14 citations · 54 across the 14 of their papers we have counts for
6 papers · 1 filter
Assignments to sheaves of pseudometric spaces
Michael Robinson
An assignment to a sheaf is the choice of a local section from each open set in the sheaf's base space, without regard to how these local sections are related to one another. This…
Sheaf and duality methods for analyzing multi-model systems
Michael Robinson
There is an interplay between models, specified by variables and equations, and their connections to one another. This dichotomy should be reflected in the abstract as well. Withou…
Sheaves are the canonical datastructure for sensor integration
Michael Robinson
A sensor integration framework should be sufficiently general to accurately represent all information sources, and also be able to summarize information in a faithful way that emph…
A sheaf-theoretic perspective on sampling
Michael Robinson
Sampling theory has traditionally drawn tools from functional and complex analysis. Past successes, such as the Shannon-Nyquist theorem and recent advances in frame theory, have re…
Understanding networks and their behaviors using sheaf theory
Michael Robinson
Many complicated network problems can be easily understood on small networks. Difficulties arise when small networks are combined into larger ones. Fortunately, the mathematical th…
The Nyquist theorem for cellular sheaves
Michael Robinson
We develop a unified sampling theory based on sheaves and show that the Shannon-Nyquist theorem is a cohomological consequence of an exact sequence of sheaves. Our theory indicates…