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Titlebook: Statistical Learning with Math and Python; 100 Exercises for Bu Joe Suzuki Textbook 2021 The Editor(s) (if applicable) and The Author(s), u

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Information Criteria,ree laws. In other words, as long as it is a law of science, it must not only be able to explain phenomena (fitness), but it must also be simple (simplicity). In this chapter, we will learn how to derive and apply the AIC and BIC, which evaluate statistical models of data and balance fitness and simplicity.
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Unsupervised Learning,ch information. We also consider the principal component analysis (PCA), a data analysis method that is often used for machine learning and multivariate analysis. For PCA, we consider another equivalent definition along with its mathematical meaning.
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Textbook 2021This textbook approaches the essence of machine learning and data science by considering math problems and building Python programs...As the preliminary part, Chapter 1 provides a concise introduction to linear algebra, which will help novices read further to the following main chapters. Those succe
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Linear Algebra,, vector spaces and their dimensions, eigenvalues and eigenvectors, orthonormal bases and orthogonal matrices, and diagonalizing symmetric matrices. In this book, to understand the essence concisely, we define ranks and determinants based on the notion of Gaussian elimination and consider linear spa
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Classification, 0, 1, ⋯ , 9. For example, we wish to classify a postal code from handwritten characters and to make a rule between them. First, we consider logistic regression to minimize the error rate in the test data after constructing a classifier based on the training data. The second approach is to draw bord
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Resampling,statistical model to fit the data. However, we do not know whether the estimation result shows a satisfactory (prediction) performance for new data different from those used for the estimation. For example, in the forecasting of stock prices, even if the price movements up to yesterday are analyzed
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Information Criteria,finding rules from observational data is not limited to data science and statistics. However, many scientific discoveries are born through such processes. For example, the writing of the theory of elliptical orbits, the law of constant area velocity, and the rule of harmony in the theory of planetar
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