For every pair of representations, the interaction between lengths and representations was significant (smallest F 1, 20) = 5.96 with largest p<0.05).
Instead of identifying the linear dependence relations between each pair of variables, sparse representation employs the multivariate regression model to characterize the unique contribution of each point to the objective point.
The default position among social psychologists is to treat implicit attitudes as if they are associations among mental representations (Fazio 2007), or among pairs of mental representations and valences.
The distance for every pair of the symbolic representations of time series sequences was computed by each of the three distance functions and then the clusters of those time series sequences were identified based on the distances.
Instead, the data objects only occur in terms of dot products ⟨φ (x), φ (x')⟩ between pairs of descriptor representations, which allow the so-called kernel trick to be applied.
This is done by looking at the recovery of representation pairs, which form orthonormal bases and whose atoms have their energy concentrated on supports of size m for m=4,8,16,32,64,128,256.
Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained.
It's interesting to see that a simple product, such as a pair of shoes, can become the representation of a long process of research and development, engineering and design.
First, as recently reported in this newspaper, the cost of millions of short reads of one cell by a gene sequencing machine is dwarfed by the data processing costs to turn them into a single usable three-billion-base-pair digital representation of a genome.
We consider a pair-based representation of Markovian SIR dynamics.
The features extracted in the feature extraction process show that the handwriting of a pair of twins has very similar representations which causes a problem once the input is used in the classification process as similarities will lower the accuracy of the classification task.
