mlsanityData to 14 Oct 2026

Is the end of Insight in Sight ?

arXiv 2505.04627 ↗First posted 7 May 2025physics.comp-ph cs.LG physics.data-ancited by 1

Not on the map. Why?

Abstract (arXiv)

The rise of deep learning challenges the longstanding scientific ideal of insight - the human capacity to understand phenomena by uncovering underlying mechanisms. In many modern applications, accurate predictions no longer require interpretable models, prompting debate about whether explainability is a realistic or even meaningful goal. From our perspective in physics, we examine this tension through a concrete case study: a physics-informed neural network (PINN) trained on a rarefied gas dynamics problem governed by the Boltzmann equation. Despite the system's clear structure and well-understood governing laws, the trained network's weights resemble Gaussian-distributed random matrices, with no evident trace of the physical principles involved. This suggests that deep learning and traditional simulation may follow distinct cognitive paths to the same outcome - one grounded in mechanistic insight, the other in statistical interpolation. Our findings raise critical questions about the limits of explainable AI and whether interpretability can - or should-remain a universal standard in artificial reasoning.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 7 of its 28 references that are in the map. First posted on arXiv 7 May 2025.

Builds on

7 of 28 references.

References · 7

  1. 2017Attention Is All You Needcited by 60,361
  2. 2017Solving high-dimensional partial differential equations using deep learningcited by 556
  3. 2021Physics-informed neural networks (PINNs) for fluid mechanics: A reviewcited by 473
  4. 2021Physics-informed neural networks with hard constraints for inverse designcited by 280
  5. 2016Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Reviewcited by 155
  6. 2020A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networkscited by 87
  7. 2025A note on the physical interpretation of neural PDE'scited by 7

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Citing papers per year: 2026: 1.

1 paper.