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The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between "probability theory" and "statistical inference", leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
Probabilities --- Probabilités --- Probabilités. --- Statistique mathématique. --- Mathematical statistics --- Probabilités --- Statistique mathématique --- Mathématiques --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Risk --- 519.2 --- Mathématiques --- Grondslagen. --- Probabilidade. --- Probabilities. --- Waarschijnlijkheidstheorie. --- Wahrscheinlichkeitstheorie.
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Reliability (Engineering) --- Fiabilité --- Fiabilité --- Reliability of equipment --- Systems reliability --- Engineering --- Maintainability (Engineering) --- Probabilities --- Systems engineering --- Plant performance --- Safety factor in engineering --- Structural failures
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Reliability (Engineering) --- Reliability of equipment --- Systems reliability --- Engineering --- Maintainability (Engineering) --- Probabilities --- Systems engineering --- Plant performance --- Safety factor in engineering --- Structural failures --- Reliability (Engineering).
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Today's Web-enabled deluge of electronic data calls for automated methods of data analysis. Machine learning provides these, developing methods that can automatically detect patterns in data and then use the uncovered patterns to predict future data. This textbook offers a comprehensive and self-contained introduction to the field of machine learning, based on a unified, probabilistic approach. The coverage combines breadth and depth, offering necessary background material on such topics as probability, optimization, and linear algebra as well as discussion of recent developments in the field, including conditional random fields, L1 regularization, and deep learning. The book is written in an informal, accessible style, complete with pseudo-code for the most important algorithms. All topics are copiously illustrated with color images and worked examples drawn from such application domains as biology, text processing, computer vision, and robotics. Rather than providing a cookbook of different heuristic methods, the book stresses a principled model-based approach, often using the language of graphical models to specify models in a concise and intuitive way. Almost all the models described have been implemented in a MATLAB software package--PMTK (probabilistic modeling toolkit)--that is freely available online. The book is suitable for upper-level undergraduates with an introductory-level college math background and beginning graduate students.
Machine learning --- Probabilities --- Apprentissage automatique --- Probabilités --- Machine Learning --- Machine learning. --- Probabilities. --- Basic Sciences. Statistics --- Probability Theory, Sampling Theory --- Artificial intelligence. Robotics. Simulation. Graphics --- Probability Theory, Sampling Theory. --- Probabilités --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Learning, Machine --- Artificial intelligence --- Machine theory --- Apprentissage automatique. --- Probabilités. --- machine learning --- KI (kunstmatige intelligentie) --- Aprendizaje automático --- Probabilidades --- Libros electrónicos --- Probabilités. --- AI (artificiële intelligentie)
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Electromagnetic waves --- Electromagnetic interactions --- Radiative transitions --- Ondes électromagnétiques --- Interactions électromagnétiques --- Transitions, Radiative --- Atomic transition probabilities --- Energy levels (Quantum mechanics) --- Electromagnetic energy --- Electromagnetic radiation --- Electromagnetic theory --- Waves --- Interactions, Electromagnetic --- Nuclear reactions --- Ondes électromagnétiques --- Interactions électromagnétiques
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Reliability (Engineering) --- Risk assessment. --- Reliability (Engineering). --- Risk assessment --- Analysis, Risk --- Assessment, Risk --- Risk analysis --- Risk evaluation --- Reliability of equipment --- Systems reliability --- Evaluation --- Engineering --- Maintainability (Engineering) --- Probabilities --- Systems engineering --- Plant performance --- Safety factor in engineering --- Structural failures
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Probabilities --- Statistics --- 519.23 --- 519.2 --- 51-7 --- design of experiments --- kansrekening --- kwaliteitscontrole --- statistiek --- variantie-analyse --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Statistical analysis. Inference methods --- Probability. Mathematical statistics --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- (zie ook: doe) --- Probabilities. --- Statistics. --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 519.2 Probability. Mathematical statistics --- 519.23 Statistical analysis. Inference methods --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc
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Civilisation --- Social psychology --- 519.72 --- 659.113.5 --- Information theory: mathematical aspects --- Forecasting, projections of results --- Forecasting. --- Uncertainty (Information theory) --- Kennisleer --- Social aspects. --- Kennisleer. --- 659.113.5 Forecasting, projections of results --- 519.72 Information theory: mathematical aspects --- Forecasting --- Measure of uncertainty (Information theory) --- Shannon's measure of uncertainty --- System uncertainty --- Information measurement --- Probabilities --- Questions and answers --- Forecasts --- Futurology --- Prediction --- Social aspects
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Analysis of variance --- Experimental design --- Mathematical statistics --- 519.242 --- 519.2 --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics --- Design of experiments --- Statistical design --- Mathematical optimization --- Research --- Science --- Statistical decision --- Analysis of means --- ANOVA (Analysis of variance) --- Variance analysis --- 519.242 Experimental design. Optimal designs. Block designs --- Experimental design. Optimal designs. Block designs --- Statistical methods --- Experiments --- Methodology --- #A9609KW
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Stochastic differential equations. --- 519.216 --- 517.9 --- Stochastic differential equations --- 681.3*H35 --- 681.3*H1 --- 681.3*H1 Models and principles (Information systems) --- Models and principles (Information systems) --- 681.3*H35 On-line information services: data bank sharing --- On-line information services: data bank sharing --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 519.216 Stochastic processes in general. Prediction theory. Stopping times. Martingales --- Stochastic processes in general. Prediction theory. Stopping times. Martingales --- 519.2 --- Differential equations --- Fokker-Planck equation --- Mathematical analysis. --- Analysis (Mathematics). --- Probabilities. --- Mathematical physics. --- System theory. --- Calculus of variations. --- Partial differential equations. --- Analysis. --- Probability Theory and Stochastic Processes. --- Theoretical, Mathematical and Computational Physics. --- Systems Theory, Control. --- Calculus of Variations and Optimal Control; Optimization. --- Partial Differential Equations. --- Partial differential equations --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Systems, Theory of --- Systems science --- Science --- Physical mathematics --- Physics --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- 517.1 Mathematical analysis --- Mathematical analysis --- Philosophy --- Physics. --- Mathematics. --- System theory --- Math --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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