Data Science, Time Complexity, and Spacekime Analytics

There is a substantial need to develop, validate, productize, and support novel mathematical techniques, advanced statistical computing algorithms, transdisciplinary tools, and effective artificial intelligence applications. Extracting actionable information from complex, multi-source, and time-varying observable processes uncovers an interesting synergy between quantum mechanics, artificial intelligence (AI) and data science. Spacekime analytics is a new technique for modeling high-dimensional longitudinal data. This approach relies on extending the physical notions of time, events, particles, and wavefunctions to their AI counterparts; complex-time (kime), complex-events (kevents), data, and inference-functions. We will illustrate how the kime-magnitude (longitudinal time order) and kime-direction (phase) affect the subsequent predictive analytics and the induced scientific inference. The mathematical foundation of spacekime calculus reveal various statistical implications including inferential uncertainty and a Bayesian formulation of spacekime analytics. Complexifying time allows the lifting of all commonly observed processes from the classical 4D Minkowski spacetime to a 5D spacekime manifold, where a number of interesting mathematical problems arise. Direct data science applications of spacekime analytics will be demonstrated using simulated data and clinical observations (e.g., structural and fMRI).