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020 _a9783110697827
024 7 _a10.1515/9783110697827
_2doi
035 _a(DE-B1597)546634
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _agw
_cDE
072 7 _aCOM021030
_2bisacsh
100 1 _aDinov, Ivo D.,
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976302
245 1 0 _aData Science :
_bTime Complexity, Inferential Uncertainty, and Spacekime Analytics /
_cIvo D. Dinov, Milen Velchev Velev.
264 1 _aBerlin ;
_aBoston :
_bDe Gruyter,
_c[2021]
264 4 _c©2022
300 _a1 online resource (XXVI, 463 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aDe Gruyter STEM
505 0 0 _tFrontmatter --
_tPreface --
_tForeword --
_tContents --
_tUse and Disclaimer --
_tGlossary, Common Notations, and Abbreviations --
_tChapter 1 Motivation --
_tChapter 2 Mathematics and Physics Foundations --
_tChapter 3 Time Complexity --
_tChapter 4 Kime-series Modeling and Spacekime Analytics --
_tChapter 5 Inferential Uncertainty --
_tChapter 6 Applications --
_t7 Summary --
_tReferences --
_tIndex
506 0 _arestricted access
_uhttp://purl.org/coar/access_right/c_16ec
_fonline access with authorization
_2star
520 _aThe amount of new information is constantly increasing, faster than our ability to fully interpret and utilize it to improve human experiences. Addressing this asymmetry requires novel and revolutionary scientific methods and effective human and artificial intelligence interfaces. By lifting the concept of time from a positive real number to a 2D complex time (kime), this book uncovers a connection between artificial intelligence (AI), data science, and quantum mechanics. It proposes a new mathematical foundation for data science based on raising the 4D spacetime to a higher dimension where longitudinal data (e.g., time-series) are represented as manifolds (e.g., kime-surfaces). This new framework enables the development of innovative data science analytical methods for model-based and model-free scientific inference, derived computed phenotyping, and statistical forecasting. The book provides a transdisciplinary bridge and a pragmatic mechanism to translate quantum mechanical principles, such as particles and wavefunctions, into data science concepts, such as datum and inference-functions. It includes many open mathematical problems that still need to be solved, technological challenges that need to be tackled, and computational statistics algorithms that have to be fully developed and validated. Spacekime analytics provide mechanisms to effectively handle, process, and interpret large, heterogeneous, and continuously-tracked digital information from multiple sources. The authors propose computational methods, probability model-based techniques, and analytical strategies to estimate, approximate, or simulate the complex time phases (kime directions). This allows transforming time-varying data, such as time-series observations, into higher-dimensional manifolds representing complex-valued and kime-indexed surfaces (kime-surfaces). The book includes many illustrations of model-based and model-free spacekime analytic techniques applied to economic forecasting, identification of functional brain activation, and high-dimensional cohort phenotyping. Specific case-study examples include unsupervised clustering using the Michigan Consumer Sentiment Index (MCSI), model-based inference using functional magnetic resonance imaging (fMRI) data, and model-free inference using the UK Biobank data archive. The material includes mathematical, inferential, computational, and philosophical topics such as Heisenberg uncertainty principle and alternative approaches to large sample theory, where a few spacetime observations can be amplified by a series of derived, estimated, or simulated kime-phases. The authors extend Newton-Leibniz calculus of integration and differentiation to the spacekime manifold and discuss possible solutions to some of the "problems of time". The coverage also includes 5D spacekime formulations of classical 4D spacetime mathematical equations describing natural laws of physics, as well as, statistical articulation of spacekime analytics in a Bayesian inference framework. The steady increase of the volume and complexity of observed and recorded digital information drives the urgent need to develop novel data analytical strategies. Spacekime analytics represents one new data-analytic approach, which provides a mechanism to understand compound phenomena that are observed as multiplex longitudinal processes and computationally tracked by proxy measures. This book may be of interest to academic scholars, graduate students, postdoctoral fellows, artificial intelligence and machine learning engineers, biostatisticians, econometricians, and data analysts. Some of the material may also resonate with philosophers, futurists, astrophysicists, space industry technicians, biomedical researchers, health practitioners, and the general public.
530 _aIssued also in print.
538 _aMode of access: Internet via World Wide Web.
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023)
650 4 _aData Science.
_934092
650 4 _aInferential Uncertainty.
_976303
650 4 _aPredictive Analysis.
_976304
650 4 _aTime Complexity.
_976305
650 7 _aCOMPUTERS / Database Management / Data Mining.
_2bisacsh
_912290
700 1 _aVelev, Milen Velchev,
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976306
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