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Here, we have defined the transformed matrix as ̃A(n) and the transformedvector as ̃h(n). These transformations are carried out by computing the element-wise product between the original matrix/vector and the scaling factor, whichis formed by dividing each element in the original matrix/vector by the sum ofall its elements. This scaling factor ensures that the transformed matrix/vectorhas the same sum as the original one.To summarize, the transformation process involves three steps:1. Computing the scaling factor by dividing each element in the originalmatrix/vector by the sum of all its elements.2. Computing the element-wise product between the original matrix/vectorand the scaling factor.3. Applying the element-wise product recursively to all layers of the originalmatrix/vector.
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |