Typal Academy

Interior Point Method

Log barrier example with Newton's iteration

Dec 3 • 

Howard Heaton

October 2025

Convex Flow Problem

Optimizing over graphs embedding physics

Oct 3 • 

Howard Heaton

1

September 2025

Brachistochrone Derivation

Computing the Shortest-Time Curve

Sep 25 • 

Howard Heaton

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