LEADER 05372nam 22007215 450 001 9910504285203321 005 20251113190253.0 010 $a981-16-4095-5 024 7 $a10.1007/978-981-16-4095-7 035 $a(CKB)5340000000068377 035 $aEBL6787726 035 $a(OCoLC)1313880904 035 $a(AU-PeEL)EBL6787726 035 $a(MiAaPQ)EBC6787726 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/72797 035 $a(PPN)258302194 035 $a(ODN)ODN0010073849 035 $a(oapen)doab72797 035 $a(Au-PeEL)EBL6787726 035 $a(OCoLC)1314627511 035 $a(DE-He213)978-981-16-4095-7 035 $a(EXLCZ)995340000000068377 100 $a20211019d2022 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSublinear Computation Paradigm $eAlgorithmic Revolution in the Big Data Era /$fedited by Naoki Katoh, Yuya Higashikawa, Hiro Ito, Atsuki Nagao, Tetsuo Shibuya, Adnan Sljoka, Kazuyuki Tanaka, Yushi Uno 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (403 p.) 225 1 $aComputer Science Series 300 $aDescription based upon print version of record. 311 08$a981-16-4094-7 327 $aChapter 1: What is the Sublinear Computation Paradigm? -- Chapter 2: Property Testing on Graphs and Games -- Chapter 3: Constant-Time Algorithms for Continuous Optimization Problems -- Chapter 4: Oracle-based Primal-Dual Algorithms for Packing and Covering Semidefinite Programs -- Chapter 5: Almost Linear Time Algorithms for Some Problems on Dynamic Flow Networks -- Chapter 6: Sublinear Data Structure -- Chapter 7: Compression and Pattern Matching -- Chapter 8: Orthogonal Range Search Data Structures -- Chapter 9: Enhanced RAM Simulation in Succinct Space -- Chapter 10: Review of Sublinear Modeling in Markov Random Fields by Statistical-Mechanical Informatics and Statistical Machine Learning Theory -- Chapter 11: Empirical Bayes Method for Boltzmann Machines -- Chapter 12: Dynamical analysis of quantum annealing -- Chapter 13: Mean-field analysis of Sourlas codes with adiabatic reverse annealing -- Chapter 14: Rigidity theory for protein function analysis and structural accuracy validations -- Chapter 15: Optimization of Evacuating and Walking Home Routes from Osaka City with Big Road Network Data on Nankai Megathrust Earthquake -- Chapter 16: Stream-based Lossless Data Compression. 330 $aThis open access book gives an overview of cutting-edge work on a new paradigm called the ?sublinear computation paradigm,? which was proposed in the large multiyear academic research project ?Foundations of Innovative Algorithms for Big Data.? That project ran from October 2014 to March 2020, in Japan. To handle the unprecedented explosion of big data sets in research, industry, and other areas of society, there is an urgent need to develop novel methods and approaches for big data analysis. To meet this need, innovative changes in algorithm theory for big data are being pursued. For example, polynomial-time algorithms have thus far been regarded as ?fast,? but if a quadratic-time algorithm is applied to a petabyte-scale or larger big data set, problems are encountered in terms of computational resources or running time. To deal with this critical computational and algorithmic bottleneck, linear, sublinear, and constant time algorithms are required. The sublinear computation paradigm is proposed here in order to support innovation in the big data era. A foundation of innovative algorithms has been created by developing computational procedures, data structures, and modelling techniques for big data. The project is organized into three teams that focus on sublinear algorithms, sublinear data structures, and sublinear modelling. The work has provided high-level academic research results of strong computational and algorithmic interest, which are presented in this book. The book consists of five parts: Part I, which consists of a single chapter on the concept of the sublinear computation paradigm; Parts II, III, and IV review results on sublinear algorithms, sublinear data structures, and sublinear modelling, respectively; Part V presents application results. The information presented here will inspire the researchers who work in the field of modern algorithms. 410 0$aComputer Science Series 606 $aComputer science 606 $aAlgorithms 606 $aTheory of Computation 606 $aAlgorithms 615 0$aComputer science. 615 0$aAlgorithms. 615 14$aTheory of Computation. 615 24$aAlgorithms. 676 $a004.0151 686 $aCOM051300$2bisacsh 700 $aKatoh$b Naoki$01238685 701 $aHigashikawa$b Yuya$01238686 701 $aIto$b Hiro$01238687 701 $aNagao$b Atsuki$01238688 701 $aShibuya$b Tetsuo$01238689 701 $aSljoka$b Adnan$01238690 701 $aTanaka$b Kazuyuki$01238691 701 $aUno$b Yu?shi$00 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910504285203321 996 $aSublinear Computation Paradigm$92874616 997 $aUNINA