The primal framework I

The Primal Framework I

The Primal Framework II: Smoothness

This is the second in a series of articles developing abstract classification theory for classes that have a notion of prime models over independent pairs and over chains. It deals with the problem of smoothness and establishing the existence and uniqueness of a ‘monster model’. We work here with a predicate for a canonically prime model. In a forthcoming paper, entitled, ‘Abstract classes with...

Ja n 19 90 The Primal Framework

A Universal Primal-Dual Convex Optimization Framework

In recent years, longitudinal data have become increasingly relevant in many applications, heightening interest in selecting the best longitudinal model to analyze them. Too often traditional practices rather than substantive theory guide the specific longitudinal model selected for the analysis. This opens the possibility that alternative models might better correspond to the data. In this reg...

Paging Problem With Primal - Dual Framework

We first consider a covering formulation for the problem. The LP is not strictly covering and it has box constraints (of the type xi ≤ 1), but as we shall see this will not cause any problems with the primal dual framework. For more on the PD method with box constraints we refer to [4] We first give some notation. Let pt denote the page requested at time t. Wlog we assume that the cache has pag...