Papers › Neural Networks Use Distance Metrics

Neural Networks Use Distance Metrics

26 Nov 2024arXiv:2411.17932archive 2025-07-28

Alan Oursland

We present empirical evidence that neural networks with ReLU and Absolute Value activations learn distance-based representations. We independently manipulate both distance and intensity properties of internal activations in trained models, finding that both architectures are highly sensitive to small distance-based perturbations while maintaining robust performance under large intensity-based perturbations. These findings challenge the prevailing intensity-based interpretation of neural network activations and offer new insights into their learning and decision-making processes.

PaperPDFCode

Code

alanoursland/neural_networks_use_distance_metrics officialmentioned in paperpytorch report

Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.

Code Syntology ran Syntology

Not run by Syntology. Nothing on this page verifies that the listed code works.

Tasks

Decision Making

Results from the paper archive 2025-07-28

No leaderboard rows for this paper in the archive.

Methods

ReLU

Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections