Optimal embedding parameters: A modelling paradigm

Reconstruction of a dynamical system from a time series requires the selection of two parameters, the embedding dimension $d_e$ and the embedding lag $\tau$. Many competing criteria to select these parameters exist, and all are heuristic. Within the context of modeling the evolution operator of the underlying dynamical system, we show that one only need be concerned with the product $d_e\tau$. We introduce an information theoretic criteria for the optimal selection of the embedding window $d_w=d_e\tau$. For infinitely long time series this method is equivalent to selecting the embedding lag that minimises the nonlinear model prediction error. For short and noisy time series we find that the results of this new algorithm are data dependent and superior to estimation of embedding parameters with the standard techniques

Masters of Healing: Cocaine and the Ideal of the Victorian Medical Man

This article offers a new perspective on the relationship between cocaine and medical practitioners in late-nineteenth and early-twentieth century Britain. Cocaine is often understood as one of a number of potentially addictive substances to which Victorian physicians and surgeons were regularly exposed, and tempted to indulge in. However, while cocaine has frequently been associated with discourses of addiction, this article proposes that it was also widely represented as a technological triumph, and that the drug was frequently used as a symbol for the scientific and moral virtues of the medical man himself. The argument draws on popular journalism, medical publications, and fiction to establish the cultural context of cocaine at the fin-de-siècle. In 1884, cocaine was revealed to be the first effective local anaesthetic, and this article traces the processes by which cocaine came to be regarded as the iconic achievement of nineteenth-century therapeutic science. This aura of innovative brilliance in turn communicated itself to the medical professionals who employed cocaine in their work, so that many patients and practitioners alike depicted cocaine as most fitting emblem for the idealised selfhood of the modern medical man. This idea also informs portrayals of the drug in fiction, and I conclude with a detailed analysis of L. T. Meade’s 1895 short story, ‘The Red Bracelet,’ (published in The Strand Magazine as part of Meade’s series, ‘Stories from the Diary of a Doctor’) as an example of the way in which cocaine functions as metaphor for the physician’s unassailable moral primacy, as well as his aesculapian exceptionalism

Early diagnosis of Alzheimer's disease: update on combining genetic and brain-imaging measures.

Diagnosis of Alzheimer's disease is often missed or delayed in clinical practice; thus, methods to improve early detection would provide opportunities for early intervention, symptomatic treatment, and improved patient function. Emerging data suggest that the disease process begins years before clinical diagnostic confirmation. This paper reviews current research focusing on methods for more specific and sensitive early detection using measures of genetic risk for Alzheimer's disease and functional brain imaging. This approach aims to identify patients in a presymptomatic stage for early treatment to delay progressive cognitive decline and disease onset

Minimal Surfaces from Monopoles

The geometry of minimal surfaces generated by charge 2 Bogomolny monopoles on 3-dimensional Euclidean space is described in terms of the moduli parameter k. We find that the distribution of Gaussian curvature on the surface reflects the monopole structure. This is elucidated by the behaviour of the Gauss maps of the minimal surfaces.Comment: 23 pages, 2 figure

Basic Action and Practical Knowledge

It is a commonplace in philosophy of action that there is and must be teleologically basic action: something done on an occasion without doing it by means of doing anything else. It is widely believed that basic actions are exercises of skill. As the source of the need for basic action is the structure of practical reasoning, this yields a conception of skill and practical reasoning as complementary but mutually exclusive. On this view, practical reasoning and complex intentional action depend on skill and basic action, but the latter pair are not themselves rationally structured: the movements a basic action comprises are not intentional actions, and they are not structured as means to an end. However, Michael Thompson and Douglas Lavin have argued that action that bears no inner rational structure is not intentional action at all, and that therefore there can be no such thing as basic action. In this paper, I argue that their critique shows that standard conceptions of basic action are indeed untenable, but not that we can do without an alternative. I develop an alternative conception of skill and basic action on which their basicness is not to be equated with simplicity: like deliberation and non-basic action, they are teleologically complex, but their complexity takes a different form. On this view, skill contrasts with deliberation—not because it is not a manifestation of practical reason, but because the two are specifically different manifestations of practical reason