Compositionality decomposed: how do neural networks generalise?
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Abstract (arXiv)
Despite a multitude of empirical studies, little consensus exists on whether neural networks are able to generalise compositionally, a controversy that, in part, stems from a lack of agreement about what it means for a neural model to be compositional. As a response to this controversy, we present a set of tests that provide a bridge between, on the one hand, the vast amount of linguistic and philosophical theory about compositionality of language and, on the other, the successful neural models of language. We collect different interpretations of compositionality and translate them into five theoretically grounded tests for models that are formulated on a task-independent level. In particular, we provide tests to investigate (i) if models systematically recombine known parts and rules (ii) if models can extend their predictions beyond the length they have seen in the training data (iii) if models' composition operations are local or global (iv) if models' predictions are robust to synonym substitutions and (v) if models favour rules or exceptions during training. To demonstrate the usefulness of this evaluation paradigm, we instantiate these five tests on a highly compositional data set which we dub PCFG SET and apply the resulting tests to three popular sequence-to-sequence models: a recurrent, a convolution-based and a transformer model. We provide an in-depth analysis of the results, which uncover the strengths and weaknesses of these three architectures and point to potential areas of improvement.
Key facts. Cited by 265 papers in the map (data through 14 Oct 2026). First posted on arXiv 22 Aug 2019.
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Citing papers per year: 2021: 32; 2022: 34; 2023: 56; 2024: 58; 2025: 46; 2026: 39.
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- 2021Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolationcited by 1,103
- 2022Measuring and Narrowing the Compositionality Gap in Language Modelscited by 1,075
- 2022Socratic Models: Composing Zero-Shot Multimodal Reasoning with Languagecited by 513
- 2023The Impact of Positional Encoding on Length Generalization in Transformerscited by 327
- 2023SugarCrepe: Fixing Hackable Benchmarks for Vision-Language Compositionalitycited by 243
- 2023Large Language Models as General Pattern Machinescited by 197
- 2022CREPE: Can Vision-Language Foundation Models Reason Compositionally?cited by 181
- 2021A Survey of Zero-shot Generalisation in Deep Reinforcement Learningcited by 170
- 2021How much do language models copy from their training data? Evaluating linguistic novelty in text generation using RAVENcited by 124
- 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformerscited by 117
- 2022Unveiling Transformers with LEGO: a synthetic reasoning taskcited by 106
- 2022State-of-the-art generalisation research in NLP: A taxonomy and reviewcited by 98
38 more
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- 2024No "Zero-Shot" Without Exponential Data: Pretraining Concept Frequency Determines Multimodal Model Performancecited by 75
- 2023Generalization on the Unseen, Logic Reasoning and Degree Curriculumcited by 73
- 2021Making Transformers Solve Compositional Taskscited by 72
- 2022Learning to Compose Soft Prompts for Compositional Zero-Shot Learningcited by 67
- 2021The Neural Data Router: Adaptive Control Flow in Transformers Improves Systematic Generalizationcited by 62
- 2024ConceptMix: A Compositional Image Generation Benchmark with Controllable Difficultycited by 61
- 2021The paradox of the compositionality of natural language: a neural machine translation case studycited by 59
- 2023Linear Spaces of Meanings: Compositional Structures in Vision-Language Modelscited by 48
- 2023Break It Down: Evidence for Structural Compositionality in Neural Networkscited by 44
- 2022A Benchmark for Compositional Visual Reasoningcited by 43
- 2022Can language models handle recursively nested grammatical structures? A case study on comparing models and humanscited by 41
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- 2021How BPE Affects Memorization in Transformerscited by 29
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- 2021Symbolic Brittleness in Sequence Models: on Systematic Generalization in Symbolic Mathematicscited by 27
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- 2023Approximating Two-Layer Feedforward Networks for Efficient Transformerscited by 27
- 2024Universal Length Generalization with Turing Programscited by 25
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- 2023SLOG: A Structural Generalization Benchmark for Semantic Parsingcited by 22
50 most cited of 265 All 265 (JSON)
- 2026From Copying to Composition: How Language Models Develop In-Context Learning13 Oct 2026
- 2026Typological Alignment of Stack-Based Language Models on Mildly Context-Sensitive Artificial Languages1 Oct 2026
- 2026Neural Language Models Learn the Contextual Distributions of Dependency Structures: a statistical learning theory to compositionality28 Sep 2026
- 2026Diagnosing the Sources of Compositional Failure in Vision-Language Models: A Controlled Analysis25 Sep 2026
- 2026What Do Current Systematic Generalization Tasks Miss? A Reasoning-Centered Analysis16 Sep 2026
- 2026Thought without systematicity? Evaluating reasoning models on rule induction tasks12 Sep 2026
- 2026Factors Influencing the Emergence of Dependency Length Minimization in Neural Agent Simulations5 Sep 2026
- 2026Universal Transformers for Circuit Computations: Perfect Length Generalization in Tiny Transformers31 Aug 2026
- 2026Beyond Multimodal Alignment: Certifying Physical Language through Response Substitution and Ordered Execution19 Aug 2026
- 2026Quantum Models with Multi-Stage Training for Compositional Concept Generalization16 Aug 2026
- 2026Scale Up Strategically: Learning Compositional Generalization via Bias-Aware Evaluation and Data Collection for Robotic Manipulation23 Jul 2026
- 2026On the Computational Complexity of Structural Generalization21 Jul 2026
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- 2026Adversarial Concept Search: Predicting Compositional Errors From Feature Geometry11 Jun 2026
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- 2026KamonBench: A Grammar-Based Dataset for Evaluating Compositional Factor Recovery in Vision-Language Models13 May 2026
- 2026Emergent and Subliminal Misalignment Through the Lens of Data-Mediated Transfer12 May 2026
- 2026Benchmarking Compositional Generalisation for Machine Learning Interatomic Potentials9 May 2026
- 2026Reinforcement Learning for Compositional Generalization with Outcome-Level Optimization6 May 2026
- 2026When LLMs Stop Following Steps: A Diagnostic Study of Procedural Execution in Language Models1 May 2026
- 2026Investigating More Explainable and Partition-Free Compositionality Estimation for LLMs: A Rule-Generation Perspective30 Apr 2026
- 2026Generalization in LLM Problem Solving: The Case of the Shortest Path16 Apr 2026
- 2026Stop Probing, Start Coding: Why Linear Probes and Sparse Autoencoders Fail at Compositional Generalisation30 Mar 2026
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- 2026Composition-RL: Compose Your Verifiable Prompts for Reinforcement Learning of Large Language Models12 Feb 2026
- 2026Representational Homomorphism Predicts and Improves Compositional Generalization In Transformer Language Model26 Jan 2026
- 2026TabularMath: Evaluating Computational Extrapolation in Tabular Learning via Program-Verified Synthesis25 Jan 2026
- 2026CtD: Composition through Decomposition in Emergent Communication15 Jan 2026
- 2025Adapting, Fast and Slow: On Few-Shot Transportability of Compositions28 Dec 2025
- 2025Attention as Binding: A Vector-Symbolic Perspective on Transformer Reasoning8 Dec 2025
- 2025Understanding the Staged Dynamics of Transformers in Learning Latent Structure24 Nov 2025
- 2025DecompSR: A dataset for decomposed analyses of compositional multihop spatial reasoning4 Nov 2025
- 2025When No Paths Lead to Rome: Benchmarking Systematic Neural Relational Reasoning27 Oct 2025
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- 2025Adversarial D'ej`a Vu: Jailbreak Dictionary Learning for Stronger Generalization to Unseen Attacks24 Oct 2025
- 2025Memorizing Long-tail Data Can Help Generalization Through Composition18 Oct 2025
- 2025Adaptive Minds: Empowering Agents with LoRA-as-Tools17 Oct 2025
- 2025FOSSIL: Harnessing Feedback on Suboptimal Samples for Data-Efficient Generalisation with Imitation Learning for Embodied Vision-and-Language Tasks13 Oct 2025
- 2025How Do Language Models Compose Functions?2 Oct 2025
50 newest of 265 All 265 (JSON)
- 2022Measuring and Narrowing the Compositionality Gap in Language Modelscited by 1,075
- 2022Socratic Models: Composing Zero-Shot Multimodal Reasoning with Languagecited by 513
- 2022A Benchmark for Compositional Visual Reasoningcited by 43
- 2024Reasoning Abilities of Large Language Models: In-Depth Analysis on the Abstraction and Reasoning Corpuscited by 32
- 2023Learning to Reason and Memorize with Self-Notescited by 30
- 2023Dissociating language and thought in large language modelscited by 29
- 2022What do Toothbrushes do in the Kitchen? How Transformers Think our World is Structuredcited by 5
- 2024Assessing the Emergent Symbolic Reasoning Abilities of Llama Large Language Modelscited by 3
- 2025Knot So Simple: A Minimalistic Environment for Spatial Reasoningcited by 2
- 2025Attention as Binding: A Vector-Symbolic Perspective on Transformer Reasoningcited by 2
- 2023Explainable Verbal Reasoner Plus (EVR+): A Natural Language Reasoning Framework that Supports Diverse Compositional Reasoningcited by 1
- 2023A Hybrid System for Systematic Generalization in Simple Arithmetic Problemscited by 1
12 most cited of 18 All 18 (JSON)
- 2026Diagnosing the Sources of Compositional Failure in Vision-Language Models: A Controlled Analysis25 Sep 2026
- 2026Thought without systematicity? Evaluating reasoning models on rule induction tasks12 Sep 2026
- 2026Is Code Better Than Language for Algorithmic Reasoning14 Jun 2026
- 2026Arithmetic Pedagogy for Language Models3 Jun 2026
- 2025Attention as Binding: A Vector-Symbolic Perspective on Transformer Reasoning8 Dec 2025
- 2025DecompSR: A dataset for decomposed analyses of compositional multihop spatial reasoning4 Nov 2025
- 2025Iterative In-Context Learning to Enhance LLMs Abstract Reasoning: The Case-Study of Algebraic Tasks1 Sep 2025
- 2025Knot So Simple: A Minimalistic Environment for Spatial Reasoning23 May 2025
- 2024Assessing the Emergent Symbolic Reasoning Abilities of Llama Large Language Models5 Jun 2024
- 2024Reasoning Abilities of Large Language Models: In-Depth Analysis on the Abstraction and Reasoning Corpus18 Mar 2024
- 2023A Hybrid System for Systematic Generalization in Simple Arithmetic Problems29 Jun 2023
- 2023Learning to Reason and Memorize with Self-Notes1 May 2023
12 newest of 18 All 18 (JSON)
- 2023SugarCrepe: Fixing Hackable Benchmarks for Vision-Language Compositionalitycited by 243
- 2022CREPE: Can Vision-Language Foundation Models Reason Compositionally?cited by 181
- 2022Learning to Compose Soft Prompts for Compositional Zero-Shot Learningcited by 67
- 2023Linear Spaces of Meanings: Compositional Structures in Vision-Language Modelscited by 48
- 2023Beyond Task Performance: Evaluating and Reducing the Flaws of Large Multimodal Models with In-Context Learningcited by 30
- 2024The Hard Positive Truth about Vision-Language Compositionalitycited by 22
- 2024Iterated Learning Improves Compositionality in Large Vision-Language Modelscited by 17
- 2025When and How Does CLIP Enable Domain and Compositional Generalization?cited by 9
- 2023The Role of Linguistic Priors in Measuring Compositional Generalization of Vision-Language Modelscited by 6
- 2026Unveiling the Visual Counting Bottleneck in Vision-Language Modelscited by 1
- 2025Long Story Short: Disentangling Compositionality and Long-Caption Understanding in Contrastive VLMscited by 0
- 2026KamonBench: A Grammar-Based Dataset for Evaluating Compositional Factor Recovery in Vision-Language Modelscited by 0
- 2026Unveiling the Visual Counting Bottleneck in Vision-Language Models28 May 2026
- 2026KamonBench: A Grammar-Based Dataset for Evaluating Compositional Factor Recovery in Vision-Language Models13 May 2026
- 2025Long Story Short: Disentangling Compositionality and Long-Caption Understanding in Contrastive VLMs23 Sep 2025
- 2025When and How Does CLIP Enable Domain and Compositional Generalization?13 Feb 2025
- 2024The Hard Positive Truth about Vision-Language Compositionality26 Sep 2024
- 2024Iterated Learning Improves Compositionality in Large Vision-Language Models2 Apr 2024
- 2023The Role of Linguistic Priors in Measuring Compositional Generalization of Vision-Language Models4 Oct 2023
- 2023Beyond Task Performance: Evaluating and Reducing the Flaws of Large Multimodal Models with In-Context Learning1 Oct 2023
- 2023SugarCrepe: Fixing Hackable Benchmarks for Vision-Language Compositionality26 Jun 2023
- 2023Linear Spaces of Meanings: Compositional Structures in Vision-Language Models28 Feb 2023
- 2022CREPE: Can Vision-Language Foundation Models Reason Compositionally?13 Dec 2022
- 2022Learning to Compose Soft Prompts for Compositional Zero-Shot Learning7 Apr 2022
- 2022Can Wikipedia Help Offline Reinforcement Learning?cited by 77
- 2022NeuroCERIL: Robotic Imitation Learning via Hierarchical Cause-Effect Reasoning in Programmable Attractor Neural Networkscited by 1
- 2025FOSSIL: Harnessing Feedback on Suboptimal Samples for Data-Efficient Generalisation with Imitation Learning for Embodied Vision-and-Language Taskscited by 0
- 2026Beyond Mimicry: Toward Lifelong Adaptability in Imitation Learningcited by 0
- 2026Beyond Mimicry: Toward Lifelong Adaptability in Imitation Learning23 Feb 2026
- 2025FOSSIL: Harnessing Feedback on Suboptimal Samples for Data-Efficient Generalisation with Imitation Learning for Embodied Vision-and-Language Tasks13 Oct 2025
- 2022NeuroCERIL: Robotic Imitation Learning via Hierarchical Cause-Effect Reasoning in Programmable Attractor Neural Networks11 Nov 2022
- 2022Can Wikipedia Help Offline Reinforcement Learning?28 Jan 2022
- 2025Adaptive Minds: Empowering Agents with LoRA-as-Toolscited by 5
- 2025Adaptive Minds: Empowering Agents with LoRA-as-Tools17 Oct 2025
- 2023Sparse Universal Transformercited by 32
- 2023Sparse Universal Transformer11 Oct 2023
- 2021Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolationcited by 1,103
- 2023The Impact of Positional Encoding on Length Generalization in Transformerscited by 327
- 2023Large Language Models as General Pattern Machinescited by 197
- 2021A Survey of Zero-shot Generalisation in Deep Reinforcement Learningcited by 170
- 2021How much do language models copy from their training data? Evaluating linguistic novelty in text generation using RAVENcited by 124
- 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformerscited by 117
- 2022Unveiling Transformers with LEGO: a synthetic reasoning taskcited by 106
- 2022State-of-the-art generalisation research in NLP: A taxonomy and reviewcited by 98
- 2021Survey of Low-Resource Machine Translationcited by 92
- 2023A Theory of Emergent In-Context Learning as Implicit Structure Inductioncited by 86
- 2024Transformers Can Achieve Length Generalization But Not Robustlycited by 86
- 2023Modular Deep Learningcited by 83
12 most cited of 218 All 218 (JSON)
- 2026From Copying to Composition: How Language Models Develop In-Context Learning13 Oct 2026
- 2026Typological Alignment of Stack-Based Language Models on Mildly Context-Sensitive Artificial Languages1 Oct 2026
- 2026Neural Language Models Learn the Contextual Distributions of Dependency Structures: a statistical learning theory to compositionality28 Sep 2026
- 2026What Do Current Systematic Generalization Tasks Miss? A Reasoning-Centered Analysis16 Sep 2026
- 2026Factors Influencing the Emergence of Dependency Length Minimization in Neural Agent Simulations5 Sep 2026
- 2026Universal Transformers for Circuit Computations: Perfect Length Generalization in Tiny Transformers31 Aug 2026
- 2026Quantum Models with Multi-Stage Training for Compositional Concept Generalization16 Aug 2026
- 2026Scale Up Strategically: Learning Compositional Generalization via Bias-Aware Evaluation and Data Collection for Robotic Manipulation23 Jul 2026
- 2026On the Computational Complexity of Structural Generalization21 Jul 2026
- 2026Circuit Claims Depend on What Is Extracted and How It Is Compared21 Jul 2026
- 2026Input Pathways Shape Few-Shot, Not Zero-Shot, Binding in Tiny Transformers: A Fully-Enumerable Study6 Jul 2026
- 2026Structure Before Collapse: Transient semantic geometry in next-token prediction25 Jun 2026
12 newest of 218 All 218 (JSON)