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Intell. Syst. Technol."],"published-print":{"date-parts":[[2022,2,28]]},"abstract":"<jats:p>Tactic learning in virtual reality (VR) has been proven to be effective for basketball training. Endowed with the ability of generating virtual defenders in real time according to the movement of virtual offenders controlled by the user, a VR basketball training system can bring more immersive and realistic experiences for the trainee. In this article, an autoregressive generative model for instantly producing basketball defensive trajectory is introduced. We further focus on the issue of preserving the diversity of the generated trajectories. A differentiable sampling mechanism is adopted to learn the continuous Gaussian distribution of player position. Moreover, several heuristic loss functions based on the domain knowledge of basketball are designed to make the generated trajectories assemble real situations in basketball games. We compare the proposed method with the state-of-the-art works in terms of both objective and subjective manners. The objective manner compares the average position, velocity, and acceleration of the generated defensive trajectories with the real ones to evaluate the fidelity of the results. In addition, more high-level aspects such as the empty space for offender and the defensive pressure of the generated trajectory are also considered in the objective evaluation. As for the subjective manner, visual comparison questionnaires on the proposed and other methods are thoroughly conducted. The experimental results show that the proposed method can achieve better performance than previous basketball defensive trajectory generation works in terms of different evaluation metrics.<\/jats:p>","DOI":"10.1145\/3460619","type":"journal-article","created":{"date-parts":[[2021,12,24]],"date-time":"2021-12-24T00:43:16Z","timestamp":1640306596000},"page":"1-20","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Instant Basketball Defensive Trajectory Generation"],"prefix":"10.1145","volume":"13","author":[{"given":"Wen-Cheng","family":"Chen","sequence":"first","affiliation":[{"name":"National Cheng Kung University, Tainan City, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wan-Lun","family":"Tsai","sequence":"additional","affiliation":[{"name":"National Cheng Kung University, Tainan City, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huan-Hua","family":"Chang","sequence":"additional","affiliation":[{"name":"National Cheng Kung University, Tainan City, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1917-2155","authenticated-orcid":false,"given":"Min-Chun","family":"Hu","sequence":"additional","affiliation":[{"name":"National Tsing Hua University, Hsinchu, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei-Ta","family":"Chu","sequence":"additional","affiliation":[{"name":"National Cheng Kung University, Tainan City, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2021,12,23]]},"reference":[{"key":"e_1_3_1_2_2","unstructured":"Mart\u00edn Abadi Ashish Agarwal Paul Barham Eugene Brevdo Zhifeng Chen Craig Citro Greg S. 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