Scenario reduction revisited: fundamental limits and guarantees

Scenario Reduction Revisited: Fundamental Limits and Guarantees

The goal of scenario reduction is to approximate a given discrete distribution with another discrete distribution that has fewer atoms. We distinguish continuous scenario reduction, where the new atoms may be chosen freely, and discrete scenario reduction, where the new atoms must be chosen from among the existing ones. Using the Wasserstein distance as measure of proximity between distribution...

Energy Reduction and Fundamental Energy Limits in Digital VLSI Circuits

Fundamental Limits and Tradeo s of ProvidingDeterministic Guarantees to VBR Video

Compressed digital video is one of the most important traf-c types in future integrated services networks. However, a network service that supports delay-sensitive video imposes many problems since compressed video sources are variable bit rate (VBR) with a high degree of burstiness. In this paper, we consider a network service that can provide deterministic guarantees on the minimum throughput...

Valuing Government Guarantees Fannie and Freddie Revisited

Fundamental Limits and Practical Implementation

This chapter summarizes theoretically achievable gains and the construction of practical codes for user-cooperation. Most of these results relate to the relay channel, which is a three-terminal channel that captures the essence of usercooperation and serves as one of the primary building blocks for cooperation on a larger scale. In investigating the fundamental limits of relaying, we present in...