Topological Maps from Signals

TL;DR

This paper explores methods for reconstructing topological maps of environments using sequences of location data, with applications in neuroscience and wireless connectivity mapping.

Contribution

It introduces a framework for deriving topological maps from sequential signals, bridging neuroscience and wireless network applications.

Findings

Demonstrates successful topological reconstruction from neural activation patterns.

Shows applicability to wifi connectivity mapping.

Provides insights into the relationship between signals and environment topology.

Abstract

We discuss the task of reconstructing the topological map of an environment based on the sequences of locations visited by a mobile agent -- this occurs in systems neuroscience, where one runs into the task of reconstructing the global topological map of the environment based on activation patterns of the place coding cells in hippocampus area of the brain. A similar task appears in the context of establishing wifi connectivity maps.