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math.OC2019
Discrete Dynamical System Approaches for Boolean Polynomial Optimization
Yi-Shuai Niu, Roland Glowinski
In this article, we discuss the numerical solution of Boolean polynomial programs by algorithms borrowing from numerical methods for differential equations, namely the Houbolt sche…
math.OC2019
High-order Moment Portfolio Optimization via An Accelerated Difference-of-Convex Programming Approach and Sums-of-Squares
Yi-Shuai Niu, Ya-Juan Wang, Hoai An Le Thi +1
The Mean-Variance-Skewness-Kurtosis (MVSK) portfolio optimization model is a quartic nonconvex polynomial minimization problem over a polytope, which can be formulated as a Differe…
cs.CL2019
Sentence Compression via DC Programming Approach
Yi-Shuai Niu, Xi-Wei Hu, Yu You +2
Sentence compression is an important problem in natural language processing. In this paper, we firstly establish a new sentence compression model based on the probability model and…