How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Abstract: The Nelder-Mead simplex method is a well-known algorithm enabling the minimization of functions that are not available in closed-form and that need not be differentiable or convex.

PartiMIP is an innovative framework for parallel mixed integer programming (MIP) solving that achieves efficient parallelization through dynamic task decomposition. Both the scheduler and worker ...

Source code for the paper: Jingwei Huang, Yichao Zhou, Matthias Niessner, Jonathan Shewchuk and Leonidas Guibas. QuadriFlow: A Scalable and Robust Method for Quadrangulation, The Eurographics ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

Resource allocation of wide-area internet networks is inherently a combinatorial optimization problem that if solved quickly, could provide near real-time adaptive control of internet-protocol traffic ...

1 Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh. 2 General Education Department, City University, Dhaka, Bangladesh. 3 Department of Mathematics, ...

Since its creation more than two decades ago by Daniel Spielman (above) and Shang-hua Teng, smoothed analysis has been used to analyze performance of algorithms other than the simplex method, ...