Value Residual Learning
On the map: Efficient LLM inference and serving → KV cache optimization
Abstract (arXiv)
While Transformer models have achieved remarkable success in various domains, the effectiveness of information propagation through deep networks remains a critical challenge. Standard hidden state residuals often fail to adequately preserve initial token-level information in deeper layers. This paper introduces ResFormer, a novel architecture that enhances information flow by incorporating value residual connections in addition to hidden state residuals. And a variant is SVFormer, where all layers share the first layer's value embedding. Comprehensive empirical evidence demonstrates ResFormer achieves equivalent validation loss with 16.11% fewer model parameters and 20.3% less training data compared to Transformer, while maintaining similar memory usage and computational cost. Besides, SVFormer reduces KV cache size by nearly half with only a small performance penalty and can be integrated with other KV-efficient methods, yielding further reductions in KV cache, with performance influenced by sequence length and cumulative learning rate.
Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). Placed in KV cache optimization, one of 12 directions in Efficient LLM inference and serving. Builds on 33 of its 41 references that are in the map. First posted on arXiv 23 Oct 2024.
Builds on
33 of 41 references.
Closest ancestors · 2
Same direction, newest first
- 2024Attention Score is not All You Need for Token Importance Indicator in KV Cache Reduction: Value Also Matters18 Jun
- 2024Reducing Transformer Key-Value Cache Size with Cross-Layer Attention21 May
Other references · 31
- 2017Attention Is All You Needcited by 60,361
- 2015Deep Residual Learning for Image Recognitioncited by 52,096
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
- 2020Language Models are Few-Shot Learnerscited by 32,419
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 30,186
- 2024The Llama 3 Herd of Modelscited by 14,715
- 2016Densely Connected Convolutional Networkscited by 6,720
- 2020Scaling Laws for Neural Language Modelscited by 6,586
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
- 2021RoFormer: Enhanced Transformer with Rotary Position Embeddingcited by 4,703
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
19 more
- 2019ALBERT: A Lite BERT for Self-supervised Learning of Language Representationscited by 2,790
- 2023Efficient Streaming Language Models with Attention Sinkscited by 2,186
- 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,164
- 2020GLU Variants Improve Transformercited by 1,804
- 2023Pythia: A Suite for Analyzing Large Language Models Across Training and Scalingcited by 1,786
- 2023GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpointscited by 1,346
- 2023LIMA: Less Is More for Alignmentcited by 1,100
- 2019What Does BERT Look At? An Analysis of BERT's Attentioncited by 1,003
- 2016Deep Networks with Stochastic Depthcited by 979
- 2019Fast Transformer Decoding: One Write-Head is All You Needcited by 717
- 2024TinyLlama: An Open-Source Small Language Modelcited by 618
- 2023DoReMi: Optimizing Data Mixtures Speeds Up Language Model Pretrainingcited by 399
- 2022Anti-Oversmoothing in Deep Vision Transformers via the Fourier Domain Analysis: From Theory to Practicecited by 136
- 2023Skywork: A More Open Bilingual Foundation Modelcited by 112
- 2022Revisiting Over-smoothing in BERT from the Perspective of Graphcited by 72
- 2024Active-Dormant Attention Heads: Mechanistically Demystifying Extreme-Token Phenomena in LLMscited by 56
- 2024DenseFormer: Enhancing Information Flow in Transformers via Depth Weighted Averagingcited by 53
- 2023Mitigating Over-smoothing in Transformers via Regularized Nonlocal Functionalscited by 32
- 2024Attention Is All You Need But You Don't Need All Of It For Inference of Large Language Modelscited by 2
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Citing papers per year: 2025: 3; 2026: 24.
27 papers.
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- 2026Attention Residualscited by 65
- 2026On the Design of Qwen3.8-Next Architecture: Evaluation, Efficiency, and Training Stabilitycited by 35
- 2025Lost in Latent Space: An Empirical Study of Latent Diffusion Models for Physics Emulationcited by 19
- 2025Reconstructing KV Caches with Cross-layer Fusion For Enhanced Transformerscited by 6
- 2026ANCRe: Adaptive Neural Connection Reassignment for Efficient Depth Scalingcited by 5
- 2026GaussianGPT: Towards Autoregressive 3D Gaussian Scene Generationcited by 5
- 2025You Do Not Fully Utilize Transformer's Representation Capacitycited by 4
- 2026More Expressive Feedforward Layers: Part I. Token-Adaptive Mixing of Activationscited by 3
- 2026Depth-Attention: Cross-Layer Value Mixing for Language Modelscited by 3
- 2026YOCO++: Enhancing YOCO with KV Residual Connections for Efficient LLM Inferencecited by 2
- 2026Tight Complexity of Muon under Heavy-Tailed Noisecited by 2
- 2026Heuresis: Search Strategies for Autonomous AI Research Agents Across Quality, Diversity and Noveltycited by 2
15 more
- 2026Transformers with Selective Access to Early Representationscited by 1
- 2026Key-Value Means: Transformers with Expandable Block-Recurrent Compressed Memorycited by 1
- 2026SNLP: Layer-Parallel Inference via Structured Newton Correctionscited by 1
- 2026Do Value Vectors in Deep Layers Need Context from the Residual Stream?cited by 1
- 2026Linear Attention Architectures: Mechanisms, Trade-offs, and Cross-Layer Routingcited by 1
- 2026Attention Projection Mixing with Exogenous Anchorscited by 0
- 2026Layer-Parallel Inference Reduces Encrypted Nonlinear Depth in Transformerscited by 0
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixingcited by 0
- 2026One Form to Transfer Them All: Pretraining Multilingual Language Models Beyond Native Orthographycited by 0
- 2026NeoMME: A Single-Tower Multimodal-Native Multilingual Foundation Encoder for Efficient Fine-Tuning and Inferencecited by 0
- 2026Scaling Laws, Tabular Data and Actuarial Ratemaking Modelscited by 0
- 2026Depth and Scale in the Sub-150M Regime: JugnuLM-53M vs JugnuLM-110Mcited by 0
- 2026MoME: Mixture-of-Memory Embeddings for Context-Aware Sparse Lookupcited by 0
- 2026Bongard: Training Machine Intuitioncited by 0
- 2026The Row Normalization Puzzle in Muoncited by 0
- 2026The Row Normalization Puzzle in Muon30 Sep 2026
- 2026Bongard: Training Machine Intuition30 Sep 2026
- 2026MoME: Mixture-of-Memory Embeddings for Context-Aware Sparse Lookup14 Sep 2026
- 2026Depth and Scale in the Sub-150M Regime: JugnuLM-53M vs JugnuLM-110M13 Sep 2026
- 2026Scaling Laws, Tabular Data and Actuarial Ratemaking Models2 Sep 2026
- 2026NeoMME: A Single-Tower Multimodal-Native Multilingual Foundation Encoder for Efficient Fine-Tuning and Inference31 Aug 2026
- 2026On the Design of Qwen3.8-Next Architecture: Evaluation, Efficiency, and Training Stability31 Aug 2026
- 2026One Form to Transfer Them All: Pretraining Multilingual Language Models Beyond Native Orthography26 Aug 2026
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixing19 Aug 2026
- 2026Linear Attention Architectures: Mechanisms, Trade-offs, and Cross-Layer Routing8 Jul 2026
- 2026Layer-Parallel Inference Reduces Encrypted Nonlinear Depth in Transformers6 Jul 2026
- 2026Heuresis: Search Strategies for Autonomous AI Research Agents Across Quality, Diversity and Novelty23 Jun 2026
15 more
- 2026Depth-Attention: Cross-Layer Value Mixing for Language Models3 Jun 2026
- 2026Do Value Vectors in Deep Layers Need Context from the Residual Stream?1 Jun 2026
- 2026More Expressive Feedforward Layers: Part I. Token-Adaptive Mixing of Activations26 May 2026
- 2026Tight Complexity of Muon under Heavy-Tailed Noise18 May 2026
- 2026SNLP: Layer-Parallel Inference via Structured Newton Corrections18 May 2026
- 2026Key-Value Means: Transformers with Expandable Block-Recurrent Compressed Memory11 May 2026
- 2026Transformers with Selective Access to Early Representations5 May 2026
- 2026YOCO++: Enhancing YOCO with KV Residual Connections for Efficient LLM Inference15 Apr 2026
- 2026GaussianGPT: Towards Autoregressive 3D Gaussian Scene Generation27 Mar 2026
- 2026Attention Residuals16 Mar 2026
- 2026ANCRe: Adaptive Neural Connection Reassignment for Efficient Depth Scaling9 Feb 2026
- 2026Attention Projection Mixing with Exogenous Anchors13 Jan 2026
- 2025Reconstructing KV Caches with Cross-layer Fusion For Enhanced Transformers3 Dec 2025
- 2025Lost in Latent Space: An Empirical Study of Latent Diffusion Models for Physics Emulation3 Jul 2025
- 2025You Do Not Fully Utilize Transformer's Representation Capacity13 Feb 2025
- 2026Attention Residualscited by 65
- 2026ANCRe: Adaptive Neural Connection Reassignment for Efficient Depth Scalingcited by 5
- 2025You Do Not Fully Utilize Transformer's Representation Capacitycited by 4
- 2026More Expressive Feedforward Layers: Part I. Token-Adaptive Mixing of Activationscited by 3
- 2026Tight Complexity of Muon under Heavy-Tailed Noisecited by 2
- 2026Transformers with Selective Access to Early Representationscited by 1
- 2026Key-Value Means: Transformers with Expandable Block-Recurrent Compressed Memorycited by 1
- 2026SNLP: Layer-Parallel Inference via Structured Newton Correctionscited by 1
- 2026Do Value Vectors in Deep Layers Need Context from the Residual Stream?cited by 1
- 2026Linear Attention Architectures: Mechanisms, Trade-offs, and Cross-Layer Routingcited by 1
- 2026Attention Projection Mixing with Exogenous Anchorscited by 0
- 2026Layer-Parallel Inference Reduces Encrypted Nonlinear Depth in Transformerscited by 0
12 most cited of 17 All 17 (JSON)
- 2026The Row Normalization Puzzle in Muon30 Sep 2026
- 2026Bongard: Training Machine Intuition30 Sep 2026
- 2026Scaling Laws, Tabular Data and Actuarial Ratemaking Models2 Sep 2026
- 2026One Form to Transfer Them All: Pretraining Multilingual Language Models Beyond Native Orthography26 Aug 2026
- 2026WhiteMatter: All-to-All Cross-Layer Connections via KV Source Mixing19 Aug 2026
- 2026Linear Attention Architectures: Mechanisms, Trade-offs, and Cross-Layer Routing8 Jul 2026
- 2026Layer-Parallel Inference Reduces Encrypted Nonlinear Depth in Transformers6 Jul 2026
- 2026Do Value Vectors in Deep Layers Need Context from the Residual Stream?1 Jun 2026
- 2026More Expressive Feedforward Layers: Part I. Token-Adaptive Mixing of Activations26 May 2026
- 2026Tight Complexity of Muon under Heavy-Tailed Noise18 May 2026
- 2026SNLP: Layer-Parallel Inference via Structured Newton Corrections18 May 2026
- 2026Key-Value Means: Transformers with Expandable Block-Recurrent Compressed Memory11 May 2026
12 newest of 17 All 17 (JSON)
Similar, not cited
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- 2025Improving Model Representation and Reducing KV Cache via Skip Connections with First Value Heads
- 2026The Residual Stream Is All You Need: On the Redundancy of the KV Cache in Transformer Inference
- 2026Post-Training Probability Manifold Correction via Structured SVD Pruning and Self-Referential Distillation
- 2026Trust, but Verify: Peeling Low-Bit Transformer Networks for Training Monitoring
- 2026Codec-Gauge: Learning Compression-Friendly Gauges for Transformer KV Caches
- 2026ReSAE: Residualized Sparse Autoencoders for Multi-Layer Transformer Interventions
- 2026The Quantization Benefits of Residual-Free Transformers
- 2026Tensor Decomposition of Transformer Key-Value Caches: Spectral Structure and Format Comparison