LEADER 03955nam 22005775 450 001 9910303457803321 005 20200704004611.0 010 $a3-319-91851-6 024 7 $a10.1007/978-3-319-91851-8 035 $a(CKB)4100000007181230 035 $a(MiAaPQ)EBC5611142 035 $a(DE-He213)978-3-319-91851-8 035 $a(PPN)232964351 035 $a(EXLCZ)994100000007181230 100 $a20181204d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModels of Computation for Big Data /$fby Rajendra Akerkar 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (110 pages) 225 1 $aSpringerBriefs in Advanced Information and Knowledge Processing,$x2524-5198 311 $a3-319-91850-8 327 $aPreface -- Streaming Models -- Introduction -- Indyk?s Algorithm -- Point Query -- Sketching -- Sub-Linear Time Models -- Introduction -- Dimentionality Reduction -- Johnson Lindenstrauss Lower Bound -- Fast Johnson Lindenstrauss Transform -- Sublinear Time Algorithmic Models -- Linear Algebraic Models -- Introduction -- Subspace Embeddings -- Low-Rank Approximation -- The Matrix Completion Problem -- Other Computational Models -- References. 330 $aThe big data tsunami changes the perspective of industrial and academic research in how they address both foundational questions and practical applications. This calls for a paradigm shift in algorithms and the underlying mathematical techniques. There is a need to understand foundational strengths and address the state of the art challenges in big data that could lead to practical impact. The main goal of this book is to introduce algorithmic techniques for dealing with big data sets. Traditional algorithms work successfully when the input data fits well within memory. In many recent application situations, however, the size of the input data is too large to fit within memory. Models of Computation for Big Data, covers mathematical models for developing such algorithms, which has its roots in the study of big data that occur often in various applications. Most techniques discussed come from research in the last decade. The book will be structured as a sequence of algorithmic ideas, theoretical underpinning, and practical use of that algorithmic idea. Intended for both graduate students and advanced undergraduate students, there are no formal prerequisites, but the reader should be familiar with the fundamentals of algorithm design and analysis, discrete mathematics, probability and have general mathematical maturity. 410 0$aSpringerBriefs in Advanced Information and Knowledge Processing,$x2524-5198 606 $aAlgorithms 606 $aData mining 606 $aAlgebras, Linear 606 $aComputers 606 $aAlgorithm Analysis and Problem Complexity$3https://scigraph.springernature.com/ontologies/product-market-codes/I16021 606 $aData Mining and Knowledge Discovery$3https://scigraph.springernature.com/ontologies/product-market-codes/I18030 606 $aLinear Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11100 606 $aModels and Principles$3https://scigraph.springernature.com/ontologies/product-market-codes/I18016 615 0$aAlgorithms. 615 0$aData mining. 615 0$aAlgebras, Linear. 615 0$aComputers. 615 14$aAlgorithm Analysis and Problem Complexity. 615 24$aData Mining and Knowledge Discovery. 615 24$aLinear Algebra. 615 24$aModels and Principles. 676 $a005.3 700 $aAkerkar$b Rajendra$4aut$4http://id.loc.gov/vocabulary/relators/aut$0621740 906 $aBOOK 912 $a9910303457803321 996 $aModels of Computation for Big Data$92276667 997 $aUNINA