Artificial Intelligence Foundations by Andrew Lowe;Steve Lawless;

Author:Andrew Lowe;Steve Lawless;
Language: eng
Format: epub
Publisher: Book Network Int'l Limited trading as NBN International (NBNi)
Published: 2021-11-15T00:00:00+00:00

Figure 4.11 Uniform and Gaussian probability density functions of continuous data (reproduced from: (top) https://en.wikipedia.org/wiki/Uniform_distribution_(continuous)#/

media/File:Uniform_Distribution_PDF_SVG.svg; (bottom) https://commons.wikimedia.org/wiki/File:Normal_Distribution_PDF.svg under Wikimedia Commons licence)

The case study in this section gives an integrated example of how vector calculus, linear algebra and probability and statistics are used at a scientific level. Vector calculus allowed us to understand the fundamental phenomena mathematically; the linear algebra allowed us to build a simulation (we might think of this as a digital twin) and generate data; and probability and statistics allowed us to generate and understand the complex non-linear nature of the data we had generated. In an AI project we might not have such tight control of the data generation, as we might have data from the real world.

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