We've seen how to define and apply Monte Carlo integration, but there's a whole world of techniques for reducing variance.
Part five (thenumb.at/QMC) covers Quasi-Monte Carlo: negative correlation, stratified and adaptive sampling, and low-discrepancy sequences.

Our #SIGGRAPH2025 paper "Augmented Vertex Block Descent" presents an extremely fast and stable physics solver with hard constraints for handling joints and collisions.

The project page has a 2D demo with source code and more details:
graphics.cs.utah.edu/research/pro...

Rendering nerds! Check out our latest work "Vector-Valued Monte Carlo Integration Using Ratio Control Variates" that has just gotten the best paper award at SIGGRAPH 2025. This paper presents a method that reduces variance of a wide range of rendering and diff. rendering tasks with negligible cost.

Planet Definitions xkcd.com/3063

Scream Cipher xkcd.com/3054

for the love of symmetry please set up your basis bivectors cyclically and as duals in {YZ, ZX, XY} order

study this like you would ancient symbols!! if not then know that my retirement plan IS to become a reclusive math sorceress haunting people getting this wrong

OpenCAGE is heading to Steam!
Add the tools to your wishlist now!
store.steampowered.com/app/3367530/

Catchin up a little bit from twitter
Heres what my new (but still cursed) ReSTIR GI 1spp can do

Sky Alarm xkcd.com/2979

I am making a new engine for Alien: Isolation from scratch www.youtube.com/watch?v=YdI6...