Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time series is still an open problem. Here we propose a two-step strategy to tackle this problem based on the concept of distance (metric) between networks. Given a m...

In a normed linear space X, consider a nonempty closed set K which has the property that for some r > 0 there exists a set of points xo € X\K, d(xoK) > r, which have closest points p(xo) € K and where the set of points xo — r((xo — p(xo))/\\xo — p(zo)||) is dense in X\K. If the norm has sufficiently strong differentiability properties, then the distance function d generated by K has similar dif...

Abstract. Let M be a closed linear subspace of a normed linear space X. For a given f ∈ X denote by PM f the set of best approximations to f from M . The operator PM is termed the metric projection onto M . In this paper we are interested in the stability of the metric projection PM relative to perturbations of the subspace M . We mainly consider the case where X = Lp, p ∈ [1,∞]. We consider a ...

In this paper we consider a CDMA system with error-control coding. Optimal joint decoding is prohibitively complex. Instead, we propose a sequential approach for handling multiple-access interference and error-control decoding. Error-control decoding is implemented via single-user soft-input decoders utilizing metrics generated by linear algebraic multiuser metric generators. The decorrelator, ...

Metric rectification method is to restore an image from a single camera-captured document image. This method construct an isometric image mesh technique by exploiting the geometry of page surface and camera. It uses a general cylindrical surface (GCS) to model the curved page shape. It introduce a paraperspective projection to approximate the nonlinear perspective projection. A set of close-for...

| In this paper we consider a CDMA system with error control coding. Optimal joint decoding is prohibitively complex. Instead we propose a sequential approach for handling the multiple access interference and the error control decoding. The error control decoding is implemented via single user soft{input decoders utilising metrics generated by linear algebraic multiuser metric generators. The d...