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Neural networks under SGD
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Vector Calculus Review: Maxwell Equations
Covers a review of vector calculus and the Maxwell equations in electromagnetism.
Vector Analysis: Scalar Fields
Covers the analysis of scalar fields, including divergence, gradient, and Laplacian.
Vector Fields: Gradient and Divergence
Covers vector fields, gradient, divergence, heat flux, and stress tensors.
Neural Networks: Training and Optimization
Explores the training and optimization of neural networks, addressing challenges like non-convex loss functions and local minima.
Curve Integrals: Gauss/Green Theorem
Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.
Curve Integrals of Vector Fields
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Optimization Methods in Machine Learning
Explores optimization methods in machine learning, emphasizing gradients, costs, and computational efforts for efficient model training.
Surface Integrals: Parameterization and Divergence Theorem
Explores surface integrals using parameterization and the divergence theorem, with practical examples included.
Divergence of Vector Fields
Explores divergence of vector fields, rotational definitions, and integral derivation applications.