26 citations · 117 across the 27 of their papers we have counts for
4 papers · 1 filter
Size-biased permutation of a finite sequence with independent and identically distributed terms
Jim Pitman, Ngoc M. Tran
This paper focuses on the size-biased permutation of independent and identically distributed (i.i.d.) positive random variables. This is a finite dimensional analogue of the si…
Robust exponential binary pattern storage in Little-Hopfield networks
Christopher Hillar, Ngoc Tran, Kilian Koepsell
The Little-Hopfield network is an auto-associative computational model of neural memory storage and retrieval. This model is known to robustly store collections of randomly generat…
Polytropes and Tropical Eigenspaces: Cones of Linearity
Ngoc M. Tran
The map which takes a square matrix to its polytrope is piecewise linear. We show that cones of linearity of this map form a polytopal fan partition of $\{R}^{n \times n}$, who…
HodgeRank is the limit of Perron Rank
Ngoc Mai Tran
We study the map which takes an elementwise positive matrix to the k-th root of the principal eigenvector of its k-th Hadamard power. We show that as tends to 0 one recovers th…