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Alternating Projection
Project. Switch. Repeat.
May 27
•
Howard Heaton
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Alternating Projection
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Baillon and Haddad's Theorem
a bridge from functions to monotone operators
May 20
•
Howard Heaton
1
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Baillon and Haddad's Theorem
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Series Divergence via Asymptotic Behavior
An example with the harmonic series
May 8
•
Howard Heaton
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Series Divergence via Asymptotic Behavior
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April 2025
Krasnosel’skii-Mann Iteration
an elegant and powerful abstraction
Apr 22
•
Howard Heaton
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Krasnosel’skii-Mann Iteration
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March 2025
Continuous and Discrete Perspectives
How Euler’s Methods relate to Gradient Descent and Proximal Point
Mar 14
•
Howard Heaton
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Continuous and Discrete Perspectives
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February 2025
Applying Definition of Supremum
If a point in a set is an upper bound, it's the supremum
Feb 5
•
Howard Heaton
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Applying Definition of Supremum
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January 2025
Forward Backward Envelopes
Using an algorithm to construct a new cost function
Jan 20
•
Howard Heaton
1
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Forward Backward Envelopes
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Bregman Divergences
A natural way to measure closeness
Jan 8
•
Howard Heaton
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Bregman Divergences
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December 2024
Why Inverse Problems are Hard
The intersection of Ill-posed, ill-conditioned, and algorithmic constraints
Dec 17, 2024
•
Howard Heaton
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Why Inverse Problems are Hard
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Douglas Rachford Splitting
Minimize a sum of nonsmooth functions
Dec 10, 2024
•
Howard Heaton
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Douglas Rachford Splitting
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Conditional Gradient / Frank-Wolfe
Revisiting a projection-free method
Dec 3, 2024
•
Howard Heaton
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Conditional Gradient / Frank-Wolfe
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November 2024
#1 — Stanley Osher
Partial Differential Equations and Optimization
Nov 25, 2024
•
Howard Heaton
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