Thank you for the lecture. In one of your lectures, you showed that Laplacian eigenmaps can be considered a special case of diffusion maps where t=0. I was told that DM supposedly is better for data that is nonuniformly sampled, but I am not sure what the implications of this statement are for common medical signals of interest (e.g., PPG, ECG, EEG). In what scenario (e.g., which kinds of signals, sampling rate, etc) would you prefer to use Laplacian eigenmaps over diffusion maps where $t eq 0$?
@HauTiengWuMath2 ай бұрын
For DM, if you consider the "alpha-normalization", you can alleviate the impact of nonuniform sampling with theoretical guarantee (It will be discussed in the theoretical session later). In my experience, using DM is better than using eigenmaps, particularly if you want to reserve as much as possible the metric information (it will also be discussed in the theoretical session later).
@alirezakeshavarzian35173 ай бұрын
Great lecture, is there anywhere that we can have access to the slides?
@batman-fp6nn3 ай бұрын
Fortunate for awareness you have drawn to the crowd with this
@absr17533 ай бұрын
Just watching... Trying to appear smart. But somehow I reckon, this is way beyond my capacity. And yet youtube keeps recommending me these things.
@shrayesraman51923 ай бұрын
I am trying to learn as much as I can to apply machine learning to biological signals! Thank you for the knowledge!
@HauTiengWuMath3 ай бұрын
You are welcome!
@VanjeAv3 ай бұрын
The topic is cool bit please better sound
@HauTiengWuMath3 ай бұрын
Thanks for the suggestion. I will try to improve it.
@bubbletea22234 ай бұрын
It's fantastic to see algorithms supported by theory, as it's often overlooked amidst all the current hype..
@HauTiengWuMath4 ай бұрын
I am glad that you like it. 🙂
@GuilhermeSilva-er4kj4 ай бұрын
I second this. I became an instant fan after watching 10 seconds of the video. Absolutely great work and amazing approach!
@ChomGid4 ай бұрын
Excellent lecture. Thank you Dr.Wu
@HauTiengWuMath4 ай бұрын
You are welcome!
@patryknextdoor5 ай бұрын
you should write a book
@HauTiengWuMath5 ай бұрын
I did consider it, and hope someday there will be one... 🙂
@patryknextdoor5 ай бұрын
@@HauTiengWuMath Make sure it has some python code in it :P so we mortals can apply it in this lifetime
@bubbletea22235 ай бұрын
this channel is a hidden gem, thank you!
@HauTiengWuMath5 ай бұрын
Thank you! 😄
@moaz10865 ай бұрын
keep going bro
@HauTiengWuMath4 ай бұрын
I will~ :)
@davidjohnston42406 ай бұрын
Thank you. That was very interesting. While I've been on a 15 year diversion into cryptography, I've played on-and-off with algorithms for extracting notes from music and the overlap here is clear.
@HauTiengWuMath6 ай бұрын
Thanks for sharing. While I don't work with music directly, I know it is a very challenging field. :-)
@Brad-qw1te6 ай бұрын
I’m so glad I get recommended stuff like this by the algorithm
@HauTiengWuMath6 ай бұрын
I am glad it is helpful. 🙂
@zhenpeng703110 ай бұрын
Hi, Dr. Wu, Thanks for your video. Could you please kindly share the code for synchrosqueezing s-transform
@HauTiengWuMath10 ай бұрын
Thank you for your interest, but unfortunately I do not have an available synchrosqueezing s-tranform code to share.
@ypw060911 ай бұрын
wow, I am currently doing nonstationary stuff reading of papers using wigner ville, such a gift!