000 01707 a2200205 4500
005 20251009170327.0
008 251009b |||||||| |||| 00| 0 eng d
020 _a9781108485067
082 _a004
_bBluF
100 _aBlum, Avrim
245 _aFoundations of Data Science /
_c Avrim Blum, John Hopcroft & Ravindran Kannan
260 _bCambridge University Press :
_aNew York ,
_c©2020.
300 _aviii,424p.
520 _aThis book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data.
650 _aMachine Learning
650 _aData Science
700 _aKannan, Ravindran
700 _aHopcroft, John
942 _cBK
999 _c6633
_d6633