Neural Network and Deep Learning with Mathematica
Résumé
"Neural Network and Deep Learning with Mathematica" provides a comprehensive examination of the core challenges in neural network research and development, utilizing Mathematica's advanced computational capabilities. Mathematica's integration of symbolic and numeric computation allows for the precise formulation and analysis of neural network models, making it an invaluable tool for researchers and practitioners alike. Readers will benefit from Mathematica's extensive library of built-in functions, which simplifies the construction and training of neural networks, as well as its seamless integration with data visualization, statistical analysis, and image processing tools. The book addresses critical aspects of neural network methodologies, including model generalization, regularization, and optimization. It offers in-depth coverage of multilayer feed-forward neural networks, training processes, and optimization issues such as activation function saturation, vanishing and exploding gradients, and weight initialization. Advanced topics include complex-valued neural networks and sophisticated activation functions, with detailed exploration of their properties and applications. Key methodologies discussed include various learning rate schedules, adaptive algorithms, and techniques for hyperparameter tuning, such as Bayesian optimization and Gaussian processes. With detailed code examples, step-by-step explanations, and illustrative figures, this book is not only a resource for beginners but also a valuable reference for seasoned professionals in fields such as data science, machine learning, and engineering. We have created more than 200 manipulates cover different scenarios in neural networks, more than 500 light Mathematica codes (examples). The code will run as-is with no code from prior algorithms or third parties required beyond the installation of Mathematica. Whether you are a student, researcher, or practitioner, "Neural Network and Deep Learning with Mathematica" equips you with the knowledge and tools to overcome the complexities of modern artificial intelligence and contribute to the ongoing advancements in this exciting field.
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