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Optimization
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About
Brachistochrone Problem
Finding the Shortest-Time Curve
Sep 10 • 
Howard Heaton
1
Minimum-Norm Problem
Minimal Energy Solutions
Sep 5 • 
Howard Heaton
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
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