Attention Residuals
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Abstract (arXiv)
Residual connections with PreNorm are standard in modern LLMs, yet they accumulate all layer outputs with fixed unit weights. This uniform aggregation causes uncontrolled hidden-state growth with depth, progressively diluting each layer's contribution. We propose Attention Residuals (AttnRes), which replaces this fixed accumulation with softmax attention over preceding layer outputs, allowing each layer to selectively aggregate earlier representations with learned, input-dependent weights. To address the memory and communication overhead of attending over all preceding layer outputs for large-scale model training, we introduce Block AttnRes, which partitions layers into blocks and attends over block-level representations, reducing the memory footprint while preserving most of the gains of full AttnRes. Combined with cache-based pipeline communication and a two-phase computation strategy, Block AttnRes becomes a practical drop-in replacement for standard residual connections with minimal overhead. Scaling law experiments confirm that the improvement is consistent across model sizes, and ablations validate the benefit of content-dependent depth-wise selection. We further integrate AttnRes into the Kimi Linear architecture (48B total / 3B activated parameters) and pre-train on 1.4T tokens, where AttnRes mitigates PreNorm dilution, yielding more uniform output magnitudes and gradient distribution across depth, and improves downstream performance across all evaluated tasks.
Key facts. Cited by 57 papers in the map (data through 7 Oct 2026). Builds on 65 of its 70 references that are in the map. First posted on arXiv 16 Mar 2026.
Builds on
65 of 70 references.
References · 65
- 2017Attention Is All You Needcited by 59,932
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 13,958
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2021Evaluating Large Language Models Trained on Codecited by 8,053
- 2020Measuring Massive Multitask Language Understandingcited by 7,768
- 2016Densely Connected Convolutional Networkscited by 6,691
- 2020Scaling Laws for Neural Language Modelscited by 6,411
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
- 2014Neural Machine Translation by Jointly Learning to Align and Translatecited by 4,530
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
38 more
- 2021Program Synthesis with Large Language Modelscited by 3,509
- 2022Training Compute-Optimal Large Language Modelscited by 2,927
- 2017TriviaQA: A Large Scale Distantly Supervised Challenge Dataset for Reading Comprehensioncited by 2,895
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
- 2018Deep contextualized word representationscited by 2,285
- 2023Efficient Streaming Language Models with Attention Sinkscited by 2,115
- 2020Transformers are RNNs: Fast Autoregressive Transformers with Linear Attentioncited by 1,979
- 2022Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Themcited by 1,767
- 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,758
- 2019Root Mean Square Layer Normalizationcited by 1,425
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
- 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Dualitycited by 1,283
- 2020On Layer Normalization in the Transformer Architecturecited by 906
- 2021Going deeper with Image Transformerscited by 759
- 2023C-Eval: A Multi-Level Multi-Discipline Chinese Evaluation Suite for Foundation Modelscited by 694
- 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 694
- 2021Efficient Large-Scale Language Model Training on GPU Clusters Using Megatron-LMcited by 621
- 2023Retentive Network: A Successor to Transformer for Large Language Modelscited by 594
- 2023YaRN: Efficient Context Window Extension of Large Language Modelscited by 584
- 2022Efficiently Scaling Transformer Inferencecited by 529
- 2022Language Models are Multilingual Chain-of-Thought Reasonerscited by 518
- 2023Gated Linear Attention Transformers with Hardware-Efficient Trainingcited by 490
- 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 483
- 2021Linear Transformers Are Secretly Fast Weight Programmerscited by 471
- 2023CMMLU: Measuring massive multitask language understanding in Chinesecited by 436
- 2025Muon is Scalable for LLM Trainingcited by 381
- 2024Learning to (Learn at Test Time): RNNs with Expressive Hidden Statescited by 329
- 2020ReZero is All You Need: Fast Convergence at Large Depthcited by 260
- 2015Highway Networkscited by 257
- 2024The Unreasonable Ineffectiveness of the Deeper Layerscited by 219
- 2022DeepNet: Scaling Transformers to 1,000 Layerscited by 176
- 2025Kimi Linear: An Expressive, Efficient Attention Architecturecited by 169
- 2018Online normalizer calculation for softmaxcited by 154
- 2019Transformers without Tears: Improving the Normalization of Self-Attentioncited by 153
- 2024HGRN2: Gated Linear RNNs with State Expansioncited by 122
- 2024Hyper-Connectionscited by 81
- 2025mHC: Manifold-Constrained Hyper-Connectionscited by 76
- 2024DenseFormer: Enhancing Information Flow in Transformers via Depth Weighted Averagingcited by 48
50 most cited of 65 All 65 (JSON)
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Citing papers per year: 2026: 57.
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- 2026Delta Attention Residualscited by 7
- 2026When Does Value-Aware KV Eviction Help? A Fixed-Contract Diagnostic for Non-Monotone Cache Compressioncited by 4
- 2026Attention Drift: What Autoregressive Speculative Decoding Models Learncited by 4
- 2026Fill the GAP: A Granular Alignment Paradigm for Visual Reasoning in Multimodal Large Language Modelscited by 4
- 2026PowLU: An Activation Function for Stable Pre-Training of LLMscited by 4
- 2026Neural Scaling Universality: If Exponents Are Fixed, Time to Understand Coefficientscited by 4
- 2026Symbolic-Vector Attention Fusion for Collective Intelligencecited by 3
- 2026xHC: Expanded Hyper-Connectionscited by 3
- 2026Residual Stream Duality in Modern Transformer Architecturescited by 2
- 2026Attention Sinks and Outliers in Attention Residualscited by 2
- 2026Rethinking Cross-Layer Information Routing in Diffusion Transformerscited by 2
- 2026ReactVLA: Fast and Lightweight Reactive Robot Manipulation via Improved Mean Flow Action Generationcited by 2
38 more
- 2026Edge Cluster Expansion with Radial Rotary Attention for Interatomic Potentialscited by 2
- 2026SANA-Video 2.0: Hybrid Linear Attention with Attention Residuals for Efficient Video Generationcited by 2
- 2026Multi-Head Attention Residualscited by 2
- 2026GeoAlign: Geometric Feature Realignment for MLLM Spatial Reasoningcited by 1
- 2026Transformers with Selective Access to Early Representationscited by 1
- 2026Probing Routing-Conditional Calibration in Attention-Residual Transformerscited by 1
- 2026Mechanism-Driven Monitors for Preemptive Detection of LLM Training Instabilitycited by 1
- 2026Exploring the Performance Frontier of Compact Unified Image Generation Modelscited by 1
- 2026Continued AI Scaling Requires Repeated Efficiency Doublingscited by 0
- 2026Gradient Boosting within a Single Attention Layercited by 0
- 2026XAttnRes: Cross-Stage Attention Residuals for Medical Image Segmentationcited by 0
- 2026CAWN: Continuous Acoustic Wave Networks for Autoregressive Language Modelingcited by 0
- 2026YOCO++: Enhancing YOCO with KV Residual Connections for Efficient LLM Inferencecited by 0
- 2026DALM: A Domain-Algebraic Language Model via Three-Phase Structured Generationcited by 0
- 2026A Cellular Doctrine of Morality: Intrinsic Active Precision and the Mind-Reality Overload Dilemmacited by 0
- 2026NavOne: One-Step Global Planning for Vision-Language Navigation on Top-Down Mapscited by 0
- 2026Cubit: Token Mixer with Kernel Ridge Regressioncited by 0
- 2026Queryable LoRA: Instruction-Regularized Routing Over Shared Low-Rank Update Atomscited by 0
- 2026L2A: Learning to Accumulate Pose History for Accurate 3D Human Pose Estimationcited by 0
- 2026Multi-Gate Residualscited by 0
- 2026Cross-Stage Attention Multi-Expert Network for Radiologist-Inspired Breast Ultrasound Diagnosiscited by 0
- 2026RowNet: A Memory Transformer for Tabular Regressioncited by 0
- 2026HAARES Half-Split Residual Basis Routing for Deep Transformerscited by 0
- 2026All Routes Lead to Collapsecited by 0
- 2026Review Residuals: Update-Conditioned Residual Gating for Transformerscited by 0
- 2026Linear Attention Architectures: Mechanisms, Trade-offs, and Cross-Layer Routingcited by 0
- 2026Structural Bottlenecks on Frequency Representation in End-to-End Audio Modelscited by 0
- 2026Role-Decoupled Attention Residuals: Separating Matching and Content Retrieval Across Depthcited by 0
- 2026Intern-S2-Mobius: Foundation Model with Decoupled Knowledge and Reasoningcited by 0
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixingcited by 0
- 2026From Memorization to Absorption: Mixed-Policy RL for Continual Knowledge Injectioncited by 0
- 2026Do New Attention Mechanisms Actually Fix Attention Sinks at Million-Token Context?cited by 0
- 2026NCP-ArchPreview Technical Report: Moving towards Latent Space Language Models through Next Concept Predictioncited by 0
- 2026Dataset-Dependent Effects of Cross-Depth Aggregation and Soft-Routed Experts in EEG Foundation Model Fine-Tuningcited by 0
- 2026How Model Growth, Recursion, and Boundary Operators Influence Scaling Exponentscited by 0
- 2026Storing Is Not Remembering: LSTM-UT and Bounded Gated Memory for Looped Transformerscited by 0
- 2026Shared Global KV with Layer-Specific Local Historycited by 0
- 2026Write Back the Delta: Revisiting the Same Tokens with Fresh Representationscited by 0
50 most cited of 57 All 57 (JSON)
- 2026Scaling to Tens of Thousands of Test-Time Iterations with Loop-Native Attention Residuals8 Oct 2026
- 2026Auditing Routing Entropy as an Uncertainty Signal in Attention-Residual Transformers1 Oct 2026
- 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Experts1 Oct 2026
- 2026T-Router: Learning Thalamic Routing for Reasoning with Parameter-Efficient Reinforcement Learning30 Sep 2026
- 2026Routing Probes Can Improve Without New Information: An Exact-Null Audit of Uncertainty Beyond Model Outputs30 Sep 2026
- 2026Structured Visual Target Learning For Cross-Subject eeg-to-image retrieval29 Sep 2026
- 2026DepthBench: Measuring How Residual Connections Enable More Computational Depth26 Sep 2026
- 2026Write Back the Delta: Revisiting the Same Tokens with Fresh Representations26 Sep 2026
- 2026Shared Global KV with Layer-Specific Local History23 Sep 2026
- 2026Storing Is Not Remembering: LSTM-UT and Bounded Gated Memory for Looped Transformers17 Sep 2026
- 2026How Model Growth, Recursion, and Boundary Operators Influence Scaling Exponents16 Sep 2026
- 2026Dataset-Dependent Effects of Cross-Depth Aggregation and Soft-Routed Experts in EEG Foundation Model Fine-Tuning15 Sep 2026
38 more
- 2026NCP-ArchPreview Technical Report: Moving towards Latent Space Language Models through Next Concept Prediction9 Sep 2026
- 2026Do New Attention Mechanisms Actually Fix Attention Sinks at Million-Token Context?8 Sep 2026
- 2026From Memorization to Absorption: Mixed-Policy RL for Continual Knowledge Injection26 Aug 2026
- 2026Exploring the Performance Frontier of Compact Unified Image Generation Models20 Aug 2026
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixing19 Aug 2026
- 2026Intern-S2-Mobius: Foundation Model with Decoupled Knowledge and Reasoning14 Aug 2026
- 2026Role-Decoupled Attention Residuals: Separating Matching and Content Retrieval Across Depth2 Aug 2026
- 2026SANA-Video 2.0: Hybrid Linear Attention with Attention Residuals for Efficient Video Generation23 Jul 2026
- 2026Multi-Head Attention Residuals22 Jul 2026
- 2026xHC: Expanded Hyper-Connections16 Jul 2026
- 2026Edge Cluster Expansion with Radial Rotary Attention for Interatomic Potentials12 Jul 2026
- 2026Structural Bottlenecks on Frequency Representation in End-to-End Audio Models9 Jul 2026
- 2026Linear Attention Architectures: Mechanisms, Trade-offs, and Cross-Layer Routing8 Jul 2026
- 2026Review Residuals: Update-Conditioned Residual Gating for Transformers30 Jun 2026
- 2026Mechanism-Driven Monitors for Preemptive Detection of LLM Training Instability26 Jun 2026
- 2026Neural Scaling Universality: If Exponents Are Fixed, Time to Understand Coefficients23 Jun 2026
- 2026All Routes Lead to Collapse21 Jun 2026
- 2026ReactVLA: Fast and Lightweight Reactive Robot Manipulation via Improved Mean Flow Action Generation12 Jun 2026
- 2026HAARES Half-Split Residual Basis Routing for Deep Transformers4 Jun 2026
- 2026RowNet: A Memory Transformer for Tabular Regression3 Jun 2026
- 2026PowLU: An Activation Function for Stable Pre-Training of LLMs25 May 2026
- 2026Cross-Stage Attention Multi-Expert Network for Radiologist-Inspired Breast Ultrasound Diagnosis25 May 2026
- 2026Multi-Gate Residuals22 May 2026
- 2026Rethinking Cross-Layer Information Routing in Diffusion Transformers20 May 2026
- 2026Attention Sinks and Outliers in Attention Residuals18 May 2026
- 2026Delta Attention Residuals13 May 2026
- 2026Fill the GAP: A Granular Alignment Paradigm for Visual Reasoning in Multimodal Large Language Models12 May 2026
- 2026Attention Drift: What Autoregressive Speculative Decoding Models Learn11 May 2026
- 2026Probing Routing-Conditional Calibration in Attention-Residual Transformers11 May 2026
- 2026L2A: Learning to Accumulate Pose History for Accurate 3D Human Pose Estimation9 May 2026
- 2026Queryable LoRA: Instruction-Regularized Routing Over Shared Low-Rank Update Atoms8 May 2026
- 2026When Does Value-Aware KV Eviction Help? A Fixed-Contract Diagnostic for Non-Monotone Cache Compression7 May 2026
- 2026Cubit: Token Mixer with Kernel Ridge Regression7 May 2026
- 2026NavOne: One-Step Global Planning for Vision-Language Navigation on Top-Down Maps7 May 2026
- 2026Transformers with Selective Access to Early Representations5 May 2026
- 2026A Cellular Doctrine of Morality: Intrinsic Active Precision and the Mind-Reality Overload Dilemma2 May 2026
- 2026DALM: A Domain-Algebraic Language Model via Three-Phase Structured Generation17 Apr 2026
- 2026YOCO++: Enhancing YOCO with KV Residual Connections for Efficient LLM Inference15 Apr 2026
50 newest of 57 All 57 (JSON)
- 2026xHC: Expanded Hyper-Connectionscited by 3
- 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Expertscited by 0
- 2026Looping Beyond Twice: A Scalable Recipe for Looped Mixture-of-Experts1 Oct 2026
- 2026xHC: Expanded Hyper-Connections16 Jul 2026
- 2026Delta Attention Residualscited by 7
- 2026PowLU: An Activation Function for Stable Pre-Training of LLMscited by 4
- 2026Neural Scaling Universality: If Exponents Are Fixed, Time to Understand Coefficientscited by 4
- 2026Symbolic-Vector Attention Fusion for Collective Intelligencecited by 3
- 2026Residual Stream Duality in Modern Transformer Architecturescited by 2
- 2026Attention Sinks and Outliers in Attention Residualscited by 2
- 2026Edge Cluster Expansion with Radial Rotary Attention for Interatomic Potentialscited by 2
- 2026Multi-Head Attention Residualscited by 2
- 2026Transformers with Selective Access to Early Representationscited by 1
- 2026Probing Routing-Conditional Calibration in Attention-Residual Transformerscited by 1
- 2026Mechanism-Driven Monitors for Preemptive Detection of LLM Training Instabilitycited by 1
- 2026Exploring the Performance Frontier of Compact Unified Image Generation Modelscited by 1
12 most cited of 47 All 47 (JSON)
- 2026Scaling to Tens of Thousands of Test-Time Iterations with Loop-Native Attention Residuals8 Oct 2026
- 2026Auditing Routing Entropy as an Uncertainty Signal in Attention-Residual Transformers1 Oct 2026
- 2026T-Router: Learning Thalamic Routing for Reasoning with Parameter-Efficient Reinforcement Learning30 Sep 2026
- 2026Routing Probes Can Improve Without New Information: An Exact-Null Audit of Uncertainty Beyond Model Outputs30 Sep 2026
- 2026Structured Visual Target Learning For Cross-Subject eeg-to-image retrieval29 Sep 2026
- 2026DepthBench: Measuring How Residual Connections Enable More Computational Depth26 Sep 2026
- 2026Write Back the Delta: Revisiting the Same Tokens with Fresh Representations26 Sep 2026
- 2026Shared Global KV with Layer-Specific Local History23 Sep 2026
- 2026Storing Is Not Remembering: LSTM-UT and Bounded Gated Memory for Looped Transformers17 Sep 2026
- 2026How Model Growth, Recursion, and Boundary Operators Influence Scaling Exponents16 Sep 2026
- 2026Dataset-Dependent Effects of Cross-Depth Aggregation and Soft-Routed Experts in EEG Foundation Model Fine-Tuning15 Sep 2026
- 2026NCP-ArchPreview Technical Report: Moving towards Latent Space Language Models through Next Concept Prediction9 Sep 2026
12 newest of 47 All 47 (JSON)