Adaptively Sparse Transformers
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Abstract (arXiv)
Attention mechanisms have become ubiquitous in NLP. Recent architectures, notably the Transformer, learn powerful context-aware word representations through layered, multi-headed attention. The multiple heads learn diverse types of word relationships. However, with standard softmax attention, all attention heads are dense, assigning a non-zero weight to all context words. In this work, we introduce the adaptively sparse Transformer, wherein attention heads have flexible, context-dependent sparsity patterns. This sparsity is accomplished by replacing softmax with α-entmax: a differentiable generalization of softmax that allows low-scoring words to receive precisely zero weight. Moreover, we derive a method to automatically learn the α parameter -- which controls the shape and sparsity of α-entmax -- allowing attention heads to choose between focused or spread-out behavior. Our adaptively sparse Transformer improves interpretability and head diversity when compared to softmax Transformers on machine translation datasets. Findings of the quantitative and qualitative analysis of our approach include that heads in different layers learn different sparsity preferences and tend to be more diverse in their attention distributions than softmax Transformers. Furthermore, at no cost in accuracy, sparsity in attention heads helps to uncover different head specializations.
Key facts. Cited by 155 papers in the map (data through 14 Oct 2026). First posted on arXiv 30 Aug 2019.
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Citing papers per year: 2021: 32; 2022: 24; 2023: 16; 2024: 32; 2025: 27; 2026: 24.
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- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,073
- 2023Sparse Autoencoders Find Highly Interpretable Features in Language Modelscited by 1,420
- 2021Perceiver: General Perception with Iterative Attentioncited by 1,104
- 2021BASE Layers: Simplifying Training of Large, Sparse Modelscited by 320
- 2022Transformers in Medical Imaging: A Surveycited by 245
- 2021Mind the Gap: Assessing Temporal Generalization in Neural Language Modelscited by 230
- 2023Learning A Sparse Transformer Network for Effective Image Derainingcited by 205
- 2024The Remarkable Robustness of LLMs: Stages of Inference?cited by 146
- 2021DSelect-k: Differentiable Selection in the Mixture of Experts with Applications to Multi-Task Learningcited by 115
- 2022Unveiling Transformers with LEGO: a synthetic reasoning taskcited by 106
- 2023Towards Efficient Generative Large Language Model Serving: A Survey from Algorithms to Systemscited by 102
- 2024Information Flow Routes: Automatically Interpreting Language Models at Scalecited by 95
38 more
- 2021Do Long-Range Language Models Actually Use Long-Range Context?cited by 92
- 2023Neurons in Large Language Models: Dead, N-gram, Positionalcited by 88
- 2022Efficient Methods for Natural Language Processing: A Surveycited by 78
- 2021A Practical Survey on Faster and Lighter Transformerscited by 73
- 2024Attention Heads of Large Language Models: A Surveycited by 67
- 2021KVT: k-NN Attention for Boosting Vision Transformerscited by 65
- 2023Align and Attend: Multimodal Summarization with Dual Contrastive Lossescited by 65
- 2024Model Compression and Efficient Inference for Large Language Models: A Surveycited by 64
- 2021A Survey on Green Deep Learningcited by 52
- 2024From Tokens to Words: On the Inner Lexicon of LLMscited by 48
- 2023On Sparse Modern Hopfield Modelcited by 42
- 2021Sparse Attention with Linear Unitscited by 41
- 2021FLAT: An Optimized Dataflow for Mitigating Attention Bottleneckscited by 39
- 2024Uniform Memory Retrieval with Larger Capacity for Modern Hopfield Modelscited by 38
- 2024Large Language Model Inference Acceleration: A Comprehensive Hardware Perspectivecited by 38
- 2021Order in the Court: Explainable AI Methods Prone to Disagreementcited by 36
- 2023STanHop: Sparse Tandem Hopfield Model for Memory-Enhanced Time Series Predictioncited by 35
- 2022SIMPLE: A Gradient Estimator for k-Subset Samplingcited by 34
- 2021Not All Memories are Created Equal: Learning to Forget by Expiringcited by 32
- 2021Neural Collaborative Graph Machines for Table Structure Recognitioncited by 30
- 2024Recent Advances in Generative AI and Large Language Models: Current Status, Challenges, and Perspectivescited by 30
- 2022Attention Mechanism in Neural Networks: Where it Comes and Where it Goescited by 29
- 2022ViTALiTy: Unifying Low-rank and Sparse Approximation for Vision Transformer Acceleration with a Linear Taylor Attentioncited by 29
- 2025Beyond Matryoshka: Revisiting Sparse Coding for Adaptive Representationcited by 26
- 2022Simplicial Embeddings in Self-Supervised Learning and Downstream Classificationcited by 24
- 2025The Dual-Route Model of Inductioncited by 24
- 2021SpecTr: Spectral Transformer for Hyperspectral Pathology Image Segmentationcited by 23
- 2024BiSHop: Bi-Directional Cellular Learning for Tabular Data with Generalized Sparse Modern Hopfield Modelcited by 21
- 2025Long-Context Generalization with Sparse Attentioncited by 21
- 2024When Large Language Models Meet Evolutionary Algorithms: Potential Enhancements and Challengescited by 20
- 2023From Latent Graph to Latent Topology Inference: Differentiable Cell Complex Modulecited by 19
- 2025A Comprehensive Survey on Self-Interpretable Neural Networkscited by 18
- 2023Transformers in Healthcare: A Surveycited by 17
- 2024Attention layers provably solve single-location regressioncited by 17
- 2023Exploiting Activation Sparsity with Dense to Dynamic-k Mixture-of-Experts Conversioncited by 16
- 2024Nonparametric Modern Hopfield Modelscited by 16
- 2024LM Transparency Tool: Interactive Tool for Analyzing Transformer Language Modelscited by 16
- 2021The heads hypothesis: A unifying statistical approach towards understanding multi-headed attention in BERTcited by 15
50 most cited of 155 All 155 (JSON)
- 2026Underscoring the Problem: Why Softpick Fails at Initialization4 Oct 2026
- 2026Prescriptive SVD-Inspired Attention via Spectral Energy Retention21 Sep 2026
- 2026When Does Context Routing Help? A Systematic Study of Multi-Modal Fusion in Time Series Forecasting25 Aug 2026
- 2026VisAdj: Learning Adjacency Matrices from Node-Link Images22 Aug 2026
- 2026TileMix: Tile-Centric Mixed-Precision Attention for LLM Inference Acceleration18 Aug 2026
- 2026A Quantum Roadmap for Softmax Attention: Exact Born-Rule Analogs for Softmax Attention on the Probability Simplex11 Aug 2026
- 2026When Should Graph Attention Be Sparse? Learning a Per-Edge Tsallis Index3 Aug 2026
- 2026Perspectives on Tsallis Statistics for Artificial Intelligence2 Aug 2026
- 2026Thresholded Cross-Attention for Reliable Intensity-Chromaticity Fusion in Low-Light Image Enhancement15 Jul 2026
- 2026Sparse Attention for Dense Open-Vocabulary Prediction in CLIP8 Jul 2026
- 2026Towards the Connection between Activation Sparsity and Flat Minima25 May 2026
- 2026Vision Transformers Need Better Token Interaction22 May 2026
38 more
- 2026Towards Verifiable Transformers: Solver-Checkable Circuit Explanations21 May 2026
- 2026Steered Generation via Gradient-Based Optimization on Sparse Query Features21 May 2026
- 2026EntmaxKV: Support-Aware Decoding for Entmax Attention20 May 2026
- 2026Empty SPACE: Cross-Attention Sparsity for Concept Erasure in Diffusion Models11 May 2026
- 2026Unifying Sparse Attention with Hierarchical Memory for Scalable Long-Context LLM Serving29 Apr 2026
- 2026Salca: A Sparsity-Aware Hardware Accelerator for Efficient Long-Context Attention Decoding27 Apr 2026
- 2026Improving Sparse Autoencoder with Dynamic Attention16 Apr 2026
- 2026Screening Is Enough1 Apr 2026
- 2026Selectivity and Shape in the Design of Forward-Forward Goodness Functions28 Mar 2026
- 2026WISTERIA: Weak Implicit Signal-based Temporal Relation Extraction with Attention24 Mar 2026
- 2026Token Entropy Regularization for Multi-modal Antenna Affiliation Identification29 Jan 2026
- 2026FROST: Filtering Reasoning Outliers with Attention for Efficient Reasoning26 Jan 2026
- 2025Making Every Head Count: Sparse Attention Without the Speed-Performance Trade-off12 Nov 2025
- 2025Weaver: Kronecker Product Approximations of Spatiotemporal Attention for Traffic Network Forecasting12 Nov 2025
- 2025Transformers as Intrinsic Optimizers: Forward Inference through the Energy Principle2 Nov 2025
- 2025Beyond Flat Unknown Labels in Open-World Object Detection10 Oct 2025
- 2025The End of Transformers? On Challenging Attention and the Rise of Sub-Quadratic Architectures6 Oct 2025
- 2025Hierarchical Self-Attention: Generalizing Neural Attention Mechanics to Multi-Scale Problems18 Sep 2025
- 2025Scaled-Dot-Product Attention as One-Sided Entropic Optimal Transport11 Aug 2025
- 2025Spatial-Temporal-Spectral Mamba with Sparse Deformable Token Sequence for Enhanced MODIS Time Series Classification29 Jul 2025
- 2025A statistical physics framework for optimal learning10 Jul 2025
- 2025A unified framework for establishing the universal approximation of transformer-type architectures30 Jun 2025
- 2025Long-Context Generalization with Sparse Attention19 Jun 2025
- 2025DAM: Dynamic Attention Mask for Long-Context Large Language Model Inference Acceleration6 Jun 2025
- 2025Foundations of Top-k Decoding For Language Models25 May 2025
- 2025SFi-Former: Sparse Flow Induced Attention for Graph Transformer29 Apr 2025
- 2025Revisiting Transformers through the Lens of Low Entropy and Dynamic Sparsity26 Apr 2025
- 2025The Dual-Route Model of Induction3 Apr 2025
- 2025On Vanishing Variance in Transformer Length Generalization3 Apr 2025
- 2025FDCT: Frequency-Aware Decomposition and Cross-Modal Token-Alignment for Multi-Sensor Target Classification12 Mar 2025
- 2025PLADIS: Pushing the Limits of Attention in Diffusion Models at Inference Time by Leveraging Sparsity10 Mar 2025
- 2025Beyond Matryoshka: Revisiting Sparse Coding for Adaptive Representation3 Mar 2025
- 2025Mixture of Experts for Recognizing Depression from Interview and Reading Tasks27 Feb 2025
- 2025Investigating Neurons and Heads in Transformer-based LLMs for Typographical Errors27 Feb 2025
- 2025Steered Generation via Gradient Descent on Sparse Features25 Feb 2025
- 2025Compression Barriers for Autoregressive Transformers21 Feb 2025
- 2025Practical Principles for AI Cost and Compute Accounting21 Feb 2025
- 2025Mamba-Shedder: Post-Transformer Compression for Efficient Selective Structured State Space Models28 Jan 2025
50 newest of 155 All 155 (JSON)
- 2023Towards Efficient Generative Large Language Model Serving: A Survey from Algorithms to Systemscited by 102
- 2024Large Language Model Inference Acceleration: A Comprehensive Hardware Perspectivecited by 38
- 2025Compression Barriers for Autoregressive Transformerscited by 5
- 2025DAM: Dynamic Attention Mask for Long-Context Large Language Model Inference Accelerationcited by 4
- 2026Unifying Sparse Attention with Hierarchical Memory for Scalable Long-Context LLM Servingcited by 4
- 2024The CAP Principle for LLM Serving: A Survey of Long-Context Large Language Model Servingcited by 3
- 2026EntmaxKV: Support-Aware Decoding for Entmax Attentioncited by 0
- 2026TileMix: Tile-Centric Mixed-Precision Attention for LLM Inference Accelerationcited by 0
- 2026TileMix: Tile-Centric Mixed-Precision Attention for LLM Inference Acceleration18 Aug 2026
- 2026EntmaxKV: Support-Aware Decoding for Entmax Attention20 May 2026
- 2026Unifying Sparse Attention with Hierarchical Memory for Scalable Long-Context LLM Serving29 Apr 2026
- 2025DAM: Dynamic Attention Mask for Long-Context Large Language Model Inference Acceleration6 Jun 2025
- 2025Compression Barriers for Autoregressive Transformers21 Feb 2025
- 2024Large Language Model Inference Acceleration: A Comprehensive Hardware Perspective6 Oct 2024
- 2024The CAP Principle for LLM Serving: A Survey of Long-Context Large Language Model Serving18 May 2024
- 2023Towards Efficient Generative Large Language Model Serving: A Survey from Algorithms to Systems23 Dec 2023
- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,073
- 2021DSelect-k: Differentiable Selection in the Mixture of Experts with Applications to Multi-Task Learningcited by 115
- 2023Exploiting Activation Sparsity with Dense to Dynamic-k Mixture-of-Experts Conversioncited by 16
- 2024Conditional computation in neural networks: principles and research trendscited by 10
- 2025Mixture of Experts for Recognizing Depression from Interview and Reading Taskscited by 1
- 2025Mixture of Experts for Recognizing Depression from Interview and Reading Tasks27 Feb 2025
- 2024Conditional computation in neural networks: principles and research trends12 Mar 2024
- 2023Exploiting Activation Sparsity with Dense to Dynamic-k Mixture-of-Experts Conversion6 Oct 2023
- 2021DSelect-k: Differentiable Selection in the Mixture of Experts with Applications to Multi-Task Learning7 Jun 2021
- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsity11 Jan 2021
- 2023Sparse Autoencoders Find Highly Interpretable Features in Language Modelscited by 1,420
- 2026Improving Sparse Autoencoder with Dynamic Attentioncited by 2
- 2026Towards Verifiable Transformers: Solver-Checkable Circuit Explanationscited by 1
- 2026Steered Generation via Gradient-Based Optimization on Sparse Query Featurescited by 0
- 2026Towards Verifiable Transformers: Solver-Checkable Circuit Explanations21 May 2026
- 2026Steered Generation via Gradient-Based Optimization on Sparse Query Features21 May 2026
- 2026Improving Sparse Autoencoder with Dynamic Attention16 Apr 2026
- 2023Sparse Autoencoders Find Highly Interpretable Features in Language Models15 Sep 2023
- 2021Perceiver: General Perception with Iterative Attentioncited by 1,104
- 2021BASE Layers: Simplifying Training of Large, Sparse Modelscited by 320
- 2022Transformers in Medical Imaging: A Surveycited by 245
- 2021Mind the Gap: Assessing Temporal Generalization in Neural Language Modelscited by 230
- 2023Learning A Sparse Transformer Network for Effective Image Derainingcited by 205
- 2024The Remarkable Robustness of LLMs: Stages of Inference?cited by 146
- 2022Unveiling Transformers with LEGO: a synthetic reasoning taskcited by 106
- 2024Information Flow Routes: Automatically Interpreting Language Models at Scalecited by 95
- 2021Do Long-Range Language Models Actually Use Long-Range Context?cited by 92
- 2023Neurons in Large Language Models: Dead, N-gram, Positionalcited by 88
- 2022Efficient Methods for Natural Language Processing: A Surveycited by 78
- 2021A Practical Survey on Faster and Lighter Transformerscited by 73
12 most cited of 131 All 131 (JSON)
- 2026Underscoring the Problem: Why Softpick Fails at Initialization4 Oct 2026
- 2026Prescriptive SVD-Inspired Attention via Spectral Energy Retention21 Sep 2026
- 2026When Does Context Routing Help? A Systematic Study of Multi-Modal Fusion in Time Series Forecasting25 Aug 2026
- 2026VisAdj: Learning Adjacency Matrices from Node-Link Images22 Aug 2026
- 2026A Quantum Roadmap for Softmax Attention: Exact Born-Rule Analogs for Softmax Attention on the Probability Simplex11 Aug 2026
- 2026When Should Graph Attention Be Sparse? Learning a Per-Edge Tsallis Index3 Aug 2026
- 2026Thresholded Cross-Attention for Reliable Intensity-Chromaticity Fusion in Low-Light Image Enhancement15 Jul 2026
- 2026Sparse Attention for Dense Open-Vocabulary Prediction in CLIP8 Jul 2026
- 2026Towards the Connection between Activation Sparsity and Flat Minima25 May 2026
- 2026Vision Transformers Need Better Token Interaction22 May 2026
- 2026Salca: A Sparsity-Aware Hardware Accelerator for Efficient Long-Context Attention Decoding27 Apr 2026
- 2026Screening Is Enough1 Apr 2026
12 newest of 131 All 131 (JSON)