I signed up a similar course in my uni this sem. but the prof. demostrated this interesting content in a terrible way. And Prof. Stachniss you DEFINITELY save my life!!!
Best explanation about KF & EKF ever! Now I finally understand their principles, and their differences. I read the Probabilistic Robotics book before, although it is a good reference book for details, it's hard for beginners to understand the concept. Combined with Prof. Stachniss's tutorial, now I understand both from a Big Picture side, and also from the details side. Thank you very much for sharing great knowledge.
I enjoyed your EKF and UKF videos from 2013 and appreciated this video as it taught the EKF in a slightly different way. I would be interested in seeing a UKF version like this video. It may be too niche, but I’d also be very curious about your thoughts on the square root form of the UKF.
56:52 What would I do in case of non-smooth non-linearities, e.g. because of physical limits of state variables in my system dynamic? Just approximate them by a smooth-function?
Thank you for these videos they are really helpful. You mentioned that python will be used in homeworks but i can not find the homework assignments anywhere. Is there any way I can reach to homework assignments?
13:15: Why is it u_t and not u_{t-1} in the discrete state space model? Wouldn't you have to take into account the control command at the previous time step, not the current one? Thanks for the great videos and explanations!
“Gaussian” in the sense explained would be understood as “well behaved”, meaning that if your “vehicle” is in the middle of a storm, non linearities come in and controls may not work as intended.
Wonderful lecture but I have a question regarding the part where we assumed Qt is very small , hence the posterior state estimate is the Observation. How would we know that the observation is perfect ? Does it mean that we sample various measurements and calculate the covariance of there measurements , or is it generally assumed to be constant ? Because it would make sense that environmental changes affects the Q ? So how is it done in practice ?
@@priyanshugarg6175 I would say both , an application for Localisation is EKF-SLAM , where you predict the next landmark positions and compare them with actual observation, effectivky optimising for the Robots position in the created map. As for sensor fusion , I have not applied that or reach about it but Kalman filter is quite famous for that field too , like looking at one way of deriving the Kalman Filter Equation was to find the optimal mix of 2 readings with diff precisions
At 46:56 you show the mapping of the Gaussian distribution using a linear function. I would just like to point out that the new function shown on the left is the mirror of the original function. For example, the part of the original Gaussian that is to the right of the average, is below the average, meaning that y-axis of the new distrubution should run from high (5) at the bottom and low at the top. Same applies to the next slide with the non-linear function. If the gradient of the linear function is positive, this mirroring does not occur, but of course with a non-linear function the gradient and be negative and positive.
Two best Prof. ----> 1) Michel Van Biezen 2) Cyrill Stachniss. Folks add your fav. Prof. in Comment, so that everyone get privilege to know them. Lots of love
Now I understood after 45.00 that If we are taking count an angle in System then EKF will be a good option but If we are predicting for example state of Vehicle, then we need to use Kalman? correct me if I am wrong. Thank you Prof.
Thank you professor, it was really amazing explanation with deep concept that I can use for my problems. I want to ask one question, for example if we have a function with high non-linearity, is it possible to localize mobile robot using EKF by increasing the number of sensors? And if there is any book that can guide for the implementation of systems using MATLAB, would you recommed it please?
not a 100% sure, but I think if more of the same sensors(for example 2 magnetometers one at the front one at back) can reduce the uncertainty for the observation(in this case heading angle), then the new belief should be more dependent on the observation so error introduced due to the prediction would be reduced as it has less contribution in the final update, therefore it should make the overall estimate better compared to using observation from a single sensor of a kind.
Thank you for the video I am currently using the book "Probabilistic Forecasting and Bayesian Data Assimilation - by Sebastian Reich" for studying derivations. Can you please suggest any other book to understand deeper mathematics and derivations related to Bayesian Inference and Data Assimilation
Hi, i'm working implement extended kalman filter. But i have problems. İ'm trying extended kalman filter in 3 dimension(x,y,z positions). and visulation is simple just use matplotlib. Can anybody know that how can i do? Any resourse or sample?
Před rokem
Hello professor, the equation f(x) = A x + b is non-linear, because it does not obey the superposition principle.
I have now watched the complete part of the linear KF. What I don't understand is, how are the matrices A, B and C determined/calculated in the first place. Could someone help me out? :)
A and B describe how your robot/vehicles moves and C specifies how your sensors works. Thus, A, B, and C are robot-specific and need to be defined by the user.
@@CyrillStachniss can A change at each time step? as you stated in the example A can encode information about wind speed for the case of UAV, I assume the predictive model can update it based on sensor information? Thanks for the lecture professor!!
I signed up a similar course in my uni this sem. but the prof. demostrated this interesting content in a terrible way. And Prof. Stachniss you DEFINITELY save my life!!!
Thank you, amazing explanation. 👍
Best explanation about KF & EKF ever!
Now I finally understand their principles, and their differences.
I read the Probabilistic Robotics book before, although it is a good reference book for details, it's hard for beginners to understand the concept. Combined with Prof. Stachniss's tutorial, now I understand both from a Big Picture side, and also from the details side.
Thank you very much for sharing great knowledge.
Thanks a lot Mr.Cyrill Stachniss for the video. The best explanation for KF & EKF, by far. It really helps understand it better! Thanks once again.
very clear explained，thanks
Great explanation! Thank you for making this video :) Cleared the 'mystery' of EKFs for me.
Thank you so much, my professor's class is totally not comprehensible. You saved me and a lot of students.
Great explanation! Like your lectures very much. Thanks!
thank you so much for such a structured and clear explanation!
Thank you so much for the great explanation Prof. The best explanation that someone can imagine
Thanks
Thanks for the great video.
Great explanation! Thank you so much!
Thank you for all your videos! They're really helpful and thorough. Keep it up!
Muy teso! Gracias por la explicación!
An amazing explanation
Thank you, it's really interesting lecture!
I enjoyed your EKF and UKF videos from 2013 and appreciated this video as it taught the EKF in a slightly different way. I would be interested in seeing a UKF version like this video. It may be too niche, but I’d also be very curious about your thoughts on the square root form of the UKF.
best explanation. Thank you
amazing explanation! really appreciate your hardwork man
I hope we can get the slides for home study as well :)
Thank you for the good explanation :D
😍
EKF begins at around 44 minutes in !
Very clear explanation
Thank you very much for the video. If you can do a lecture on Unscented KF with lie algebra and with manifold, That would be great help...
you are such a great lecturer, i hope you are a prof anywhere :)
Yes I am at University of Bonn: www.ipb.uni-bonn.de/
@@CyrillStachniss really crazy, i am studying in aachen. congratulations to excellence!
Could you please add the new videos to their respective playlists. It becomes harder to track later on
Excellent Lecture! Best explanation of Kalman Filtering! Continue doing great work Prof! Do you offer online classes or mentoring?
Thank you very much for the video.Sir could you please add new video of underwater target tracking using EKF.
56:52 What would I do in case of non-smooth non-linearities, e.g. because of physical limits of state variables in my system dynamic? Just approximate them by a smooth-function?
Thank you for these videos they are really helpful. You mentioned that python will be used in homeworks but i can not find the homework assignments anywhere. Is there any way I can reach to homework assignments?
13:15: Why is it u_t and not u_{t-1} in the discrete state space model? Wouldn't you have to take into account the control command at the previous time step, not the current one?
Thanks for the great videos and explanations!
Robotics superstar Cyrill Stachniss
“Gaussian” in the sense explained would be understood as “well behaved”, meaning that if your “vehicle” is in the middle of a storm, non linearities come in and controls may not work as intended.
thankyou sir
Wonderful lecture but I have a question regarding the part where we assumed Qt is very small , hence the posterior state estimate is the Observation. How would we know that the observation is perfect ? Does it mean that we sample various measurements and calculate the covariance of there measurements , or is it generally assumed to be constant ?
Because it would make sense that environmental changes affects the Q ? So how is it done in practice ?
Hi. Are kalman filters used for sensor fusion or localization ? I am new to this field.
@@priyanshugarg6175 I would say both , an application for Localisation is EKF-SLAM , where you predict the next landmark positions and compare them with actual observation, effectivky optimising for the Robots position in the created map.
As for sensor fusion , I have not applied that or reach about it but Kalman filter is quite famous for that field too , like looking at one way of deriving the Kalman Filter Equation was to find the optimal mix of 2 readings with diff precisions
Do you obtain A B and C through regression?
At 46:56 you show the mapping of the Gaussian distribution using a linear function. I would just like to point out that the new function shown on the left is the mirror of the original function. For example, the part of the original Gaussian that is to the right of the average, is below the average, meaning that y-axis of the new distrubution should run from high (5) at the bottom and low at the top. Same applies to the next slide with the non-linear function. If the gradient of the linear function is positive, this mirroring does not occur, but of course with a non-linear function the gradient and be negative and positive.
Two best Prof. ----> 1) Michel Van Biezen 2) Cyrill Stachniss.
Folks add your fav. Prof. in Comment, so that everyone get privilege to know them.
Lots of love
Isn't the multivariable input/output "Jacobian" described at 52:37 called the Hamiltonian by most mathematicians?
Now I understood after 45.00 that If we are taking count an angle in System then EKF will be a good option but If we are predicting for example state of Vehicle, then we need to use Kalman? correct me if I am wrong. Thank you Prof.
Thank you professor, it was really amazing explanation with deep concept that I can use for my problems.
I want to ask one question, for example if we have a function with high non-linearity, is it possible to localize mobile robot using EKF by increasing the number of sensors? And if there is any book that can guide for the implementation of systems using MATLAB, would you recommed it please?
not a 100% sure, but I think if more of the same sensors(for example 2 magnetometers one at the front one at back) can reduce the uncertainty for the observation(in this case heading angle), then the new belief should be more dependent on the observation so error introduced due to the prediction would be reduced as it has less contribution in the final update, therefore it should make the overall estimate better compared to using observation from a single sensor of a kind.
Thank you for the video
I am currently using the book "Probabilistic Forecasting and Bayesian Data Assimilation - by Sebastian Reich" for studying derivations. Can you please suggest any other book to understand deeper mathematics and derivations related to Bayesian Inference and Data Assimilation
Probabilistic robotics
Hi, i'm working implement extended kalman filter. But i have problems. İ'm trying extended kalman filter in 3 dimension(x,y,z positions). and visulation is simple just use matplotlib. Can anybody know that how can i do? Any resourse or sample?
Hello professor, the equation f(x) = A x + b is non-linear, because it does not obey the superposition principle.
NYC
At time 16:46 it was missing to write the dimensions of the variables Et and ðt. Am I correct?
One is the noise part for the motion the other for the observation, thus the corresponding dimension
I have now watched the complete part of the linear KF. What I don't understand is, how are the matrices A, B and C determined/calculated in the first place. Could someone help me out? :)
A and B describe how your robot/vehicles moves and C specifies how your sensors works. Thus, A, B, and C are robot-specific and need to be defined by the user.
@@CyrillStachniss Thank you very much!
@@CyrillStachniss can A change at each time step? as you stated in the example A can encode information about wind speed for the case of UAV, I assume the predictive model can update it based on sensor information? Thanks for the lecture professor!!
So is the initial input to both the KF and EKF the gaussian pdf functions or what else?
Yes, you initial belief is Gaussian (but can have a high uncertainty/variance)
I think the main take away is that everything is Gaussian and stays Gaussian!
Is it possible to get lecture slides?
Yes, send me an email and I will send your the PPTX files
What do we mean when we say linear model at 7:41?
xnew=Ax + Bu as well as z=Cx
No