Some Nonlinear Inference Problems

Giorgio Picci
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Giorgio Picci: University of Padua, Department of Information Engineering

Chapter 8 in An Introduction to Statistical Data Science, 2024, pp 307-344 from Springer

Abstract: 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.

Date: 2024
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DOI: 10.1007/978-3-031-66619-3_8

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