We propose a difference-based nonparametric methodology for the estimation and inference of time-varying auto-covariance functions locally stationary time series when it is contaminated by complex trend with both abrupt smooth changes. Simultaneous confidence bands (SCB) asymptotically correct coverage probabilities are constructed under trend. A simulation-assisted bootstrapping method propose...

In this work we present a framework of automatic non-photorealistic image processing techniques that create simplified stylistic illustrations from color images, videos and 3D renderings. To smooth low-contrast regions while preserving edges, we present a new fast separated implementation of the bilateral filter. Our approach works by filtering in direction of the gradient and then filtering th...

The centrality of stations is one the most important issues in urban transit systems. central such networks have often been identified using network to-pological measures. In real networks, passenger flows arise from an interplay between dynamics individual person movements and underlying physical structure. this paper, we apply a two-layered model to identify Beijing Subway System, which lower...

We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an appropriate generalized binomial coefficient. We prove that the face numbers of the barycentric subdivision of the free join of two CW -complexes may be found by multiplying the Stirling polynomials of the barycentric sub...

Wireless networks have been deployed widely in recent years. The performance features such as fairness and efficiency of MAC protocols would affect that in upper layer. We propose two modifications to a MAC protocol proposed in [14], so that the new protocol could achieve AIMD on controlling each station’s throughput directly. We use stochastic linear difference equation to study the throughput...