2018版-high-dimensional probability - an introduction with applications in data science

1、“Thisisanexcellentverytimelytextpresentingthemoderntoolsofhighdimensionalgeometryprobabilityinaveryaccessibleapplicationsientedmannerwithplentyofinfmativeexercises.Thebookisinfusedwiththeauth’sinsightsintuitioninthisfiel

2、dhasextensivereferencestothelatestdevelopmentsinthearea.Itwillbeanextremelyusefulresourcebothfnewcomerstothissubjectfexpertresearchers.”–TerenceTaoUniversityofCalifniaLosAngeles“Methodsofhighdimensionalprobabilityhavebec

3、omeindispensableinnumerousproblemsofprobabilitytheyitsapplicationsinmathematicsstatisticscomputerscienceelectricalengineering.RomanVershynin’swonderfultextfillsamajgapintheliteraturebyprovidingahighlyaccessibleintroducti

4、ontothisarea.StartingwithnoprerequisitesbeyondafirstcourseinprobabilitylinearalgebraVershynintakesthereaderonaguidedtourthroughthesubjectconsistentlyillustratestheutilityofthematerialthroughmoderndatascienceapplications.

5、Thisbookshouldbeessentialreadingfstudentsresearchersinprobabilitytheydatasciencerelatedfields.”–RamonvanHelPrincetonUniversity“Thisverywelcomecontributiontotheliteraturegivesaconciseintroductiontoseveraltopicsin‘highdime

6、nsionalprobability’thatareofkeyrelevanceincontemparystatisticalsciencemachinelearning.Theauthachievesafinebalancebetweenpresentingdeeptheymaintainingreadabilityfanonspecialistaudience–thisbookisthushighlyrecommendedfgrad

7、uatestudentsresearchersalikewhowishtolearnmeaboutthisbynowindispensablefieldofmodernmathematics.”–RidNicklUniversityofCambridge“Vershyninisoneofthewld’sleadingexpertsintheareaofhighdimensionalprobabilityhistextbookprovid

8、esagentleyetthoughtreatmentofmanyofthekeytoolsintheareatheirapplicationstothefieldofdatascience.Thetopicscoveredhereareamustknowfanyonelookingtodomathematicalwkinthefieldcoveringsubjectsimptantinmachinelearningalgithmsth

9、eeticalcomputersciencesignalprocessingappliedmathematics.”–JelaniNelsonHarvardUniversity“HighDimensionalProbabilityisanexcellenttreatmentofmodernmethodsinprobabilitydataanalysis.Vershynin’sperspectiveisuniqueinsightfulin

10、fmedbyhisexpertiseasbothaprobabilistafunctionalanalyst.Histreatmentofthesubjectisgentlethoughinvitingprovidingagreatresourcefbothnewcomersthosefamiliarwiththesubject.Ibelieveastheauthdoesthatthetopicscoveredinthisbookare