Over the Rainbow

TeXmacs Tips

Efficient Math Typing, Crash Fixes, and More

About TeXmacs TeXmacs is my favorite text editor, especially useful for those who frequently need to type mathematical formulas. I highly recommend giving it a try! In case you need help getting ...

Performance Estimation Problems II

Convergence Proofs and Stepsize Optimization

This is the second post in a series on Performance Estimation Problems (PEP). In this post, I’ll introduce applications of the PEP framework, particularly in convergence proofs and stepsize optimiz...

Performance Estimation Problems I

Methodology Review

This is the first post in a new series on Performance Estimation Problems (PEP). I’ve divided the series into two parts: the first introduces the PEP framework, and the second covers applications o...

A Bunny Lover’s Guide to Happy and Healthy Hops 🐰

The original post is written in Chinese, and this version is translated by ChatGPT. My little bunny hopped into my life in May 2022, and it’s been two and a half years of fluffy joy since then. ...

Polynomial Optimization II

Multivariant problems

This note is taken from the summer course, in which Prof.Cédric Josz makes everything clear and intuitive! This blog is about multivariate polynomial optimization, including both unconstrained and ...

Polynomial Optimization I

Univariant unconstrained problems

This note is taken from the summer course, in which Prof.Cédric Josz makes everything clear and intuitive! This blog is about univariate unconstrained polynomial optimization, and the multivariate ...

Equivalence of Primal-Dual Hybrid Gradient (PDHG) and Douglas-Rachford Splitting (DRS)

It is common to hear that Primal-Dual Hybrid Gradient (PDHG) and Douglas-Rachford Splitting (DRS) are equivalent, and this blog is about why. I read Daniel and Vandenberghe’s paper [1] and organize...