This paper discusses cake-cutting protocols when the cake is a heterogeneous good, represented by an interval on the real line. We propose a new desirable property, the meta-envy-freeness of cake-cutting, which has not been formally considered before. Meta-envy-free means there is no envy on role assignments, that is, no party wants to exchange his/her role in the protocol with the one of any o...

This paper presents a new method for learning overcomplete dictionaries adapted to efficient joint representation of stereo images. We first formulate a sparse stereo image model where the multi-view correlation is described by local geometric transforms of dictionary atoms in two stereo views. A maximum-likelihood method for learning stereo dictionaries is then proposed, which includes a multi...

This paper presents an efficient method for the estimation and recovering from nonlinear or local geometrical distortions, such as the random bending attack and restricted projective transforms. The distortions are modeled as a set of local affine transforms, the watermark being repeatedly allocated into small blocks in order to ensure its locality. The estimation of the affine transform parame...

Based on the general inner-outer (GIO) iteration method [5,34] and framework [6], we present a multi-step matrix splitting (GMMS) for computing PageRank, analyze its overall convergence property. Moreover, same idea can be used as preconditioning technique accelerating Krylov subspace methods, such GMRES method. Finally, several numerical examples are given to illustrate effectiveness of propos...

This paper proposes a new approach in multi-step sequential system optimization (MSSO) to implement conceptual design for satellite upper stage with maneuver the conditions close reality. In this method of design, there are two main cycles; trajectory cycle and optimal cycle, each one is correlated other another called configuration. optimization, objective place destination orbit, using minimu...

Discrete Hartley transform (DHT) is an important tool in digital signal processing. In this paper, a multilierless algorithm to compute discrete Hartley transforms is proposed, which can deal with arbitrary length input signals. The proposed algorithm can be implemented by integer additions of fixed points in binary system. Besides, an efficient and regular systolic array is designed to impleme...

The Lévy Libor or market model which was introduced in Eberlein and Özkan (2005) is extended to a multi-currency setting. As an application we derive closed form pricing formulas for cross-currency derivatives. Foreign caps and floors and cross-currency swaps are studied in detail. Numerically efficient pricing algorithms based on bilateral Laplace transforms are derived. A calibration example ...

We present an efficient numerical methodology for the 3D computation of incompressible multi-phase flows described by conservative phase field models. We focus here on the case of density matched fluids with different viscosity (Model H). The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level...