Hyperloop Transformers
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Abstract (arXiv)
LLM architecture research generally aims to maximize model quality subject to fixed compute/latency budgets. However, many applications of interest such as edge and on-device deployment are further constrained by the model's memory footprint, thus motivating parameter-efficient architectures for language modeling. This paper describes a simple architecture that improves the parameter-efficiency of LLMs. Our architecture makes use of looped Transformers as a core primitive, which reuse Transformer layers across depth and are thus more parameter-efficient than ordinary (depth-matched) Transformers. We organize the looped Transformer into three blocks--begin, middle, and end blocks--where each block itself consists of multiple Transformer layers, and only the middle block is applied recurrently across depth. We augment the looped middle block with hyper-connections (Xie et al., 2026), which expand the residual stream into matrix-valued residual streams. Hyper-connections are applied only after each loop, and therefore add minimal new parameters and compute cost. Across various model scales, we find that our Hyper-Connected Looped Transformer (Hyperloop Transformer) is able to perform well compared to depth-matched Transformer and mHC Transformer baselines despite using approximately 50% fewer parameters. This performance persists through post-training weight quantization, thus positioning Hyperloop Transformers as an attractive architecture for memory-efficient language modeling.
Key facts. Cited by 12 papers in the map (data through 14 Oct 2026). Builds on 39 of its 46 references that are in the map. First posted on arXiv 23 Apr 2026.
Builds on
39 of 46 references.
References · 39
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27 more
- 2017Crowdsourcing Multiple Choice Science Questionscited by 765
- 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approachcited by 415
- 2025Reasoning with Latent Thoughts: On the Power of Looped Transformerscited by 240
- 2023Looped Transformers as Programmable Computerscited by 237
- 2025Scaling Latent Reasoning via Looped Language Modelscited by 165
- 2023Looped Transformers are Better at Learning Learning Algorithmscited by 149
- 2025Mixture-of-Recursions: Learning Dynamic Recursive Depths for Adaptive Token-Level Computationcited by 133
- 2021The Devil is in the Detail: Simple Tricks Improve Systematic Generalization of Transformerscited by 117
- 2024Hyper-Connectionscited by 84
- 2024Relaxed Recursive Transformers: Effective Parameter Sharing with Layer-wise LoRAcited by 78
- 2024An empirical study of LLaMA3 quantization: from LLMs to MLLMscited by 64
- 2021The Neural Data Router: Adaptive Control Flow in Transformers Improves Systematic Generalizationcited by 62
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- 2024MoEUT: Mixture-of-Experts Universal Transformerscited by 59
- 2026Parcae: Scaling Laws For Stable Looped Language Modelscited by 55
- 2024DenseFormer: Enhancing Information Flow in Transformers via Depth Weighted Averagingcited by 53
- 2025Teaching Pretrained Language Models to Think Deeper with Retrofitted Recurrencecited by 47
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- 2023Sparse Universal Transformercited by 32
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- 2026How Much Is One Recurrence Worth? Iso-Depth Scaling Laws for Looped Language Modelscited by 24
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Built on by
Citing papers per year: 2026: 12.
12 papers.
- 2026Solve the Loop: Attractor Models for Language and Reasoningcited by 13
- 2026LoopQ: Quantization for Looped Language Modelscited by 6
- 2026Investigating Single-Block Recurrence in Vision Transformers for Image Recognitioncited by 4
- 2026CART: Context-Anchored Recurrent Transformer -- A Parameter-Efficient Architecture with Learned Stabilitycited by 4
- 2026Tying the Loop -- Tied Expert Layers in Mixture-of-Experts Language Modelscited by 4
- 2026Looped World Modelscited by 3
- 2026SNLP: Layer-Parallel Inference via Structured Newton Correctionscited by 1
- 2026Scaling Laws for Looped Mixture of Expertscited by 1
- 2026SMolLM: Small Language Models Learn Small Molecular Grammarcited by 0
- 2026Looped Transformers as Optimizerscited by 0
- 2026Universal interpolation for deep residual self-attention networkscited by 0
- 2026One Model to Loop Them All: Elastic Latent Recurrence for Language Modelscited by 0
- 2026One Model to Loop Them All: Elastic Latent Recurrence for Language Models8 Oct 2026
- 2026Universal interpolation for deep residual self-attention networks1 Oct 2026
- 2026Scaling Laws for Looped Mixture of Experts30 Sep 2026
- 2026Looped Transformers as Optimizers29 Sep 2026
- 2026Looped World Models16 Jun 2026
- 2026Tying the Loop -- Tied Expert Layers in Mixture-of-Experts Language Models15 Jun 2026
- 2026CART: Context-Anchored Recurrent Transformer -- A Parameter-Efficient Architecture with Learned Stability31 May 2026
- 2026SNLP: Layer-Parallel Inference via Structured Newton Corrections18 May 2026
- 2026Solve the Loop: Attractor Models for Language and Reasoning12 May 2026
- 2026Investigating Single-Block Recurrence in Vision Transformers for Image Recognition11 May 2026
- 2026LoopQ: Quantization for Looped Language Models8 May 2026
- 2026SMolLM: Small Language Models Learn Small Molecular Grammar7 May 2026
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- 2026FlashLoop: Fast and Memory-Efficient Looped Transformers via Lazy Updates
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