43 citations · 239 across the 66 of their papers we have counts for
6 papers · 1 filter
A more direct and better variant of New Q-Newton's method Backtracking for m equations in m variables
Tuyen Trung Truong
In this paper we apply the ideas of New Q-Newton's method directly to a system of equations, utilising the specialties of the cost function , where …
Generalisations and improvements of New Q-Newton's method Backtracking
Tuyen Trung Truong
In this paper, we propose a general framework for the algorithm New Q-Newton's method Backtracking, developed in the author's previous work. For a symmetric, square real matrix …
New Q-Newton's method meets Backtracking line search: good convergence guarantee, saddle points avoidance, quadratic rate of convergence, and easy implementation
Tuyen Trung Truong
In a recent joint work, the author has developed a modification of Newton's method, named New Q-Newton's method, which can avoid saddle points and has quadratic rate of convergence…
An inequality on polarized endomorphisms
Fei Hu, Tuyen Trung Truong
We show that assuming the standard conjectures, for any smooth projective variety of dimension over an algebraically closed field, there is a constant such that for a…
CapillaryNet: An Automated System to Quantify Skin Capillary Density and Red Blood Cell Velocity from Handheld Vital Microscopy
Maged Helmy, Anastasiya Dykyy, Tuyen Trung Truong +2
Capillaries are the smallest vessels in the body responsible for delivering oxygen and nutrients to surrounding cells. Various life-threatening diseases are known to alter the dens…
A dynamical approach to generalized Weil's Riemann hypothesis and semisimplicity
Fei Hu, Tuyen Trung Truong
Let be a smooth projective variety over an algebraically closed field of arbitrary characteristic, and a dynamical correspondence of . In 2016, the second author conject…