Master the art of machine learning and data science by diving into the essence of mathematical logic with this comprehensive textbook. This book focuses on the widely applicable information criterion (WAIC), also...
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ISBN:
(数字)9789819938414
ISBN:
(纸本)9789819938407
Master the art of machine learning and data science by diving into the essence of mathematical logic with this comprehensive textbook. This book focuses on the widely applicable information criterion (WAIC), also described as the Watanabe-Akaike information criterion, and the widely applicable Bayesian information criterion (WBIC), also described as the Watanabe Bayesian information criterion. The book expertly guides you through relevant mathematical problems while also providing hands-on experience with programming in Python and Stan. Whether you’re a data scientist looking to refine your model selection process or a researcher who wants to explore the latest developments in Bayesian statistics, this accessible guide will give you a firm grasp of Watanabe Bayesian Theory.
This book presents multivariate time series methods for the analysis and optimal control of feedback systems. Although ships’ autopilot systems are considered through the entire book, the methods set forth in this bo...
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ISBN:
(数字)9784431553038
ISBN:
(纸本)9784431553021
This book presents multivariate time series methods for the analysis and optimal control of feedback systems. Although ships’ autopilot systems are considered through the entire book, the methods set forth in this book can be applied to many other complicated, large, or noisy feedback control systems for which it is difficult to derive a model of the entire system based on theory in that subject area. The basic models used in this method are the multivariate autoregressive model with exogenous variables (ARX) model and the radial bases function net-type coefficients ARX model. The noise contribution analysis can then be performed through the estimated autoregressive (AR) model and various types of autopilot systems can be designed through the state–space representation of the models. The marine autopilot systems addressed in this book include optimal controllers for course-keeping motion, rolling reduction controllers with rudder motion, engine governor controllers, noise adaptive autopilots, route-tracking controllers by direct steering, and the reference course-setting approach. The methods presented here are exemplified with real data analysis and experiments on real ships. This book is highly recommended to readers who are interested in designing optimal or adaptive controllers not only of ships but also of any other complicated systems under noisy disturbance conditions.
Im ersten Teil des Buchs werden die Methoden und Algorithmen skizziert, die sich größtenteils aus einer Kombination von Statistik und Informatik ergeben und auf Verfahren des Maschinellen Lernens bis hin zu ...
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ISBN:
(数字)9783662662786
ISBN:
(纸本)9783662662779
Im ersten Teil des Buchs werden die Methoden und Algorithmen skizziert, die sich größtenteils aus einer Kombination von Statistik und Informatik ergeben und auf Verfahren des Maschinellen Lernens bis hin zu Deep Learning und KI basieren. Im zweiten Teil wird die konzeptionelle Umsetzung in der Praxis skizziert: Hier wird insbesondere aufgezeigt, welche Herausforderungen in der Praxis auftreten – ob nun bei der Einbettung der Daten-Use-Cases in eine Gesamtstrategie oder bei der Produktivsetzung, Weiterentwicklung und dem Betrieb von Daten-basierten Lösungen. Der dritte Teil zeigt das breite Potpourri von Data Science in der Praxis: Branchengrößenwie Allianz, ADAC, BMW, Deutsche Bahn, Lufthansa, REWE, RTL, St. Galler Stadtwerke, SwissRe und viele weitere zeigen konkret, welche Erfahrungen sie bei ihren Projekten gesammelt haben. Fachartikel von über 20 namhaften Unternehmen decken die spezifischen Anforderungen ihrer jeweiligen Branchen ab.
In statistics, the Behrens–Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the v...
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ISBN:
(数字)9781461464433
ISBN:
(纸本)9781461464426
In statistics, the Behrens–Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples. In his 1935 paper, Fisher outlined an approach to the Behrens-Fisher problem. Since high-speed computers were not available in Fisher’s time, this approach was not implementable and was soon forgotten. Fortunately, now that high-speed computers are available, this approach can easily be implemented using just a desktop or a laptop computer. Furthermore, Fisher’s approach was proposed for univariate samples. But this approach can also be generalized to the multivariate case.
In this monograph, we present the solution to the afore-mentioned multivariate generalization of the Behrens-Fisher problem. We start out by presenting a test of multivariate normality, proceed to test(s) of equality of covariance matrices, and end with our solution to the multivariate Behrens-Fisher problem. All methods proposed in this monograph will be include both the randomly-incomplete-data case as well as the complete-data case. Moreover, all methods considered in this monograph will be tested using both simulations and examples.
This book highlights recent advances in natural computing, including biology and its theory, bio-inspired computing, computational aesthetics, computational models and theories, computing with natural media, philosoph...
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ISBN:
(数字)9784431554295
ISBN:
(纸本)9784431554288;9784431562894
This book highlights recent advances in natural computing, including biology and its theory, bio-inspired computing, computational aesthetics, computational models and theories, computing with natural media, philosophy of natural computing, and educational technology. It presents extended versions of the best papers selected from the “8th International Workshop on Natural computing” (IWNC8), a symposium held in Hiroshima, Japan, in 2014. The target audience is not limited to researchers working in natural computing but also includes those active in biological engineering, fine/media art design, aesthetics, and philosophy.
This book primarily addresses the optimality aspects of covariate designs. A covariate model is a combination of ANOVA and regression models. Optimal estimation of the parameters of the model using a suitable choice o...
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ISBN:
(数字)9788132224617
ISBN:
(纸本)9788132224600;9788132229919
This book primarily addresses the optimality aspects of covariate designs. A covariate model is a combination of ANOVA and regression models. Optimal estimation of the parameters of the model using a suitable choice of designs is of great importance; as such choices allow experimenters to extract maximum information for the unknown model parameters. The main emphasis of this monograph is to start with an assumed covariate model in combination with some standard ANOVA set-ups such as CRD, RBD, BIBD, GDD, BTIBD, BPEBD, cross-over, multi-factor, split-plot and strip-plot designs, treatment control designs, etc. and discuss the nature and availability of optimal covariate designs. In some situations, optimal estimations of both ANOVA and the regression parameters are provided. Global optimality and D-optimality criteria are mainly used in selecting the design. The standard optimality results of both discrete and continuous set-ups have been adapted, and several novel combinatorial techniques have been applied for the construction of optimum designs using Hadamard matrices, the Kronecker product, Rao-Khatri product, mixed orthogonal arrays to name a few.
This book gives an introduction to R to build up graphing, simulating and computing skills to enable one to see theoretical and statistical models in economics in a unified way. The great advantage of R is that it is ...
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ISBN:
(数字)9788132223405
ISBN:
(纸本)9788132223399
This book gives an introduction to R to build up graphing, simulating and computing skills to enable one to see theoretical and statistical models in economics in a unified way. The great advantage of R is that it is free, extremely flexible and extensible. The book addresses the specific needs of economists, and helps them move up the R learning curve. It covers some mathematical topics such as, graphing the Cobb-Douglas function, using R to study the Solow growth model, in addition to statistical topics, from drawing statistical graphs to doing linear and logistic regression. It uses data that can be downloaded from the internet, and which is also available in different R packages. With some treatment of basic econometrics, the book discusses quantitative economics broadly and simply, looking at models in the light of data. Students of economics or economists keen to learn how to use R would find this book very useful.
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