1 citations · 1 across the 5 of their papers we have counts for
5 papers · 1 filter
lapanda: A Matrix-Free Differentiable Solver for Nonconvex Constrained Optimization Layers
Yuankun Chen, Zifei Nie, Kangyu Lin +2
Differentiable optimization brings the structural guarantees of mathematical optimization to network pipelines, allowing them to be trained end-to-end. However, its application rem…
A Gap Penalty Reformulation for Mathematical Programming with Complementarity Constraints: Convergence Analysis
Kangyu Lin, Toshiyuki Ohtsuka
Our recent study (Lin and Ohtsuka, 2024) proposed a new penalty method for solving mathematical programming with complementarity constraints (MPCC). This method first reformulates…
Dynamical System Approach for Optimal Control Problems with Equilibrium Constraints Using Gap-Constraint-Based Reformulation
Kangyu Lin, Toshiyuki Ohtsuka
This study focuses on using direct methods (first-discretize-then-optimize) to solve optimal control problems for a class of nonsmooth dynamical systems governed by differential va…
A Successive Gap Constraint Linearization Method for Optimal Control Problems with Equilibrium Constraints
Kangyu Lin, Toshiyuki Ohtsuka
In this study, we propose a novel gap-constraint-based reformulation for optimal control problems with equilibrium constraints (OCPECs). We show that the proposed reformulation gen…
A Non-Interior-Point Continuation Method for the Optimal Control Problem with Equilibrium Constraints
Kangyu Lin, Toshiyuki Ohtsuka
In this study, we focus on the numerical solution method for the optimal control problem with equilibrium constraints (OCPEC).It is extremely challenging to solve OCPEC owing to th…