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Jayakrishnan Nair, Indian Institute of Technology, Bombay,Adam Wierman, California Institute of Technology,Bert Zwart, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
Jayakrishnan Nair, Indian Institute of Technology, Bombay,Adam Wierman, California Institute of Technology,Bert Zwart, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
Jayakrishnan Nair, Indian Institute of Technology, Bombay,Adam Wierman, California Institute of Technology,Bert Zwart, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
Jayakrishnan Nair, Indian Institute of Technology, Bombay,Adam Wierman, California Institute of Technology,Bert Zwart, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
An introduction to the emergence of heavy-tailed distributions in the context of additive processes.Stable distributions are introduced and the generalized central limit theorem is presented.Further, an example of the emergence of heavy tails in random walks is included.
Jayakrishnan Nair, Indian Institute of Technology, Bombay,Adam Wierman, California Institute of Technology,Bert Zwart, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
Jayakrishnan Nair, Indian Institute of Technology, Bombay,Adam Wierman, California Institute of Technology,Bert Zwart, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
An introduction to the class of subexponential distributions and the important properties of this class, including the catastrophe principle. Examples applying subexponential distributions to random sums and random walks are included.
This book introduces machine learning for readers with some background in basic linear algebra, statistics, probability, and programming. In a coherent statistical framework it covers a selection of supervised machine learning methods, from the most fundamental (k-NN, decision trees, linear and logistic regression) to more advanced methods (deep neural networks, support vector machines, Gaussian processes, random forests and boosting), plus commonly-used unsupervised methods (generative modeling, k-means, PCA, autoencoders and generative adversarial networks). Careful explanations and pseudo-code are presented for all methods. The authors maintain a focus on the fundamentals by drawing connections between methods and discussing general concepts such as loss functions, maximum likelihood, the bias-variance decomposition, ensemble averaging, kernels and the Bayesian approach along with generally useful tools such as regularization, cross validation, evaluation metrics and optimization methods. The final chapters offer practical advice for solving real-world supervised machine learning problems and on ethical aspects of modern machine learning.
We overview the main characteristics of the power-line channel, such as noise, attenuation, and its broadcast nature. We identify the key factors that affect end-to-end performance of single links. We discuss the PHY layer functions and the evolution of PLC technologies. We present a typical PLC transceiver, its signal modulation and coding techniques, and their parameters. We discuss the new features of HomePlug AV2 compared to IEEE 1901 and the differences between Wi-Fi and PLC PHY layers.
We discusse PLC efficiency when multiple users contend for the medium. To resolve contention conflicts, PLC uses carrier sense multi- ple access with collision avoidance (CSMA/CA) on the MAC layer. The stations have to sense the medium before they transmit, and to wait for a random interval of idle-medium time slots before they transmit. The PLC CSMA/CA protocol is similar but more complex than that of Wi-Fi. We present the IEEE 1901 CSMA/CA protocol and certain MAC-layer processes, such as the priority resolution for QoS classes, inter-frame spaces, and frame aggregation. We discuss the new features of HomePlug AV2 compared to IEEE 1901 and the differences between Wi-Fi and PLC MAC layers.
We introduce an experimental framework for PLC.We explain how to configure PLC devices and how to measure certain statistics, such as the capacity of the links, packet errors, modulation information, and collision statistics. We rely on PLC management messages and on open-source tools. We give examples of these messages and guidelines on employing the tools. We also explain how to develop new custom PLC tools.