Author

Kang Liu

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Preprint Aug 2026

Residual-Controlled Douglas--Rachford Splitting for Differentiable Solver Layers

Residual-Controlled Douglas--Rachford Splitting (RCDRS), a differentiable solver layer for conic linear programs that treats an unrolled solver as a feedback-controlled dynamical system, where a causal controller adapts the relaxation and objective-drive parameters while preserving the projection-splitting structure of...

Kang Liu, Jianchen Hu · 1 citation

#machine learning Preprint Sep 2026

Equilibrium bias and convergence in augmented primal--dual dynamics with sampled constraints

This work studies the stability and convergence of augmented primal-dual dynamics when constraint values are estimated from samples. Unbiased constraint observations can produce a biased augmented multiplier signal, shifting the equilibria of the mean dynamics. For componentwise inequalities, we give a necessary and su...

Kang Liu, Meng-Xiao Chen, Si-Qin Xiong et al. · 0 citations