---
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](#/executive-summary), [Claim 1](#/claim-1), [Claim 2](#/claim-2), [Claim 3](#/claim-3), [Claim 4](#/claim-4), [Claim 5](#/claim-5), [Claim 6](#/claim-6), [conclusion](#/conclusion).