Sufficiency of metrics-only approaches to address representation biases
Determine whether alternative metrics for comparing neural representations between systems can, on their own, address the challenges posed by representation biases in learned feature representations that distort cross-system comparisons.
References
It natural to ask whether alternative metrics for comparing systems could address some of these challenges. While considering a range of metrics is a generally good practice, it is not clear that there is a ready solution from metrics alone.
— Representation biases: will we achieve complete understanding by analyzing representations?
(2507.22216 - Lampinen et al., 29 Jul 2025) in Discussion, subsection "What are the potential solutions?"
The unresolved PDE-specific problem is to choose a representation and distance that remain interpretable across equations whose inputs and outputs are continuous fields.
— Solution-space heterogeneity shapes federated learning dynamics across partial differential equations
(2609.05012 - Luo et al., 4 Sep 2026) in Introduction, related-work discussion of PDE-specific non-IID partitioning