BatchTopK Sparse Autoencoders
On the map: Mechanistic interpretability → SAE features and their applications
Abstract (arXiv)
Sparse autoencoders (SAEs) have emerged as a powerful tool for interpreting language model activations by decomposing them into sparse, interpretable features. A popular approach is the TopK SAE, that uses a fixed number of the most active latents per sample to reconstruct the model activations. We introduce BatchTopK SAEs, a training method that improves upon TopK SAEs by relaxing the top-k constraint to the batch-level, allowing for a variable number of latents to be active per sample. As a result, BatchTopK adaptively allocates more or fewer latents depending on the sample, improving reconstruction without sacrificing average sparsity. We show that BatchTopK SAEs consistently outperform TopK SAEs in reconstructing activations from GPT-2 Small and Gemma 2 2B, and achieve comparable performance to state-of-the-art JumpReLU SAEs. However, an advantage of BatchTopK is that the average number of latents can be directly specified, rather than approximately tuned through a costly hyperparameter sweep. We provide code for training and evaluating BatchTopK SAEs at https://github.com/bartbussmann/BatchTopK
Key facts. Cited by 130 papers in the map (data through 14 Oct 2026). Placed in SAE features and their applications, one of 13 directions in Mechanistic interpretability. Builds on 5 of its 9 references that are in the map. First posted on arXiv 9 Dec 2024.
Builds on
5 of 9 references.
Closest ancestors · 4
Same direction, newest first
- 2024Jumping Ahead: Improving Reconstruction Fidelity with JumpReLU Sparse Autoencoders19 Jul
- 2024Scaling and evaluating sparse autoencoders6 Jun
- 2024Improving Dictionary Learning with Gated Sparse Autoencoders24 Apr
- 2023Sparse Autoencoders Find Highly Interpretable Features in Language Models15 Sep
Other references · 1
- 2024Gemma 2: Improving Open Language Models at a Practical Sizecited by 1,998
Built on by
Citing papers per year: 2025: 47; 2026: 83.
130 papers.
Sort:
By area:
- 2025Learning Multi-Level Features with Matryoshka Sparse Autoencoderscited by 143
- 2025SAeUron: Interpretable Concept Unlearning in Diffusion Models with Sparse Autoencoderscited by 80
- 2025Sparse Autoencoders Learn Monosemantic Features in Vision-Language Modelscited by 71
- 2025Projecting Assumptions: The Duality Between Sparse Autoencoders and Concept Geometrycited by 61
- 2025Interpreting CLIP with Hierarchical Sparse Autoencoderscited by 60
- 2025From Flat to Hierarchical: Extracting Sparse Representations with Matching Pursuitcited by 49
- 2025Overcoming Sparsity Artifacts in Crosscoders to Interpret Chat-Tuningcited by 34
- 2025Interpreting the linear structure of vision-language model embedding spacescited by 32
- 2026Do Sparse Autoencoders Capture Concept Manifolds?cited by 31
- 2025What's In My Human Feedback? Learning Interpretable Descriptions of Preference Datacited by 26
- 2026Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behaviorcited by 26
- 2025Temporal Sparse Autoencoders: Leveraging the Sequential Nature of Language for Interpretabilitycited by 18
38 more
- 2025Feature Hedging: Correlated Features Break Narrow Sparse Autoencoderscited by 16
- 2025Position: Mechanistic Interpretability Should Prioritize Feature Consistency in SAEscited by 14
- 2025Sparse but Wrong: Incorrect L0 Leads to Incorrect Features in Sparse Autoencoderscited by 14
- 2026Sanity Checks for Sparse Autoencoders: Do SAEs Beat Random Baselines?cited by 14
- 2025Analyze Feature Flow to Enhance Interpretation and Steering in Language Modelscited by 13
- 2025I Predict Therefore I Am: Is Next Token Prediction Enough to Learn Human-Interpretable Concepts from Data?cited by 13
- 2025Understanding sparse autoencoder scaling in the presence of feature manifoldscited by 11
- 2026SynthSAEBench: Evaluating Sparse Autoencoders on Scalable Realistic Synthetic Datacited by 11
- 2026Cross-Modal Redundancy and the Geometry of Vision-Language Embeddingscited by 10
- 2025AbsTopK: Rethinking Sparse Autoencoders For Bidirectional Featurescited by 9
- 2025SAEdit: Token-level control for continuous image editing via Sparse AutoEncodercited by 9
- 2025Evaluating and Designing Sparse Autoencoders by Approximating Quasi-Orthogonalitycited by 8
- 2025OrtSAE: Orthogonal Sparse Autoencoders Uncover Atomic Featurescited by 8
- 2025Low-Rank Adapting Models for Sparse Autoencoderscited by 7
- 2025Watch the Weights: Unsupervised monitoring and control of fine-tuned LLMscited by 7
- 2025Superposition as Lossy Compression: Measure with Sparse Autoencoders and Connect to Adversarial Vulnerabilitycited by 7
- 2025Route Experts by Sequence, not by Tokencited by 6
- 2025Interpretable and Steerable Concept Bottleneck Sparse Autoencoderscited by 6
- 2026Tracing Moral Foundations in Large Language Modelscited by 6
- 2026From Atoms to Trees: Building a Structured Feature Forest with Hierarchical Sparse Autoencoderscited by 6
- 2025Neurons Speak in Ranges: Breaking Free from Discrete Neuronal Attributioncited by 5
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoderscited by 5
- 2025The Anatomy of Alignment: Decomposing Preference Optimization by Steering Sparse Featurescited by 5
- 2025Finding Manifolds With Bilinear Autoencoderscited by 5
- 2026Stable and Steerable Sparse Autoencoders with Weight Regularizationcited by 5
- 2026Structuring Sparsity: Block-Sparse Featurizers Capture Visual Concept Manifoldscited by 5
- 2025Person-Centric Annotations of LAION-400M: Auditing Bias and Its Transfer to Modelscited by 4
- 2025Rank-1 LoRAs Encode Interpretable Reasoning Signalscited by 4
- 2026Tree SAE: Learning Hierarchical Feature Structures in Sparse Autoencoderscited by 4
- 2026Are Sparse Autoencoder Benchmarks Reliable?cited by 4
- 2026Subspace-Aware Sparse Autoencoders for Effective Mechanistic Interpretabilitycited by 4
- 2026ICA Lens: Interpreting Language Models Without Training Another Dictionarycited by 4
- 2025Inference-Time Decomposition of Activations (ITDA): A Scalable Approach to Interpreting Large Language Modelscited by 3
- 2025Mechanistic Interpretability with Sparse Autoencoder Neural Operatorscited by 3
- 2025Binary Sparse Coding for Interpretabilitycited by 3
- 2025Sparse Autoencoders are Topic Modelscited by 3
- 2025A Geometric Unification of Concept Learning with Concept Conescited by 3
- 2026Towards Interpretable Hallucination Analysis and Mitigation in LVLMs via Contrastive Neuron Steeringcited by 3
50 most cited of 130 All 130 (JSON)
- 2026Sparse Feature Policy Unlearning Mitigates State Hallucination in Vision-Language-Action Models7 Oct 2026
- 2026Inference and learning in sparse autoencoders as natural gradient flow5 Oct 2026
- 2026ClasSAE: Class-Aligned Sparse Autoencoders via Differentiable Feature-Class Affinity2 Oct 2026
- 2026Active Budget Can Kill Sensitivity: Diagnosing and Repairing TopK Sparse Autoencoder Reliability29 Sep 2026
- 2026Weights Read and Write Features: Scalable Parameter Decomposition Grounded in Activation Space29 Sep 2026
- 2026When Trees Are Not Enough: Learning Mixed-Topology Feature Graphs with Adaptive Graph Sparse Autoencoders28 Sep 2026
- 2026Less Sycophancy, Stronger Refusal? Lessons for AI Safety from Mechanistic Interpretability28 Sep 2026
- 2026Beyond Token Scale: Chunk-Level Sparse Autoencoders for Reliable Semantic Feature Discovery28 Sep 2026
- 2026Interference Beyond Geometry in Concept Extraction28 Sep 2026
- 2026Understanding On-Policy Distillation: A Mechanistic Interpretability Perspective via Sparse Crosscoders28 Sep 2026
- 2026Verifying the Linear Representation Hypothesis: How Interpretable Are Vision SAEs?28 Sep 2026
- 2026Representational Simplicity and Circuit Size Dissociate in a Threshold-Dependent Way: A Controlled Test via Adversarial Training27 Sep 2026
38 more
- 2026Look Before You Steer: Geometry Predicts SAE Feature Steerability19 Sep 2026
- 2026"World Knowledge" in the Weights: Reading Concept Circuits of Vision Transformers8 Sep 2026
- 2026Medical AI Encodes a "Feeling of Error": Verifying Cancer Segmentation via Internal Concepts8 Sep 2026
- 2026Disentangling Steering Vectors7 Sep 2026
- 2026EraseSAE: Surgical Concept Erasure in Text-to-Video Diffusion Models via Sparse Autoencoders3 Sep 2026
- 2026Sparse Readout Prism: Explaining Logit-Lens Scores in Features Instead of Tokens1 Sep 2026
- 2026Finding and using interpretable latents in a neutrino foundation model with sparse autoencoders26 Aug 2026
- 2026A survey detection channel overrides the pixels in an astronomical foundation model, and biases tomographic mean redshifts23 Aug 2026
- 2026SCOUT: Semantic Concept Discovery for Open-Vocabulary Editing of face Recognition Templates17 Aug 2026
- 2026Where You Measure Decides What You Measure: Position Selection in Ablation-Based SAE Evaluation13 Aug 2026
- 2026Persistent Sparse Autoencoders: Learning Feature-Specific Timescales in Language Model Representations19 Jul 2026
- 2026From Geometric Recovery to Causal Validation: A Reproducible Audit of Sparse Autoencoder Features, from Superposition Geometry to Causal Inertness13 Jul 2026
- 2026When Structured Sparse Autoencoders Learn Consistent Concepts Across Modalities9 Jul 2026
- 2026Mechanistic Interpretability for Neural Networks: Circuits, Sparse Features and Symbolic Reasoning8 Jul 2026
- 2026TORINO: Token Reduction via Interpretable Concept Overlap in Vision-Language Models6 Jul 2026
- 2026Expander Sparse Autoencoders: Parameter-Efficient Dictionaries for Mechanistic Interpretability2 Jul 2026
- 2026Same Concept, Different Directions: Cross-Modal Feature Heterogeneity in Sparse Autoencoders29 Jun 2026
- 2026Turn-Averaged SAEs for Feature Discovery and Long-Context Attribution26 Jun 2026
- 2026PairSAE: Mechanistic Interpretability from Pair Representations in Protein Co-Folding25 Jun 2026
- 2026Structuring Sparsity: Block-Sparse Featurizers Capture Visual Concept Manifolds23 Jun 2026
- 2026What's in an Earth Embedding? An Explainability Analysis of Location Encoders23 Jun 2026
- 2026Evaluating the Interpretability of Sparse Autoencoders with Concept Annotations23 Jun 2026
- 2026Aligning Sentence Embeddings to Human Concepts via Sparse Autoencoders19 Jun 2026
- 2026Scalable Circuit Learning for Interpreting Large Language Models15 Jun 2026
- 2026Cascaded Sparse Autoencoders Learn Multi-Level Visual Concepts in Multimodal LLMs15 Jun 2026
- 2026Rational Sparse Autoencoder12 Jun 2026
- 2026Decompose Sparsely Where You Should, Absorb Densely Where You Should No12 Jun 2026
- 2026ICA Lens: Interpreting Language Models Without Training Another Dictionary10 Jun 2026
- 2026VFUSE: Virulent Feature Understanding with Sparse autoEncoders8 Jun 2026
- 2026A Unifying Framework for Concept-Based Representational Similarity8 Jun 2026
- 2026Inside the Visual Mind: Neuroscience-Motivated Concept Circuits for Interpreting and Steering Vision Transformers4 Jun 2026
- 2026Subspace-Aware Sparse Autoencoders for Effective Mechanistic Interpretability4 Jun 2026
- 2026How Optimality Structures Sparse Dictionaries: Theory for Interpreting SAE Representations1 Jun 2026
- 2026Interpretability Without Tradeoffs: Disentangling Polysemanticity At Equal Predictive Performance29 May 2026
- 2026No More K-means: Single-Stage Sparse Coding for Efficient Multi-Vector Retrieval28 May 2026
- 2026Semantic Optimal Transport for Sparse Autoencoder Feature Matching and Circuit Compression27 May 2026
- 2026Sign-Aware Gated Sparse Autoencoders: Modeling Anticorrelated Features with Bi-Jump-ReLU Activations27 May 2026
- 2026Conceptualizing Embeddings: Sparse Disentanglement for Vision-Language Models21 May 2026
50 newest of 130 All 130 (JSON)
- 2025Learning Multi-Level Features with Matryoshka Sparse Autoencoderscited by 143
- 2025Projecting Assumptions: The Duality Between Sparse Autoencoders and Concept Geometrycited by 61
- 2025Interpreting CLIP with Hierarchical Sparse Autoencoderscited by 60
- 2025From Flat to Hierarchical: Extracting Sparse Representations with Matching Pursuitcited by 49
- 2026Do Sparse Autoencoders Capture Concept Manifolds?cited by 31
- 2025Temporal Sparse Autoencoders: Leveraging the Sequential Nature of Language for Interpretabilitycited by 18
- 2025Feature Hedging: Correlated Features Break Narrow Sparse Autoencoderscited by 16
- 2025Position: Mechanistic Interpretability Should Prioritize Feature Consistency in SAEscited by 14
- 2025Sparse but Wrong: Incorrect L0 Leads to Incorrect Features in Sparse Autoencoderscited by 14
- 2026Sanity Checks for Sparse Autoencoders: Do SAEs Beat Random Baselines?cited by 14
- 2025Analyze Feature Flow to Enhance Interpretation and Steering in Language Modelscited by 13
- 2025Understanding sparse autoencoder scaling in the presence of feature manifoldscited by 11
12 most cited of 73 All 73 (JSON)
- 2026Inference and learning in sparse autoencoders as natural gradient flow5 Oct 2026
- 2026ClasSAE: Class-Aligned Sparse Autoencoders via Differentiable Feature-Class Affinity2 Oct 2026
- 2026Active Budget Can Kill Sensitivity: Diagnosing and Repairing TopK Sparse Autoencoder Reliability29 Sep 2026
- 2026When Trees Are Not Enough: Learning Mixed-Topology Feature Graphs with Adaptive Graph Sparse Autoencoders28 Sep 2026
- 2026Beyond Token Scale: Chunk-Level Sparse Autoencoders for Reliable Semantic Feature Discovery28 Sep 2026
- 2026Verifying the Linear Representation Hypothesis: How Interpretable Are Vision SAEs?28 Sep 2026
- 2026Representational Simplicity and Circuit Size Dissociate in a Threshold-Dependent Way: A Controlled Test via Adversarial Training27 Sep 2026
- 2026Look Before You Steer: Geometry Predicts SAE Feature Steerability19 Sep 2026
- 2026"World Knowledge" in the Weights: Reading Concept Circuits of Vision Transformers8 Sep 2026
- 2026Medical AI Encodes a "Feeling of Error": Verifying Cancer Segmentation via Internal Concepts8 Sep 2026
- 2026Disentangling Steering Vectors7 Sep 2026
- 2026Finding and using interpretable latents in a neutrino foundation model with sparse autoencoders26 Aug 2026
12 newest of 73 All 73 (JSON)
- 2025Sparse Autoencoders Learn Monosemantic Features in Vision-Language Modelscited by 71
- 2025Interpreting the linear structure of vision-language model embedding spacescited by 32
- 2026Cross-Modal Redundancy and the Geometry of Vision-Language Embeddingscited by 10
- 2025Person-Centric Annotations of LAION-400M: Auditing Bias and Its Transfer to Modelscited by 4
- 2025Insights into a radiology-specialised multimodal large language model with sparse autoencoderscited by 2
- 2026Evaluating the Interpretability of Sparse Autoencoders with Concept Annotationscited by 2
- 2026VisualScratchpad: Inference-time Visual Concepts Analysis in Vision Language Modelscited by 1
- 2026Cascaded Sparse Autoencoders Learn Multi-Level Visual Concepts in Multimodal LLMscited by 1
- 2026Conceptualizing Embeddings: Sparse Disentanglement for Vision-Language Modelscited by 0
- 2026Same Concept, Different Directions: Cross-Modal Feature Heterogeneity in Sparse Autoencoderscited by 0
- 2026TORINO: Token Reduction via Interpretable Concept Overlap in Vision-Language Modelscited by 0
- 2026Sparse Feature Policy Unlearning Mitigates State Hallucination in Vision-Language-Action Modelscited by 0
- 2026Sparse Feature Policy Unlearning Mitigates State Hallucination in Vision-Language-Action Models7 Oct 2026
- 2026TORINO: Token Reduction via Interpretable Concept Overlap in Vision-Language Models6 Jul 2026
- 2026Same Concept, Different Directions: Cross-Modal Feature Heterogeneity in Sparse Autoencoders29 Jun 2026
- 2026Evaluating the Interpretability of Sparse Autoencoders with Concept Annotations23 Jun 2026
- 2026Cascaded Sparse Autoencoders Learn Multi-Level Visual Concepts in Multimodal LLMs15 Jun 2026
- 2026Conceptualizing Embeddings: Sparse Disentanglement for Vision-Language Models21 May 2026
- 2026VisualScratchpad: Inference-time Visual Concepts Analysis in Vision Language Models7 Mar 2026
- 2026Cross-Modal Redundancy and the Geometry of Vision-Language Embeddings5 Feb 2026
- 2025Person-Centric Annotations of LAION-400M: Auditing Bias and Its Transfer to Models4 Oct 2025
- 2025Insights into a radiology-specialised multimodal large language model with sparse autoencoders17 Jul 2025
- 2025Interpreting the linear structure of vision-language model embedding spaces16 Apr 2025
- 2025Sparse Autoencoders Learn Monosemantic Features in Vision-Language Models3 Apr 2025
- 2025SAeUron: Interpretable Concept Unlearning in Diffusion Models with Sparse Autoencoderscited by 80
- 2025SAEdit: Token-level control for continuous image editing via Sparse AutoEncodercited by 9
- 2026ELROND: Exploring and decomposing intrinsic capabilities of diffusion modelscited by 2
- 2026Disentangled Sparse Representations for Concept-Separated Diffusion Unlearningcited by 2
- 2026EraseSAE: Surgical Concept Erasure in Text-to-Video Diffusion Models via Sparse Autoencoderscited by 0
- 2026EraseSAE: Surgical Concept Erasure in Text-to-Video Diffusion Models via Sparse Autoencoders3 Sep 2026
- 2026Disentangled Sparse Representations for Concept-Separated Diffusion Unlearning12 May 2026
- 2026ELROND: Exploring and decomposing intrinsic capabilities of diffusion models10 Feb 2026
- 2025SAEdit: Token-level control for continuous image editing via Sparse AutoEncoder6 Oct 2025
- 2025SAeUron: Interpretable Concept Unlearning in Diffusion Models with Sparse Autoencoders29 Jan 2025
- 2025AbsTopK: Rethinking Sparse Autoencoders For Bidirectional Featurescited by 9
- 2025Rank-1 LoRAs Encode Interpretable Reasoning Signalscited by 4
- 2026Mechanistic Interpretability for Neural Networks: Circuits, Sparse Features and Symbolic Reasoningcited by 1
- 2026Understanding On-Policy Distillation: A Mechanistic Interpretability Perspective via Sparse Crosscoderscited by 1
- 2025NovoMolGen: Rethinking Molecular Language Model Pretrainingcited by 0
- 2026Understanding On-Policy Distillation: A Mechanistic Interpretability Perspective via Sparse Crosscoders28 Sep 2026
- 2026Mechanistic Interpretability for Neural Networks: Circuits, Sparse Features and Symbolic Reasoning8 Jul 2026
- 2025Rank-1 LoRAs Encode Interpretable Reasoning Signals10 Nov 2025
- 2025AbsTopK: Rethinking Sparse Autoencoders For Bidirectional Features1 Oct 2025
- 2025NovoMolGen: Rethinking Molecular Language Model Pretraining19 Aug 2025
- 2025Route Experts by Sequence, not by Tokencited by 6
- 2025Secret mixtures of experts inside your LLMcited by 2
- 2025Secret mixtures of experts inside your LLM20 Dec 2025
- 2025Route Experts by Sequence, not by Token9 Nov 2025
- 2025Overcoming Sparsity Artifacts in Crosscoders to Interpret Chat-Tuningcited by 34
- 2026Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behaviorcited by 26
- 2025I Predict Therefore I Am: Is Next Token Prediction Enough to Learn Human-Interpretable Concepts from Data?cited by 13
- 2025Neurons Speak in Ranges: Breaking Free from Discrete Neuronal Attributioncited by 5
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoderscited by 5
- 2026Structuring Sparsity: Block-Sparse Featurizers Capture Visual Concept Manifoldscited by 5
- 2026ICA Lens: Interpreting Language Models Without Training Another Dictionarycited by 4
- 2025Sparse Autoencoders are Topic Modelscited by 3
- 2026Hierarchical Concept-based Interpretable Modelscited by 3
- 2026Correcting Influence: Unboxing LLM Outputs with Orthogonal Latent Spacescited by 1
- 2026No More K-means: Single-Stage Sparse Coding for Efficient Multi-Vector Retrievalcited by 1
- 2026A Unifying Framework for Concept-Based Representational Similaritycited by 1
12 most cited of 25 All 25 (JSON)
- 2026Weights Read and Write Features: Scalable Parameter Decomposition Grounded in Activation Space29 Sep 2026
- 2026Interference Beyond Geometry in Concept Extraction28 Sep 2026
- 2026Sparse Readout Prism: Explaining Logit-Lens Scores in Features Instead of Tokens1 Sep 2026
- 2026A survey detection channel overrides the pixels in an astronomical foundation model, and biases tomographic mean redshifts23 Aug 2026
- 2026SCOUT: Semantic Concept Discovery for Open-Vocabulary Editing of face Recognition Templates17 Aug 2026
- 2026Structuring Sparsity: Block-Sparse Featurizers Capture Visual Concept Manifolds23 Jun 2026
- 2026What's in an Earth Embedding? An Explainability Analysis of Location Encoders23 Jun 2026
- 2026ICA Lens: Interpreting Language Models Without Training Another Dictionary10 Jun 2026
- 2026A Unifying Framework for Concept-Based Representational Similarity8 Jun 2026
- 2026Interpretability Without Tradeoffs: Disentangling Polysemanticity At Equal Predictive Performance29 May 2026
- 2026No More K-means: Single-Stage Sparse Coding for Efficient Multi-Vector Retrieval28 May 2026
- 2026Correcting Influence: Unboxing LLM Outputs with Orthogonal Latent Spaces12 May 2026
12 newest of 25 All 25 (JSON)
Similar, not cited
Close in wording, no citation either way
- 2025Distribution-Aware Feature Selection for SAEs
- 2025TopK Language Models
- 2025Sparse Autoencoders Trained on the Same Data Learn Different Features
- 2026Discovering Millions of Interpretable Features with Sparse Autoencoders
- 2025Revisiting End-To-End Sparse Autoencoder Training: A Short Finetune Is All You Need
- 2025SAEBench: A Comprehensive Benchmark for Sparse Autoencoders in Language Model Interpretability
- 2026Diminishing Returns of Data in Sparse Autoencoders: Functional Behavior does not Guarantee Feature Reproducibility
- 2025Train One Sparse Autoencoder Across Multiple Sparsity Budgets to Preserve Interpretability and Accuracy