Specifically, CSNMF adopts a correntropy based loss function instead of the squared Euclidean distance (SED) in constrained NMF to suppress the influence of non-Gaussian noise or outliers contaminated in real world data, and simultaneously uses two types of supervised information, i.e., the ...
SSE is the acronym for "sum of squared errors", Cj denotes the centroid of the jth cluster, Pij denotes the ith pattern of the jth cluster, nj denotes the number of objects in the jth cluster, K denotes the predetermined number of clusters, and ||·|| denotes the Euclidian distance. ...
RMSE: root mean squared error on held-out observations, dim: number of latent dimensions or components, FA: factor analysis, RSF: real-valued spatial factorization, PNMF: probabilistic nonnegative matrix factorization, NSF: nonnegative spatial factorization, NSFH: NSF hybrid model, lik: likelihood...
For enhancing the discriminant and parts-based interpretability, this work proposes a label and orthogonality regularized NMF (LONMF) algorithm based on the squared Euclidean distance. LONMF takes into account the label consistence with the low -dimensional projected data and orthogonal property of the...
(15)Δu=∑i=1Ntrainℓui⋅exp−Pq−Pi22θ2∑i=1Ntrainexp−Pq−Pi22θ2−1where N(train) is the number of proteins used to train the model, θ is a parameter whose optimal value will be determined later, and ‖Pq − Pi‖2 is the squared Euclidean distance [84] between...
The function removed cells if the FRAP mask could not be overlayed with the cell mask, if the FRAP mask was less than four pixels from the cell edge or if the Euclidean distance traveled for the cell centroid was >4 µm for any frame post stimulation. The photobleaching correction ...
=2r0/aonce the overall distance scale is set by|r0|. In the two-body sector, the relative position of the two shallowS-wave poles in the complex plane is determined byξ. We investigate three identical bosons at leading order for a two-body system with one bound and one virtual state ...
We computed the radius by using graph distance as opposed to Euclidean distance to accommodate for non-linearity in the data. (B) CD8 and CD4 T cell archetypes were overlaid on a t-SNE plot of total T cells from Ctla4+/+ (green), Ctla4+/− (blue), and Ctla4−/− (red) mice...
This means that the lighter flavour-\overline{10} scalar diquark correlations are typically favoured in all J=1/2 baryon amplitudes because the Faddeev equations involve the diquark-amplitude-squared. As will become apparent, under certain circumstances, e.g. in baryons whose valence-quarks have...
This program tests the significance of all dichotomous pairs of clusters (comprising 4 or more strains) in a UPGMA generated dendrogram with squared Euclidean distances, or their complement, as a measurement. The program assumes that the clusters are hyperspherical. The critical overlap was set at ...