Titlebook: Metric Algebraic Geometry; Paul Breiding,Kathlén Kohn,Bernd Sturmfels Textbook‘‘‘‘‘‘‘‘ 2024 The Editor(s) (if applicable) and The Author(s

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Tensors,Tensors are generalizations of matrices. They can be viewed as tables of higher dimension. A 2 × 2-matrix is a table that contains four numbers aligned in two directions, and each direction has dimension 2. Similarly, a 2×2×2-tensor is a table with eight numbers aligned in three directions where each direction has dimension 2.

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Sampling,In this book, we studied the metric geometry of algebraic varieties from an applied and computational perspective. We now add probability theory into this mix. This chapter is about sampling from a real variety ..

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https://doi.org/10.1007/978-3-031-51462-3Algebraic Variety; Data Science; Differential Geometry; Euclidean Distance; Integrals; Maximum Likelihood

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Metric Algebraic Geometry978-3-031-51462-3Series ISSN 1661-237X Series E-ISSN 2296-5041

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Condition Numbers,ange for a small change in the input argument. In this chapter, we discuss condition numbers in the context of metric algebraic geometry. In the first section, we offer an introduction to the relevant notions for assessing errors in numerical computations.