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Linear algebra concepts are key for understanding and creating machine learning algorithms, especially as applied to deep learning and neural networks.
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English
English [CC]
FREE
- Learn basic syntax that can apply to any language.
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Description
This course reviews linear algebra with applications to probability and statistics and optimization–and above all a full explanation of deep learning.
Course content
- The Column Space of A Contains All Vectors Ax Unlimited
- Multiplying and Factoring Matrices Unlimited
- Orthonormal Columns in Q Give Q’Q = I Unlimited
- Eigenvalues and Eigenvectors Unlimited
- Positive Definite and Semidefinite Matrices Unlimited
- Singular Value Decomposition (SVD) Unlimited
- Eckart-Young: The Closest Rank k Matrix to A Unlimited
- Norms of Vectors and Matrices Unlimited
- Four Ways to Solve Least Squares Problems Unlimited
- Survey of Difficulties with Ax = b Unlimited
- Minimizing ‖x‖ Subject to Ax = b Unlimited
- Computing Eigenvalues and Singular Values Unlimited
- Randomized Matrix Multiplication Unlimited
- Low Rank Changes in A and Its Inverse Unlimited
- Matrices A(t) Depending on t, Derivative = dA/dt Unlimited
- Derivatives of Inverse and Singular Values Unlimited
- Rapidly Decreasing Singular Values Unlimited
- Counting Parameters in SVD, LU, QR, Saddle Points Unlimited
- Saddle Points Continued, Maxmin Principle Unlimited
- Definitions and Inequalities Unlimited
- Minimizing a Function Step by Step Unlimited
- Gradient Descent: Downhill to a Minimum Unlimited
- Accelerating Gradient Descent (Use Momentum) Unlimited
- Linear Programming and Two-Person Games Unlimited
- Stochastic Gradient Descent Unlimited
- Structure of Neural Nets for Deep Learning Unlimited
- Backpropagation: Find Partial Derivatives Unlimited
- Completing a Rank-One Matrix, Circulants! Unlimited
- Eigenvectors of Circulant Matrices: Fourier Matrix Unlimited
- ImageNet is a Convolutional Neural Network (CNN), The Convolution Rule Unlimited
- Neural Nets and the Learning Function Unlimited
- Distance Matrices, Procrustes Problem Unlimited
- Finding Clusters in Graphs Unlimited
- Alan Edelman and Julia Language Unlimited
Instructor
Massachusetts Institute of Technology
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