00:00 - Background & intro 01:37 - Recurring Terms in this Course 04:05 - State Estimation Example: Localization and Mapping 04:53 - Probabilistic Approaches 07:08 - (beginning of) Probability Primer 07:23 - Why Probabilities? 08:13 - Axioms of Probability Theory 14:17 - Discrete Random Variables 16:11 - Continuous Random Variables 18:33 - Joint and Conditional Probability 21:41 - Law of Total Probability 23:03 - Marginalization 24:04 - Example 1 (on Conditional & Marginalized Probability) 26:52 - Example 2 (on Conditional & Marginalized Probability) 32:10 - Bayes' Rule 34:34 - Bayes' Rule with Background Knowledge 35:04 - Conditional Independence 37:58 - Normal Distribution 39:10 - Multivariate Normal Distribution 40:00 - Gaussian Mixture 41:26 - Summary
Excellent lecture! Thank you very much for sharing your wisdom, Prof. Stachniss.
00:00 - Background & intro
01:37 - Recurring Terms in this Course
04:05 - State Estimation Example: Localization and Mapping
04:53 - Probabilistic Approaches
07:08 - (beginning of) Probability Primer
07:23 - Why Probabilities?
08:13 - Axioms of Probability Theory
14:17 - Discrete Random Variables
16:11 - Continuous Random Variables
18:33 - Joint and Conditional Probability
21:41 - Law of Total Probability
23:03 - Marginalization
24:04 - Example 1 (on Conditional & Marginalized Probability)
26:52 - Example 2 (on Conditional & Marginalized Probability)
32:10 - Bayes' Rule
34:34 - Bayes' Rule with Background Knowledge
35:04 - Conditional Independence
37:58 - Normal Distribution
39:10 - Multivariate Normal Distribution
40:00 - Gaussian Mixture
41:26 - Summary
Thank you professor. Very thoughtful of you to prepare a material complete for those interested in studying this field.
Best review of the essentials of probability theory I've seen. Thank you so much!
I'm really happy to find this great channel
Thanks a lot Professor for your knowledge sharing.
Thank you very much. I really appreciate your lessons, and the effort you put in for sharing the knowledge.
It was very helpful. thank you very much prof
Amazing channel, thanks for all the content. I am following a master's degree in Computer Vision and photogrammetry seems to be very interesting.
Thank you very much for sharing.
can you suggest sources to revise Multivariate Normal Distribution and Gaussian Mixture?
Super super helpful!!
Thank you.
thank you so much