Silent Failures in Physics-Informed Neural Networks: Parameter Poisoning and the Limits of Loss-Based Validation

arXiv:2606.25151v1 Announce Type: new Abstract: Physics-informed neural networks (PINNs) embed governing equations in their loss function, enabling mesh-free solutions to partial differential equations. Low training loss is treated as evidence that the learned solution is physically correct. This paper shows that assumption breaks down when encoded physics are incorrect. By perturbing PDE parameters before training, a setting we describe as physics parameter poisoning or parameter misspecification, we produce models that train to low loss but give incorrect answers; we treat the perturbation s
This research surfaces a critical vulnerability in Physics-Informed Neural Networks (PINNs) as their application expands across various scientific and engineering domains, necessitating a re-evaluation of their reliability.
A strategic reader should care because the reliability of AI models used in critical infrastructure, scientific discovery, and engineering design directly impacts safety, economic efficiency, and national security, especially as AI adoption accelerates.
The assumption that low loss in PINNs directly translates to physical correctness is challenged, requiring new validation methods and potentially slowing down the deployment of these models in high-consequence applications.
- · AI validation and verification specialists
- · Developers of robust AI interpretability tools
- · Traditional simulation and modeling methodologies
- · Uncritically deployed PINN applications
- · Sectors relying solely on loss-based PINN validation
- · Researchers overstating PINN reliability
Increased scrutiny and demand for more rigorous and domain-specific validation methods for AI models.
Potential delays in the adoption of AI-driven design and simulation tools in highly regulated industries like aerospace or nuclear energy.
A broader philosophical debate within AI research about the limits of data-driven assumptions versus explicit physical laws.
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Read at arXiv cs.LG