Complex systems · Talk slides
Low-rank hypothesis of complex systems
A 57-slide introduction to dimensional reduction and low-rank structure in complex networks and ecosystems.
High-dimensional systems often display behavior controlled by a much smaller number of collective directions. This talk develops the idea that low-rank structure can provide a useful organizing principle for complex networks and ecosystems.
What the slides explore
- Why dimensional reduction can work in complex systems
- Low-rank representations of high-dimensional interactions
- Collective variables and effective descriptions
- Examples motivated by complex networks and ecosystems
The deck is intended as a visual introduction to the hypothesis and the questions it suggests, rather than a self-contained technical paper.