The Jacobian Matrix - Explained

Learn the Jacobian matrix in a simple and intuitive way, starting from basic calculus and derivatives, moving through partial derivatives in multivariable functions, and finally seeing how Jacobians are used in data science and neural networks. This video covers the fundamentals of the Jacobian matrix, its structure, and why it’s so important for machine learning, deep learning, and gradient computation. Related Videos ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ Bayesian Optimization:    • Bayesian Optimization   Hyperparameters Tuning: Grid Search vs Random Search:    • Hyperparameters Tuning: Grid Search vs Ran...   The Kernel Trick:    • The Kernel Trick   Cross-Entropy - Explained:    • Cross-Entropy - Explained   Dropout - Explained:    • Dropout in Neural Networks - Explained   Overfitting vs Underfitting:    • Overfitting vs Underfitting - Explained   Why Models Overfit and Underfit - The Bias Variance Trade-off:    • Bias-Variance Trade-off - Explained   Least Squares vs Maximum Likelihood:    • Least Squares vs Maximum Likelihood   XGBoost Explained in Under 3 Minutes:    • XGBoost Explained in Under 3 Minutes   Contents ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 00:00 - Intro 00:13 - Single variable function 00:34 - Multivariable function 01:17 - Multiple functions of multiple variables 01:49 - The Jacobian Matrix 02:39 - Application: Neural Networks 04:28 - Outro Follow Me ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 🐦 Twitter: @datamlistic   / datamlistic   📸 Instagram: @datamlistic   / datamlistic   📱 TikTok: @datamlistic   / datamlistic   👔 Linkedin:   / datamlistic   Channel Support ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ The best way to support the channel is to share the content. ;) If you'd like to also support the channel financially, donating the price of a coffee is always warmly welcomed! (completely optional and voluntary) ► Patreon:   / datamlistic   ► Bitcoin (BTC): 3C6Pkzyb5CjAUYrJxmpCaaNPVRgRVxxyTq ► Ethereum (ETH): 0x9Ac4eB94386C3e02b96599C05B7a8C71773c9281 ► Cardano (ADA): addr1v95rfxlslfzkvd8sr3exkh7st4qmgj4ywf5zcaxgqgdyunsj5juw5 ► Tether (USDT): 0xeC261d9b2EE4B6997a6a424067af165BAA4afE1a #jacobian #calculus #machinelearning #deeplearning #neuralnetworks