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Matrix W has a size N × k, whereas matrix H has a size k × M, where k is the desired rank.
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In some real-world multiple attribute decision making (MADM) problems, a decision maker can strategically set attribute weights to obtain her/his desired ranking of alternatives, which we call the strategic weight manipulation of the MADM.
Thus, L≤ min(N t,N f ) is required to establish the desired rank-reduction.
The taxonomy for each homologue is obtained from the GenBank database and chopped to the desired taxonomic rank (in decreasing order: kingdom (first rank), phylum (second), class (third), order (forth) and family (fifth)).
"Girl 6" is popularly regarded as Lee's worst film — or at least it was, until "She Hate Me" arrived, in 2004 — but "Girl 6," with its script by Suzan-Lori Parksmalls small parts for Madonna and Naomi Campbell, and its eerie examination of desire, ranks as a glamorous oddity.
Economic models are often based on an imaginary character called the rational actor, who, with no messy and complex inner world, relentlessly pursues a set of desires ranked according to the costs and benefits.
Make a list of your desired outcomes, and rank them in order of importance.
The former can be achieved when the covariance matrix of the desired signal is rank deficient, which is the case, for example, for voiced speech.
The weather may leave much to be desired, but Chicago ranks above average in most other categories.
In a survey of romance readers, I asked what they found most attractive in a hero and intelligent was one of the top 3 most desired qualities -- ranking higher than the typical tall dark and handsome alpha male.
On this domain, research on (2i) patent and intellectual property issues is more intensive, but it does not represent a highly ranked desired policy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com