arXiv:2606. 13803v1 Announce Type: new Abstract: Enforcing functional inequality constraints such as monotonicity and convexity in neural networks is a fundamental challenge in many industrial and scientific applications.
By Ruben Wiedemann, Antoine Jacquier, Lukas Gonon
arXiv:2605.24437v2 Announce Type: replace
Abstract: We present a novel framework for embedding hard constraint satisfaction into neural network (NN) architectures, specifically feedforward neural net...
By Yang Zhao, Jungeun Lee, Jeong hwan Jeon, Sze Zheng Yong
arXiv:2608.24743v1 Announce Type: new
Abstract: Existing linear program (LP) and semidefinite program (SDP) relaxations for rectified linear unit (ReLU) neural network (NN) verification yield overly-...
By Hanna Jiamei Zhang, Alan Papalia, Michael Everett, David M. Rosen
arXiv:2606. 29521v1 Announce Type: new Abstract: Deep learning problems rarely involve objectives that are equal in importance.
By Dara Varam, Mohamed I. Alhajri
HUANet is a deep neural network architecture that unrolls the Alternating Direction Method of Multipliers (ADMM) into a trainable model for accelerating parametric constrained convex optimization. It embeds a hard‑constrained neural network in each ADMM iteration, using a differentiable correction stage to enforce affine equalities of the primal subproblem. The method also incorporates first‑order optimality conditions into a self‑supervised training loss, and numerical experiments on benchmark problems and a control application demonstrate its effectiveness in speeding up constrained convex optimization.
By Trinh Tran, Binh Nguyen, Truong X. Nghiem
The paper introduces the Directional Influence Function (DIF), a new estimator for measuring how training samples affect the solution of constrained learning problems. DIF incorporates constraints directly by formulating optimality conditions as a variational inequality, thereby avoiding the bias seen in classical influence functions. Experiments on constrained linear regression and fairness‑constrained CNNs show that DIF accurately predicts changes in test loss and aligns closely with actual retraining results.
By Xin Wang (Jeff), R. Tyrrell Rockafellar (Jeff), Xuegang (Jeff), Ban