Uploaded January 2021 | Updated September 2026, 1 day ago
We open this lecture with a discussion of how advancements in science and technology come from a consumer demand for better toys. We also give an introduction to Principle Component Analysis (PCA). We talk about how to arrange data, shift it, and the find the principle components of our dataset. We conclude with a discussion of an example of PCA being applied in astronomy; a method called PCA Tomography for the exploration of data cubes.
PCA and Kernel PCA Derivation: youtu.be/Zd4ADCBWqFY
More on the Kernel Definition and RBF Interpolation: youtu.be/QMXwJX9ffJo
Music:
Come 2gether by Ooyy
Video Call from Los Angeles by Trevor Kolwalski
Guardians + Tek by Craig Hardgrove
We open this lecture with a discussion of how advancements in science and technology come from a consumer demand for better toys. We also give an introduction to Principle Component Analysis (PCA). We talk about how to arrange data, shift it, and the find the principle components of our dataset. We conclude with a discussion of an example of PCA being applied in astronomy; a method called PCA Tomography for the exploration of data cubes.
PCA and Kernel PCA Derivation: youtu.be/Zd4ADCBWqFY
More on the Kernel Definition and RBF Interpolation: youtu.be/QMXwJX9ffJo
Music:
Come 2gether by Ooyy
Video Call from Los Angeles by Trevor Kolwalski
Guardians + Tek by Craig Hardgrove







![Getting caught with facial recognition - How SVDs are used in Facial Recognition Software
This video builds on the SVD concepts of the previous videos, where I talk about the algorithm from the paper Eigenfaces for Recognition. These tools are used everywhere from law enforcement (such as tracking down the rioters at the Capitol) to unlocking your cell phone.
Followup Video: https://youtu.be/WnsKGBy1PXQ
Music:
Come 2gether by Ooyy
Guardians + Tek by Craig Hardgrove
Images:
Lectern Photo by Win McNamee/Getty Images (Used under Fair Use for an educational video)
Face Data obtained from http://www.databookuw.com/ the readme states
This data is modified from the Extended Yale Face Database B. If using this data, please also cite the following two papers:
[1] A. S. Georghiades, P. N. Belhumeur, and D. J. Kriegman, From few to many: Illumination cone models for face recognition under variable lighting and pose, IEEE Trans. Pattern Anal. Mach. Intell., 23 (2001), pp. 643–660.
[2] K. Lee, J. Ho, and D. J. Kriegman, Acquiring linear subspaces for face recognition under variable lighting, IEEE Trans. Pattern Anal. Mach. Intell., 27 (2005), pp. 684–698.
Link to website: vision.ucsd.edu/content/extended-yale-face-database-b-b Getting caught with facial recognition - How SVDs are used in Facial Recognition Software](https://i.ytimg.com/vi/b-5jg5VvUEo/mqdefault.jpg)


