Bottlenecked Transformers: Periodic KV Cache Consolidation for Generalised Reasoning
On the map: LLM reasoning → Test-time compute and efficient thinking
Abstract (arXiv)
Transformer LLMs have been shown to exhibit strong reasoning ability that scales with inference-time compute, most prominently through token-space "thinking" chains of thought. A growing line of work pushes extra computation into the model's latent space, which we term Auxiliary Latent-Space Computation (ALSC). Existing ALSC methods largely fall into three buckets: (i) token-mediated latent rollouts, (ii) residual/activation steering, and (iii) memory (KV) compression. An underexplored alternative is memory consolidation/reconsolidation, two processes in the brain that are responsible for stabilising newly formed memory traces, and, upon recall, transiently rendering established traces plastic such they can integrate new contextual information before restabilising. In Transformer LLMs, this can be seen as analogous to performing in-place rewrites of new KV segments, and rewrites of recalled past segments. In this work, we give a theoretical justification as to why memory (re)consolidation via KV cache rewrites is beneficial for improved reasoning. We do this through the lens of Information Bottleneck (IB) theory, which posits that model generalisation emerges from an optimal balance between input information compression and retention of predictive information in latent representations. We then introduce the Bottlenecked Transformer, which augments a backbone LLM with a Cache Processor, an auxiliary Transformer that performs periodic, non-causal, in-place KV rewrites at newline-delimited reasoning step boundaries. The Processor consolidates recently written KV entries and reconsolidates a small, top-k attention-selected set of prior entries. We evaluate our Bottlenecked Transformer architecture on math reasoning benchmarks. Our model sees consistent performance gains over vanilla Transformers and pause-token augmented baselines, with gains of up to +6.6pp for selected tasks/backbones.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 36 of its 54 references that are in the map. First posted on arXiv 22 May 2025.
Builds on
36 of 54 references.
Closest ancestors · 3
Same direction, newest first
- 2025Token Assorted: Mixing Latent and Text Tokens for Improved Language Model Reasoning5 Feb
- 2024Deliberation in Latent Space via Differentiable Cache Augmentation23 Dec
- 2023Think before you speak: Training Language Models With Pause Tokens3 Oct
Other references · 33
- 2020Language Models are Few-Shot Learnerscited by 32,419
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
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- 2023Steering Llama 2 via Contrastive Activation Additioncited by 1,085
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- 2021Are NLP Models really able to Solve Simple Math Word Problems?cited by 878
- 2023H2O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Modelscited by 832
21 more
- 2024Training Large Language Models to Reason in a Continuous Latent Spacecited by 797
- 2019Compressive Transformers for Long-Range Sequence Modellingcited by 726
- 2022PAL: Program-aided Language Modelscited by 652
- 2017Opening the Black Box of Deep Neural Networks via Informationcited by 503
- 2025CODI: Compressing Chain-of-Thought into Continuous Space via Self-Distillationcited by 225
- 2022Recurrent Memory Transformercited by 203
- 2024OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Datacited by 200
- 2023TheoremQA: A Theorem-driven Question Answering datasetcited by 192
- 2024Let's Think Dot by Dot: Hidden Computation in Transformer Language Modelscited by 191
- 2024Model Tells You Where to Merge: Adaptive KV Cache Merging for LLMs on Long-Context Taskscited by 96
- 2023How Does Information Bottleneck Help Deep Learning?cited by 93
- 2024Improving Steering Vectors by Targeting Sparse Autoencoder Featurescited by 92
- 2020LogiQA: A Challenge Dataset for Machine Reading Comprehension with Logical Reasoningcited by 69
- 2024Human-inspired Episodic Memory for Infinite Context LLMscited by 62
- 2024Style Vectors for Steering Generative Large Language Modelcited by 56
- 2024Learning Iterative Reasoning through Energy Diffusioncited by 36
- 2025Interpretable Steering of Large Language Models with Feature Guided Activation Additionscited by 35
- 2025SAIF: A Sparse Autoencoder Framework for Interpreting and Steering Instruction Following of Language Modelscited by 34
- 2024TimeX++: Learning Time-Series Explanations with Information Bottleneckcited by 33
- 2023Information Bottleneck Analysis of Deep Neural Networks via Lossy Compressioncited by 19
- 2024TimeSieve: Extracting Temporal Dynamics through Information Bottleneckscited by 2
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