55 citations
- Vietnam Academy of Science and TechnologyVN3 papers
- Institute of MathematicsPL2 papers
- Basque Center for Applied MathematicsES1 paper
- Braude College of Engineering KarmielIL1 paper
- Far Eastern Federal UniversityRU1 paper
- FPT UniversityVN1 paper
- Hampton UniversityUS1 paper
- Hanoi Pedagogical University 2VN1 paper
- Ho Chi Minh City University of ScienceVN1 paper
- Institut Denis PoissonFR1 paper
- Institute for Nuclear Science and TechnologyVN1 paper
- Instituto Politécnico NacionalMX1 paper
19 papers
FC-KAN: Function Combinations in Kolmogorov-Arnold Networks
Hoang-Thang Ta, Duy-Quy Thai, Abu Bakar Siddiqur Rahman +2
In this paper, we introduce FC-KAN, a Kolmogorov-Arnold Network (KAN) that leverages combinations of popular mathematical functions such as B-splines, wavelets, and radial basis fu…
Newton polytope of good symmetric polynomials
Khanh Nguyen Duc, Nguyen Thi Ngoc Giao, Dang Tuan Hiep +1
We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous pr…
A characterization of the algebraic degree in semidefinite programming
Dang Tuan Hiep, Nguyen Thi Ngoc Giao, Nguyen Thi Mai Van
In this article, we show that the algebraic degree in semidefinite programming can be expressed in terms of the coefficient of a certain monomial in a doubly symmetric polynomial.…
A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
Khanh Nguyen Duc, Dang Tuan Hiep, Tran Ha Son +1
We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs of Schur polynomials. This paper aims to establish a version of the Murnaghan…
Computing Dynamic User Equilibrium on Large-Scale Networks Without Knowing Global Parameters
Duong Viet Thong, Aviv Gibali, Mathias Staudigl +1
Dynamic user equilibrium (DUE) is a Nash-like solution concept describing an equilibrium in dynamic traffic systems over a fixed planning period. DUE is a challenging class of equi…
Openness, Holder metric regularity and Holder continuity properties of semialgebraic set-valued maps
Jae Hyoung Lee, Tien-Son Pham
Given a semialgebraic set-valued map with closed graph, we show that the map is Holder metrically subregular and that the…