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Basis Pursuit
Corners beat circles.
Sep 2
•
Howard Heaton
August 2025
What does Proximal-Proximal solve?
A subtle mistake when minimizing the sum of two functions
Aug 27
•
Howard Heaton
1
Proximal Gradient
Minimizer = Fixed Point of Update Formula
Aug 19
•
Howard Heaton
Fermat-Weber Problem
a basic form of minimizing a sum of distances
Aug 14
•
Howard Heaton
July 2025
Matrix Completion
a simple model for predicting missing entries
Jul 31
•
Howard Heaton
1
Singular Value Thresholding
Proximal of Nuclear Norm
Jul 10
•
Howard Heaton
1
2
June 2025
Fixed Point Iterations
Don't just settle for vanilla fixed point iterations
Jun 24
•
Howard Heaton
Gradient Descent
a classic algorithm seen through operators
Jun 17
•
Howard Heaton
May 2025
Alternating Projection
Project. Switch. Repeat.
May 27
•
Howard Heaton
Baillon and Haddad's Theorem
a bridge from functions to monotone operators
May 20
•
Howard Heaton
1
Series Divergence via Asymptotic Behavior
An example with the harmonic series
May 8
•
Howard Heaton
April 2025
Krasnosel’skii-Mann Iteration
an elegant and powerful abstraction
Apr 22
•
Howard Heaton
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