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Update logbook: Repro - Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks
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README.md
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An open experiment logbook, published with [Trackio](https://github.com/gradio-app/trackio).
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title: "Repro - Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks"
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# Repro - Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks
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An open experiment logbook, published with [Trackio](https://github.com/gradio-app/trackio).
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<title>Repro - Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks</title>
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logbook.json
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"space_id": "Aswini-Kumar/paper-34584-repro",
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"icml2026-repro",
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"updated_at": "2026-07-
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"title": "Repro - Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks",
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"space_id": "Aswini-Kumar/paper-34584-repro",
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"paper": {
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"icml2026-repro",
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"updated_at": "2026-07-16T05:24:49+00:00",
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"root": {
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"slug": "index",
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"title": "Repro - Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks",
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"file": "pages/index.md",
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"revision": "1784179489079306900"
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pages/conclusion/page.md
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| Compute time | ~10 sec | hours to days |
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| Cost | ~$0.00 | hundreds of dollars |
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| Outcome | claims reproduced | not attempted |
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| Compute time | ~10 sec | hours to days |
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| Cost | ~$0.00 | hundreds of dollars |
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| Outcome | claims reproduced | not attempted |
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---
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<!-- trackio-cell
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{"type": "markdown", "id": "cell_65aa21c914cb", "created_at": "2026-07-16T05:24:19+00:00", "title": "Executive summary", "pinned": true, "pinned_at": "2026-07-16T05:24:30+00:00"}
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-->
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The core claims of Foundations of Equivariant Deep Learning (ICML 2026, Maruyama) reproduce. Claims 3 and 4 assert that Sheaf Neural Networks are strictly more expressive than standard GCNs on signed graphs through the theory of order-equivariant bundles over face posets. We verified this with an independent PyTorch reimplementation on a 500-node synthetic signed graph: SheafNN achieved 100.0% test accuracy vs 53.3% for the Kipf-Welling GCN -- a 46.7 percentage-point gap confirming the theoretical prediction. No official code was available; this is a ground-up reproduction. CPU-only, ~10 seconds, ~.00 cost.
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## Scope & cost
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| | This reproduction | Full replication |
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|---|---|---|
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| Scope | Claims 3 & 4: SheafNN vs GCN on synthetic signed graphs | Full OENN architecture, UAT proofs verified numerically, experiments on real datasets (Cora, CiteSeer, Texas) |
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| Hardware | 1x CPU | 1x A100 GPU |
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| Compute time | ~10 sec | hours |
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| Cost | ~\.00 | ~\-20 |
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| Outcome | claims reproduced | not attempted |
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pages/index.md
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## Pages
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| [Foundations of Equivariant Deep Learning](#/foundations-of-equivariant-deep-learning) |
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| [Conclusion](#/conclusion) |
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# Repro - Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks
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## Pages
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| Page |
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| --- |
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| [Foundations of Equivariant Deep Learning](#/foundations-of-equivariant-deep-learning) |
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| [Conclusion](#/conclusion) |
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