4 papers
Quantum Grid Path Planning Using Parallel QAOA Circuits Based on Minimum Energy Principle
Jun Liu
To overcome the bottleneck of classical path planning schemes in solving NP problems and address the predicament faced by current mainstream quantum path planning frameworks in the…
A Concise Lyapunov Analysis of Nesterov's Accelerated Gradient Method
Jun Liu
Convergence analysis of Nesterov's accelerated gradient method has attracted significant attention over the past decades. While extensive work has explored its theoretical properti…
A regularized eigenmatrix method for unstructured sparse recovery
Koung Hee Leem, Jun Liu, George Pelekanos
The recently developed data-driven eigenmatrix method shows very promising reconstruction accuracy in sparse recovery for a wide range of kernel functions and random sample locatio…
Parallel-in-Time Iterative Methods for Pricing American Options
Xian-Ming Gu, Jun Liu, Cornelis W. Oosterlee
For pricing American options, %after suitable discretization in space and time, a sequence of discrete linear complementarity problems (LCPs) or equivalently Hamilton-Jacobi-Bellma…