41 citations · 264 across the 40 of their papers we have counts for
3 papers · 1 filter
Combinatorics of Place Cell Coactivity and Hippocampal Maps
A. Babichev, D. Ji, F. Memoli +1
It is widely accepted that the hippocampal place cells' spiking activity produces a cognitive map of space. However, many details of this representation's physiological mechanism r…
The Shape of Data and Probability Measures
Diego Hernán Díaz Martínez, Facundo Mémoli, Washington Mio
We introduce the notion of multiscale covariance tensor fields (CTF) associated with Euclidean random variables as a gateway to the shape of their distributions. Multiscale CTFs qu…
Mutiscale Mapper: A Framework for Topological Summarization of Data and Maps
Tamal K. Dey, Facundo Memoli, Yusu Wang
Summarizing topological information from datasets and maps defined on them is a central theme in topological data analysis. \textsf{Mapper}, a tool for such summarization, takes as…