乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:56:48Z","timestamp":1740149808230,"version":"3.37.3"},"reference-count":55,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,31]],"date-time":"2022-01-31T00:00:00Z","timestamp":1643587200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"Information theory can be used to analyze the cost\u2013benefit of visualization processes. However, the current measure of benefit contains an unbounded term that is neither easy to estimate nor intuitive to interpret. In this work, we propose to revise the existing cost\u2013benefit measure by replacing the unbounded term with a bounded one. We examine a number of bounded measures that include the Jenson\u2013Shannon divergence, its square root, and a new divergence measure formulated as part of this work. We describe the rationale for proposing a new divergence measure. In the first part of this paper, we focus on the conceptual analysis of the mathematical properties of these candidate measures. We use visualization to support the multi-criteria comparison, narrowing the search down to several options with better mathematical properties. The theoretical discourse and conceptual evaluation in this part provides the basis for further data-driven evaluation based on synthetic and experimental case studies that are reported in the second part of this paper.<\/jats:p>","DOI":"10.3390\/e24020228","type":"journal-article","created":{"date-parts":[[2022,2,1]],"date-time":"2022-02-01T14:59:21Z","timestamp":1643727561000},"page":"228","source":"Crossref","is-referenced-by-count":5,"title":["A Bounded Measure for Estimating the Benefit of Visualization (Part I): Theoretical Discourse and Conceptual Evaluation"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5320-5729","authenticated-orcid":false,"given":"Min","family":"Chen","sequence":"first","affiliation":[{"name":"Oxford e-Research Centre (OeRC), Department of Engineering Science, University of Oxford, Oxford OX1 3QG, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2164-6858","authenticated-orcid":false,"given":"Mateu","family":"Sbert","sequence":"additional","affiliation":[{"name":"Department of Inform\u00e0tica i Matem\u00e0tica Aplicada, University of Girona, 17071 Girona, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2619","DOI":"10.1109\/TVCG.2015.2513410","article-title":"What May Visualization Processes Optimize?","volume":"22","author":"Chen","year":"2016","journal-title":"IEEE Trans. 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