Backpropagation Details Pt. 1: Optimizing 3 parameters simultaneously. @statquest
Backpropagation Details Pt. 1: Optimizing 3 parameters simultaneously.  @statquest
Uploaded November 2020 | Updated September 2026, 1 week ago
The main ideas behind Backpropagation are super simple, but there are tons of details when it comes time to implementing it. This video shows how to optimize three parameters in a Neural Network simultaneously and introduces some Fancy Notation.

NOTE: This StatQuest assumes that you already know the main ideas behind Backpropagation: youtu.be/IN2XmBhILt4
...and that also means you should be familiar with...
Neural Networks: youtu.be/CqOfi41LfDw
The Chain Rule: youtu.be/wl1myxrtQHQ
Gradient Descent: youtu.be/sDv4f4s2SB8

LAST NOTE: When I was researching this 'Quest, I found this page by Sebastian Raschka to be helpful: sebastianraschka.com/faq/docs/backprop-arbitrary.html

For a complete index of all the StatQuest videos, check out:
statquest.org/video-index

If you'd like to support StatQuest, please consider...

Patreon: patreon.com/statquest
...or...
YouTube Membership: youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw/join

...buying one of my books, a study guide, a t-shirt or hoodie, or a song from the StatQuest store...
statquest.org/statquest-store

...or just donating to StatQuest!
paypal.me/statquest

Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
twitter.com/joshuastarmer

0:00 Awesome song and introduction
3:01 Derivatives do not change when we optimize multiple parameters
6:28 Fancy Notation
10:51 Derivatives with respect to two different weights
15:02 Gradient Descent for three parameters
17:19 Fancy Gradient Descent Animation

#StatQuest #NeuralNetworks #Backpropagation
Backpropagation Details Pt. 1: Optimizing 3 parameters simultaneously.Live 2020-01-06!!! Sample Sizes, ML vs Statistics and a PoemLuis Serrano + Jay Alammar + Josh  Starmer Q&A Livestream!!!UMAP: Mathematical Details (clearly explained!!!)Gradient Boost Part 3 (of 4): ClassificationThe AI Buzz, Episode #1: ChatGPT, Transformers and AttentionIntroduction to Coding Neural Networks with PyTorch and LightningHuman Stories in AI: Fabio UrbinaHuman Stories in AI: Achal DixitThe Simplex Algorithm, Mathematical Details!!!Human Stories in AI: Amy FinneganStatQuest: Random Forests Part 2: Missing data and clustering
StatQuest with Josh Starmer |

Backpropagation Details Pt. 1: Optimizing 3 parameters simultaneously.

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER