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density functions

Navigating Safely: Following the Path of Density

5 minute read

Published:

Robots today are more than machines; they’re companions, assistants, and explorers. For these robots to safely navigate dynamic and cluttered environments—like a robot vacuum avoiding toys or a delivery drone dodging pedestrians—they need a clear understanding of their surroundings. One powerful tool they use is density functions, a mathematical framework to represent safe and unsafe areas while guiding them safely toward their goals.

dynamics

Koopman Basics

3 minute read

Published:

In this blog post, we introduce the Koopman operator, a powerful mathematical framework that transforms nonlinear systems into a linear perspective by focusing on observable functions rather than raw state variables.

koopman

Koopman Basics

3 minute read

Published:

In this blog post, we introduce the Koopman operator, a powerful mathematical framework that transforms nonlinear systems into a linear perspective by focusing on observable functions rather than raw state variables.

robotics

Navigating Safely: Following the Path of Density

5 minute read

Published:

Robots today are more than machines; they’re companions, assistants, and explorers. For these robots to safely navigate dynamic and cluttered environments—like a robot vacuum avoiding toys or a delivery drone dodging pedestrians—they need a clear understanding of their surroundings. One powerful tool they use is density functions, a mathematical framework to represent safe and unsafe areas while guiding them safely toward their goals.

safe navigation

Navigating Safely: Following the Path of Density

5 minute read

Published:

Robots today are more than machines; they’re companions, assistants, and explorers. For these robots to safely navigate dynamic and cluttered environments—like a robot vacuum avoiding toys or a delivery drone dodging pedestrians—they need a clear understanding of their surroundings. One powerful tool they use is density functions, a mathematical framework to represent safe and unsafe areas while guiding them safely toward their goals.