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The Scattering Compositional Learner: Discovering Objects, Attributes, Relationships in Analogical Reasoning
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In this work, we focus on an analogical reasoning task that contains rich compositional structures, Raven's Progressive Matrices (RPM). To discover compositional structures of the data, we propose the Scattering Compositional Learner (SCL), an architecture that composes neural networks in a sequence. Our SCL achieves state-of-the-art performance on two RPM datasets, with a 48.7% relative improvement on Balanced-RAVEN and 26.4% on PGM over the previous state-of-the-art. We additionally show that our model discovers compositional representations of objects' attributes (e.g., shape color, size), and their relationships (e.g., progression, union). We also find that the compositional representation makes the SCL significantly more robust to test-time domain shifts and greatly improves zero-shot generalization to previously unseen analogies.
Forward citations
Cited by 3 Pith papers
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Beyond Task-Specific Reasoning: A Unified Conditional Generative Framework for Abstract Visual Reasoning
A single conditional generative model, trained only on RPM-style puzzles, can be repurposed via probability scoring to solve odd-one-out, analogy, and categorization tasks, with modest zero-shot transfer.
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Systematic Abductive Reasoning via Diverse Relation Representations in Vector-symbolic Architecture
Rel-SAR, a vector-symbolic architecture with numeric, circular, and boolean vectors, improves accuracy on Raven's Progressive Matrices, particularly for position-based rules.
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Towards Learning to Reason: Comparing LLMs with Neuro-Symbolic on Arithmetic Relations in Abstract Reasoning
With oracle text attributes, GPT-4 and Llama-3 solve Raven matrices but their arithmetic-rule accuracy drops below 10% on larger grids and value ranges, while the neuro-symbolic ARLC model stays accurate.
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