Compositional Generalization by Learning Analytical Expressions
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Abstract (arXiv)
Compositional generalization is a basic and essential intellective capability of human beings, which allows us to recombine known parts readily. However, existing neural network based models have been proven to be extremely deficient in such a capability. Inspired by work in cognition which argues compositionality can be captured by variable slots with symbolic functions, we present a refreshing view that connects a memory-augmented neural model with analytical expressions, to achieve compositional generalization. Our model consists of two cooperative neural modules, Composer and Solver, fitting well with the cognitive argument while being able to be trained in an end-to-end manner via a hierarchical reinforcement learning algorithm. Experiments on the well-known benchmark SCAN demonstrate that our model seizes a great ability of compositional generalization, solving all challenges addressed by previous works with 100% accuracies.
Key facts. Cited by 53 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Jun 2020.
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Citing papers per year: 2021: 17; 2022: 14; 2023: 12; 2024: 7; 2025: 3.
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- 2022Least-to-Most Prompting Enables Complex Reasoning in Large Language Modelscited by 1,397
- 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformerscited by 117
- 2023Randomized Positional Encodings Boost Length Generalization of Transformerscited by 114
- 2022Compositional Semantic Parsing with Large Language Modelscited by 95
- 2021Making Transformers Solve Compositional Taskscited by 72
- 2021The Neural Data Router: Adaptive Control Flow in Transformers Improves Systematic Generalizationcited by 62
- 2024ConceptMix: A Compositional Image Generation Benchmark with Controllable Difficultycited by 60
- 2021Unlocking Compositional Generalization in Pre-trained Models Using Intermediate Representationscited by 55
- 2023How Do In-Context Examples Affect Compositional Generalization?cited by 51
- 2022Evaluating the Impact of Model Scale for Compositional Generalization in Semantic Parsingcited by 50
- 2021Improving Compositional Generalization with Latent Structure and Data Augmentationcited by 46
- 2021Learning Algebraic Recombination for Compositional Generalizationcited by 31
38 more
- 2021Sequence-to-Sequence Learning with Latent Neural Grammarscited by 30
- 2021Lexicon Learning for Few-Shot Neural Sequence Modelingcited by 28
- 2021Finding needles in a haystack: Sampling Structurally-diverse Training Sets from Synthetic Data for Compositional Generalizationcited by 27
- 2022How to Reuse and Compose Knowledge for a Lifetime of Tasks: A Survey on Continual Learning and Functional Compositioncited by 27
- 2021Inducing Transformer's Compositional Generalization Ability via Auxiliary Sequence Prediction Taskscited by 19
- 2023ExeDec: Execution Decomposition for Compositional Generalization in Neural Program Synthesiscited by 17
- 2024Can Models Learn Skill Composition from Examples?cited by 17
- 2022Measuring and Improving Compositional Generalization in Text-to-SQL via Component Alignmentcited by 16
- 2021Modeling Hierarchical Structures with Continuous Recursive Neural Networkscited by 15
- 2022Neural-Symbolic Recursive Machine for Systematic Generalizationcited by 12
- 2022Induced Natural Language Rationales and Interleaved Markup Tokens Enable Extrapolation in Large Language Modelscited by 10
- 2021Learning Symbolic Rules for Reasoning in Quasi-Natural Languagecited by 9
- 2022Mutual Exclusivity Training and Primitive Augmentation to Induce Compositionalitycited by 8
- 2021Compositional Generalization for Natural Language Interfaces to Web APIscited by 7
- 2023MAGNIFICo: Evaluating the In-Context Learning Ability of Large Language Models to Generalize to Novel Interpretationscited by 7
- 2021A Minimalist Dataset for Systematic Generalization of Perception, Syntax, and Semanticscited by 6
- 2021Learning to Generalize Compositionally by Transferring Across Semantic Parsing Taskscited by 6
- 2022Compositional Generalization and Decomposition in Neural Program Synthesiscited by 6
- 2023Does Deep Learning Learn to Abstract? A Systematic Probing Frameworkcited by 6
- 2023Beam Tree Recursive Cellscited by 6
- 2024Towards Understanding the Relationship between In-context Learning and Compositional Generalizationcited by 5
- 2024What makes Models Compositional? A Theoretical View: With Supplementcited by 5
- 2023Efficient Beam Tree Recursioncited by 4
- 2023Compositional Program Generation for Few-Shot Systematic Generalizationcited by 4
- 2022Equivariant Transduction through Invariant Alignmentcited by 3
- 2023Learning to Compose Representations of Different Encoder Layers towards Improving Compositional Generalizationcited by 3
- 2021Distributionally Robust Recurrent Decoders with Random Network Distillationcited by 2
- 2023Semantic-aware Contrastive Learning for More Accurate Semantic Parsingcited by 2
- 2023Layer-wise Representation Fusion for Compositional Generalizationcited by 2
- 2023Harnessing Dataset Cartography for Improved Compositional Generalization in Transformerscited by 2
- 2025HCCM: Hierarchical Cross-Granularity Contrastive and Matching Learning for Natural Language-Guided Dronescited by 2
- 2022Measuring Alignment Bias in Neural Seq2Seq Semantic Parserscited by 1
- 2024Consistency of Compositional Generalization across Multiple Levelscited by 1
- 2021Concepts, Properties and an Approach for Compositional Generalizationcited by 0
- 2022Learning Invariable Semantical Representation from Language for Extensible Policy Generalizationcited by 0
- 2022Tackling Math Word Problems with Fine-to-Coarse Abstracting and Reasoningcited by 0
- 2022A Short Survey of Systematic Generalizationcited by 0
- 2024Machine Learning and Data Analysis Using Posets: A Surveycited by 0
50 most cited of 53 All 53 (JSON)
- 2025HCCM: Hierarchical Cross-Granularity Contrastive and Matching Learning for Natural Language-Guided Drones29 Aug 2025
- 2025A Neuroscience-Inspired Dual-Process Model of Compositional Generalization25 Jul 2025
- 2025Data Distributional Properties As Inductive Bias for Systematic Generalization27 Feb 2025
- 2024Consistency of Compositional Generalization across Multiple Levels18 Dec 2024
- 2024Can Models Learn Skill Composition from Examples?29 Sep 2024
- 2024ConceptMix: A Compositional Image Generation Benchmark with Controllable Difficulty26 Aug 2024
- 2024What makes Models Compositional? A Theoretical View: With Supplement2 May 2024
- 2024Enhancing Length Extrapolation in Sequential Models with Pointer-Augmented Neural Memory18 Apr 2024
- 2024Machine Learning and Data Analysis Using Posets: A Survey3 Apr 2024
- 2024Towards Understanding the Relationship between In-context Learning and Compositional Generalization18 Mar 2024
- 2023Harnessing Dataset Cartography for Improved Compositional Generalization in Transformers18 Oct 2023
- 2023MAGNIFICo: Evaluating the In-Context Learning Ability of Large Language Models to Generalize to Novel Interpretations18 Oct 2023
38 more
- 2023Compositional Program Generation for Few-Shot Systematic Generalization28 Sep 2023
- 2023ExeDec: Execution Decomposition for Compositional Generalization in Neural Program Synthesis26 Jul 2023
- 2023Layer-wise Representation Fusion for Compositional Generalization20 Jul 2023
- 2023Efficient Beam Tree Recursion20 Jul 2023
- 2023Beam Tree Recursive Cells31 May 2023
- 2023Randomized Positional Encodings Boost Length Generalization of Transformers26 May 2023
- 2023Learning to Compose Representations of Different Encoder Layers towards Improving Compositional Generalization20 May 2023
- 2023How Do In-Context Examples Affect Compositional Generalization?8 May 2023
- 2023Does Deep Learning Learn to Abstract? A Systematic Probing Framework23 Feb 2023
- 2023Semantic-aware Contrastive Learning for More Accurate Semantic Parsing19 Jan 2023
- 2022Mutual Exclusivity Training and Primitive Augmentation to Induce Compositionality28 Nov 2022
- 2022A Short Survey of Systematic Generalization22 Nov 2022
- 2022Neural-Symbolic Recursive Machine for Systematic Generalization4 Oct 2022
- 2022Compositional Semantic Parsing with Large Language Models29 Sep 2022
- 2022Equivariant Transduction through Invariant Alignment22 Sep 2022
- 2022Induced Natural Language Rationales and Interleaved Markup Tokens Enable Extrapolation in Large Language Models24 Aug 2022
- 2022How to Reuse and Compose Knowledge for a Lifetime of Tasks: A Survey on Continual Learning and Functional Composition15 Jul 2022
- 2022Evaluating the Impact of Model Scale for Compositional Generalization in Semantic Parsing24 May 2022
- 2022Least-to-Most Prompting Enables Complex Reasoning in Large Language Models21 May 2022
- 2022Measuring Alignment Bias in Neural Seq2Seq Semantic Parsers17 May 2022
- 2022Tackling Math Word Problems with Fine-to-Coarse Abstracting and Reasoning17 May 2022
- 2022Measuring and Improving Compositional Generalization in Text-to-SQL via Component Alignment4 May 2022
- 2022Compositional Generalization and Decomposition in Neural Program Synthesis7 Apr 2022
- 2022Learning Invariable Semantical Representation from Language for Extensible Policy Generalization26 Jan 2022
- 2021Improving Compositional Generalization with Latent Structure and Data Augmentation14 Dec 2021
- 2021Compositional Generalization for Natural Language Interfaces to Web APIs9 Dec 2021
- 2021Learning Symbolic Rules for Reasoning in Quasi-Natural Language23 Nov 2021
- 2021Learning to Generalize Compositionally by Transferring Across Semantic Parsing Tasks9 Nov 2021
- 2021Distributionally Robust Recurrent Decoders with Random Network Distillation25 Oct 2021
- 2021The Neural Data Router: Adaptive Control Flow in Transformers Improves Systematic Generalization14 Oct 2021
- 2021Inducing Transformer's Compositional Generalization Ability via Auxiliary Sequence Prediction Tasks30 Sep 2021
- 2021Finding needles in a haystack: Sampling Structurally-diverse Training Sets from Synthetic Data for Compositional Generalization6 Sep 2021
- 2021Sequence-to-Sequence Learning with Latent Neural Grammars2 Sep 2021
- 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformers26 Aug 2021
- 2021Making Transformers Solve Compositional Tasks9 Aug 2021
- 2021Learning Algebraic Recombination for Compositional Generalization14 Jul 2021
- 2021Modeling Hierarchical Structures with Continuous Recursive Neural Networks10 Jun 2021
- 2021Lexicon Learning for Few-Shot Neural Sequence Modeling7 Jun 2021
50 newest of 53 All 53 (JSON)
- 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformerscited by 117
- 2023Randomized Positional Encodings Boost Length Generalization of Transformerscited by 114
- 2022Compositional Semantic Parsing with Large Language Modelscited by 95
- 2021Making Transformers Solve Compositional Taskscited by 72
- 2021The Neural Data Router: Adaptive Control Flow in Transformers Improves Systematic Generalizationcited by 62
- 2024ConceptMix: A Compositional Image Generation Benchmark with Controllable Difficultycited by 60
- 2021Unlocking Compositional Generalization in Pre-trained Models Using Intermediate Representationscited by 55
- 2022Evaluating the Impact of Model Scale for Compositional Generalization in Semantic Parsingcited by 50
- 2021Improving Compositional Generalization with Latent Structure and Data Augmentationcited by 46
- 2021Learning Algebraic Recombination for Compositional Generalizationcited by 31
- 2021Sequence-to-Sequence Learning with Latent Neural Grammarscited by 30
- 2021Lexicon Learning for Few-Shot Neural Sequence Modelingcited by 28
12 most cited of 51 All 51 (JSON)
- 2025HCCM: Hierarchical Cross-Granularity Contrastive and Matching Learning for Natural Language-Guided Drones29 Aug 2025
- 2025A Neuroscience-Inspired Dual-Process Model of Compositional Generalization25 Jul 2025
- 2025Data Distributional Properties As Inductive Bias for Systematic Generalization27 Feb 2025
- 2024Consistency of Compositional Generalization across Multiple Levels18 Dec 2024
- 2024Can Models Learn Skill Composition from Examples?29 Sep 2024
- 2024ConceptMix: A Compositional Image Generation Benchmark with Controllable Difficulty26 Aug 2024
- 2024What makes Models Compositional? A Theoretical View: With Supplement2 May 2024
- 2024Enhancing Length Extrapolation in Sequential Models with Pointer-Augmented Neural Memory18 Apr 2024
- 2024Machine Learning and Data Analysis Using Posets: A Survey3 Apr 2024
- 2024Towards Understanding the Relationship between In-context Learning and Compositional Generalization18 Mar 2024
- 2023Harnessing Dataset Cartography for Improved Compositional Generalization in Transformers18 Oct 2023
- 2023MAGNIFICo: Evaluating the In-Context Learning Ability of Large Language Models to Generalize to Novel Interpretations18 Oct 2023
12 newest of 51 All 51 (JSON)