SIGNALAI·Jun 19, 2026, 4:00 AMSignal75Short term

Shifting-based Optimizable Linear Relaxations for General Activation Functions

Source: arXiv cs.LG

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Shifting-based Optimizable Linear Relaxations for General Activation Functions

arXiv:2606.20292v1 Announce Type: new Abstract: The use of neural networks (NNs) is rapidly increasing, including in safety- and security-critical domains. To provide formal guarantees about NN behavior, many verification methods rely on optimizable linear relaxations of activation functions. However, existing techniques depend on hand-crafted relaxations for each activation function. Extension to state-of-the-art activation functions therefore requires substantial manual effort. In contrast, our approach SLiR (Shifting-based Linear Relaxations) is broadly applicable, requiring only a Lipschit

Why this matters
Why now

The increasing deployment of neural networks in critical safety and security domains necessitates robust verification methods, prompting immediate research into more generalizable solutions for formal guarantees.

Why it’s important

This development addresses a fundamental limitation in AI verification by providing a broadly applicable method for linear relaxations, crucial for ensuring the reliability and trustworthiness of advanced AI systems.

What changes

The reliance on hand-crafted, labor-intensive relaxations for specific activation functions is reduced, enabling faster and more consistent verification of new and complex neural networks.

Winners
  • · AI verification tool developers
  • · Developers of safety-critical AI systems
  • · AI researchers in robustness and explainability
Losers
  • · Organizations relying solely on domain-specific, hand-tuned verification approac
Second-order effects
Direct

Formal verification of AI systems, particularly in sensitive applications, becomes more scalable and efficient.

Second

Increased trust and adoption of AI in domains with stringent safety requirements, potentially accelerating AI integration into new sectors.

Third

Standardization of AI verification techniques could emerge, leading to regulatory frameworks that mandate certain levels of verifiable AI safety.

Editorial confidence: 90 / 100 · Structural impact: 60 / 100
Original report

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