Predictive Zonotope Reduction: Precise Runtime Monitoring under Uncertainty

arXiv:2609.03699 2026 Geometry 1 ideas extracted · analyzed Sep 4, 2026

What the math gives to ML

The paper treats uncertainty-representation compression as a sequential decision problem rather than applying one fixed reduction rule everywhere. Its transferable asset is the zonotope representation, whose generator-wise absolute sums provide cheap coordinatewise hull bounds, combined with finite-horizon lookahead over candidate reductions. This can support certified neural-network inference by dynamically compressing activation uncertainty after affine or nonlinear layers while minimizing predicted downstream over-approximation error. The practical first target is a robust MLP, where several inexpensive generator-pruning rules are selected per layer and input instead of using one global reducer.

Ideas from this paper

Unverified 2026

Predictive Zonotope Compression for Certified Neural Inference

Propagate uncertain inputs or parameter perturbations through a neural network with zonotopes, and choose the reduction rule after each layer using short lookahead that predicts downstream certified-bound error. Candidate reducers can include largest-generator retention, box conversion, and norm-based merging; unlike a fixed policy, the chosen rule depends on the current generator geometry and remaining network depth. The goal is tighter robustness bounds at the same generator budget, or the…

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Paper: Predictive Zonotope Reduction: Precise Runtime Monitoring under Uncertainty arXiv:2609.03699