000			02486nam a22002537a 4500
003			OSt
005			20260701092848.0
008			260701b |||||||| |||| 00| 0 eng d
020			_a9783119144117
041			_aeng
082			_a006.31 BER-M
100			_aBerlyand, Leonid, _986245
245			_aMathematics of deep learning : An introduction to foundational mathematics of neural nets
250			_a2nd revised and extended edition.
260			_aBerlin ; Boston : _bDe Gruyter, _c2026.
300			_avii, 150p. ; c24 cm.
520			_aThis course aims at providing a mathematical perspective to some key elements of the so-called deep neural networks (DNNs). Much of the interest on deep learning has focused on the implementation of DNN-based algorithms. Our hope is that this compact textbook will offer a complementary point of view that emphasizes the underlying mathematical ideas. We believe that a more foundational perspective will help to answer important questions that have only received empirical answers so far. Our goal is to introduce basic concepts from deep learning in a rigorous mathematical fashion, e.g. introduce mathematical definitions of deep neural networks (DNNs), loss functions, the backpropagation algorithm, etc. We attempt to identify for each concept the simplest setting that minimizes technicalities but still contains the key mathematics. The book focuses on deep learning techniques and introduces them almost immediately. Other techniques such as regression and SVM are briefly introduced and used as a steppingstone for explaining basic ideas of deep learning. Throughout these notes, the rigorous definitions and statements are supplemented by heuristic explanations and figures. The book is organized so that each chapter introduces a key concept. When teaching this course, some chapters could be presented as a part of a single lecture whereas the others have more material and would take several lectures.
520			_aThis book presents a rigorous mathematical introduction to deep learning and neural networks. It explains the theoretical foundations of machine learning using concepts from linear algebra, optimization, probability, analysis, and modern mathematics, providing a comprehensive framework for understanding neural network models.
650			_aMachine learning _986246
650			_aArtificial intelligence _986247
700			_aJabin, Pierre-Emmanuel _986248
942			_cBK
999			_c200756 _d200756