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ARC-NCA: Towards Developmental Solutions to the Abstraction and Reasoning Corpus (arxiv.org)
1 point by jekude on May 27, 2025 | hide | past | pdf | discuss on HN

In plain words: It solves picture puzzles by letting tiny grid cells update each other step by step, growing the answer like a developing organism, with some cells holding hidden memories. On these puzzles it matched or sometimes beat a leading chatbot at a fraction of the cost.

Abstract

The Abstraction and Reasoning Corpus (ARC), later renamed ARC-AGI, poses a fundamental challenge in artificial general intelligence (AGI), requiring solutions that exhibit robust abstraction and reasoning capabilities across diverse tasks, while only few (with median count of three) correct examples are presented. While ARC-AGI remains very challenging for artificial intelligence systems, it is rather easy for humans. This paper introduces ARC-NCA, a developmental approach leveraging standard Neural Cellular Automata (NCA) and NCA enhanced with hidden memories (EngramNCA) to tackle the ARC-AGI benchmark. NCAs are employed for their inherent ability to simulate complex dynamics and emergent patterns, mimicking developmental processes observed in biological systems. Developmental solutions may offer a promising avenue for enhancing AI's problem-solving capabilities beyond mere training data extrapolation. ARC-NCA demonstrates how integrating developmental principles into computational models can foster adaptive reasoning and abstraction. We show that our ARC-NCA proof-of-concept results may be comparable to, and sometimes surpass, that of ChatGPT 4.5, at a fraction of the cost.

Etienne Guichard, Felix Reimers, Mia Kvalsund, Mikkel Lepperød, Stefano Nichele
arXiv:2505.08778 · cs.AI, cs.NE · submitted May 13, 2025
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