33 citations · 55 across the 10 of their papers we have counts for
10 papers
On Modelling and Complete Solutions to General Fixpoint Problems in Multi-Scale Systems with Applications
Ning Ruan, David Yang Gao
This paper revisits the well-studied fixed point problem from a unified viewpoint of mathematical modeling and canonical duality theory, i.e. the original problem is first reformul…
Canonical Duality-Triality Theory: Bridge Between Nonconvex Analysis/Mechanics and Global Optimization in Complex Systems
David Y Gao, Ning Ruan, Vittorio Latorre
Canonical duality-triality is a breakthrough methodological theory, which can be used not only for modeling complex systems within a unified framework, but also for solving a wide…
Hub-Accelerator: Fast and Exact Shortest Path Computation in Large Social Networks
Ruoming Jin, Ning Ruan, Bo You +1
Shortest path computation is one of the most fundamental operations for managing and analyzing large social networks. Though existing techniques are quite effective for finding the…
Global Optimal Solutions to General Sensor Network Localization Problem
Ning Ruan, David Y Gao
Sensor network localization problem is to determine the position of the sensor nodes in a network given pairwise distance measurements. Such problem can be formulated as a polynomi…
Complete solutions to nonconvex fractional programming problems
David Yang Gao, Ning Ruan
This paper presents a canonical dual approach to the problem of minimizing the sum of a quadratic function and the ratio of nonconvex function and quadratic functions, which is a t…
Canonical Solutions to Nonconvex Minimization Problems over Lorentz Cone
Ning Ruan, David Yang Gao
This paper presents a canonical dual approach for solving nonconvex quadratic minimization problem. By using the canonical duality theory, nonconvex primal minimization problems ov…