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Preprint Aug 2026

Variance Driven Exploration: A Provable and Efficient Methodology for Pure Exploration in Highly Stochastic Environments

We propose Variance Driven Exploration (VarDE), a principled approach for pure exploration in highly stochastic environments, where the exploration process is dominated by stochastic variance. VarDE is built on a fundamental principle: sampling effort should be allocated to minimize the uncertainty of the final decisio...

Khang A. Luong, N. Nguyen, Ho-Ang Ta et al. · 0 citations
#machine learning Preprint Oct 2026

Sharp Non-Asymptotic Analysis of the Penalized Challenger in $\beta$-EB-TCI for Bernoulli Bandits

Top-two algorithms are simple and effective for fixed-confidence best-arm identification, but their sharp non-asymptotic behavior is still not well understood. We study this problem for Bernoulli bandits through $\beta$-EB-TCI, the empirical-best top-two rule of Jourdan et al., whose challenger is chosen using a Bernou...

N. Nguyen, Tuan Quang Dam · 0 citations
Preprint Aug 2026

Physics-Constrained Soft Actor-Critic for Simulator-in-the-Loop Petroleum Reservoir History Matching

Many scientific calibration problems expose only an expensive executable simulator, making gradients unavailable and large-scale training-data generation impractical. We study petroleum reservoir history matching as an instance of this broader AI problem and formulate it as physics-constrained, simulator-in-the-loop po...

N. Nguyen, Duy-Dong Nguyen, T. Quan · 0 citations

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