{"product_id":"fundamentals-of-probability-and-statistics-for-machine-learning-isbn-9780262049818","title":"Fundamentals of Probability and Statistics for Machine Learning","description":"\u003cb\u003eAn introductory textbook for undergraduate or beginning graduate students that integrates probability and statistics with their applications in machine learning.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003eMost curricula have students take an undergraduate course on probability and statistics before turning to machine learning. In this innovative textbook, Ethem Alpaydın offers an alternative tack by integrating these subjects for a first course on learning from data. Alpaydın accessibly connects machine learning to its roots in probability and statistics, starting with the basics of random experiments and probabilities and eventually moving to complex topics such as artificial neural networks. With a practical emphasis and learn-by-doing approach, this unique text offers comprehensive coverage of the elements fundamental to an empirical understanding of machine learning in a data science context.\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eConsolidates foundational knowledge and key techniques needed for modern data science\u003c\/li\u003e\n\u003cli\u003eCovers mathematical fundamentals of probability and statistics and ML basics\u003c\/li\u003e\n\u003cli\u003eEmphasizes hands-on learning\u003c\/li\u003e\n\u003cli\u003eSuits undergraduates as well as self-learners with basic programming experience\u003c\/li\u003e\n\u003cli\u003eIncludes slides, solutions, and code\u003c\/li\u003e\n\u003c\/ul\u003eContents\u003cbr\u003ePreface v\u003cbr\u003e1 Introduction 1\u003cbr\u003e1.1 What Is Learning From Data ? 1\u003cbr\u003e1.2 Types of Learning 7\u003cbr\u003e1.3 Relationship to Statistics, Data Science, and Artificial Intelligence 12\u003cbr\u003e1.4 Social, Ethical, and Legal Aspects 13\u003cbr\u003e1.5 Notes 14\u003cbr\u003e1.6 Exercises 15\u003cbr\u003e2 Random Experiments and Probabilities 17\u003cbr\u003e2.1 Random Events 17\u003cbr\u003e2.2 What Is A Probability ? 18\u003cbr\u003e2.3 Equally-Likely Events 19\u003cbr\u003e2.4 Principles of Counting 21\u003cbr\u003e2.5 Some Events May Be More Equal Than Others 24\u003cbr\u003e2.6 The Additive Rule 24\u003cbr\u003e2.7 Random Variables and Probability Distributions 25\u003cbr\u003e2.8 Joint Probability Distribution of Two Random Variables 34\u003cbr\u003e2.9 Conditional Probabilities 35\u003cbr\u003e2.10 Bayes’ Rule 41\u003cbr\u003e2.11 Graphical Models 43\u003cbr\u003e2.12 Notes 56\u003cbr\u003e2.13 Exercises 57\u003cbr\u003e3 Probability Distributions 63\u003cbr\u003e3.1 Expected Value 63\u003cbr\u003e3.2 Variance 67\u003cbr\u003e3.3 Covariance, Correlation, and Independence 70\u003cbr\u003e3.4 Russian Inequalities 73\u003cbr\u003e3.5 Programming Probability Distributions 75\u003cbr\u003e3.6 Discrete Probability Distributions 76\u003cbr\u003e3.7 Continuous Probability Distributions 85\u003cbr\u003e3.8 Mixtures of Distributions 101\u003cbr\u003e3.9 Generalized Distributions 105\u003cbr\u003e3.10 Distributions of Two Random Variables 107\u003cbr\u003e3.11 Exercises 114\u003cbr\u003e4 Sampling and Estimation 121\u003cbr\u003e4.1 Population vs. Sample 121\u003cbr\u003e4.2 Sample Statistics 123\u003cbr\u003e4.3 Maximum Likelihood Estimation 125\u003cbr\u003e4.4 Bias and Variance 128\u003cbr\u003e4.5 Knowledge Extraction 132\u003cbr\u003e4.6 Prediction 133\u003cbr\u003e4.7 Sampling Distributions 137\u003cbr\u003e4.8 Interval Estimation 142\u003cbr\u003e4.9 Nonparametric Estimation 152\u003cbr\u003e4.10 Monte Carlo Methods 156\u003cbr\u003e4.11 Bootstrapping 159\u003cbr\u003e4.12 Notes 163\u003cbr\u003e4.13 Exercises 163\u003cbr\u003e5 Hypothesis Testing 171\u003cbr\u003e5.1 Basic Definitions 171\u003cbr\u003e5.2 Tests on the Mean of a Population 172\u003cbr\u003e5.3 Tests on the Proportion of a Bernoulli Population 186\u003cbr\u003e5.4 Tests on the Variance of a Normal Population 189\u003cbr\u003e5.5 Comparing the Parameters of Two Populations 191\u003cbr\u003e5.6 Comparing Many Populations: Analysis of Variance 197\u003cbr\u003e5.7 Design of Experiments 201\u003cbr\u003e5.8 Goodness of Fit Tests 204\u003cbr\u003e5.9 Nonparametric Tests 207\u003cbr\u003e5.10 Notes 210\u003cbr\u003e5.11 Exercises 210\u003cbr\u003e6 Multivariate Models 215\u003cbr\u003e6.1 Multivariate Data 215\u003cbr\u003e6.2 Multivariate Modeling 220\u003cbr\u003e6.3 Multivariate Normal Distribution 226\u003cbr\u003e6.4 Multivariate Bernoulli Distribution 232\u003cbr\u003e6.5 Principal Component Analysis 234\u003cbr\u003e6.6 Dimensionality Reduction and Class Separability 245\u003cbr\u003e6.7 Encoding\/Decoding Data 245\u003cbr\u003e6.8 Feature Embedding 249\u003cbr\u003e6.9 Singular Value Decomposition 252\u003cbr\u003e6.10 Notes 255\u003cbr\u003e6.11 Exercises 256\u003cbr\u003e7 Regression 263\u003cbr\u003e7.1 The Idea 263\u003cbr\u003e7.2 Simple Linear Regression 265\u003cbr\u003e7.3 Probabilistic Interpretation 268\u003cbr\u003e7.4 Analysis of Variance for Regression 271\u003cbr\u003e7.5 Prediction 273\u003cbr\u003e7.6 Vector-Matrix Notation 275\u003cbr\u003e7.7 Generalizing the Linear Model 278\u003cbr\u003e7.8 Regression using Iterative Optimization 281\u003cbr\u003e7.9 Online Learning 290\u003cbr\u003e7.10 Model Selection and the Bias\/Variance Tradeoff 296\u003cbr\u003e7.11 Cross-Validation 299\u003cbr\u003e7.12 Feature Selection 306\u003cbr\u003e7.13 Regularization 311\u003cbr\u003e7.14 K-Fold Resampling 312\u003cbr\u003e7.15 Exercises 316\u003cbr\u003e8 Classification 325\u003cbr\u003e8.1 Introduction 325\u003cbr\u003e8.2 Bayesian Decision Theory 326\u003cbr\u003e8.3 Parametric Classification 327\u003cbr\u003e8.4 Multivariate Case 330\u003cbr\u003e8.5 Losses and Rejects 339\u003cbr\u003e8.6 Information Retrieval 342\u003cbr\u003e8.7 Logistic Regression 344\u003cbr\u003e8.8 Notes 357\u003cbr\u003e8.9 Exercises 357\u003cbr\u003e9 Clustering 363\u003cbr\u003e9.1 Introduction 363\u003cbr\u003e9.2 k-Means Clustering 365\u003cbr\u003e9.3 Normal Mixtures and Soft Clustering 374\u003cbr\u003e9.4 Mixtures of Mixtures for Classification 379\u003cbr\u003e9.5 Radial Basis Functions 382\u003cbr\u003e9.6 Mixtures of Experts 385\u003cbr\u003e9.7 Notes 390\u003cbr\u003e9.8 Exercises 391\u003cbr\u003e10 Nearest Neighbors 395\u003cbr\u003e10.1 The Story So Far 395\u003cbr\u003e10.2 Nonparametric Methods 396\u003cbr\u003e10.3 Kernel Density Estimation 397\u003cbr\u003e10.4 Nonparametric Classification 401\u003cbr\u003e10.5 k-Nearest Neighbors 403\u003cbr\u003e10.6 Smoothing Models 410\u003cbr\u003e10.7 Distance Measures 414\u003cbr\u003e10.8 Notes 415\u003cbr\u003e10.9 Exercises 416\u003cbr\u003e11 Artificial Neural Networks 419\u003cbr\u003e11.1 Why We Care About the Brain 419\u003cbr\u003e11.2 The Perceptron 425\u003cbr\u003e11.3 Training A Perceptron 428\u003cbr\u003e11.4 Learning Boolean Functions 428\u003cbr\u003e11.5 The Multilayer Perceptron 434\u003cbr\u003e11.6 The Autoencoder 444\u003cbr\u003e11.7 Deep Learning 447\u003cbr\u003e11.8 Improving Convergence 449\u003cbr\u003e11.9 Structuring the Network 451\u003cbr\u003e11.10 Recurrent Networks 456\u003cbr\u003e11.11 Composite Architectures 457\u003cbr\u003e11.12 Notes 460\u003cbr\u003e11.13 Exercises 461\u003cbr\u003eA Linear Algebra 465\u003cbr\u003eA.1 Vectors and Matrices 465\u003cbr\u003eA.2 Vector Projections 467\u003cbr\u003eA.3 Similarity of Vectors 468\u003cbr\u003eA.4 Square Matrices 468\u003cbr\u003eA.5 Linear Dependence, Rank, and Inverse Matrices 468\u003cbr\u003eA.6 Positive Definite Matrices 469\u003cbr\u003eA.7 Trace and Determinant 469\u003cbr\u003eA.8 Matrix-Vector Product 470\u003cbr\u003eA.9 Eigenvalues and Eigenvectors 470\u003cbr\u003eA.10 Matrix Decomposition 470\u003cbr\u003eReferences 471\u003cbr\u003eIndex 476Ethem Alpaydın is Professor in the Department of Computer Engineering at Özyegin University and a member of the Science Academy, Istanbul. He is the author of the widely used textbook, \u003ci\u003eIntroduction to Machine Learning\u003c\/i\u003e, now in its fourth edition, and \u003ci\u003eMachine Learning\u003c\/i\u003e, both published by the MIT Press.","brand":"The MIT Press","offers":[{"title":"Default Title","offer_id":48233183183077,"sku":"NP9780262049818","price":90.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780262049818.jpg?v=1767727795","url":"https:\/\/k12savings.com\/products\/fundamentals-of-probability-and-statistics-for-machine-learning-isbn-9780262049818","provider":"K12savings","version":"1.0","type":"link"}