In other words, the sum of two subspaces is the set that contains all the vectors that can be written as sums of two vectors, one picked from and the other taken from . ExampleLet be the space of all column vectors. Let be the subspace of all vectors that can be written as scalar ...
It then applies a conventional clustering algorithm to the extracted feature vectors or model parameters. These are called the feature-based and model-based approaches, respectively. Three categorized temporal data clustering approaches are summarized in Table 3.1. Table 3.1. A Taxonomy on Temporal ...
Determination of two vectors from the sum - Lindström - 1969B. Lindstro¨m, Determination of two vectors from the sum, J. Combin. Theory, 6 (1969), pp. 402-407.B. Lindstrom, Determination of 2 vectors from sum, J. Combinat. Theory 6 (1969) 402-407....
7 It is recognised that hydrophobicity is a key property to be controlled for nanomedicine applications since it has a direct influence on the stability and bio-distribution of nanovectors.3,6,8 Only a few methods are currently available for characterisating the hydrophobicity of NMs9—for ...
Because all four vectors (\({{{\mathbf{t}}}_i^ \ast\), \({{{\mathbf{t}}}_j\), \({{{\mathbf{y}}}^ \ast\), and \({{{\mathbf{y}}}\)) in the first term of the numerator of Eq. (3) are speckle fields that can be considered Gaussian random variables61, we decompose...
In the mixed norm \(\Omega (\varvec{\alpha })\), the parameter vector \(\varvec{\alpha }\) is grouped in the sub-vectors \(\varvec{\alpha }_{1},\dots ,\varvec{\alpha }_{D_x}\). Minimizing a loss function penalized with \(\Omega (\varvec{\alpha })\) tends to produce...
of samples. That is, the pattern is "local", and may not be detectable using a "global" measure of the similarity between pairs of genes, e.g., Pearson correlation coefficient computed on vectors of expression values [16–18]. Motivated by this concern with detecting "local" structure, ...
DPC eliminates the need for internal current control loops and a pulse-width modulation (PWM) technique modulator block by using a switching table based on instantaneous errors between commanded and estimated values of active/reactive powers and voltage position vectors to select inverter switching ...
Stein's Lemma for elliptical random vectors - ScienceDirect For the family of multivariate normal distribution functions, Stein's Lemma presents a useful tool for calculating covariances between functions of the com... Zinoviy Landsman a,Johanna Nelehová b - 《Journal of Multivariate Analysis》 被...
The new descriptors are given by the external weights, which connect the map neurons to the input vectors. The learning consists of finding the weights which best cover the input space by applying the illustrated algorithm in Definition 1. Definition 1 (Kohonen map unsupervised learning problem...