Many applications, e.g. in control theory and optimization depend on time– consuming parameter studies of parametrized evolution equations. Reduced basis methods are an approach to reduce the computation time of numerical simulations for these problems. The methods have gained popularity for model reduction of different numerical schemes with remarkable results preferably for scalar and linear ...

Stochastic gradient descent (SGD) is a simple and very popular iterative method to solve stochastic optimization problems which arise in machine learning. A common practice is to return the average of the SGD iterates. While the utility of this is well-understood for general convex problems, the situation is much less clear for strongly convex problems (such as solving SVM). Although the standa...

AMA Luo Y, He Wang Xu Yang L. Adipose-derived mesenchymal stem cell exosomes ameliorate spinal cord injury in rats by activating the Nrf2/HO-1 pathway and regulating microglial polarization. Folia Neuropathologica. 2023. doi:10.5114/fn.2023.130455. APA Luo, Y., He, Wang, Xu, & Yang, (2023). https://doi.org/10.5114/fn.2023.130455 Chicago Yi, You-zhi Yong-fu Yu-xia Li Yang. "Adipose-derived polar...

we study entanglement and squeezing of a cluster of spin systems under the influence of the two-axis countertwisting hamiltonian. the squeezing parameters given by wineland et al and also by kitagawa et al. are chosen as the criteria of spin squeezing. the criterion of pairwise entanglement is chosen to be the concurrence and that of the bipartite entanglement the linear entropy. we also define...

In a multi-secret sharing scheme, several secret values are distributed among a set of n participants.In 2000 Chien et al.'s proposed a (t; n) multi-secret sharing scheme. Many storages and publicvalues required in Chien's scheme. Motivated by these concerns, some new (t; n) multi-secret sharingschemes are proposed in this paper based on the Lagrange interpolation formula for polynomials andcip...

The semi-Lagrangian method using the hybrid-cubic-rational interpolation function [M. Ida, Comput. Fluid Dyn. J. 10 (2001) 159] is modified to a conservative method by incorporating the concept discussed in [R. Tanaka et al., Comput. Phys. Commun. 126 (2000) 232]. In the method due to Tanaka et al., not only a physical quantity but also its integrated quantity within a computational cell are us...