Classical algorithms have successfully reproduced expectation values of observables for certain quantum circuits using off-the-shelf computing resources; however, matching the performance of the most ...

This paper offers a conceptual synthesis of foundational principles from theoretical neuroscience [i.e., predictive coding, the Free Energy Principle (FEP) and variational inference] as a biologically ...

Version of Record: This is the final version of the article. This work builds a theory to implement planning trajectories towards a goal in a known environment, inspired by analyses of prefrontal ...

Python toolkit for analysis of industrial process data; multivariate analysis, designed experiments, process monitoring.

A curated list of mathematical optimization courses, lectures, books, notes, libraries, frameworks and software.

Microsoft Research conducts fundamental science and technology research across a spectrum of research areas. With labs around the globe we pursue breakthroughs across the computing and AI stack to ...