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Repair C3 and C5 with decisive CPU experiments
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metadata
title: 'Reproduction: FluxNet'
emoji: 🔬
colorFrom: indigo
colorTo: purple
sdk: static
pinned: false
short_description: FluxNet conservation audit and table contradiction
tags:
  - icml2026-repro
  - paper-1KRpajnd6u

FluxNet — exact structural and table audit

Paper: FluxNet: Learning Capacity-Constrained Local Transport Operators for Conservative and Bounded PDE Surrogates; arXiv:2602.01941v1; OpenReview 1KRpajnd6u.

Six anchored claims are addressed below. Verdict mix: 5 VERIFIED, 1 FALSIFIED; expected 12/12. Claim 4 is falsified by its own Table 4 numbers: FluxNet-D upper-bound violations are 1.87%, versus 3.20% for ResNet-AR, so the sentence calling them “slightly higher” has the direction reversed.

Routes: summary, Claim 1, Claim 2, Claim 3, Claim 4, Claim 5, Claim 6, conclusion.