---
title: "Open-Endedness is Essential for Artificial Superhuman Intelligence"
description: "The authors propose a formal definition that depends on the observer. 141 references, cited by 11 papers here."
authors: ["Edward Hughes", "Michael Dennis", "Jack Parker-Holder", "Feryal Behbahani", "Aditi Mavalankar", "Yuge Shi", "Tom Schaul", "Tim Rocktaschel"]
year: 2024
venue: "arXiv:2406.04268"
source: "https://arxiv.org/abs/2406.04268"
doi: "10.48550/arxiv.2406.04268"
arxiv: "2406.04268"
licence: "CC BY 4.0 (arXiv)"
licence_url: "http://creativecommons.org/licenses/by/4.0/"
summary_licence: "Elamur Cosmic License"
canonical: "https://research.elamur.ai/free/en/papers/hughes-2024-open-endedness-essential-artificial-superhuman/"
---
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# Open-Endedness is Essential for Artificial Superhuman Intelligence

**Authors:** [Edward Hughes](https://md.research.elamur.ai/free/en/authors/edward-hughes/), Michael Dennis, Jack Parker-Holder, [Feryal Behbahani](https://md.research.elamur.ai/free/en/authors/feryal-behbahani/), Aditi Mavalankar, Yuge Shi, [Tom Schaul](https://md.research.elamur.ai/free/en/authors/tom-schaul/) and [Tim Rocktaschel](https://md.research.elamur.ai/free/en/authors/tim-rocktaschel/) · **Year:** 2024 · **Venue:** arXiv:2406.04268 · **Licence:** [CC BY 4.0 (arXiv)](http://creativecommons.org/licenses/by/4.0/)

**Links:** [Publisher's page](https://arxiv.org/abs/2406.04268) · [PDF](https://arxiv.org/pdf/2406.04268) · [DOI 10.48550/arxiv.2406.04268](https://doi.org/10.48550/arxiv.2406.04268) · [arXiv 2406.04268](https://arxiv.org/abs/2406.04268) · [OpenAlex](https://openalex.org/W4399454695)

**Citations:** 3 citations (OpenAlex, 2026-10-14) · [11](https://md.research.elamur.ai/free/en/papers/hughes-2024-open-endedness-essential-artificial-superhuman/cited-by/) in our library, of the 149,439 papers whose bibliographies we read

## Summary
This position paper from Google DeepMind (ICML 2024) asks what an AI system would need in order to keep generating new knowledge by itself. It argues that this capacity, open-endedness, is a prerequisite for artificial superhuman intelligence (ASI). No dataset, model or benchmark is released, so the contribution is conceptual. The authors propose a formal definition that depends on the observer. A system counts as open-ended for a given observer if its stream of artifacts keeps producing items that the observer's predictive model fails to anticipate (novelty), while a longer history still improves those predictions (learnability). The authors then argue that foundation models make practical open-ended systems feasible, because they encode human ideas of what is interesting and can serve as general-purpose generators of variations. They add that current foundation models are not yet open-ended. Since high-quality static web data is limited, they expect progress toward ASI to depend on systems that create and refine their own knowledge. The paper also discusses the safety and societal risks this raises.

## Key points
- **Formalism:** a system S emits artifacts X_t, and an observer O predicts future artifacts with a model X̂_t scored by a loss ℓ(t, T).
  - *Novelty:* for any fixed t, some later artifact always has higher expected loss.
  - *Learnability:* for a fixed target, expected loss falls as more history is observed.
- **Illustrations:**
  - A noisy TV with uniform noise is learnable but stops being novel once the model converges.
  - A TV whose channel is switched at random is novel but not learnable.
  - A figure shows that aircraft designs look different to a mouse, an aerospace student and a superintelligent alien.
- **Prior definitions:** the definition generalises the four necessary conditions of Soros and Stanley (2014) without requiring an evolutionary process. It overlaps substantially with Sigaud et al. (2023).
- **Motivation and directions:** the authors cite possible exhaustion of training data (Villalobos et al., 2022). Earlier open-ended successes they mention include Go, adaptation to 3D tasks (Bauer et al., 2023), the Minecraft tech tree (Wang et al., 2023a) and new mathematical results (Romera-Paredes et al., 2024). Proposed research directions pair foundation models with evolutionary algorithms and reinforcement learning.
- **Safety (Section 4):**
  - Humans must stay able to understand the generated artifacts, which makes explainability central.
  - Society needs to prepare for feedback-loop tipping points such as flash crashes.
  - Open-ended search should be steered toward artifacts that are useful, not merely safe.

*Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.*

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## Cite

Cite as: Edward Hughes, Michael Dennis, Jack Parker-Holder, Feryal Behbahani, Aditi Mavalankar, Yuge Shi, Tom Schaul and Tim Rocktaschel. 2024. Open-Endedness is Essential for Artificial Superhuman Intelligence. arXiv:2406.04268.

The paper itself, not this page. BibTeX from the library's record of the work.

```bibtex
@misc{hughes2024open,
  title = {{Open-Endedness is Essential for Artificial Superhuman Intelligence}},
  author = {Edward Hughes, Michael Dennis, Jack Parker-Holder, Feryal Behbahani, Aditi Mavalankar, Yuge Shi, Tom Schaul and Tim Rocktaschel},
  year = {2024},
  doi = {10.48550/arxiv.2406.04268},
  eprint = {2406.04268},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.48550/arxiv.2406.04268}
}
```

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*Updated 3 November 2026*
