Hans Knutsson, Carl-Fredrik Westin, and Mats Andersson, "Representing local structure using tensors II," in Image Anal- ysis, vol. 6688, pp. 545-556. Springer, 2011.Knutsson, H., Westin, C.F., Andersson, M., 2011. Representing local structure using tensors II. In: Proceedings of...
Tiwari, D., Tyagi, V.: Dynamic texture recognition using multiresolution edge-weighted local structure pattern. Comput. Electr. Eng.62, 485–498 (2017) Zhang, B., Gao, Y., Zhao, S., Liu, J.: Local derivative pattern versus local binary pattern: face recognition with high-order local p...
where we have the second rank conductivity tensors \({\textsf{G}}_{i}\) and \({\textsf{G}}_{e}\) in the myocyte and extracellular domain, respectively, and the scalar electric potentials of each phase are \(\phi _i\) and \(\phi _e\). We also have the membrane parameters: ...
To further explore the effect of high-order dependency between features on decoding, we varied the degree oft-way interaction in WCMI using different values oft(Figure 2C). WI is a special case of WCMI witht= 1, where there is no high-order interaction considered. With largertas 2, 4,...
rank-one decomposition of these tensors. The initial values of the algorithm were random numbers from interval [−1, +1]. We started the algorithm from ten different starting points to avoid getting stuck in a local minima. Figures 1 and 2 illustrate the convergence using three sample ru...
score((u,s),(v,t))=−α(s−t)d(u,v). (11) A point closer to the top of the cone is higher in the hierarchy, which is natural for representing hierarchical structure. 2.5. Using Pre-Trained Model for Computational Efficiency and Adaptivity for Adding Hierarchical Information ...
Therefore, we update the parameters by using an exponential map instead of the sum: u ← expu(−η∇uR L(u)). (3) With the metric tensor of the embedding space as gu(u ∈ V), the gradient on the Riemannian manifold ∇uR L(u) is the scaled gradient in Euclidean space: ∇...
SeeCytoMLpackage for the example of usingcytolib. System requirement cmake g++ (>=4.9) or clang++(>= 7.0.1) libblas, liblapack, ZLIB, boost c++ library protobuf c++ library (>= 3.10) Installation #enter your project directory$cdcytolib#it is always a good idea to not pollute the sou...
A number of studies on learning Bayesian networks have emphasized the importance of exploiting regularities in conditional probability distributions, i.e., local structure. In this paper, we encode local structures as linear combinations of Boolean functions. By using Lasso, we can simultaneously ...
local turbulence structurerandom homogeneous incompressible turbulent velocity fieldisotropic incompressible turbulent velocity fieldGaussian fieldmodified Biot-Savart lawnonlinear transformation methodWe propose a method to build up a random homogeneous, isotropic and incompressible turbulent velocity field that ...