
Closed-form predictive coding via hierarchical Gaussian filters
A new paper presents a method for closed-form predictive coding using hierarchical Gaussian filters. This approach addresses the limitations of current predictive coding networks by incorporating precision-weighted message passing. The proposed method shows improved performance on various tasks compared to traditional backpropagation techniques.
- ▪Predictive coding offers a biologically grounded alternative to backpropagation in training neural networks.
- ▪The new method restores precision-weighted message passing, yielding dynamic uncertainty estimates.
- ▪The approach outperforms traditional methods on online, data efficiency, and concept-drift tasks.
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Record
| Original publisher | arXiv cs.AI |
| Canonical URL | https://arxiv.org/abs/2605.20293 |
| Publication time | Fri, 22 May 2026 00:00:00 -0400 |
| Retrieval time | 2026-05-22T04:02:00.009Z |
| Last seen | 2026-05-22T04:02:00.009Z |
| 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 | c0C8TdZBOS0e |
| 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
Computer Science > Machine Learning arXiv:2605.20293 (cs) [Submitted on 19 May 2026] Title:Closed-form predictive coding via hierarchical Gaussian filters Authors:Aleksandrs Baskakovs, Sylvain Estebe, Kenneth Enevoldsen, Kristoffer Nielbo, Chris Mathys, Nicolas Legrand View a PDF of the paper titled Closed-form predictive coding via hierarchical Gaussian filters, by Aleksandrs Baskakovs and Sylvain Estebe and Kenneth Enevoldsen and Kristoffer Nielbo and Chris Mathys and Nicolas Legrand View PDF Abstract:Predictive coding (PC) offers a local and biologically grounded alternative to backpropagation in the training of artificial neural networks, yet to date, it remains slower, and performance degrades sharply as network depth increases.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at arXiv cs.AI.