11,678 research outputs found

    Seeing Through the Invisible Pink Unicorn

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    This paper explores the quasi-religious aspects of the Invisible Pink Unicorn (IPU), an internet based spoof of religion. IPU message boards situate a moral orientation in an ongoing interactional process that sacralizes parody and an idealized form of “free thinking.” We employ content analysis and grounded theory to argue that IPU writers’ parody of religion serves as a ritual act and conclude our discussion by considering the implications of the findings for the literature on ritual

    Convergence Analysis of Ensemble Kalman Inversion: The Linear, Noisy Case

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    We present an analysis of ensemble Kalman inversion, based on the continuous time limit of the algorithm. The analysis of the dynamical behaviour of the ensemble allows us to establish well-posedness and convergence results for a fixed ensemble size. We will build on the results presented in [26] and generalise them to the case of noisy observational data, in particular the influence of the noise on the convergence will be investigated, both theoretically and numerically. We focus on linear inverse problems where a very complete theoretical analysis is possible

    Analysis of the ensemble Kalman filter for inverse problems

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    The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences, and its gradual adoption in many other areas of application, analysis of the method is in its infancy. Furthermore, much of the existing analysis deals with the large ensemble limit, far from the regime in which the method is typically used. The goal of this paper is to analyze the method when applied to inverse problems with fixed ensemble size. A continuous-time limit is derived and the long-time behavior of the resulting dynamical system is studied. Most of the rigorous analysis is confined to the linear forward problem, where we demonstrate that the continuous time limit of the EnKF corresponds to a set of gradient flows for the data misfit in each ensemble member, coupled through a common pre-conditioner which is the empirical covariance matrix of the ensemble. Numerical results demonstrate that the conclusions of the analysis extend beyond the linear inverse problem setting. Numerical experiments are also given which demonstrate the benefits of various extensions of the basic methodology

    What Have We Learned From Emissions Trading Experiments?

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    Emissions trading is a form of environmental regulation in which a regulatory body specifies the total allowable discharge of pollutants, divides this cap into individual permits assigned to individual polluters, and allows trading of the resulting permits. Laboratory experiments, in which paid subjects participate in controlled markets, can be used to test both proposals for emission trading and the theories on which they are based. This paper surveys the laboratory research that has investigated the efficiency of emission trading programs, role of alternative instruments and institutions, the effects of allowing firms to carry inventories of permits, and the extent to which market power can be exercised.
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