# Claim C2 — bounds and VAE layer geometry

## Exact registry claim

> Framework assesses generalization bounds and analyzes geometry evolution across network layers in variational autoencoders

Registry status in the captured official feed: `unverified`.

## Public sources

- [Immutable official claim-feed snapshot](https://huggingface.co/spaces/ICML-2026-agent-repro/challenge/resolve/7b5b56aebf3abe590eab9f2c241a796125cab928/claims.json)
- [arXiv record for 2606.15760v1](https://arxiv.org/abs/2606.15760v1)
- [Released implementation at `564652bb…`](https://github.com/koulakis/manifold-microscope/tree/564652bbdfa9ca6b905a3891a52b878a2af3a18e)

## Evidence boundary

No generalisation-bound calculation, manifold fitting, VAE construction,
training, checkpoint loading, layer-wise measurement, or image-dataset run was
performed. The retained execution is limited to analytic Circle/Torus
finite-difference geometry on CPU; see [the execution record](../execution/page.md).

## Fixed outcome

**not assessed**

No proof audit, implementation execution for this claim, result, reproduction,
score, or claim verification is contained or asserted by this page.