This article is concerned with the numerical solution of subspace optimization problems, consisting minimizing a smooth functional over set orthogonal projectors fixed rank. Such problems are encountered in particular electronic structure calculation (Hartree--Fock and Kohn--Sham density theory models). We compare from analysis perspective two simple representatives, damped self-consistent fiel...

the method of entropy production minimization for finding energy efficient paths of operation of process equipment is first presented using an instructive example with optimal control theory. with refer-ence to the earlier investigations, the researchers present some design rules that relate to the designs’ en-tropy production. minimum entropy production is not obtained in special cases, not ge...

and Applied Analysis 3 Proposition 5. If the minimization (14) is consistent, then the strong lim ε→0 ω ε exists and is the minimum-norm solution of the minimization (14). Proof. For any ω ∈ Γ, we have

Background and Objectives: Hospitals usually generate large amounts of hazardous waste. If not managed properly, hospital waste can pose threats to public safety and damage the environment. Waste minimization is a waste management approach that focuses on reducing the amount and toxicity of hazardous wastes. This study pursues a two-fold purpose: 1) to gain insight into hospital waste minimizat...

We consider the Bellman residual minimization approach for solving discounted Markov decision problems, where we assume that a generative model of the dynamics and rewards is available. At each policy iteration step, an approximation of the value function for the current policy is obtained by minimizing an empirical Bellman residual defined on a set of n states drawn i.i.d. from a distribution ...

In this paper we attempt at understanding how to build an optimal approximate normal factor analysis model. The criterion we have chosen to evaluate the distance between different models is the I-divergence between the corresponding normal laws. The algorithm that we propose for the construction of the best approximation is of an the alternating minimization kind. Institute of Biomedical Engine...

This paper presents a new algorithm for the independent components analysis (ICA) problem based on efficient entropy estimates. Like many previous methods, this algorithm directly minimizes the measure of departure from independence according to the estimated Kullback-Leibler divergence between the joint distribution and the product of the marginal distributions. We pair this approach with effi...

Four different types of evaluation methods, cost-benefit analysis (CBA), cost-utility analysis (CUA), cost-effectiveness analysis (CEA) and cost-minimization analysis (CMA), are usually distinguished. In this note, we pronounce the (near) death of CMA by showing the rare circumstances under which CMA is an appropriate method of analysis. We argue that it is inappropriate for separate and sequen...