Automatic differentiation (AD) has been a topic of interest for researchers in many disciplines, with increased popularity since its application to machine learning and neural networks. Although appreciate know how apply AD, it remains challenge truly understand the underlying processes. From an algebraic point view, however, AD appears surprisingly natural: originates from laws. In this work w...

A unified approach is suggested for the derivation of current-tocurrent converter topologies, which relies on duality principles. As conventional duality rules have restricted utility and are difficult to apply with switched mode circuits, special attention is devoted to switch mode converter element dualities. Also, a special means of viewing complex switched mode topologies as a cascade combi...

The ability to perform an appropriate response in the presence of competing alternatives is a critical facet of human behavioral control. This is especially important if a response is prepared for execution but then has to be changed suddenly. A popular hypothesis of basal ganglia (BG) function suggests that its direct and indirect pathways could provide a neural mechanism to rapidly switch fro...

Explicitly cued task switching with multiple cues per task permits three types of transitions: cue repetitions (cue and task repeat), task repetitions (cue changes but task repeats), and task alternations (cue and task change). The difference between task alternations and task repetitions can be interpreted as a switch cost, but its magnitude varies substantially across experiments. We investig...