Discovering Variable Binding Circuitry with Desiderata
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Abstract (arXiv)
Recent work has shown that computation in language models may be human-understandable, with successful efforts to localize and intervene on both single-unit features and input-output circuits. Here, we introduce an approach which extends causal mediation experiments to automatically identify model components responsible for performing a specific subtask by solely specifying a set of textitdesiderata, or causal attributes of the model components executing that subtask. As a proof of concept, we apply our method to automatically discover shared textitvariable binding circuitry in LLaMA-13B, which retrieves variable values for multiple arithmetic tasks. Our method successfully localizes variable binding to only 9 attention heads (of the 1.6k) and one MLP in the final token's residual stream.
Key facts. Cited by 32 papers in the map (data through 13 Oct 2026). Builds on 13 of its 18 references that are in the map. First posted on arXiv 7 Jul 2023.
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13 of 18 references.
References · 13
- 2014Adam: A Method for Stochastic Optimizationcited by 37,093
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- 2022Locating and Editing Factual Associations in GPTcited by 2,650
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- 2022Discovering Latent Knowledge in Language Models Without Supervisioncited by 750
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- 2017Learning Sparse Neural Networks through L0 Regularizationcited by 574
- 2022Emergent World Representations: Exploring a Sequence Model Trained on a Synthetic Taskcited by 421
- 2023Finding Alignments Between Interpretable Causal Variables and Distributed Neural Representationscited by 201
- 2022Toward Transparent AI: A Survey on Interpreting the Inner Structures of Deep Neural Networkscited by 127
- 2021Inducing Causal Structure for Interpretable Neural Networkscited by 108
- 2023Interpretability at Scale: Identifying Causal Mechanisms in Alpacacited by 102
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- 2023Characterizing Manipulation from AI Systemscited by 43
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Citing papers per year: 2023: 3; 2024: 6; 2025: 9; 2026: 14.
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- 2025Language Models use Lookbacks to Track Beliefscited by 36
- 2023Interpretability Illusions in the Generalization of Simplified Modelscited by 25
- 2026Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behaviorcited by 25
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- 2025Mixing Mechanisms: How Language Models Retrieve Bound Entities In-Contextcited by 24
- 2023Grokking Group Multiplication with Cosetscited by 22
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- 2026Causal and Interpretable Structures in LLM Compositional Tasks28 Sep 2026
- 2026Who Says What: Symbolic Trimodal Binding Mechanisms in Audio-Visual LLMs25 Sep 2026
- 2026Test, then Route: How Language Models Execute In-Context Conditional Rules Across Models and Languages4 Aug 2026
- 2026Syntax vs. Semantics: How Transformers Learn Deep Dependencies26 Jun 2026
- 2026Vision-Language Models are Fragile Multilingual Associators2 Jun 2026
- 2026Multi-component Causal Tracing in Large Language Models2 Jun 2026
- 2026Assign and Add: A Mechanistic Study of Compositional Arithmetic29 May 2026
- 2026Do Language Models Track Entities Across State Changes?28 May 2026
- 2026Cultural Binding Heads in Language Models27 May 2026
- 2026Mechanistic origins of catastrophic forgetting: why RL preserves circuits better than SFT?21 May 2026
- 2026Data-driven Circuit Discovery for Interpretability of Language Models9 May 2026
- 2026Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behavior6 May 2026
20 more
- 2026The Dual Mechanisms of Spatial Variable Binding in Vision-Language Models23 Mar 2026
- 2026From Directions to Regions: Decomposing Activations in Language Models via Local Geometry2 Feb 2026
- 2025Constructive Circuit Amplification: Improving Math Reasoning in LLMs via Targeted Sub-Network Updates18 Dec 2025
- 2025LLMs Process Lists With General Filter Heads30 Oct 2025
- 2025Mixing Mechanisms: How Language Models Retrieve Bound Entities In-Context7 Oct 2025
- 2025How Causal Abstraction Underpins Computational Explanation15 Aug 2025
- 2025Interpretation Meets Safety: A Survey on Interpretation Methods and Tools for Improving LLM Safety5 Jun 2025
- 2025How Do Transformers Learn Variable Binding in Symbolic Programs?27 May 2025
- 2025Language Models use Lookbacks to Track Beliefs20 May 2025
- 2025MIB: A Mechanistic Interpretability Benchmark17 Apr 2025
- 2025Neuroplasticity and Corruption in Model Mechanisms: A Case Study Of Indirect Object Identification27 Feb 2025
- 2024Recurrent Neural Networks Learn to Store and Generate Sequences using Non-Linear Representations20 Aug 2024
- 2024The Quest for the Right Mediator: Surveying Mechanistic Interpretability Through the Lens of Causal Mediation Analysis2 Aug 2024
- 2024Philosophy of Cognitive Science in the Age of Deep Learning7 May 2024
- 2024Mechanistic Interpretability for AI Safety -- A Review22 Apr 2024
- 2024RAVEL: Evaluating Interpretability Methods on Disentangling Language Model Representations27 Feb 2024
- 2024Fine-Tuning Enhances Existing Mechanisms: A Case Study on Entity Tracking22 Feb 2024
- 2023Look Before You Leap: A Universal Emergent Decomposition of Retrieval Tasks in Language Models13 Dec 2023
- 2023Grokking Group Multiplication with Cosets11 Dec 2023
- 2023Interpretability Illusions in the Generalization of Simplified Models6 Dec 2023
- 2024Mechanistic Interpretability for AI Safety -- A Reviewcited by 420
- 2024RAVEL: Evaluating Interpretability Methods on Disentangling Language Model Representationscited by 78
- 2025MIB: A Mechanistic Interpretability Benchmarkcited by 50
- 2024The Quest for the Right Mediator: Surveying Mechanistic Interpretability Through the Lens of Causal Mediation Analysiscited by 24
- 2026Data-driven Circuit Discovery for Interpretability of Language Modelscited by 2
- 2026Data-driven Circuit Discovery for Interpretability of Language Models9 May 2026
- 2025MIB: A Mechanistic Interpretability Benchmark17 Apr 2025
- 2024The Quest for the Right Mediator: Surveying Mechanistic Interpretability Through the Lens of Causal Mediation Analysis2 Aug 2024
- 2024Mechanistic Interpretability for AI Safety -- A Review22 Apr 2024
- 2024RAVEL: Evaluating Interpretability Methods on Disentangling Language Model Representations27 Feb 2024
- 2024Fine-Tuning Enhances Existing Mechanisms: A Case Study on Entity Trackingcited by 142
- 2024Recurrent Neural Networks Learn to Store and Generate Sequences using Non-Linear Representationscited by 45
- 2025Language Models use Lookbacks to Track Beliefscited by 36
- 2023Interpretability Illusions in the Generalization of Simplified Modelscited by 25
- 2026Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behaviorcited by 25
- 2025Mixing Mechanisms: How Language Models Retrieve Bound Entities In-Contextcited by 24
- 2023Grokking Group Multiplication with Cosetscited by 22
- 2025How Do Transformers Learn Variable Binding in Symbolic Programs?cited by 20
- 2023Look Before You Leap: A Universal Emergent Decomposition of Retrieval Tasks in Language Modelscited by 18
- 2026From Directions to Regions: Decomposing Activations in Language Models via Local Geometrycited by 11
- 2025How Causal Abstraction Underpins Computational Explanationcited by 10
- 2025LLMs Process Lists With General Filter Headscited by 7
12 most cited of 22 All 22 (JSON)
- 2026Causal and Interpretable Structures in LLM Compositional Tasks28 Sep 2026
- 2026Test, then Route: How Language Models Execute In-Context Conditional Rules Across Models and Languages4 Aug 2026
- 2026Syntax vs. Semantics: How Transformers Learn Deep Dependencies26 Jun 2026
- 2026Multi-component Causal Tracing in Large Language Models2 Jun 2026
- 2026Assign and Add: A Mechanistic Study of Compositional Arithmetic29 May 2026
- 2026Do Language Models Track Entities Across State Changes?28 May 2026
- 2026Cultural Binding Heads in Language Models27 May 2026
- 2026Mechanistic origins of catastrophic forgetting: why RL preserves circuits better than SFT?21 May 2026
- 2026Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behavior6 May 2026
- 2026From Directions to Regions: Decomposing Activations in Language Models via Local Geometry2 Feb 2026
- 2025LLMs Process Lists With General Filter Heads30 Oct 2025
- 2025Mixing Mechanisms: How Language Models Retrieve Bound Entities In-Context7 Oct 2025
12 newest of 22 All 22 (JSON)