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Linear Systems I (Intro Lecture)

Difficulty level
Beginner
Speaker

Neuromatch Academy aims to introduce traditional and emerging tools of computational neuroscience to trainees. It is appropriate for student population ranging from undergraduates to faculty in academic settings and also includes industry professionals. In addition to teaching the technical details of computational methods, Neuromatch Academy also provide a curriculum centered on modern neuroscience concepts taught by leading professors along with explicit instruction on how and why to apply models. 

 

This lecture provides an introduction to linear systems.

Topics covered in this lesson
  • Introduction to the dynamic features of the brain and their allied dynamical systems description
  • Twin perspectives from dynamical systems: geometric and algorithmic/computational
  • Motivation for linear dynamical systems in terms of approximations near equilibria and see how useful this approximation is in terms of geometrical approaches (eigenvector decompositions)
  • Treatment of time-dependent systems, including those driven by stochastic signals or noise, and close with examples on how networks and the activity that they produce co-evolve over time
Prerequisites

Experience with Python Programming Language.

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