Deep Learning Fundamentals - Intro to Neural Networks - Backpropagation explained | Part 3 - Mathematical observations

We have focused on the mathematical notation and definitions that we would be using going forward to show how backpropagation mathematically works to calculate the gradient of the loss function. We'll start making use of what we learned and applying it in this video, so it's crucial that you have a full understanding of everything we covered in that video first. https://youtu.be/2mSysRx-1c0 Here, we're going to be making some mathematical observations about the training process of a neural network. The observations we'll be making are actually facts that we already know conceptually, but we'll now just be expressing them mathematically. We'll be making these observations because the math for backprop that comes next, particularly, the differentiation of the loss function with respect to the weights, is going to make use of these observations. We're first going to start out by making an observation regarding how we can mathematically express the loss function. We're then going to make observations around how we express the input and the output for any given node mathematically. And lastly, we'll observe what method we'll be using to differentiate the loss function via backpropagation. 🕒🦎 VIDEO SECTIONS 🦎🕒 00:00 Welcome to DEEPLIZARD - Go to deeplizard.com for learning resources 01:15 Outline for the episode 01:44 Mathematical Observations 05:30 Expressing the loss as a composition of functions 10:15 Summary 10:56 Collective Intelligence and the DEEPLIZARD HIVEMIND 💥🦎 DEEPLIZARD COMMUNITY RESOURCES 🦎💥 👋 Hey, we're Chris and Mandy, the creators of deeplizard! 👉 Check out the website for more learning material: 🔗 https://deeplizard.com 💻 ENROLL TO GET DOWNLOAD ACCESS TO CODE FILES 🔗 https://deeplizard.com/resources 🧠 Support collective intelligence, join the deeplizard hivemind: 🔗 https://deeplizard.com/hivemind 🧠 Use code DEEPLIZARD at checkout to receive 15% off your first Neurohacker order 👉 Use your receipt from Neurohacker to get a discount on deeplizard courses 🔗 https://neurohacker.com/shop?rfsn=6488344.d171c6 👀 CHECK OUT OUR VLOG: 🔗 https://youtube.com/deeplizardvlog ❤️🦎 Special thanks to the following polymaths of the deeplizard hivemind: Tammy Mano Prime Ling Li 🚀 Boost collective intelligence by sharing this video on social media! 👀 Follow deeplizard: Our vlog: https://youtube.com/deeplizardvlog Facebook: https://facebook.com/deeplizard Instagram: https://instagram.com/deeplizard Twitter: https://twitter.com/deeplizard Patreon: https://patreon.com/deeplizard YouTube: https://youtube.com/deeplizard 🎓 Deep Learning with deeplizard: Deep Learning Dictionary - https://deeplizard.com/course/ddcpailzrd Deep Learning Fundamentals - https://deeplizard.com/course/dlcpailzrd Learn TensorFlow - https://deeplizard.com/course/tfcpailzrd Learn PyTorch - https://deeplizard.com/course/ptcpailzrd Natural Language Processing - https://deeplizard.com/course/txtcpailzrd Reinforcement Learning - https://deeplizard.com/course/rlcpailzrd Generative Adversarial Networks - https://deeplizard.com/course/gacpailzrd 🎓 Other Courses: DL Fundamentals Classic - https://deeplizard.com/learn/video/gZmobeGL0Yg Deep Learning Deployment - https://deeplizard.com/learn/video/SI1hVGvbbZ4 Data Science - https://deeplizard.com/learn/video/d11chG7Z-xk Trading - https://deeplizard.com/learn/video/ZpfCK_uHL9Y 🛒 Check out products deeplizard recommends on Amazon: 🔗 https://amazon.com/shop/deeplizard 🎵 deeplizard uses music by Kevin MacLeod 🔗 https://youtube.com/channel/UCSZXFhRIx6b0dFX3xS8L1yQ ❤️ Please use the knowledge gained from deeplizard content for good, not evil.