Computational Neuroscience: Neural Dynamics

"Scheine" are now available in our administrative office on NB/3. Have a good summer semester!

This course provides an introduction into a neural process accounts for perception, motor control, and simple forms of cognition. The vantage point is the dynamical systems approach, which emphasizes the evolution in time of behavior and of neural activation patterns as the basis for understanding how neural networks together with sensory and motor systems generate behavior and cognition. Dynamic stability, a concept shared with the classical biological cybernetics framework, is one cornerstone of the approach. Instabilities (or bifurcations) extend this framework and provide a basis for understanding flexibility, task specific adjustment, adaptation, and learning.

The course will include tutorial modules that provide some of the mathematical foundations. Theoretical concepts will be exposed in reference to a number of experimental model systems such as the perception of motion, visual and spatial working memory, movement planning, and others. In the spirit of Braitenberg´s "synthetic psychology", autonomous robots will be used to illustrate some of the ideas.

Exercises are integrated into the lectures. They consist of elementary mathematical exercises, the design of (thought) experiments and their analysis, and analysis of theoretical models and their relationship to experiment, all on the basis of the theoretical framework exposed in the main lectures. Learning to produce scientific texts with appropriate illustrations and documenting mathematical ideas is one of the learning goals of the course.

Some of the exercises refer to readings, scientific papers that students will study to do the exercises. Learning to read and understand research papers is another learning goal of the course.

Lecturers

Details

Course type
Lectures
Credits
6 CP
Term
Winter Term 2017/2018

Dates

Lecture
Takes place every week on Thursday from 14:15 to 16:00 in room NB 3/57.
First appointment is on 12.10.2017
Last appointment is on 01.02.2018
Exercise
Takes place every week on Thursday from 16:15 to 17:00 in room NB 3/57.
First appointment is on 12.10.2017
Last appointment is on 01.02.2018

Requirements

This course requires some basic math preparation, typically as covered in two semesters of higher mathematics (functions, differentiation, integration, differential equations, linear algebra). The course does not make extensive use of the underlying mathematical techniques, but uses the mathematical concepts to express scientific ideas. Students without prior training in the relevant mathematics may be able to follow the course, but will have to work harder to familiarize themselves with the concepts.


Exercises

Exercises are corrected and held by Jean-Stéphane Jokeit. Details on grading are available in the course rules below.

Literature

The course will be based on selected chapters of a textbook (Dynamic Thinking: A Primer on Dynamic Field Theory by Schöner, G., Spencer, J, and the DFT Research Group, Oxford University Press). The first two chapters are available for download in the course materials below. These and others will also serve as readings for some of the exercises. 

For the mathematical background in dynamical systems an excellent resource is a book that is available online as a free download (thanks to the author's generosity): Edward R. Scheinerman's Invitation to Dynamical Systems.  This book covers both discrete and continuous time dynamical systems, while in the course we will only make use of continuous time dynamical systems formalized as differential equations. 

Documents

Lecture slides Organizational issues
Document Rules for bonus points, credit, final exam
Lecture slides Introductory remarks
Lecture slides Braitenberg vehicles as conceptual embodied nervous systems
Exercises "Live" exercise session on Braitenberg vehicles
Lecture slides Neural Dynamics Part 1
Exercises Live exercise session 2, neural dynamics
Exercises Hand-in exercise 3 neural dynamics
Document Reading: Chapter 1 of DFT Book

(use for Exercise 3)

Lecture slides Neural Dynamics Part 2
Exercises Live exercise session 3 on exercise sheet 4: competitive neural dynamics
Lecture slides Neurophysics Tutorial
Exercises Hand-in exercise 5: neural dynamics with interaction
Lecture slides Dynamic Field Theory Part 1: Activation fields, dimensions, neural grounding
Exercises Exercise 6 / Essay task on the neural foundations of DFT
Document Reading for Exercise 6/Essay and background to the DFT Lecture Part 1
Lecture slides Dynamic Field Theory Part 2: Dynamics of activation fields
Exercises Live exercise session 4 on exercise sheet 7: dynamics of activation fields
Document Background reading: Chapter 2 of DFT book
Lecture slides Tutorial on Dynamical Systems
Exercises Live exercise, exercise sheet 9: memory trace
Lecture slides Learning in Dynamic Field Theory: The Memory Trace
Lecture slides How to organize behaviors in DFT
Exercises Live exercise: Serial order
Lecture slides Behavioral Dynamics and DFT
Exercises Live exercise: embodied dynamics
Exercises Mini-essay exercise on Chapter 4 of the DFT book
Document Reading for Exercise 10: Chapter 4 of DFT book
Lecture slides Lecture on hIgher-dimensional Dynamic Fields
Lecture slides Lecture on the perceptual grounding of spatial language
Lecture slides Summary of course
Document List of appointments with candidates for oral exam

The Institut für Neuroinformatik (INI) is a central research unit of the Ruhr-Universität Bochum. We aim to understand the fundamental principles through which organisms generate behavior and cognition while linked to their environments through sensory systems and while acting in those environments through effector systems. Inspired by our insights into such natural cognitive systems, we seek new solutions to problems of information processing in artificial cognitive systems. We draw from a variety of disciplines that include experimental approaches from psychology and neurophysiology as well as theoretical approaches from physics, mathematics, electrical engineering and applied computer science.

Universitätsstr. 150, Building NB, Room 3/32
D-44801 Bochum, Germany

Tel: (+49) 234 32-28967
Fax: (+49) 234 32-14210