The planning of large infrastructure projects such as inner-city subway tracks is a highly collaborative process in which numerous experts from different domains are involved. While performing the planning task, widely differing scales have to be taken into consideration, ranging from the kilometer scale for the general routing of the track down to the centimeter scale for the detailed design o...

This paper introduces a multi-rate hidden Markov model (multi-rate HMM) for multi-scale stochastic modeling of non-stationary processes. The multi-rate HMM decomposes the process variability into scale-based components, and characterizes both the intra-scale temporal evolution of the process and the inter-scale interactions. Scales are organized in a hierarchical manner from coarser scales to f...

In this paper, we propose a generalized multi-scale modeling framework for a continuous alcoholic fermentation using Saccharomyces cerevisiae. Based on the developed multi-scale modeling framework, a multi-scale control (MSC) strategy using PID-type controllers is then designed and compared with that of a single-scale control (SCC) strategy. Results indicate that MSC strategy could greatly impr...