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Cost functions and training for neural networks. Help fund future projects: https://www.patreon.com/3blue1brown Special thanks to these supporters: http://3b1b.co/nn2-thanks Written/interactive form of this series: https://www.3blue1brown.com/topics/neural-networks This video was supported by Amplify Partners. For any early-stage ML startup founders, Amplify Partners would love to hear from you via [email protected] To learn more, I highly recommend the book by Michael Nielsen http://neuralnetworksanddeeplearning.com/ The book walks through the code behind the example in these videos, which you can find here: https://github.com/mnielsen/neural-networks-and-deep-learning MNIST database: http://yann.lecun.com/exdb/mnist/ Also check out Chris Olah's blog: http://colah.github.io/ His post on Neural networks and topology is particular beautiful, but honestly all of the stuff there is great. And if you like that, you'll *love* the publications at distill: https://distill.pub/ For more videos, Welch Labs also has some great series on machine learning: https://youtu.be/i8D90DkCLhI https://youtu.be/bxe2T-V8XRs "But I've already voraciously consumed Nielsen's, Olah's and Welch's works", I hear you say. Well well, look at you then. That being the case, I might recommend that you continue on with the book "Deep Learning" by Goodfellow, Bengio, and Courville. Thanks to Lisha Li (@lishali88) for her contributions at the end, and for letting me pick her brain so much about the material. Here are the articles she referenced at the end: https://arxiv.org/abs/1611.03530 https://arxiv.org/abs/1706.05394 https://arxiv.org/abs/1412.0233 Music by Vincent Rubinetti: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Thanks to these viewers for their contributions to translations Звуковая дорожка на русском языке: Влад Бурмистров. Hebrew: Omer Tuchfeld Italian: @teobucci ------------------- Video timeline 0:00 - Introduction 0:30 - Recap 1:49 - Using training data 3:01 - Cost functions 6:55 - Gradient descent 11:18 - More on gradient vectors 12:19 - Gradient descent recap 13:01 - Analyzing the network 16:37 - Learning more 17:38 - Lisha Li interview 19:58 - Closing thoughts ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown

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