Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and solve the long-standing polaron problem, unlocking deeper understanding of ...

Numerical performance of HPR-LP and cuPDLP.jl on 18 LP relaxations (>10M nonzeros in $A$) from MIPLIB 2017 without Gurobi's presolve. Time limit 18000 seconds. Before ...

Figure 1 A typical regulator output programming network where the Vsense feedback node and values for R1 varies from type to type. Quantitatively, the Vsense feedback node voltage varies from type to ...

While regulators in Europe and the US debate crypto’s future, young Africans are already using blockchain to solve pressing challenges from unstable currencies to internet access. While blockchain ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

New hifiasm-ONT assembly method delivers high-quality, cost-efficient near T2T assemblies using standard Oxford Nanopore Simplex reads, broadening access to comprehensive genome assemblies across ...

Many important practical computations, such as scheduling, combinatorial, and optimization problems, use techniques known as integer programming to find the best combination of many variables. In ...

We study a class of integer bilevel problems, the so-called Integer Linear Multiplicative Bilevel Problem, ILMBP, where the constraints are linear and both the upper level problem and the lower level ...