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Co-citation Proximity Analysis was conceived by B. Gipp in 2006 [3] and the description of the document similarity measure was later published by Gipp and Beel in 2009. [1] The similarity measure rests on the assumption that within a document’s full-text, the documents cited in close proximity to each other tend to be more strongly related ...
The proximal operator can be seen as a generalization of the projection operator. Indeed, in the specific case where f {\displaystyle f} is the 0- ∞ {\displaystyle \infty } characteristic function ι C {\displaystyle \iota _{C}} of a nonempty, closed, convex set C {\displaystyle C} we have that
They are called proximal because each non-differentiable function among ,..., is involved via its proximity operator. Iterative shrinkage thresholding algorithm, [ 1 ] projected Landweber , projected gradient, alternating projections , alternating-direction method of multipliers , alternating split Bregman are special instances of proximal ...
In computer science there are binary and unary operators depending on the number of elements or records an operator acts on. In database searching there are Boolean and Proximity operators. Boolean operators are a subclass of logical operators (Logical operators are binary operators that manipulate data at the bit level.). A Boolean operator ...
A gateway to government science information and research results. Science.gov provides a search of over 45 scientific databases and 200 million pages of science information with just one query, and is a gateway to over 2000 scientific Websites. Free
The Web of Science (WoS; previously known as Web of Knowledge) is a paid-access platform that provides (typically via the internet) access to multiple databases that provide reference and citation data from academic journals, conference proceedings, and other documents in various academic disciplines.
Proximity analysis is a class of spatial analysis tools and algorithms that employ geographic distance as a central principle. [1] Distance is fundamental to geographic inquiry and spatial analysis, due to principles such as the friction of distance , Tobler's first law of geography , and Spatial autocorrelation , which are incorporated into ...
One important technique related to proximal gradient methods is the Moreau decomposition, which decomposes the identity operator as the sum of two proximity operators. [1] Namely, let φ : X → R {\displaystyle \varphi :{\mathcal {X}}\to \mathbb {R} } be a lower semicontinuous , convex function on a vector space X {\displaystyle {\mathcal {X}}} .