A Hyperplane Clustering Algorithm for Estimating the Mixing Matrix in Sparse Component Analysis

The method of sparse component analysis in general has two steps: the first step is to identify the mixing matrix A in the linear model X=AS , and the second step is to recover the sources S . To improve the first step, we propose a novel hyperplane clustering algorithm under some sparsity assumptions of the latent components S . We apply an existing clustering function with some modifications to detect the normal vectors of the hyperplanes concentrated by observed data X , then those normal vectors are clustered to identify the mixing matrix A . An adaptive gradient method is developed to optimize the clustering function. The experimental results indicate that our algorithm is faster and more effective than the existing algorithms. Moreover, our algorithm is robust to the insufficient sparse sources, and can be used in a sparser source assumption

Study on Serviceability of Transition Section Between Road and Tunnel

The determination of allowable differential settlement in bridge transition is a key problem to prevent vehicle jump at bridge head, but there are few theoretical research achievements in this aspect atroduction home and abroad. In this paper, four different structures of the road surface of The Sanyangchuan tunnel and the lead project are studied. The allowable differential settlement of asphalt pavement is calculated by asphalt pavement-layer system, and the allowable differential settlement is calculated by Ladan Lasse transform

Investigation of the bonding properties of bitumen using a novel modified binder bond strength test

The binder bond strength (BBS) test can directly quantify the bonding of bitumen-stone joints. However, the index "bond strength" used in this method cannot provide a clear distinction when evaluating the performance of various bitumen, and some results do not correspond to the field feedback related to the bonding performance. This study introduces a novel modified BBS test using the universal testing machine (UTM). The results of the standard BBS test and the BBS-UTM test on six unmodified bitumens and a styrene-butadiene-styrene modified bitumen (SBSMB) are compared, with the Cantabro loss test to validate the accuracy of the BBS-UTM test. The results show that the "bond energy" can be considered the critical indicator for characterising the bonding performance of different binders. The force-displacement curve in the BBS-UTM test is analysed and provides a mechanistic explanation for the mechanical response of bitumen during pull-off. The four-component test is conducted to link the bitumen composition characteristics to its bonding performance. It is found that bitumen adhesion is correlated to the content of asphaltenes. A higher saturates content shows more contribution of tenacity in the total bond energy, and an excessively high ratio of asphaltenes to resins may result in low bond energy