This course provides an introduction to basic computational methods for understanding what nervous systems do and for determining how they function. We will explore the computational principles governing various aspects of vision, sensory-motor control, learning, and memory. Specific topics that will be covered include representation of information by spiking neurons, processing of information in neural networks, and algorithms for adaptation and learning. We will make use of Matlab/Octave/Python demonstrations and exercises to gain a deeper understanding of concepts and methods introduced in the course. The course is primarily aimed at third- or fourth-year undergraduates and beginning graduate students, as well as professionals and distance learners interested in learning how the brain processes information.
This module includes an Introduction to Computational Neuroscience, along with a primer on Basic Neurobiology.
1.3 Computational Neuroscience: Mechanistic and Interpretive Models•13 minutes
1.4 The Electrical Personality of Neurons•23 minutes
1.5 Making Connections: Synapses•20 minutes
1.6 Time to Network: Brain Areas and their Function•17 minutes
5 readings•Total 50 minutes
Welcome Message & Course Logistics•10 minutes
About the Course Staff•10 minutes
Week 1 Lecture Notes•10 minutes
Matlab Information and Tutorials•10 minutes
Python Information and Tutorials•10 minutes
2 assignments•Total 60 minutes
Matlab/Octave Programming•30 minutes
Python Programming•30 minutes
What do Neurons Encode? Neural Encoding Models (Adrienne Fairhall)
Module 2•4 hours to complete
Module details
This module introduces you to the captivating world of neural information coding. You will learn about the technologies that are used to record brain activity. We will then develop some mathematical formulations that allow us to characterize spikes from neurons as a code, at increasing levels of detail. Finally we investigate variability and noise in the brain, and how our models can accommodate them.
What's included
8 videos1 reading1 assignment
Show info about module content
8 videos•Total 167 minutes
2.1 What is the Neural Code?•19 minutes
2.2 Neural Encoding: Simple Models•12 minutes
2.3 Neural Encoding: Feature Selection•22 minutes
2.4 Neural Encoding: Variability•24 minutes
Vectors and Functions (by Rich Pang)•30 minutes
Convolutions and Linear Systems (by Rich Pang)•16 minutes
Change of Basis and PCA (by Rich Pang)•19 minutes
Welcome to the Eigenworld! (by Rich Pang)•24 minutes
1 reading•Total 10 minutes
Week 2 Lecture Notes and Tutorials•10 minutes
1 assignment•Total 60 minutes
Spike Triggered Averages: A Glimpse Into Neural Encoding •60 minutes
Extracting Information from Neurons: Neural Decoding (Adrienne Fairhall)
Module 3•3 hours to complete
Module details
In this module, we turn the question of neural encoding around and ask: can we estimate what the brain is seeing, intending, or experiencing just from its neural activity? This is the problem of neural decoding and it is playing an increasingly important role in applications such as neuroprosthetics and brain-computer interfaces, where the interface must decode a person's movement intentions from neural activity. As a bonus for this module, you get to enjoy a guest lecture by well-known computational neuroscientist Fred Rieke.
What's included
6 videos1 reading1 assignment
Show info about module content
6 videos•Total 114 minutes
3.1 Neural Decoding and Signal Detection Theory•19 minutes
3.2 Population Coding and Bayesian Estimation•25 minutes
Fred Rieke on Visual Processing in the Retina•14 minutes
Gaussians in One Dimension (by Rich Pang)•31 minutes
Probability distributions in 2D and Bayes' Rule (by Rich Pang)•14 minutes
1 reading•Total 10 minutes
Week 3 Lecture Notes and Supplementary Material•10 minutes
1 assignment•Total 30 minutes
Neural Decoding•30 minutes
Information Theory & Neural Coding (Adrienne Fairhall)
Module 4•3 hours to complete
Module details
This module will unravel the intimate connections between the venerable field of information theory and that equally venerable object called our brain.
What's included
5 videos1 reading1 assignment
Show info about module content
5 videos•Total 98 minutes
4.1 Information and Entropy•19 minutes
4.2 Calculating Information in Spike Trains•17 minutes
4.3 Coding Principles•19 minutes
What's up with entropy? (by Rich Pang)•26 minutes
Information theory? That's crazy! (by Rich Pang)•17 minutes
1 reading•Total 10 minutes
Week 4 Lecture Notes and Supplementary Material•10 minutes
1 assignment•Total 60 minutes
Information Theory & Neural Coding•60 minutes
Computing in Carbon (Adrienne Fairhall)
Module 5•4 hours to complete
Module details
This module takes you into the world of biophysics of neurons, where you will meet one of the most famous mathematical models in neuroscience, the Hodgkin-Huxley model of action potential (spike) generation. We will also delve into other models of neurons and learn how to model a neuron's structure, including those intricate branches called dendrites.
What's included
7 videos1 reading1 assignment
Show info about module content
7 videos•Total 114 minutes
5.1 Modeling Neurons•14 minutes
5.2 Spikes•14 minutes
5.3 Simplified Model Neurons•19 minutes
5.4 A Forest of Dendrites•19 minutes
Eric Shea-Brown on Neural Correlations and Synchrony•23 minutes
Dynamical Systems Theory Intro Part 1: Fixed points (by Rich Pang)•12 minutes
Dynamical Systems Theory Intro Part 2: Nullclines (by Rich Pang)•13 minutes
1 reading•Total 10 minutes
Week 5 Lecture Notes and Supplementary Material•10 minutes
1 assignment•Total 90 minutes
Computing in Carbon•90 minutes
Computing with Networks (Rajesh Rao)
Module 6•2 hours to complete
Module details
This module explores how models of neurons can be connected to create network models. The first lecture shows you how to model those remarkable connections between neurons called synapses. This lecture will leave you in the company of a simple network of integrate-and-fire neurons which follow each other or dance in synchrony. In the second lecture, you will learn about firing rate models and feedforward networks, which transform their inputs to outputs in a single "feedforward" pass. The last lecture takes you to the dynamic world of recurrent networks, which use feedback between neurons for amplification, memory, attention, oscillations, and more!
What's included
3 videos1 reading1 assignment
Show info about module content
3 videos•Total 72 minutes
6.1 Modeling Connections Between Neurons•24 minutes
6.2 Introduction to Network Models•22 minutes
6.3 The Fascinating World of Recurrent Networks•26 minutes
1 reading•Total 10 minutes
Week 6 Lecture Notes and Tutorials•10 minutes
1 assignment•Total 60 minutes
Computing with Networks•60 minutes
Networks that Learn: Plasticity in the Brain & Learning (Rajesh Rao)
Module 7•3 hours to complete
Module details
This module investigates models of synaptic plasticity and learning in the brain, including a Canadian psychologist's prescient prescription for how neurons ought to learn (Hebbian learning) and the revelation that brains can do statistics (even if we ourselves sometimes cannot)! The next two lectures explore unsupervised learning and theories of brain function based on sparse coding and predictive coding.
What's included
4 videos1 reading1 assignment
Show info about module content
4 videos•Total 86 minutes
7.1 Synaptic Plasticity, Hebb's Rule, and Statistical Learning•24 minutes
7.2 Introduction to Unsupervised Learning•22 minutes
7.3 Sparse Coding and Predictive Coding•24 minutes
Gradient Ascent and Descent (by Rich Pang)•16 minutes
1 reading•Total 10 minutes
Week 7 Lecture Notes and Tutorials•10 minutes
1 assignment•Total 60 minutes
Networks that Learn•60 minutes
Learning from Supervision and Rewards (Rajesh Rao)
Module 8•2 hours to complete
Module details
In this last module, we explore supervised learning and reinforcement learning. The first lecture introduces you to supervised learning with the help of famous faces from politics and Bollywood, casts neurons as classifiers, and gives you a taste of that bedrock of supervised learning, backpropagation, with whose help you will learn to back a truck into a loading dock.The second and third lectures focus on reinforcement learning. The second lecture will teach you how to predict rewards à la Pavlov's dog and will explore the connection to that important reward-related chemical in our brains: dopamine. In the third lecture, we will learn how to select the best actions for maximizing rewards, and examine a possible neural implementation of our computational model in the brain region known as the basal ganglia. The grand finale: flying a helicopter using reinforcement learning!
What's included
4 videos1 reading1 assignment
Show info about module content
4 videos•Total 79 minutes
8.1 Neurons as Classifiers and Supervised Learning•26 minutes
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M
MA
4·
Reviewed on Jul 12, 2017
A good look at mathematical models focusing mainly at the synapse and neuron level. The math came a little fast and furious for my 30+ years antique math training.
H
HS
5·
Reviewed on May 17, 2020
Excellent course! The field of comp neuro was brough to life by the instructors! The exercises really helped in understanding the content.
A
AG
5·
Reviewed on Jun 10, 2020
Brilliant course. For a HS student the math was challenging, but the quizzes and assignments were perfect. The tutorials and supplementary materials are super helpful. All in all, I loved it.
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