Understanding Sobol sequences - Mathematics Stack Exchange
Sobol sequences belong to the class of Quasi Random Generators (by opposition of Pseudo Random Generators). Quasi Random Generators by construction minimize the discrepancy between the sub …
Explicit formula for the 1D Sobol sequence - Mathematics Stack …
Jun 28, 2018 · The Wikipedia page for Sobol sequence mentions Gray code as a way of generating it but doesn't give details. Anyway, the Gray code has a simple explicit formula using bitwise operators:
algorithms - Scrambled Sobol - Mathematics Stack Exchange
Jun 24, 2016 · The method described in "On the scrambled sobol sequence" by Chi, Beerli, Evan, Mascagni (2005) seems simple enough from a coding point of view, however I don't understand how …
The mathematics behind Sobol sequences - Mathematics Stack Exchange
I am using Sobol sequence as random number generator in a computer program. Beyond just making the program work, I would like to learn the mathematics behind the Sobol sequence (and other quasi …
I'm using a Sobol sequence for numerical integration of $f$; can I also ...
Apr 8, 2023 · I'm using a Sobol sequence to numerically integrate a function $f$ over $ [0,1)^d$. Additionally, I need to evaluate $f$ frequently. Now, evaluation $f$ is expensive ...
How is a Halton sequence related to a Latin hypercube?
They're both "low discrepancy sampling methods", but the two algorithms look different to me... experimentation would probably be needed to see which of LH and Halton (and other sequences like …
Non-integer low discrepancy sequence - Mathematics Stack Exchange
May 3, 2018 · Summary There are many methods to calculate low discrepancy sequences and most of them generalize to higher dimensions, including Sobol, Niederreiter, Halton and Kronecker. …
algebraic topology - References and recommendations for a strong ...
Feb 6, 2026 · I just started a phd in Topological Data Analysis and, after my first conference, I realized that I want to have a good enough background for anything in the field. During my Masters I followed …
What is Residue in physics and Why residues in particular?
5 days ago · From a conceptual point of view, what does the residue represent in complex analysis? In other words, what is its geometric or analytical meaning beyond how it is computed? 2) Why does …
Is it possible that the pointwise limit of a sequence of countably ...
Feb 6, 2026 · Is it possible that the pointwise limit of a sequence of countably additive function on a sigma ring is not countably additive?