4 ms·
Are there any good references for this approach (via generalized Fourier transforms)?
by memexy 6y ago
Are there any good references for this approach (via generalized Fourier transforms)?
- kcoul 6y agoI wouldn’t call this 3blue1brown video a reference, but until I watched this (coming from an audio background), I didn’t quite grasp that a continuous stencil of any complex silhouette could be described in terms of a set of contributing vectors. Helped click that there is a perfect visual analogy to the deconstruction of complex audio to sine waves. https://youtu.be/r6sGWTCMz2k https://youtu.be/r6sGWTCMz2k
- pathsjs 6y agoYes: Folland, A course in abstract harmonic analysis, CRC press
- bollu 6y agoThere is a thesis by Kondor: "Group theoretical methods for machine learning" - https://people.cs.uchicago.edu/~risi/papers/KondorThesis.pdf https://people.cs.uchicago.edu/~risi/papers/KondorThesis.pdf which provides links to the associated literature. The documentation of his library (SnOB) is great: http://www.gatsby.ucl.ac.uk/~risi/SnOB/SnOB/SnOB.pdf http://www.gatsby.ucl.ac.uk/~risi/SnOB/SnOB/SnOB.pdf introductory slides on representation theory in machine learning: http://www.gatsby.ucl.ac.uk/~risi/courses/mini08/symmetric.pdf http://www.gatsby.ucl.ac.uk/~risi/courses/mini08/symmetric.p... Full mini course: http://www.gatsby.ucl.ac.uk/~risi/courses/mini08/mini08.html http://www.gatsby.ucl.ac.uk/~risi/courses/mini08/mini08.html
- memexy 6y agoThanks. These all look very readable.
- sdenton4 6y agoPersi Diaconis' book is excellent. You come away with the proof that it takes seven shuffles to fully randomize a deck of cards... https://www.amazon.com/Group-Representations-Probability-Statistics-Lecture/dp/0940600145 https://www.amazon.com/Group-Representations-Probability-Sta...