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arXiv preprint arXiv:2406.06484 , year=

17 Pith papers cite this work. Polarity classification is still indexing.

17 Pith papers citing it
abstract

Transformers with linear attention (i.e., linear transformers) and state-space models have recently been suggested as a viable linear-time alternative to transformers with softmax attention. However, these models still underperform transformers especially on tasks that require in-context retrieval. While more expressive variants of linear transformers which replace the additive update in linear transformers with the delta rule (DeltaNet) have been found to be more effective at associative recall, existing algorithms for training such models do not parallelize over sequence length and are thus inefficient to train on modern hardware. This work describes a hardware-efficient algorithm for training linear transformers with the delta rule, which exploits a memory-efficient representation for computing products of Householder matrices. This algorithm allows us to scale up DeltaNet to standard language modeling settings. We train a 1.3B model for 100B tokens and find that it outperforms recent linear-time baselines such as Mamba and GLA in terms of perplexity and zero-shot performance on downstream tasks. We also experiment with two hybrid models which combine DeltaNet layers with (1) sliding-window attention layers every other layer or (2) two global attention layers, and find that these hybrids outperform strong transformer baselines.

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representative citing papers

WriteSAE: Sparse Autoencoders for Recurrent State

cs.LG · 2026-05-12 · unverdicted · novelty 8.0 · 2 refs

WriteSAE introduces sparse autoencoders with rank-1 matrix atoms for recurrent state updates, allowing replacement tests that outperform deletion on 92.4% of positions and a formula predicting logit changes with R²=0.98.

In-Place Test-Time Training

cs.LG · 2026-04-07 · conditional · novelty 6.0

In-Place TTT adapts LLM MLP projection matrices at test time with a next-token-aligned objective and chunk-wise updates, enabling better long-context performance as a drop-in enhancement.

Test-Time Training Done Right

cs.LG · 2025-05-29 · conditional · novelty 6.0

Large-chunk online updates during inference let test-time training scale state capacity to 40% of model size and handle contexts up to 1M tokens without custom kernels.

Q-Delta: Beyond Key-Value Associative State Evolution

cs.AI · 2026-06-07 · unverdicted · novelty 5.0

Q-Delta extends linear attention by introducing a query-conditioned delta rule that incorporates mixed key-query errors into recurrent state updates for improved stability and performance.

Adaptive Memory Decay for Log-Linear Attention

cs.LG · 2026-05-07 · conditional · novelty 5.0

Making memory decay input-dependent via a lightweight MLP improves log-linear attention performance on associative recall, selective copying, and language modeling, especially for long sequences.

COREY: Entropy-Guided Runtime Chunk Scheduling for Selective Scan Kernels

cs.CV · 2026-04-12 · unverdicted · novelty 5.0

COREY maps activation entropy to chunk sizes for SSM kernels, matching static-oracle latency at kernel level with 3.9-4.4x speedups over baselines but adding overhead that prevents end-to-end gains while preserving exact output equivalence.

UltraQuant: 4-bit KV Caching for Context-Heavy Agents

cs.LG · 2026-06-18 · unverdicted · novelty 4.0

UltraQuant applies 4-bit KV caching with TurboQuant-style rotation and custom AMD kernels to context-heavy agent workloads, delivering 3.47x P50 TTFT reduction in cache-pressured rounds and 1.63x throughput gain over FP8.

Pretraining Recurrent Networks without Recurrence

cs.LG · 2026-06-04 · conditional · novelty 4.0

SMT trains nonlinear RNNs by imitating one-step memory-transition labels generated by a Transformer, replacing BPTT's unrolled credit assignment with time-parallel supervised learning.

citing papers explorer

Showing 17 of 17 citing papers.

  • WriteSAE: Sparse Autoencoders for Recurrent State cs.LG · 2026-05-12 · unverdicted · none · ref 34 · 2 links

    WriteSAE introduces sparse autoencoders with rank-1 matrix atoms for recurrent state updates, allowing replacement tests that outperform deletion on 92.4% of positions and a formula predicting logit changes with R²=0.98.

  • Learning to (Learn at Test Time): RNNs with Expressive Hidden States cs.LG · 2024-07-05 · conditional · none · ref 83

    TTT layers treat the hidden state as a trainable model updated at test time, allowing linear-complexity sequence models to scale perplexity reduction with context length unlike Mamba.

  • ZipMap: Linear-Time Stateful 3D Reconstruction via Test-Time Training cs.CV · 2026-03-04 · unverdicted · none · ref 80

    ZipMap achieves linear-time bidirectional 3D reconstruction by zipping image collections into a compact stateful representation via test-time training layers.

  • What to Keep, What to Forget: A Rate--Distortion View of Memory Compaction in LLMs and Agents cs.LG · 2026-07-09 · conditional · none · ref 140 · internal anchor

    KV-cache eviction, prompt compression, recurrent state bounding, and agent memory consolidation are unified as one rate-distortion problem with a shared lower bound, shared failure mode, and transferable mechanisms.

  • Sparse Delta Memory: Scaling the State of Linear RNNs through Sparsity cs.LG · 2026-07-08 · conditional · none · ref 114 · internal anchor

    SDM sparsifies the Gated DeltaNet update rule to enable 1000x larger recurrent memory states at iso-FLOP, improving long-context recall and short-context reasoning over GDN and matching full attention at 8B scale.

  • Towards Understanding Self-Pretraining for Sequence Classification cs.LG · 2026-05-20 · unverdicted · none · ref 99

    Self-pretraining improves Transformer sequence classification by enabling learning of proximity-biased attention from positional encodings that label supervision alone cannot easily acquire from random starts.

  • In-Place Test-Time Training cs.LG · 2026-04-07 · conditional · none · ref 62

    In-Place TTT adapts LLM MLP projection matrices at test time with a next-token-aligned objective and chunk-wise updates, enabling better long-context performance as a drop-in enhancement.

  • Phase-Associative Memory: Sequence Modeling in Complex Hilbert Space cs.CL · 2026-04-06 · unverdicted · none · ref 97

    PAM, a complex-valued associative memory model, exhibits steeper power-law scaling in loss and perplexity than a matched real-valued baseline when trained on WikiText-103 from 5M to 100M parameters.

  • Kimi Linear: An Expressive, Efficient Attention Architecture cs.CL · 2025-10-30 · unverdicted · none · ref 115

    Kimi Linear hybridizes linear attention with a new KDA module to beat full attention on tasks while slashing KV cache by 75% and speeding decoding up to 6x.

  • Test-Time Training Done Right cs.LG · 2025-05-29 · conditional · none · ref 10

    Large-chunk online updates during inference let test-time training scale state capacity to 40% of model size and handle contexts up to 1M tokens without custom kernels.

  • Q-Delta: Beyond Key-Value Associative State Evolution cs.AI · 2026-06-07 · unverdicted · none · ref 91

    Q-Delta extends linear attention by introducing a query-conditioned delta rule that incorporates mixed key-query errors into recurrent state updates for improved stability and performance.

  • Adaptive Memory Decay for Log-Linear Attention cs.LG · 2026-05-07 · conditional · none · ref 10

    Making memory decay input-dependent via a lightweight MLP improves log-linear attention performance on associative recall, selective copying, and language modeling, especially for long sequences.

  • COREY: Entropy-Guided Runtime Chunk Scheduling for Selective Scan Kernels cs.CV · 2026-04-12 · unverdicted · none · ref 4

    COREY maps activation entropy to chunk sizes for SSM kernels, matching static-oracle latency at kernel level with 3.9-4.4x speedups over baselines but adding overhead that prevents end-to-end gains while preserving exact output equivalence.

  • Nirvana: A Specialized Generalist Model With Task-Aware Memory Mechanism cs.LG · 2025-10-30 · unverdicted · none · ref 46

    Nirvana adds a task-aware memory trigger and updater to specialized generalist models, achieving strong general benchmark results, lowest perplexity in biomedicine/finance/law, and improved MRI reconstruction fidelity.

  • UltraQuant: 4-bit KV Caching for Context-Heavy Agents cs.LG · 2026-06-18 · unverdicted · none · ref 25

    UltraQuant applies 4-bit KV caching with TurboQuant-style rotation and custom AMD kernels to context-heavy agent workloads, delivering 3.47x P50 TTFT reduction in cache-pressured rounds and 1.63x throughput gain over FP8.

  • Reversible Foundations: Training a 120B Sparse MoE through State-Preserving Scaling cs.LG · 2026-06-05 · unverdicted · none · ref 69

    A 120B sparse MoE model with 460 experts was trained on one 8-GPU node to loss 1.78 using reversible recurrence and state-preserving scaling from a 1.78B dense seed, with 5.93B active parameters.

  • Pretraining Recurrent Networks without Recurrence cs.LG · 2026-06-04 · conditional · none · ref 140

    SMT trains nonlinear RNNs by imitating one-step memory-transition labels generated by a Transformer, replacing BPTT's unrolled credit assignment with time-parallel supervised learning.