4 papers
Flow Matching Transport for Quasi-Monte Carlo Integration
Zhijun Zeng, Jianlong Chen
High-dimensional integration with respect to complex target measures remains a fundamental challenge in computational science. While Flow Matching (FM) offers a powerful paradigm f…
Randomized Quasi-Monte Carlo and Importance Sampling for Super-Fast Growing Functions with Applications to Finance
Jianlong Chen, Yu Xu, Jiarui Du +1
Many problems can be formulated as high-dimensional integrals of discontinuous functions that exhibit significant boundary growth, challenging the error analysis and applications o…
Enhanced convergence rates of Adaptive Importance Sampling with recycling schemes via quasi-Monte Carlo methods
Jianlong Chen, Jiarui Du, Xiaoqun Wang +1
This article investigates the integration of quasi-Monte Carlo (QMC) methods using the Adaptive Multiple Importance Sampling (AMIS). Traditional Importance Sampling (IS) often suff…
Hierarchical Attention Generates Better Proofs
Jianlong Chen, Chao Li, Yang Yuan +1
Large language models (LLMs) have shown promise in formal theorem proving, but their token-level processing often fails to capture the inherent hierarchical nature of mathematical…