2021
DOI: 10.1007/s00214-021-02745-w
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From quantum similarity measures to quantum analogy functors: tools for QShAR, quantitative shape-activity relations

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Cited by 4 publications
(2 citation statements)
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“…Often, the common features among diverse approaches can be reduced to some essential properties, trends, and correlations, which allow for the use of tools of statistics and mathematics (Kline,1990), which, in turn, may also suggest new ideas and new approaches. Here we shall briefly discuss one mathematical tool, called "functor", that has been shown to be useful for exploiting interdisciplinary scientific analogies Mac Lane, 1997;Mezey, 2020;Mezey, 2021), leading to recognition of new methodologies (Kline, 1990;Mac Lane, 1997;, which, actually by some other analogy, have logical structures reminiscent to those of technological innovations. When recognizing some analogy between two different entities, there are two main aspects which appear important: the recognition of some similarities between the components or ingredients which are parts of the two entities, and, the recognition of similarities between the relations of those components within each of the two entities.…”
Section: Common Framework For Some Innovations: Analogies and Interdisciplinaritymentioning
confidence: 99%
See 1 more Smart Citation
“…Often, the common features among diverse approaches can be reduced to some essential properties, trends, and correlations, which allow for the use of tools of statistics and mathematics (Kline,1990), which, in turn, may also suggest new ideas and new approaches. Here we shall briefly discuss one mathematical tool, called "functor", that has been shown to be useful for exploiting interdisciplinary scientific analogies Mac Lane, 1997;Mezey, 2020;Mezey, 2021), leading to recognition of new methodologies (Kline, 1990;Mac Lane, 1997;, which, actually by some other analogy, have logical structures reminiscent to those of technological innovations. When recognizing some analogy between two different entities, there are two main aspects which appear important: the recognition of some similarities between the components or ingredients which are parts of the two entities, and, the recognition of similarities between the relations of those components within each of the two entities.…”
Section: Common Framework For Some Innovations: Analogies and Interdisciplinaritymentioning
confidence: 99%
“…For analogies, which are typically interpreted as higher level, or more complex similarities, or as "similarity of similarities", the functor approach appears to be well suited, not only for the recognition of analogies, but also for their utilization. Some examples of the functor approach towards analogies have been described in references Mac Lane, 1997;Mezey, 2020;Mezey, 2021) in some cases this approach has been useful for the recognition of complicates similarities of shapes, activities, and various other properties of molecules, actually, with the purpose of innovation in pharmacological drug design, and also in the innovative design of various novel fragrance molecules for the perfume industry.…”
Section: Common Framework For Some Innovations: Analogies and Interdisciplinaritymentioning
confidence: 99%