Math: Logic

Machine-learning ideas tagged Logic in the Math taxonomy of the Math2NN corpus.

2 ideas found

ML: Regularization Math: Logic Clear all

Unverified 2026

Decision-Dependent Robustness Cutting Planes

Replace ordinary adversarial training over a fixed perturbation set with adaptive robust training in which the admissible perturbations depend on the current network state. Train on a small active set of hard scenarios, then search for a newly admissible scenario with larger loss or constraint violation and add it only when needed. This should reduce redundant adversarial examples while targeting worst-case regions induced by the current model.

Useful6/10

Difficulty5/10

Novelty6/10

Training Accuracy Stability Sample efficiency

Paper: Generalized Semi-Infinite Programming for Robust Optimal Control with Decision-Dependent Uncertainty arXiv:2609.01538

Unverified 2026

Three-Class Fuzzy Multi-Loss Scalarizer

Replace a fixed weighted sum of normalized neural-network objectives with a differentiable fuzzy scalarizer that assigns every criterion to desirable, tolerable, and undesirable regions. Explicit output consequents turn these semantic classes into a scalar training loss, while localized memberships reduce flat plateaus and make the optimizer distinguish genuine preference minima from arbitrary ties.

Useful5/10

Difficulty4/10

Novelty6/10

Optimization Accuracy Stability Generalization

Paper: Rule-Induced Behavior of Fuzzy Scalar Objective Functions for Reliable Multi-Criteria Decision Making arXiv:2607.20731