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020 _a9783031658204
_9978-3-031-65820-4
024 7 _a10.1007/978-3-031-65820-4
_2doi
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029040
_2bisacsh
072 7 _aPBT
_2thema
072 7 _aPBWL
_2thema
100 1 _aPrivault, Nicolas.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_985758
245 1 0 _aDiscrete Stochastic Processes
_h[electronic resource] :
_bTools for Machine Learning and Data Science /
_cby Nicolas Privault.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXII, 288 p. 144 illus., 130 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Mathematics Series,
_x2197-4144
505 0 _a- 1. A Summary of Markov Chains -- 2. Phase-Type Distributions -- 3. Synchronizing Automata -- 4. Random Walks and Recurrence -- 5. Cookie-Excited Random Walks -- 6. Convergence to Equilibrium -- 7. The Ising Model -- 8. Search Engines -- 9. Hidden Markov Model -- 10. Markov Decision Processes.
520 _aThis text presents selected applications of discrete-time stochastic processes that involve random interactions and algorithms, and revolve around the Markov property. It covers recurrence properties of (excited) random walks, convergence and mixing of Markov chains, distribution modeling using phase-type distributions, applications to search engines and probabilistic automata, and an introduction to the Ising model used in statistical physics. Applications to data science are also considered via hidden Markov models and Markov decision processes. A total of 32 exercises and 17 longer problems are provided with detailed solutions and cover various topics of interest, including statistical learning.
650 0 _aStochastic processes.
_976770
650 0 _aComputer science
_xMathematics.
_964041
650 1 4 _aStochastic Processes.
_976770
650 2 4 _aMathematical Applications in Computer Science.
_965518
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031658198
776 0 8 _iPrinted edition:
_z9783031658211
830 0 _aSpringer Undergraduate Mathematics Series,
_x2197-4144
_975368
856 4 0 _uhttps://doi.org/10.1007/978-3-031-65820-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c64065
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