On the Detection of Commutative Factors in Factor Graphs: Necessary and Sufficient Conditions
The paper discusses the detection of commutative factors in factor graphs, which are essential for efficient probabilistic inference. It critiques the current state-of-the-art algorithm, highlighting a flaw in its reliance on a theorem that is misinterpreted as a sufficient condition. The authors propose a corrected theorem and an improved algorithm that maintains efficiency while ensuring accuracy in identifying commutative factors.
- ▪The paper addresses the identification of commutative factors in factor graphs, crucial for lifted probabilistic inference.
- ▪It reveals that the existing algorithm is based on a misinterpreted theorem, leading to potentially incorrect results.
- ▪The authors provide a modified theorem and a new algorithm that corrects the flaws while preserving efficiency.
arXiv cs.AI files mainly under ai research. We currently carry 1,128 of its stories.
Story provenance
Source · retrieval · rights · ranking — open for full record
inspect →
Story provenance
Attribution is not the same as permission. This drawer separates discovery metadata, excerpts, WeSearch-generated summaries, reuse status, and whether the publisher receives the visit. Nothing here claims a legal grant the publisher has not made.
Record
| Original publisher | arXiv cs.AI |
| Canonical URL | https://arxiv.org/abs/2605.26908 |
| Publication time | Wed, 27 May 2026 00:00:00 -0400 |
| Retrieval time | 2026-05-27T04:07:56.398Z |
| Last seen | 2026-05-27T04:07:56.398Z |
| 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 | D5nkYp6xHLKt |
| 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)
WeSearch handling by dimension
| 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
Computer Science > Artificial Intelligence arXiv:2605.26908 (cs) [Submitted on 26 May 2026] Title:On the Detection of Commutative Factors in Factor Graphs: Necessary and Sufficient Conditions Authors:Malte Luttermann, Ralf Möller, Marcel Gehrke View a PDF of the paper titled On the Detection of Commutative Factors in Factor Graphs: Necessary and Sufficient Conditions, by Malte Luttermann and 2 other authors View PDF Abstract:Exploiting the indistinguishability of objects in a probabilistic graphical model such as a factor graph is key to lifted probabilistic inference algorithms and allows for tractable probabilistic inference problems with respect to domain sizes.
…
Excerpt limited to ~120 words for fair-use compliance. The full article is at arXiv cs.AI.
Discussion
0 commentsMore from arXiv cs.AI
