A comparison of different choices for the regularization parameter in inverse electrocardiography models

Calculating the potentials on the heart’s epicardial surface from the body surface potentials constitutes one form of inverse problems in electrocardiography (ECG). Since these problems are ill-posed, one approach is to use zero-order Tikhonov regularization, where the squared norms of both the residual and the solution are minimized, with a relative weight determined by the regularization parameter. In this paper, we used three different methods to choose the regularization parameter in the inverse solutions of ECG. The three methods include the L-curve, the generalized cross validation (GCV) and the discrepancy principle (DP). Among them, the GCV method has received less attention in solutions to ECG inverse problems than the other methods. Since the DP approach needs knowledge of norm of noises, we used a model function to estimate the noise. The performance of various methods was compared using a concentric sphere model and a real geometry heart-torso model with a distribution of current dipoles placed inside the heart model as the source. Gaussian measurement noises were added to the body surface potentials. The results show that the three methods all produce good inverse solutions with little noise; but, as the noise increases, the DP approach produces better results than the L-curve and GCV methods, particularly in the real geometry model. Both the GCV and L-curve methods perform well in low to medium noise situations.

A Research Agenda for Strategic Management Research in Developing Countries

This paper explores the extent to which it is possible to address issues pertaining to developing countries with significant socio-cultural and political interventions. Examples from the Sri Lankan tea plantations are used to illustrate the necessity to understand the context from actors’ perspectives using rigorous case study research, before making prescriptive recommendations. Current problems faced by the Sri Lankan tea industry are identified as not merely micro-institutional or managerial. We argue that their roots lie in reproduction of social struggles at the level of production. We propose a research agenda, in the doctrine of critical theory, for exploring the formation and implementation of business strategies in developing countries, using the tea plantation sector as a case. Our primary attempt here is to conceptualize strategic management in the context of political economy and to identify central issues to be addressed. Accordingly, we argue that researching historical dynamics of strategic management facilitates understanding and interpreting the articulation of modes of production in a given social formation. We further argue that a highly context specific research agenda is required to fully comprehend idiosyncratic characteristics of Sri Lankan strategy structures and organizational forms. Then, it is proposed that explaining the role of social formation in shaping and reshaping strategy relations should be at the centre of the research due to the social significance attached to ‘strategy’. Finally, methodological and epistemological necessities arising from the nature of strategy relationships are discussed.