinyi","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Business Administration, Huaqiao University, Quanzhou 362021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenhao","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Business Administration, Huaqiao University, Quanzhou 362021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6924-9689","authenticated-orcid":false,"given":"Hailin","family":"Li","sequence":"additional","affiliation":[{"name":"College of Business Administration, Huaqiao University, Quanzhou 362021, China"},{"name":"Research Center for Applied Statistics and Big Data, Huaqiao University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"102025","DOI":"10.1016\/j.techsoc.2022.102025","article-title":"Market-value oriented or technology-value oriented? \u2014Location impacts of industry-university-research (IUR) cooperation bases on innovation performance","volume":"70","author":"Cui","year":"2022","journal-title":"Technol. 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