10 citations · 27 across the 20 of their papers we have counts for
4 papers · 1 filter
Sparse Neural Codes and Convexity
R. Amzi Jeffs, Mohamed Omar, Natchanon Suaysom +2
Determining how the brain stores information is one of the most pressing problems in neuroscience. In many instances, the collection of stimuli for a given neuron can be modeled by…
The -analog of Kostant's partition function and the highest root of the classical Lie algebras
Pamela E. Harris, Erik Insko, Mohamed Omar
Kostant's partition function counts the number of ways to represent a particular vector (weight) as a nonnegative integral sum of positive roots of a Lie algebra. For a given weigh…
What makes a neural code convex?
Carina Curto, Elizabeth Gross, Jack Jeffries +5
Neural codes allow the brain to represent, process, and store information about the world. Combinatorial codes, comprised of binary patterns of neural activity, encode information…
Low Degree Nullstellensatz Certificates for 3-Colorability
Bo Li, Benjamin Lowenstein, Mohamed Omar
In a seminal paper, De Loera et. al introduce the algorithm NulLA (Nullstellensatz Linear Algebra) and use it to measure the difficulty of determining if a graph is not 3-colorable…