Author

Agastya Vibhuti Jha

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Preprint Aug 2026

A Simpler Analysis of the Bansal-Jiang Quasi Monte-Carlo Algorithm via Haar Wavelets

Numerical integration---approximating the integral of a function $f$ using $n$ point evaluations---is a central task in science and engineering. The two main paradigms for this problem, the Monte Carlo and quasi-Monte Carlo methods, have distinct strengths and limitations, and a fundamental question is to design a meth...

Jia-Heng Chen, Agastya Vibhuti Jha, Hao-Tian Jiang · 1 citation · ⚡1

Preprint Sep 2026

Quasi-Monte Carlo Beyond Hardy-Krause II: $(1 + \varepsilon)n$ Samples Suffice

Numerical integration studies how well one can estimate the integral of a function $f$ over $[0,1)^d$ using $n$ sample points. The two classical methods, Monte Carlo (MC) and quasi-Monte Carlo (QMC), have complementary strengths and weaknesses, and a fundamental question is to design an approach that combines the benef...

Ekene Ezeunala, Agastya Vibhuti Jha, Hao-Tian Jiang · 0 citations