242 citations · 2.4k across the 82 of their papers we have counts for
83 papers
Retraction-Free Optimization over the Stiefel Manifold for the LoRA Fine-Tuning
Yuan Zhang, Jiang Hu, Zhijian Lai +2
Optimization over the Stiefel manifold plays a significant role in various machine learning tasks. Existing methods either use the retraction operators, requiring costly orthonorma…
Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation
Zhen Huang, Emanuel Gull, Lin Lin
Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions. Since analytic continuation is fundamentally an ill-posed problem, the causal space desc…
Explicitly antisymmetrized neural network layers for variational Monte Carlo simulation
Jeffmin Lin, Gil Goldshlager, Lin Lin
The combination of neural networks and quantum Monte Carlo methods has arisen as a path forward for highly accurate electronic structure calculations. Previous proposals have combi…
A theory of quantum subspace diagonalization
Ethan N. Epperly, Lin Lin, Yuji Nakatsukasa
Quantum subspace diagonalization methods are an exciting new class of algorithms for solving large\rev{-}scale eigenvalue problems using quantum computers. Unfortunately, these met…
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory
Xin Xing, Xiaoxu Li, Lin Lin
Despite decades of practice, finite-size errors in many widely used electronic structure theories for periodic systems remain poorly understood. For periodic systems using a genera…
Parallel transport dynamics for mixed quantum states with applications to time-dependent density functional theory
Dong An, Di Fang, Lin Lin
Direct simulation of the von Neumann dynamics for a general (pure or mixed) quantum state can often be expensive. One prominent example is the real-time time-dependent density func…