Spectral Filters, Dark Signals, and Attention Sinks
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Abstract (arXiv)
Projecting intermediate representations onto the vocabulary is an increasingly popular interpretation tool for transformer-based LLMs, also known as the logit lens. We propose a quantitative extension to this approach and define spectral filters on intermediate representations based on partitioning the singular vectors of the vocabulary embedding and unembedding matrices into bands. We find that the signals exchanged in the tail end of the spectrum are responsible for attention sinking (Xiao et al. 2023), of which we provide an explanation. We find that the loss of pretrained models can be kept low despite suppressing sizable parts of the embedding spectrum in a layer-dependent way, as long as attention sinking is preserved. Finally, we discover that the representation of tokens that draw attention from many tokens have large projections on the tail end of the spectrum.
Key facts. Cited by 54 papers in the map (data through 7 Oct 2026). Builds on 23 of its 35 references that are in the map. First posted on arXiv 14 Feb 2024.
Builds on
23 of 35 references.
References · 23
- 2017Attention Is All You Needcited by 59,932
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
- 2021RoFormer: Enhanced Transformer with Rotary Position Embeddingcited by 4,581
- 2022Locating and Editing Factual Associations in GPTcited by 2,609
- 2023Efficient Streaming Language Models with Attention Sinkscited by 2,115
- 2020GLU Variants Improve Transformercited by 1,724
- 2022Competition-Level Code Generation with AlphaCodecited by 1,427
- 2019Root Mean Square Layer Normalizationcited by 1,425
- 2023Sparse Autoencoders Find Highly Interpretable Features in Language Modelscited by 1,359
- 2020Transformer Feed-Forward Layers Are Key-Value Memoriescited by 1,307
- 2022In-context Learning and Induction Headscited by 930
- 2022Toy Models of Superpositioncited by 928
11 more
- 2019Analyzing Multi-Head Self-Attention: Specialized Heads Do the Heavy Lifting, the Rest Can Be Prunedcited by 844
- 2023Eliciting Latent Predictions from Transformers with the Tuned Lenscited by 579
- 2019CCNet: Extracting High Quality Monolingual Datasets from Web Crawl Datacited by 544
- 2022Transformer Feed-Forward Layers Build Predictions by Promoting Concepts in the Vocabulary Spacecited by 522
- 2023Function Vectors in Large Language Modelscited by 292
- 2020Information-Theoretic Probing with Minimum Description Lengthcited by 230
- 2020Information-Theoretic Probing for Linguistic Structurecited by 204
- 2022Analyzing Transformers in Embedding Spacecited by 131
- 2023The Truth is in There: Improving Reasoning in Language Models with Layer-Selective Rank Reductioncited by 120
- 2023Jump to Conclusions: Short-Cutting Transformers With Linear Transformationscited by 89
- 2023Neurons in Large Language Models: Dead, N-gram, Positionalcited by 88
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Citing papers per year: 2024: 13; 2025: 18; 2026: 23.
54 papers.
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- 2024LayerSkip: Enabling Early Exit Inference and Self-Speculative Decodingcited by 302
- 2024Do Llamas Work in English? On the Latent Language of Multilingual Transformerscited by 275
- 2024When Attention Sink Emerges in Language Models: An Empirical Viewcited by 200
- 2025See What You Are Told: Visual Attention Sink in Large Multimodal Modelscited by 127
- 2025Why do LLMs attend to the first token?cited by 122
- 2024A Practical Review of Mechanistic Interpretability for Transformer-Based Language Modelscited by 113
- 2024Information Flow Routes: Automatically Interpreting Language Models at Scalecited by 92
- 2024A Simple and Effective L2 Norm-Based Strategy for KV Cache Compressioncited by 84
- 2024A Primer on the Inner Workings of Transformer-based Language Modelscited by 83
- 2024Confidence Regulation Neurons in Language Modelscited by 57
- 2025Attention Sinks and Compression Valleys in LLMs are Two Sides of the Same Coincited by 47
- 2025Mitigating Overthinking in Large Reasoning Models via Manifold Steeringcited by 32
38 more
- 2025Multimodal Chain of Continuous Thought for Latent-Space Reasoning in Vision-Language Modelscited by 29
- 2025What are you sinking? A geometric approach on attention sinkcited by 26
- 2026Locate, Steer, and Improve: A Practical Survey of Actionable Mechanistic Interpretability in Large Language Modelscited by 22
- 2025To Sink or Not to Sink: Visual Information Pathways in Large Vision-Language Modelscited by 18
- 2025Attention Sinks in Diffusion Language Modelscited by 18
- 2025Transferring Linear Features Across Language Models With Model Stitchingcited by 17
- 2025Dense SAE Latents Are Features, Not Bugscited by 17
- 2026Attention Sinks Are Provably Necessary in Softmax Transformers: Evidence from Trigger-Conditional Taskscited by 10
- 2024More Expressive Attention with Negative Weightscited by 9
- 2025Mitigating Attention Sinks and Massive Activations in Audio-Visual Speech Recognition with LLMscited by 9
- 2025Calibration Across Layers: Understanding Calibration Evolution in LLMscited by 9
- 2025OrthoRank: Token Selection via Sink Token Orthogonality for Efficient LLM inferencecited by 8
- 2025Don't Deceive Me: Mitigating Gaslighting through Attention Reallocation in LMMscited by 6
- 2024Frame Representation Hypothesis: Multi-Token LLM Interpretability and Concept-Guided Text Generationcited by 5
- 2025All for One: LLMs Solve Mental Math at the Last Token With Information Transferred From Other Tokenscited by 5
- 2026Why Attention Patterns Exist: A Unifying Temporal Perspective Analysiscited by 4
- 2024AERO: Entropy-Guided Framework for Private LLM Inferencecited by 3
- 2025Not a nuisance but a useful heuristic: Outlier dimensions favor frequent tokens in language modelscited by 3
- 2025On the Existence and Behavior of Secondary Attention Sinkscited by 3
- 2026Surgery: Mitigating Harmful Fine-Tuning for Large Language Models via Attention Sinkcited by 3
- 2026OccamToken: Efficient VLM Inference with Training-Free and Budget-Adaptive Token Pruningcited by 3
- 2024Investigating the translation capabilities of Large Language Models trained on parallel data onlycited by 2
- 2026When Sinks Help or Hurt: Unified Framework for Attention Sink in Large Vision-Language Modelscited by 2
- 2026A Single Layer to Explain Them All:Understanding Massive Activations in Large Language Modelscited by 2
- 2026Scale Determines Whether Language Models Organize Representation Geometry for Predictioncited by 2
- 2026Massive Spikes in LLMs are Bias Vectors: Mechanistic Uncovering and Spike-Free Quantizationcited by 2
- 2024Enhanced Structured State Space Models via Grouped FIR Filtering and Attention Sink Mechanismscited by 1
- 2026Geometric Analysis of Token Selection in Multi-Head Attentioncited by 1
- 2026SinkTrack: Attention Sink based Context Anchoring for Large Language Modelscited by 1
- 2026Contrastive Attribution in the Wild: An Interpretability Analysis of LLM Failures on Realistic Benchmarkscited by 1
- 2026Your UnEmbedding Matrix is Secretly a Feature Lens for Text Embeddingscited by 1
- 2026Why Does Post-Training Quantization Work?cited by 1
- 2025Sensitivity Meets Sparsity: The Impact of Extremely Sparse Parameter Patterns on Theory-of-Mind of Large Language Modelscited by 0
- 2026A Mechanistic Account of Attention Sinks in GPT-2: One Circuit, Broader Implications for Mitigationcited by 0
- 2026The Structural Origin of Attention Sink: Variance Discrepancy, Super Neurons, and Dimension Disparitycited by 0
- 2026A Circuit, Not The Circuit: Non-Unique Causal Localisation of the Mamba-2 State Sinkcited by 0
- 2026Contribution Weights: A Geometrical Analysis of Self-Attention Transformerscited by 0
- 2026A Unifying View of Attention Sinks: From Mechanisms to Architectural Interventionscited by 0
50 most cited of 54 All 54 (JSON)
- 2026Which the Eye Fears: Writing with Read-Blindness Explains Massive Activations in Transformers28 Sep 2026
- 2026Why Does Post-Training Quantization Work?10 Sep 2026
- 2026Latent Ordinal Evidence, Misaligned Outputs: Inference-Time Ordinal Lens Alignment for Multimodal LLMs21 Aug 2026
- 2026Disentangling Semantic Attention from Structural Bias in the Attention Manifold27 Jul 2026
- 2026Decompose Sparsely Where You Should, Absorb Densely Where You Should No12 Jun 2026
- 2026A Unifying View of Attention Sinks: From Mechanisms to Architectural Interventions6 Jun 2026
- 2026Your UnEmbedding Matrix is Secretly a Feature Lens for Text Embeddings5 Jun 2026
- 2026Massive Spikes in LLMs are Bias Vectors: Mechanistic Uncovering and Spike-Free Quantization1 Jun 2026
- 2026A Circuit, Not The Circuit: Non-Unique Causal Localisation of the Mamba-2 State Sink30 May 2026
- 2026Contribution Weights: A Geometrical Analysis of Self-Attention Transformers29 May 2026
- 2026OccamToken: Efficient VLM Inference with Training-Free and Budget-Adaptive Token Pruning28 May 2026
- 2026Scale Determines Whether Language Models Organize Representation Geometry for Prediction16 May 2026
38 more
- 2026A Single Layer to Explain Them All:Understanding Massive Activations in Large Language Models8 May 2026
- 2026The Structural Origin of Attention Sink: Variance Discrepancy, Super Neurons, and Dimension Disparity7 May 2026
- 2026Contrastive Attribution in the Wild: An Interpretability Analysis of LLM Failures on Realistic Benchmarks20 Apr 2026
- 2026A Mechanistic Account of Attention Sinks in GPT-2: One Circuit, Broader Implications for Mitigation16 Apr 2026
- 2026SinkTrack: Attention Sink based Context Anchoring for Large Language Models11 Apr 2026
- 2026When Sinks Help or Hurt: Unified Framework for Attention Sink in Large Vision-Language Models1 Apr 2026
- 2026Attention Sinks Are Provably Necessary in Softmax Transformers: Evidence from Trigger-Conditional Tasks12 Mar 2026
- 2026Surgery: Mitigating Harmful Fine-Tuning for Large Language Models via Attention Sink5 Feb 2026
- 2026Geometric Analysis of Token Selection in Multi-Head Attention2 Feb 2026
- 2026Why Attention Patterns Exist: A Unifying Temporal Perspective Analysis29 Jan 2026
- 2026Locate, Steer, and Improve: A Practical Survey of Actionable Mechanistic Interpretability in Large Language Models20 Jan 2026
- 2025On the Existence and Behavior of Secondary Attention Sinks22 Dec 2025
- 2025Calibration Across Layers: Understanding Calibration Evolution in LLMs31 Oct 2025
- 2025Mitigating Attention Sinks and Massive Activations in Audio-Visual Speech Recognition with LLMs26 Oct 2025
- 2025Attention Sinks in Diffusion Language Models17 Oct 2025
- 2025To Sink or Not to Sink: Visual Information Pathways in Large Vision-Language Models9 Oct 2025
- 2025Attention Sinks and Compression Valleys in LLMs are Two Sides of the Same Coin7 Oct 2025
- 2025All for One: LLMs Solve Mental Math at the Last Token With Information Transferred From Other Tokens11 Sep 2025
- 2025Multimodal Chain of Continuous Thought for Latent-Space Reasoning in Vision-Language Models18 Aug 2025
- 2025What are you sinking? A geometric approach on attention sink4 Aug 2025
- 2025OrthoRank: Token Selection via Sink Token Orthogonality for Efficient LLM inference5 Jul 2025
- 2025Dense SAE Latents Are Features, Not Bugs18 Jun 2025
- 2025Transferring Linear Features Across Language Models With Model Stitching7 Jun 2025
- 2025Mitigating Overthinking in Large Reasoning Models via Manifold Steering28 May 2025
- 2025Don't Deceive Me: Mitigating Gaslighting through Attention Reallocation in LMMs13 Apr 2025
- 2025Sensitivity Meets Sparsity: The Impact of Extremely Sparse Parameter Patterns on Theory-of-Mind of Large Language Models5 Apr 2025
- 2025Why do LLMs attend to the first token?3 Apr 2025
- 2025Not a nuisance but a useful heuristic: Outlier dimensions favor frequent tokens in language models27 Mar 2025
- 2025See What You Are Told: Visual Attention Sink in Large Multimodal Models5 Mar 2025
- 2024Frame Representation Hypothesis: Multi-Token LLM Interpretability and Concept-Guided Text Generation10 Dec 2024
- 2024More Expressive Attention with Negative Weights11 Nov 2024
- 2024AERO: Entropy-Guided Framework for Private LLM Inference16 Oct 2024
- 2024When Attention Sink Emerges in Language Models: An Empirical View14 Oct 2024
- 2024Enhanced Structured State Space Models via Grouped FIR Filtering and Attention Sink Mechanisms1 Aug 2024
- 2024A Practical Review of Mechanistic Interpretability for Transformer-Based Language Models2 Jul 2024
- 2024Confidence Regulation Neurons in Language Models24 Jun 2024
- 2024A Simple and Effective L2 Norm-Based Strategy for KV Cache Compression17 Jun 2024
- 2024Investigating the translation capabilities of Large Language Models trained on parallel data only13 Jun 2024
50 newest of 54 All 54 (JSON)
- 2025See What You Are Told: Visual Attention Sink in Large Multimodal Modelscited by 127
- 2025To Sink or Not to Sink: Visual Information Pathways in Large Vision-Language Modelscited by 18
- 2025Don't Deceive Me: Mitigating Gaslighting through Attention Reallocation in LMMscited by 6
- 2026OccamToken: Efficient VLM Inference with Training-Free and Budget-Adaptive Token Pruningcited by 3
- 2026When Sinks Help or Hurt: Unified Framework for Attention Sink in Large Vision-Language Modelscited by 2
- 2026Disentangling Semantic Attention from Structural Bias in the Attention Manifoldcited by 0
- 2026Latent Ordinal Evidence, Misaligned Outputs: Inference-Time Ordinal Lens Alignment for Multimodal LLMscited by 0
- 2026Latent Ordinal Evidence, Misaligned Outputs: Inference-Time Ordinal Lens Alignment for Multimodal LLMs21 Aug 2026
- 2026Disentangling Semantic Attention from Structural Bias in the Attention Manifold27 Jul 2026
- 2026OccamToken: Efficient VLM Inference with Training-Free and Budget-Adaptive Token Pruning28 May 2026
- 2026When Sinks Help or Hurt: Unified Framework for Attention Sink in Large Vision-Language Models1 Apr 2026
- 2025To Sink or Not to Sink: Visual Information Pathways in Large Vision-Language Models9 Oct 2025
- 2025Don't Deceive Me: Mitigating Gaslighting through Attention Reallocation in LMMs13 Apr 2025
- 2025See What You Are Told: Visual Attention Sink in Large Multimodal Models5 Mar 2025
- 2024LayerSkip: Enabling Early Exit Inference and Self-Speculative Decodingcited by 302
- 2024When Attention Sink Emerges in Language Models: An Empirical Viewcited by 200
- 2024A Simple and Effective L2 Norm-Based Strategy for KV Cache Compressioncited by 84
- 2025OrthoRank: Token Selection via Sink Token Orthogonality for Efficient LLM inferencecited by 8
- 2026Why Attention Patterns Exist: A Unifying Temporal Perspective Analysiscited by 4
- 2026Why Attention Patterns Exist: A Unifying Temporal Perspective Analysis29 Jan 2026
- 2025OrthoRank: Token Selection via Sink Token Orthogonality for Efficient LLM inference5 Jul 2025
- 2024When Attention Sink Emerges in Language Models: An Empirical View14 Oct 2024
- 2024A Simple and Effective L2 Norm-Based Strategy for KV Cache Compression17 Jun 2024
- 2024LayerSkip: Enabling Early Exit Inference and Self-Speculative Decoding25 Apr 2024
- 2025Attention Sinks in Diffusion Language Modelscited by 18
- 2025Attention Sinks in Diffusion Language Models17 Oct 2025
- 2024Do Llamas Work in English? On the Latent Language of Multilingual Transformerscited by 275
- 2025Why do LLMs attend to the first token?cited by 122
- 2024A Practical Review of Mechanistic Interpretability for Transformer-Based Language Modelscited by 113
- 2024Information Flow Routes: Automatically Interpreting Language Models at Scalecited by 92
- 2024A Primer on the Inner Workings of Transformer-based Language Modelscited by 83
- 2024Confidence Regulation Neurons in Language Modelscited by 57
- 2025Attention Sinks and Compression Valleys in LLMs are Two Sides of the Same Coincited by 47
- 2025What are you sinking? A geometric approach on attention sinkcited by 26
- 2026Locate, Steer, and Improve: A Practical Survey of Actionable Mechanistic Interpretability in Large Language Modelscited by 22
- 2025Transferring Linear Features Across Language Models With Model Stitchingcited by 17
- 2025Dense SAE Latents Are Features, Not Bugscited by 17
- 2026Attention Sinks Are Provably Necessary in Softmax Transformers: Evidence from Trigger-Conditional Taskscited by 10
12 most cited of 36 All 36 (JSON)
- 2026Which the Eye Fears: Writing with Read-Blindness Explains Massive Activations in Transformers28 Sep 2026
- 2026Why Does Post-Training Quantization Work?10 Sep 2026
- 2026Decompose Sparsely Where You Should, Absorb Densely Where You Should No12 Jun 2026
- 2026A Unifying View of Attention Sinks: From Mechanisms to Architectural Interventions6 Jun 2026
- 2026Your UnEmbedding Matrix is Secretly a Feature Lens for Text Embeddings5 Jun 2026
- 2026Massive Spikes in LLMs are Bias Vectors: Mechanistic Uncovering and Spike-Free Quantization1 Jun 2026
- 2026Contribution Weights: A Geometrical Analysis of Self-Attention Transformers29 May 2026
- 2026Scale Determines Whether Language Models Organize Representation Geometry for Prediction16 May 2026
- 2026A Single Layer to Explain Them All:Understanding Massive Activations in Large Language Models8 May 2026
- 2026The Structural Origin of Attention Sink: Variance Discrepancy, Super Neurons, and Dimension Disparity7 May 2026
- 2026Contrastive Attribution in the Wild: An Interpretability Analysis of LLM Failures on Realistic Benchmarks20 Apr 2026
- 2026A Mechanistic Account of Attention Sinks in GPT-2: One Circuit, Broader Implications for Mitigation16 Apr 2026
12 newest of 36 All 36 (JSON)