Critical Orientation of Mathematics to Produce Advancements in Science and Security (COMPASS)

Mathematics is a pillar of national security. A decision-maker’s ability to synchronize military activities across five domains (i.e., air, land, maritime, space, and cyberspace), and adapt to rapidly changing threat landscapes hinges on robust mathematical frameworks and effective problem formulations that fully encapsulate the complexities of real-world operational environments. Unfortunately, mathematical approaches in Defense often rely on “good-enough” approximations, resulting in fragile solutions that severely limit our nation’s ability to address these evolving challenges in future conflicts. In contrast, establishing robust mathematical frameworks and properly formulating problems can yield profound and wide-reaching results.

For instance, the Wiener filter1 was developed .... Read More

Mathematics is a pillar of national security. A decision-maker’s ability to synchronize military activities across five domains (i.e., air, land, maritime, space, and cyberspace), and adapt to rapidly changing threat landscapes hinges on robust mathematical frameworks and effective problem formulations that fully encapsulate the complexities of real-world operational environments. Unfortunately, mathematical approaches in Defense often rely on “good-enough” approximations, resulting in fragile solutions that severely limit our nation’s ability to address these evolving challenges in future conflicts. In contrast, establishing robust mathematical frameworks and properly formulating problems can yield profound and wide-reaching results.

For instance, the Wiener filter1 was developed .... Read More

Mathematics is a pillar of national security. A decision-maker’s ability to synchronize military activities across five domains (i.e., air, land, maritime, space, and cyberspace), and adapt to rapidly changing threat landscapes hinges on robust mathematical frameworks and effective problem formulations that fully encapsulate the complexities of real-world operational environments. Unfortunately, mathematical approaches in Defense often rely on “good-enough” approximations, resulting in fragile solutions that severely limit our nation’s ability to address these evolving challenges in future conflicts. In contrast, establishing robust mathematical frameworks and properly formulating problems can yield profound and wide-reaching results.

For instance, the Wiener filter1 was developed .... Read More