HUANet: Hard-Constrained Unrolled ADMM for Constrained Convex Optimization

• URL: http://arxiv.org/abs/2604.13179v1
• Date: Tue, 14 Apr 2026 18:01:48 GMT
• Title: HUANet: Hard-Constrained Unrolled ADMM for Constrained Convex Optimization
• Abstract summary: HUANet is a constrained deep neural network architecture that unrolls the iterations of the Alternating Direction Method of Multipliers (ADMM) into a trainable neural network for solving constrained convex optimization problems.<n>Existing end-to-end learning methods operate as black-box mappings from parameters to solutions, often lacking explicit optimality principles and failing to enforce constraints.
• Score: 1.838884769821944
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This paper presents HUANet, a constrained deep neural network architecture that unrolls the iterations of the Alternating Direction Method of Multipliers (ADMM) into a trainable neural network for solving constrained convex optimization problems. Existing end-to-end learning methods operate as black-box mappings from parameters to solutions, often lacking explicit optimality principles and failing to enforce constraints. To address this limitation, we unroll ADMM and embed a hard-constrained neural network at each iteration to accelerate the algorithm, where equality constraints are enforced via a differentiable correction stage at the network output. Furthermore, we incorporate first-order optimality conditions as soft constraints during training to promote the convergence of the proposed unrolled algorithm. Extensive numerical experiments are conducted to validate the effectiveness of the proposed architecture for constrained optimization problems.

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