Sentence examples for by the random matrix from inspiring English sources

This paper proposed a high energy efficient analog compressed sensing encoder for wireless ECG system, where the input analog signal is multiplied by the random matrix and the products are integrated on the Multiplying Digital-to-Analog Converter/Integrators (MDAC/Is).

First, assuming two vectors s1 and s2 are given, the inner product of two measurement vectors m1 and m2 by the random matrix V can be expressed as follows [36]: m 1 T m 2 = s 1 T V T Vs 2, (18).

Hits identified by the random matrices were compared with known sRNA regions to identify the number of known sRNA TUs detected.

p ̃ is defined as a probability on ℐ ̃ to be the pdf of the difference of two independent random variables from the set ℐ (the pdf of the random variables from ℐ has the same distribution p is a probability distribution on S. The probability measure on the signature matrix ℳ m × n is induced by choosing entries of the random matrix independently and with the same distribution π.

By dividing this number of matrices by the total size of the random matrix ensemble, we estimate the multiple hypotheses testing corrected significance measure P m for each class and threshold, Figure 3 (see Methods).

A new tractable Bernoulli filter was proposed by Abdulkadir et al. based on the random matrix framework to track an extended target in an ultra-wideband (UWB) sensor network [12].

When t > 1, such as t = 2, the dimensions of the random matrix were reduced by four times, and if t = 8, the dimensions can be reduced by 64 times.

Moreover, based on the ergodicity assumption, it is also common in the analysis of the performance of the RLS-type algorithms to replace the random matrix P k,i by P k when i is large enough.

Gaussian matrices are a familiar object of study in the random matrix community, where Hermitian random matrices are motivated by questions from quantum physics.

However because absolute values of Q are also dependent on the connectivity of the matrix, similarly to Wang et al (2010) a normalized modularity was computed by comparing the observed Q with that of matrices in which the phenotype affected by each weight were randomly chosen, and normalizing by the variance of Q among the random matrices (to generate a Z-score).

that is, the actual watermark is equal to the message m k projected by the M×L random matrix (tilde {mathbb {G}} = mathbb {T}mathbb {G}).