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Inexact Models and Solution Accuracy
A "worse" model can yield "better" solutions
Oct 19
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Howard Heaton
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Inexact Models and Solution Accuracy
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Proving Two Sets are Equal
How to make a subset argument
Oct 16
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Howard Heaton
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Proving Two Sets are Equal
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Limits at Infinity
Refresher on how to formalize limit arguments
Oct 9
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Howard Heaton
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Limits at Infinity
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Ill-Conditioning in Optimization
3 Ways Something can be "Well-Behaved"
Oct 8
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Howard Heaton
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Ill-Conditioning in Optimization
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July 2024
Proximal for the Max Norm
A view as the projection onto the L1 ball
Jul 30
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Howard Heaton
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Proximal for the Max Norm
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Rolle's Theorem
Equal endpoints + differentiable = derivative is zero somewhere in between.
Jul 26
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Howard Heaton
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Rolle's Theorem
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ε-δ Perspective on Derivatives
Establishing convergence of secant lines
Jul 12
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Howard Heaton
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ε-δ Perspective on Derivatives
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Relating ε-δ Continuity to Open Inverses
A proof of one direction of the equivalence
Jul 5
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Howard Heaton
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Relating ε-δ Continuity to Open Inverses
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Davis-Yin Splitting
A flexible framework leveraging proximals and gradients
Jul 1
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Howard Heaton
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Davis-Yin Splitting
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June 2024
Positivity and Continuity
Picking ε in the definition of continuity
Jun 21
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Howard Heaton
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Positivity and Continuity
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Pointwise Convergence with Rounded Tents
Fixing x and then taking a limit over n.
Jun 14
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Howard Heaton
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Pointwise Convergence with Rounded Tents
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Composition of Continuous Functions in 2D
A visual proof sketch
Jun 7
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Howard Heaton
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Composition of Continuous Functions in 2D
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