Adaptive Neighboring Selection Algorithm Based on Curvature Prediction in Manifold Learning

Recently manifold learning algorithm for dimensionality reduction attracts more and more interests, and various linear and nonlinear,global and local algorithms are proposed. The key step of manifold learning algorithm is the neighboring region selection. However,so far for the references we know,few of which propose a generally accepted algorithm to well select the neighboring region. So in this paper,we propose an adaptive neighboring selection algorithm,which successfully applies the LLE and ISOMAP algorithms in the test. It is an algorithm that can find the optimal K nearest neighbors of the data points on the manifold. And the theoretical basis of the algorithm is the approximated curvature of the data point on the manifold. Based on Riemann Geometry,Jacob matrix is a proper mathematical concept to predict the approximated curvature. By verifying the proposed algorithm on embedding Swiss roll from R3 to R2 based on LLE and ISOMAP algorithm,the simulation results show that the proposed adaptive neighboring selection algorithm is feasible and able to find the optimal value of K,making the residual variance relatively small and better visualization of the results. By quantitative analysis,the embedding quality measured by residual variance is increased 45. 45% after using the proposed algorithm in LLE.

Hemolytic assay for Huangqi Injection

Objective Huangqi Injection is a preparation with an extract of Astragali Radix which has a long history of being used as a tonic to strengthen the body＇s immunity. Anaphylaxis and hemolysis are two main adverse drug reaction （ADR） of injections. Our study was aimed to establish an approach for the （ADR） prediagnosis of Huangqi Injection. Methods An in vitro model for anaphylactoid assay of Huangqi Injection based on the release rate of histamine and 13-hexosaminidase of RBL-2H3 cells induced by injections and a colorimetric method based on the detection of hemoglobin resulted in the erythrocyte hemolysis for prediagnostic assaying the hemolytic ADR of injections were established. Results Both histamine and ^-hexosaminidase are the anaphylactiod mediators, but 13-hexosaminidase release induced by Huangqi Injection could not be determined by spectrophotometry due to the interference of the injection itself. In addition, normal hemolysis and abnormal hemolysis were discovered during the experiment. The fingerprints and tannins in different batches of injections showed obvious differences, indicating that the content of tannins was related to abnormal hemolysis and higher histamine-secreting from RBL-2H3 cells. Conclusion The results indicate that the hemolytic assaying method is not only suitable for prediagnostic assaying of hemolytic ADR of herbal medicine injection, but also partly reflects the anaphylaxis of herbal injections, and tannins may be the major factors causing abnormal hemolysis.