The Geometry of Emotion

Emotion is at the core of what makes us human. Evidence is growing that emotion isn’t a uniquely human phenomenon. Besides the ethical issues this raises, emotion becomes a central object of study for the study of intelligence. My interests in the mathematical modeling of emotion centers on the treatment of mood disorders as well as the translation of emotion into AI systems.

Understanding dynamics

We know the brain exhibist dynamics, or a set of rules that govern how states change over time.

  • Get comfortable with dynamics through point-and-click visualizations here
  • Start messing with some more advanced dynamics by studying how vector fields interact here

Topology of Emotion

Do emotions ’live near’ each other? How can we quantify the neighborhoods that emotions form? These questions fall under the broader study of the topology of emotion. Topology is focused on understanding the notion of neighborhoods in a “global” sense.

  • Stay tuned for more details here

Geometry of Emotion

How do we transition between emotions? Is it a smooth transition or some discrete process? These questions fall under the realm of understanding the geometry of emotions. Geometry is focused on understanding “local” properties of sets and some transition between elements of those sets.

  • Stay tuned for more details here
Head of Applied Science, Senior Product Manager

Neuroengineer, Control Theorist.