Data Science: Time Complexity, Inferential Uncertainty, and Spacekime Analytics
- ISBN-10
- 3110697823
- ISBN-13
- 9783110697827
- Series
- Data Science
- Category
- Computers
- Pages
- 489
- Language
- English
- Published
- 2021-12-06
- Publisher
- Walter de Gruyter GmbH & Co KG
- Authors
- Ivo D. Dinov, Milen Velchev Velev
Description
The 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.
Get the book
Other editions
-
- 2023-10-02
- 372 pages
- Ebook
- Springer Nature
-
- 2020-12-03
- 208 pages
- Ebook
- John Wiley & Sons
Similar books
-
Family History Digital Libraries
By William Sims BainbridgeOne named Sara and Timberlake had 11 male workers, 1 female worker, and 4 children workers, so it might have employed the Minor family.
-
Foundation Dreamweaver MX
By Craig Grannell, Jerome Turner, Matt StephensSo here's what we need to do to arrive at our layout: s Create the main table to hold all the page elements. s Deal with the navigation area which is ...
-
Cisco CCNA Certification, 2 Volume Set: Exam 200-301
By Todd LammleThis inclusive, two-book set provides what you need to know to succeed on the new CCNA exam. The set includes Understanding Cisco Networking Technologies: Volume 1 and the CCNA Certification Study Guide: Volume 2.
-
CompTIA Network+ Study Guide: Exam N10-006
By Todd Lammle... you can use: –a –A –c –n –r –R –S –s All nbtstat switches are case sensitive. Generally speaking, lowercase switches deal with NetBIOS names of hosts, ...
-
CompTIA Network+ Study Guide with Online Labs: N10-007 Exam
By Todd Lammle, Jon Buhagiar... you can use: –a –A –c –n –r –R –S –s All nbtstat switches are case sensitive. Generally speaking, lowercase switches deal with NetBIOS names of hosts, ...
-
CCNA: Cisco Certified Network Associate FastPass
By Todd LammleS The S reference point defines the point between the customer router and an ... with the letter E deal with using ISDN on the existing telephone network.
-
Stranger in the Chat Room
By Todd Hafer, Jedd HaferA sequel to In the Chat Room With God finds a group of teens contacted by a mysterious and increasingly malevolent character who claims to know about their encounters with the Almighty and challenges their beliefs. Original.
-
Error Correction Coding: Mathematical Methods and Algorithms
By Todd K. MoonM M−1∑ k=0 −∞ ∞ k=0 The average energy per signal E s ∫ can be related to the ... we will deal primarily with additive white Gaussian noise (AWGN), ...
-
Security+ Training Guide
By Todd King... to deal with most , but unfortunately not all , of these potential threats . ... The S / MIME standard implements encryption for message content using ...
-
CCDA: Cisco Certified Design Associate Study Guide: Exam 640-861
By Todd Lammle, Andy BarklS reference point The S reference point defines the reference point between ... with the letter E deal with using ISDN on the existing telephone network.