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Dongning Wang

Publications and source records attributed to Dongning Wang.

4 recordsLinked to original sources
arXiv2018

Ordinal Regression using Noisy Pairwise Comparisons for Body Mass Index Range Estimation

Ordinal regression aims to classify instances into ordinal categories. In this paper, body mass index (BMI) category estimation from facial images is cast as an ordinal regression problem. In particular, noisy binary search algorithms based on pairwise comparisons are employed to exploit the ordinal relationship among BMI categories. Comparisons are performed with Siamese architectures, one of which uses the Bradley-Terry model probabilities as target. The Bradley-Terry model is an approach to describe probabilities of the possible outcomes when elements of a set are repeatedly compared with one another in pairs. Experimental results show that our approach outperforms classification and regression-based methods at estimating BMI categories.

cs.CV↗
arXiv2016

Compactness in the adiabatic limit of disk vortices

This paper is the first input towards an open analogue of the quantum Kirwan map. We consider the adiabatic limit of the symplectic vortex equation over the unit disk for a Hamiltonian G-manifold with Lagrangian boundary condition, by blowing up the metric on the disk. We define an appropriate notion of stable solutions in the limit, and prove that any sequence of disk vortices with energy uniformly bounded has a subsequence converging to such a stable object. We also proved several analytical properties of vortices over the upper half plane, which are new type of bubbles appearing in our compactification.

math.SG↗
arXiv2012

Seidel Representation for Symplectic Orbifolds

Let $(\X,ω)$ be a compact symplectic orbifold. We define $π_1(Ham(\X, ω))$, the fundamental group of the 2-group of Hamiltonian diffeomorphisms of $(\X, ω)$, and construct a group homomorphism from $π_1(Ham(\X, ω))$ to the group $QH_{orb}^*(\X,Λ)^{\times}$ of multiplicatively invertible elements in the orbifold quantum cohomology ring of $(\X, ω)$. This extends the Seidel representation ([Se], [M]) to symplectic orbifolds.

math.SG↗