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Dynamical Systems Perspective and Embedding

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Neural Networks and the Financial Markets

Part of the book series: Perspectives in Neural Computing ((PERSPECT.NEURAL))

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Abstract

The analysis of experimental time series for prediction based on a dynamical systems approach remains a challenging problem. A scalar time series x(t) ∈ ℜ can be considered to be a single component of a many-dimensional process of unknown dimension. In this chapter we adopt the working hypothesis that many classes of experimental time series may be analysed within the framework of a dynamical systems approach. We are assuming that the state of a system is given by a point 5 evolving in a multidimensional state space Γ. Then the motion of s in Γ characterises the dynamics of the system.

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© 2002 Springer-Verlag London

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Hazarika, N. (2002). Dynamical Systems Perspective and Embedding. In: Shadbolt, J., Taylor, J.G. (eds) Neural Networks and the Financial Markets. Perspectives in Neural Computing. Springer, London. https://doi.org/10.1007/978-1-4471-0151-2_13

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  • DOI: https://doi.org/10.1007/978-1-4471-0151-2_13

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-531-1

  • Online ISBN: 978-1-4471-0151-2

  • eBook Packages: Springer Book Archive

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