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Some Nonlinear Inference Problems

In: An Introduction to Statistical Data Science

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  • Giorgio Picci

    (University of Padua, Department of Information Engineering)

Abstract

In this chapter we discuss several non-linear inference problems. One issue that we shall very briefly discuss in the beginning is direction estimation, which is for example relevant to scene and motion reconstruction in computer vision. A geometric formulation points to a generalization to spherical manifolds of the familiar Gaussian inference on linear-spaces. Next we discuss in some detail non-linear support vector machines which is a very important subject with many potential applications. Finally we present a critical view of Neural Networks a widespread non-linear inference tool which seems to have become the exclusive basic subject of statistical learning.

Suggested Citation

  • Giorgio Picci, 2024. "Some Nonlinear Inference Problems," Springer Books, in: An Introduction to Statistical Data Science, chapter 8, pages 307-344, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-66619-3_8
    DOI: 10.1007/978-3-031-66619-3_8
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