The Johnson-Lindenstrauss (JL) theorem has found numerous applications, including searching for approximate nearest neighbors (ANNs) [18] and dimension reduction in database, and so forth, by the JL lemma [22], points in Euclidean space can be projected from the original dimensions down to lower dimensions while just incurring a distortion of at most in their pairwise distances, where.
Comparing the growth of UniRef with UniProtKB shows a correspondingly improved relative reduction in database size by UniRef, particularly apparent in the last 3 years.
The relative reduction in database size went from 5%/42%/70% in 2004 to 54%/73%/8%% in 2014 for UniRef100, UniRef90 and UniRef50, respectively, illustrating the effectiveness of UniRef in minimizing sequence redundancy.
To evaluate the statistical power provided by different facets of the PhyloScan approach in real sequence data, we measured the increase in sensitivity originating from three sources: a reduction in database size, the use of aligned sequence data only, and the use of non-alignable ortholog data.
Finally, the highest reduction in all databases occurred under the AWGN with handset condition, which is due to the uniformity of the spectrum effect of the noise.
The generation flow allows for a reduction in the database code size, up to 70% in our experiments, and a contraction of three orders of magnitudes of the verification space vs. conventional design flows of RTL macrocells.
Removing stereochemistry information provided the largest reduction in ambiguity across databases (median reduction 13.7 percentage points).
Built-in databases label the files.
This enabled us to consolidate servers, reduce data center costs and increase site performance (We achieved a nearly 12 1 reduction in server and database requirements).
As a consequence, the SITW database has the lowest reduction in SIA compared with the other three databases used for the evaluation.
