Vu Trung Hieu

About

I was a doctoral student at Sorbonne Université from 2020 to 2022. My doctoral thesis focused on exact certificates of positivity for polynomials based on sum of squares decompositions with rational coefficients.

I was also an early-stage researcher of the POEMA Consortium granted by Marie Sklodowska-Curie Actions. For now, I am an ERCIM postdoctoral fellow.

My given name is Hiếu. I would prefer people call me by that name in both formal and informal circumstances.

Research

Exact computation in optimization with polynomial data
Solution existence and stability in polynomial optimization and variational inequality
Topological properties of solution sets in vector optimization/variational inequality

Publications

Vu Trung Hieu, Akiko Takeda, Computing local minimizers in polynomial optimization under genericity conditions, submitted, November 2023

Victor Magron, Mohab Safey El Din, Trung Hieu Vu: Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients, SIAM Journal on Optimization, 33 (2023)

Vu Trung Hieu: On the Nonemptiness and Boundedness of Solution Sets of Weakly Homogeneous Optimization Problems, Set-Valued and Variational Analysis, 30 (2022)

Victor Magron, Mohab Safey El Din, Markus Schweighofer, Trung Hieu Vu: Exact SOHS decompositions of trigonometric univariate polynomials with Gaussian coefficients, Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, (2022)

Vu Trung Hieu: On the solution existence and stability of polynomial optimization problems, Optimization Letters, 16 (2022)

Vu Trung Hieu: Disconnectedness and unboundedness of the solution sets of monotone vector variational inequalities, Applicable Analysis, 100 (2021)

Vu Trung Hieu: Solution maps of polynomial variational inequalities, Journal of Global Optimization, 77 (2020)

Vu Trung Hieu: An application of the Tarski-Seidenberg theorem with quantifiers to vector variational inequalities, Minimax Theory and its Applications, 5 (2020)

Vu Trung Hieu, Yimin Wei, Jen-Chih Yao: Notes on the optimization problems corresponding to polynomial complementarity problems, Journal of Optimization Theory and Applications, 184 (2020)

Vu Trung Hieu: On the R0-tensors and the solution map of tensor complementarity problems, Journal of Optimization Theory and Applications, 181 (2019)

Vu Trung Hieu: On the numbers of connected components in the solution sets of polynomial vector variational inequalities, Journal of Optimization Theory and Applications, 181 (2019)

Vu Trung Hieu: Numbers of the connected components of the solution sets of monotone affine vector variational inequalities, Journal of Global Optimization, 73 (2019)

Språkvelger

Vu Trung Hieu

Vu Trung Hieu

About

Research

Publications