Refinements of Aczél-Type Inequality and Their Applications

We present some new sharpened versions of Aczél-type inequality. Moreover, as applications, some refinements of integral type of Aczél-type inequality are given

Inverse Projection Representation and Category Contribution Rate for Robust Tumor Recognition

Sparse representation based classification (SRC) methods have achieved remarkable results. SRC, however, still suffer from requiring enough training samples, insufficient use of test samples and instability of representation. In this paper, a stable inverse projection representation based classification (IPRC) is presented to tackle these problems by effectively using test samples. An IPR is firstly proposed and its feasibility and stability are analyzed. A classification criterion named category contribution rate is constructed to match the IPR and complete classification. Moreover, a statistical measure is introduced to quantify the stability of representation-based classification methods. Based on the IPRC technique, a robust tumor recognition framework is presented by interpreting microarray gene expression data, where a two-stage hybrid gene selection method is introduced to select informative genes. Finally, the functional analysis of candidate's pathogenicity-related genes is given. Extensive experiments on six public tumor microarray gene expression datasets demonstrate the proposed technique is competitive with state-of-the-art methods.Comment: 14 pages, 19 figures, 10 table

Connection problem of the first Painlev\'{e} transcendents with large initial data

In previous work, Bender and Komijani (2015 J. Phys. A: Math. Theor. 48 475202) showed that the separatrix solutions to the first Painlev\'e (PI) equations are determined by a $\mathcal{PT}$-symmetric Hamiltonian, and a sequence of initial conditions give rise to separatrix solutions. In the present work, we consider the initial value problem of the PI equation in a more general setting and show that the initial conditions $y(0)$ and $y'(0)$ located on a sequence of curves $\Gamma_n$, $n=1,2,\dots$, will give rise to separatrix solutions, and we find the limiting form equation of the curves $\Gamma_{n}$ as $n\to\infty$. These curves separate the singular solutions and oscillating solutions of PI. Our analytical asymptotic formula of $\Gamma_n$ match the numerical results remarkably well, even for small $n$.Comment: 27 pages, 4 figure

Modeling Government Credit Information Systems Diffusion in China: A System Dynamics Approach

This paper examines the usage and diffusion of Government Credit Information Systems (GCIS) in district-level governments in shanghai. The diffusion of GCIS was studied from a process-oriented perspective. A System Dynamics (SD) model is developed to simulate the relationships of technological, organizational and environmental, and institutional factors on GCIS diffusion under different management policies. A holistic view on the feedback loops, the consequently nonlinear behavior pattern of GCIS usage, and its diffusion in Shanghai government agencies is examined. Our research model and results suggest that workload faced by GCIS users and the tolerable maximum workload have a high impact on GCIS usage, task volume brought by GCIS, work pressure and the perception of technological factors. Different combination of work intensity and the tolerable maximum work intensity significantly influence the system usage. The contribution of our study lies in revealing that the diffusion of GCIS requires a systematic consideration of the business development plan, the GCIS user\u27s workload and the organization\u27s business environment. Flexible managerial incentive strategy will enhance user\u27s work efficiency, thus lead to effective diffusion of GCIS in organizations. The theoretical and practical implications of this study are discussed

Optimal View Angle in Collective Dynamics of Self-propelled Agents

We study a system of self-propelled agents in which each agent has a part of omnidirectional or panoramic view of its sensor disc, the field of vision of the agent in this case is only a sector of a disc bounded by two radii and the included arc. The inclination of these two radii is characterized as the view angle. Contrary to our intuition, we find that, the non-omnidirectional-view for swarm agents with periodic boundary conditions in noiseless Vicsek model can accelerate the transient process of the emergence of the ordered state. One consequent implication is that, there are generally superfluous communications in the Vicsek Model, which may even obstruct the possible fast swarm emergence. This phenomenon may invoke further efforts and attentions to explore the underlying mechanism of the emergence in self-propelled agents.Comment: 4 pages, 6 figure