Three Duke Rugby players who are math majors tackled a challenge inspired by professional soccer Daniel Cheng, Malachy ...

Abstract: In many areas of knowledge, situations in which we have to model and solve optimization problems are recurrent. Among the mathematical theories that support the solution of such problems, ...

In 2022, global production of construction materials accounted for more than 7% of total carbon emissions. But how many of ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Foundational optimization algorithms are the core driving force behind deep learning, evolving from early stochastic gradient descent (SGD) to the widely adopted Adam family. However, as the scale of ...

Game developers didn’t have it easy in the 1990s. Because they had extremely limited computing power, they had to write their code as efficiently as possible. Consider the first-person shooter Quake ...

The International Conference on Theory and Applications of Satisfiability Testing (SAT) is the premier annual meeting for researchers focusing on the theory and applications of the propositional ...

Optimization is a crucial tool throughout science and technology. Large datasets and high dimensional problems create unique challenges for standard optimization techniques such as Newton’s method, ...

The tfc Python module is designed to help you quickly and easily apply the Theory of Functional Connections (TFC) to optimization problems. For more information on the code itself and code-based ...