6 papers
Learning Individual Scientific Taste with Privileged Hindsight Distillation
Hanwei Fan, Yanqiao Wang, Yiqi Zhu +3
Scientific taste shapes which research directions researchers pursue, and it varies across individuals. Existing work evaluates research directions along multiple evaluation criter…
Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices
Yanqiao Wang, Yixuan Liang, Hongjia Chen +1
We discover two complementary linear-combination-of-Hermitian-matrices (LCHM) formulations to achieve a general non-normal matrix eigenvalue transformation . Firstly, for $A=…
Quantum Derivative Pricing for SPDEs via BDSDE Representation
Xinmiao Li, Yanqiao Wang, Rundi Lu +2
We study quantum speedups of derivative pricing for stochastic partial differential equation (SPDE) models through their backward doubly stochastic differential equation (BDSDE) re…
From Meta Idea to Advanced Mathematical Discovery -- Human-AI Co-Discovery of Sign-Embedding Quantum Algorithms
Yanqiao Wang, Jin-Peng Liu, Peng Li +1
AI-assisted mathematics is often evaluated on solving predefined problems. In practice, however, many important advances begin earlier, when a vague research intuition is transform…
Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions
Yanqiao Wang, Jin-Peng Liu
We develop operator-output quantum algorithms for matrix equations and matrix functions using matrix-sign embeddings. For each problem, an augmented matrix is chosen so that th…
AI Mathematician: Towards Fully Automated Frontier Mathematical Research
Yuanhang Liu, Yanxing Huang, Yanqiao Wang +2
Large Reasoning Models (LRMs) have made significant progress in mathematical capabilities in recent times. However, these successes have been primarily confined to competition-leve…