کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
326740 542534 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Structured representations in a quantum probability model of similarity
ترجمه فارسی عنوان
بازنمایی های ساختاری در یک مدل احتمال کوانتومی شباهت
کلمات کلیدی
نظریه احتمالی کوانتومی، شباهت، نمایندگی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی


• We consider a model of basic similarity judgments, based on quantum probability principles.
• We augment this model with Smolensky et al. (2014) ideas for structure in representations.
• We show that this proposal can accommodate the main insights regarding structure in similarity judgments.
• We consider the formal properties of our model and discuss the placement of this work in the similarity, analogy literature.

Recently, Busemeyer et al. (2011) presented a model for how the conjunction fallacy (Tversky & Kahneman, 1983) emerges, based on the principles of quantum probability (QP) theory. Pothos et al. (2013) extended this model to account for the main similarity findings of Tversky (1977), which have served as a golden standard for testing novel theories of similarity. However, Tversky’s (1977) empirical findings did not address the now established insight that, in comparing two objects, overlap in matching parts of the objects tends to have a greater impact on their similarity, than overlap in non-matching parts. We show how the QP similarity model can be directly extended to accommodate structure in similarity comparisons. Smolensky’s et al.’s (2014) proposal for modeling structure in linguistic representations, with tensor products, can be adapted ‘as is’ with the QP similarity model. The formal properties of the extended QP similarity model are analyzed, some indicative fits are presented, and, finally, a novel prediction is developed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Psychology - Volumes 64–65, February–April 2015, Pages 35–43
نویسندگان
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