Holonomy_lib, exact non Euclidean geometry primitives for PyTorch
Holonomy_lib is a new PyTorch math library designed for advanced research in differential geometry and related fields. It features a comprehensive set of modules and primitives, all grounded in academic citations. The library aims to streamline the mathematical foundations necessary for modern machine learning applications.
- ▪Holonomy_lib includes twelve modules and 1179 tests, ensuring rigorous validation of its mathematical primitives.
- ▪The library supports various geometric structures, including Riemannian and pseudo-Riemannian manifolds.
- ▪Developed by independent researchers, it emphasizes mechanistic interpretability and content-addressable provenance.
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Record
| Original publisher | GitHub |
| Canonical URL | https://github.com/Synoros-io/holonomy_lib |
| Publication time | Sat, 30 May 2026 09:24:56 +0000 |
| Retrieval time | 2026-05-30T09:42:09.036Z |
| Last seen | 2026-05-30T09:42:09.036Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | TZxHO8xpeomQ |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
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| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
holonomy_lib A research-grade PyTorch math library: GPU-native, batched-first, audit-clean, with every primitive grounded in a citation. Differential geometry, spectral graph theory, discrete Ricci flow, tensor decompositions, Riemannian optimization, simplicial topology, batched persistent homology, and content-addressable provenance for mechanistic interpretability, all under one roof. Developed by independent and Synoros researchers for the substrate research. What this is A consolidated PyTorch math library for research at the intersection of differential geometry, spectral graph theory, computational topology, and mechanistic interpretability: the mathematics that modern ML keeps reinventing project by project.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at GitHub.