252 citations · 961 across the 42 of their papers we have counts for
6 papers · 1 filter
A geometric criterion on the equality between BKK bound and intersection index
Tianran Chen
The Bernshtein-Kushnirenko-Khovanskii theorem provides a generic root count for system of Laurent polynomials in terms of the mixed volume of their Newton polytopes (i.e., the BKK…
The loss surface of deep linear networks viewed through the algebraic geometry lens
Dhagash Mehta, Tianran Chen, Tingting Tang +1
By using the viewpoint of modern computational algebraic geometry, we explore properties of the optimization landscapes of the deep linear neural network models. After clarifying o…
A toric deformation method for solving Kuramoto equations
Tianran Chen, Robert Davis
The study of frequency synchronization configurations in Kuramoto models is a ubiquitous mathematical problem that has found applications in many seemingly independent fields. In t…
Excess electron screening of remote donors and mobility in modern GaAs/AlGaAs herostructures
M. Sammon, Tianran Chen, B. I. Shklovskii
In modern GaAs/AlGaAs heterostructures with record high mobilities, a two-dimensional electron gas (2DEG) in a quantum well is provided by two remote donor -layers p…
Memory effect and phase transition in a hierarchical trap model for spin glass
Depei Zhang, Tianran Chen, Marija Vucelja +2
We introduce an efficient dynamical tree method that enables us, for the first time, to explicitly demonstrate thermo-remanent magnetization memory effect in a hierarchical energy…
Charge ordering and non-local correlations in the doped extended Hubbard model
Hanna Terletska, Tianran Chen, Joseph Paki +1
We study the extended Hubbard model away from half-filling on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size . We show that the m…