Slepian-Wolf Coding for Broadcasting with Cooperative Base-Stations

We propose a base-station (BS) cooperation model for broadcasting a discrete memoryless source in a cellular or heterogeneous network. The model allows the receivers to use helper BSs to improve network performance, and it permits the receivers to have prior side information about the source. We establish the model's information-theoretic limits in two operational modes: In Mode 1, the helper BSs are given information about the channel codeword transmitted by the main BS, and in Mode 2 they are provided correlated side information about the source. Optimal codes for Mode 1 use \emph{hash-and-forward coding} at the helper BSs; while, in Mode 2, optimal codes use source codes from Wyner's \emph{helper source-coding problem} at the helper BSs. We prove the optimality of both approaches by way of a new list-decoding generalisation of [8, Thm. 6], and, in doing so, show an operational duality between Modes 1 and 2.Comment: 16 pages, 1 figur

Fast orthogonal least squares algorithm for efficient subset model selection

Abstract-An efficient implementation of the orthogonal least squares algorithm for subset model selection is derived in this correspondence. Computational complexity of the algorithm is examined and the result shows that this new fast orthogonal least squares algorithm significantly reduces computational requirements. This error reduction ratio provides a criterion for forward subset selection. At the beginning of the 11th stage of the selection procedure, X has been transformed into X”’- ” = [WI... wI,- I xj,’-’)... x::;-’)] and y into y(/’-’), The 11th stage consists of i) For p 5 j 5.If, compute ii) 1

Gifts, Bequests and Growth

A familiar result in the theory of private intergenerational transfers is that competitive equilibria with gifts from children to their parents are dynamically inefficient whereas they are dynamically efficient with bequests from parents to their children. This note demonstrates that if growth is endogenous, both gift and bequest economies are dynamically efficient, but gift economies grow more rapidly.Altruism, Dynamic Efficiency, Endogenous Growth

Pareto-improving intergenerational transfers

In the presence of endogenous growth intergenerational transfer from the young to the old reduce per capita income growth and harm future generations. On the other hand, competitive equilibria are inefficient if externalities sustain long-run growth. This paper shows that if individuals retire in the last period of their life, the inefficiency of the market economy can be removed by an investment subsidy without making the current or future generations worse off only if coupled with intergenerational transfers from the young to the old.Intergenerational transfers, Externalities, Endogenous growth