Archive - Typal Academy

Singular Value Thresholding

Proximal of Nuclear Norm

Jul 10 •

June 2025

Fixed Point Iterations

Don't just settle for vanilla fixed point iterations

Jun 24 •

Gradient Descent

a classic algorithm seen through operators

Jun 17 •

May 2025

Alternating Projection

Project. Switch. Repeat.

May 27 •

Baillon and Haddad's Theorem

a bridge from functions to monotone operators

May 20 •

Series Divergence via Asymptotic Behavior

An example with the harmonic series

May 8 •

April 2025

Krasnosel’skii-Mann Iteration

an elegant and powerful abstraction

Apr 22 •

March 2025

Continuous and Discrete Perspectives

How Euler’s Methods relate to Gradient Descent and Proximal Point

Mar 14 •

February 2025

Applying Definition of Supremum

If a point in a set is an upper bound, it's the supremum

Feb 5 •

January 2025

Forward Backward Envelopes

Using an algorithm to construct a new cost function

Jan 20 •

Bregman Divergences

A natural way to measure closeness

Jan 8 •

December 2024

Why Inverse Problems are Hard

The intersection of Ill-posed, ill-conditioned, and algorithmic constraints

Dec 17, 2024 •

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