In many task-planning domains, assemblies of autonomous agents need to construct plans and schedules for executing their assigned sets of tasks in order to complete them. Often, there will be dependencies between tasks to be executed by different agents. In such a situation, a plan-coordination problem arises when the joint plan is required to be feasible, whatever locally-feasible plans the in...

It is widely recognized that mental rotation is a cognitive process which engages a distributed cortical network including the frontal, premotor and parietal regions. Like other visual-spatial transformations it could require operations on both metric and categorical spatial representations. Previous reports have implicated respectively the right hemisphere being involved in the metric processi...

The transport and continuum equations exhibit a number of conservation laws. For example, scalar multiplication is conserved by the transport equation, while positivity of probabilities is conserved by the continuum equation. Certain discretization techniques, such as particle based methods, conserve these properties, but converge slower than spectral discretization methods on smooth data. Stan...

Sketch maps are an externalization of an individual’s mental images of an environment. The information represented in sketch maps is schematized, distorted, generalized, and thus processing spatial information in sketch maps requires plausible representations based on human cognition. Typically only qualitative relations between spatial objects are preserved in sketch maps, and therefore proces...