PCA & multivariate signal processing, applied to neural data
What you'll learn
- Understand advanced linear algebra methods
- Apply advanced linear algebra methods in MATLAB
- Simulate multivariate data for testing analysis methods
- Analyzing multivariate time series datasets
- Appreciate the challenges neuroscientists are struggling with!
- Learn about modern neuroscience data analysis
Requirements
- Some linear algebra background (or interest in learning!)
- Some neuroscience background (or interest in learning!)
- Some MATLAB programming experience (only to complete exercises)
- Interest in learning applied linear algebra
Description
What is this course all about?
Neuroscience (brain science) is changing -- new brain-imaging technologies are allowing increasingly huge data sets, but analyzing the resulting Big Data is one of the biggest struggles in modern neuroscience (if don't believe me, ask a neuroscientist!).
The increases in the number of simultaneously recorded data channels allows new discoveries about spatiotemporal structure in the brain, but also presents new challenges for data analyses. Because data are stored in matrices, algorithms developed in linear algebra are extremely useful.
The purpose of this course is to teach you some matrix-based data analysis methods in neural time series data, with a focus on multivariate dimensionality reduction and source-separation methods. This includes covariance matrices, principal components analysis (PCA), generalized eigendecomposition (even better than PCA!), and independent components analysis (ICA). The course is mathematically rigorous but is approachable to individuals with no formal mathematics background. MATLAB is the primary numerical processing engine but the material is easily portable to Python or any other language.
You should take this course if you are a...
neuroscience researcher who is looking for ways to analyze your multivariate data.
student who wants to be competitive for a neuroscience PhD or postdoc position.
non-neuroscientist who is interested in learning more about the big questions in modern brain science.
independent learner who wants to advance your linear algebra knowledge.
mathematician, engineer, or physicist who is curious about applied matrix decompositions in neuroscience.
person who wants to learn more about principal components analysis (PCA) and/or independent components analysis (ICA)
intrigued by the image that starts off the Course Preview and want to know what it means! (The answers are in this course!)
Unsure if this course is right for you?
I worked hard to make this course accessible to anyone with at least minimal linear algebra and programming background. But this course is not right for everyone. Check out the preview videos and feel free to contact me if you have any questions.
I look forward to seeing you in the course!
Who this course is for:
- Anyone interested in next-generation neuroscience data analyses
- Learners with interest in applied linear algebra to modern big-data challenges
- Neuroscientists dealing with "big data"
- Mathematicians, engineers, and physicists who are interested in learning about neuroscience data
Course content
- 00:01MATLAB code for this section
- Preview06:44
- Preview10:23
- 07:52What are linear spatial filters?
- 07:48Why spatial filters are useful for neuroscience
- 03:16Using MATLAB in this course
Instructor
![Mike X Cohen](data:image/svg+xml,%3Csvg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 64 64"%3E%3C/svg%3E){kind=avatar}
- 4.6 Instructor Rating
- 21,305 Reviews
- 106,854 Students
- 20 Courses
I am a neuroscientist (brain scientist) and associate professor at the Radboud University in the Netherlands. I have an active research lab that has been funded by the US, German, and Dutch governments, European Union, hospitals, and private organizations.
But you're here because of my teaching, so let me tell you about that:
I have 20 years of experience teaching programming, data analysis, signal processing, statistics, linear algebra, and experiment design. I've taught undergraduate students, PhD candidates, postdoctoral researchers, and full professors. I teach in "traditional" university courses, special week-long intensive courses, and Nobel prize-winning research labs. I have >80 hours of online lectures on neuroscience data analysis that you can find on my website and youtube channel. And I've written several technical books about these topics with a few more on the way.
I'm not trying to show off -- I'm trying to convince you that you've come to the right place to maximize your learning from an instructor who has spent two decades refining and perfecting his teaching style.
Over 94,000 students have watched over 6,500,000 minutes of my courses (that's over 12 years of continuous learning). Come find out why!
I have several free courses that you can enroll in. Try them out! You got nothing to lose ;)
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By popular request, here are suggested course progressions for various educational goals:
MATLAB programming: MATLAB onramp; Master MATLAB; Image Processing
Python programming: Master Python programming by solving scientific projects; Master Math by Coding in Python
Applied linear algebra: Complete Linear Algebra; Dimension Reduction
Signal processing: Understand the Fourier Transform; Generate and visualize data; Signal Processing; Neural signal processing