6 citations · 7 across the 10 of their papers we have counts for
11 papers
Some new concentration inequalities for the Itô stochastic integral
Nguyen Tien Dung
In this paper, based on the techniques of Malliavin calculus, we provide some new concentration inequalities for the running supremum of the Itô stochastic integral with unbounded…
Some identities for the Narayana polynomial and its derivatives
Nguyen Tien Dung
In this note, by employing a nice property of semicircular distributions, we derive some identities for the Narayana polynomial and its derivatives.
Rates of Fisher information convergence in the central limit theorem for nonlinear statistics
Nguyen Tien Dung
We develop a general method to study the Fisher information distance in central limit theorem for nonlinear statistics. We first construct completely new representations for the sc…
Density estimates for the exponential functionals of fractional Brownian motion
Nguyen Tien Dung, Nguyen Thu Hang, Pham Thi Phuong Thuy
In this note, we investigate the density of the exponential functional of the fractional Brownian motion. Based on the techniques of Malliavin's calculus, we provide a log-normal u…
On the density of nonlinear statistics
Nguyen Tien Dung
In this note, we revisit a classical problem related to the density of nonlinear statistics. We obtain a new representation of densities and, for the first time, a necessary and su…
Rates of convergence in the CLT for nonlinear statistics under relaxed moment conditions
Nguyen Tien Dung
This paper is concerned with normal approximation under relaxed moment conditions using Stein's method. We obtain the explicit rates of convergence in the central limit theorem for…
A variance-sensitive Gaussian concentration inequality
Nguyen Tien Dung
In this note, we obtain a Gaussian concentration inequality for a class of non-Lipschitz functions. In the one-dimensional case, our results supplement those established by Paouris…
Join Processing for Graph Patterns: An Old Dog with New Tricks
Dung Nguyen, Molham Aref, Martin Bravenboer +4
Join optimization has been dominated by Selinger-style, pairwise optimizers for decades. But, Selinger-style algorithms are asymptotically suboptimal for applications in graphic an…
A cellular basis of the -Brauer algebra related with Murphy bases of the Hecke algebras
Dung Tien Nguyen
A new basis of the -Brauer algebra is introduced, which is a lift of Murphy bases of Hecke algebras of symmetric groups. This basis is a cellular basis in the sense of Graham an…
Beyond Worst-Case Analysis for Joins with Minesweeper
Hung Q. Ngo, Dung T. Nguyen, Christopher Ré +1
We describe a new algorithm, Minesweeper, that is able to satisfy stronger runtime guarantees than previous join algorithms (colloquially, `beyond worst-case guarantees') for data…
Cellular structure of -Brauer algebras
Dung Tien Nguyen
In this paper we consider the -Brauer algebra over a commutative noetherian domain. We first construct a new basis for -Brauer algebras, and we then prove that it is a ce…