Tensor data with rich structural information become increasingly important in process modeling, monitoring, and diagnosis manufacturing medical other applications. Here is referred to the of tensor components such as sparsity, smoothness, low-rank, piecewise constancy. To reveal useful from data, we propose decompose into summation multiple based on their different information. In this article,...

Attempts to synthesize solvent-free MgB12H12 by heating various solvated forms (H2O, NH3, and CH3OH) of the salt failed because of the competition between desolvation and dehydrogenation. This competition has been studied by thermogravimetric analysis (TGA) and temperature-programmed desorption (TPD). Products were characterized by IR, solution- and solid-state NMR spectroscopy, elemental analy...

In this paper we analyze the Computational System as described in the Minimalist Program in a multimodal Categorial Grammar (=MMCG) framework. We can define the basic minimalist operations, such as feature checking, MERGE and MOVE using the internal logical and structural reasoning facilities of the categorial system. However, we will show how the analysis of the minimalist MOVE operation in a ...

We propose four new structural decomposition techniques for Constraint Satisfaction Problems. We compare these four techniques both theoretically and experimentally with hinge decomposition and hypertree decomposition. Our experiments show that one of our techniques offers the best trade-off between the computational cost of the decomposition and the width of the resulting decomposition tree.

This paper applies the Sobol’ decomposition of a function of many random variables to a problem in structural mechanics, namely the collapse of a two story two bay frame under gravity load. Prior to introduction of this example application, the Sobol’ decomposition itself is reviewed and extended to cover the case in which the input random variables have Gaussian distribution. Then, an illustra...