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The bisection method to solve 1d nonlinear equation
Bisection Method - fixed typo
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Using the same dataset from the MP (cancer data) to perform PCA
PCA: Tumor dataset example
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Sync lecture from Spring 2020 solving an IPython notebook
SVD - IPython Notebook
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Using SVD to solve linear system of equations
SVD - Linear System Equations
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Low rank approximation and application to image compression
SVD - Image Compression
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Understanding condition number from SVD
SVD - Condition Number
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How we compute the pseudo-inverse of a matrix given the SVD
SVD - Pseudo-Inverse
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How we can get the rank of a matrix given the SVD
SVD - Matrix Rank
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Sync lecture from Spring 2020
Linear Least Squares: solving IPython notebook
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Another way to compute the residual.
Linear Least Squares: example
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Summary of LLS with SVD and a cost analysis
Linear Least Squares + SVD: 2-Cost
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Solving the linear least-squares problem using the SVD.
Linear Least Squares + SVD: 1-Intro
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What is the overall cost of SVD?
SVD - 5: Computational cost
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What do you know about the singular values?
SVD - 4: Singular values
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How we can obtain the SVD from the solution of an eigenvalue problem
SVD - 3: Solution from Eigenpairs
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How can we write an SVD for over and under-determined systems?
SVD - 2: Reduced form
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What is a singular value decomposition?
Singular Value Decomposition (SVD) - 1: Intro
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What is the computational cost of solving the least squares problem using the normal equations?
Linear Least Squares - 7: Computational Cost
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Fitting data using quadratic curve
Linear Least Squares - 6: Quadratic
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How you can find the coefficient to fit points using a straight line
Linear Least Squares - 5: Example
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Another way to understand (and derive) the solution of a LLS problem
Linear Least Squares - 4: Graphical Interpretation
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When is the solution is unique and how do we know it is a solution?
Linear Least Squares - 3: Uniqueness
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How can we solve a linear LS problem using Normal Equations
Linear Least Squares - 2: Normal Equations
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Introduction to Linear Least Squares
Linear Least Squares - 1: Intro
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Interactive tutorial
Interesting examples from an external website
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Sync lecture (Spring 2020) going over the IPython notebook to show the ND Methods to solve unconstrained optimization problems
IPython notebook for ND optimization
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Sync lecture (Spring 2020) going over the IPython notebook to show the 1D Methods to solve unconstrained optimization problems
IPython notebook for 1D optimization
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Maximizing the area of a rectangle subject to a perimeter constraint.
Constrained Optimization problem
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