Skip to content

Penelope: Localized Latent Recurrence for Efficient Structured Reasoning

Jul 2026 · arXiv.org · Vol abs/2607.25915 · 0 citations · 20 references
Computer Science

TL;DR

Penelope is introduced, an efficient latent-reasoning framework for pretrained decoder-only Transformers that localizes recurrent computation to a selected decoder interval and attains competitive accuracy relative to established latent-reasoning models while reducing measured inference latency.

Abstract

Complex structured reasoning tasks often require additional computation, yet current language models obtain it mainly by increasing parameter scale or by serializing intermediate steps as chain-of-thought (CoT) tokens. The former raises training and deployment costs, while the latter ties reasoning computation to autoregressive output length. We introduce Penelope, an efficient latent-reasoning framework for pretrained decoder-only Transformers that localizes recurrent computation to a selected decoder interval. The lower decoder prefix is evaluated once to construct a problem-conditioned boundary memory, which is then iteratively refined through time-modulated GRU dynamics and recurrent readout states before answer generation. A progressive CoT-to-latent curriculum transfers visible reasoning into this internal recurrent path, allowing additional computation to be allocated in latent space without repeatedly executing the complete decoder or generating a long intermediate trace. Experiments on open-source structured-reasoning benchmarks show that, at validation-selected latent budgets, Penelope attains competitive accuracy relative to established latent-reasoning models while reducing measured inference latency. These results show that latent refinement can be localized to a narrow decoder interval, reducing repeated full-decoder execution without generating a long visible reasoning trace and providing a practical accuracy-efficiency tradeoff for decoder-only Transformer models.

View source

Similar papers

Preprint Aug 2026

GradCuit: Credit-Assigned Gradient Flow Enables Robust and Interpretable Test-Time Latent Reasoning

GradCuit (gradient through circuit), which inserts optimizable latent states at a selected Transformer layer between the hidden representations of the prompt and the generated continuation, opens a new axis of robust and interpretable test-time scaling, where LLMs adapt how they reason rather than merely regenerate, sa...

Zhaoxin Yu, Qianli Shen, Hengli Li et al. · 0 citations
Jul 2026

LatentMT: Machine Translation with Latent Reasoning

LatentMT is introduced, the first systematic study of latent-reasoning LoopLMs for machine translation that adapts a small 2.6B-parameter backbone model with lightweight training and shows that hidden-representation differences shrink along the recurrent reasoning-step axis, supporting the observed saturation in perfor...

Wei-Rui Chen, Samar M. Magdy, Chiyu Zhang et al. · 0 citations
Preprint May 2026

MUX: Continuous Reasoning via Multiplexed Tokens

MUX, a simple method for high-bandwidth and compact reasoning based on distillation of discrete reasoning into continuous multiplexed tokens in a latent space, is proposed and suggests that lossless superposition as local learning targets constitutes a sufficient condition for achieving strong and efficient latent cont...

Ayhan Suleymanzade, Halil Alperen Gozeten, Michael M. Bronstein et al. · 1 citation
Jul 2026

TransMem: Transforming Hidden States into Memory for Large Language Models

TransMem is proposed, a lightweight inference-time parametric memory module that transforms sparse historical hidden states from a frozen LLM backbone into reusable memory representations and introduces evidence-conditioned self-distillation to learn transferable memory utilization rather than task-specific knowledge.

Haodong Lei, Junming Liu, Yirong Chen et al. · 0 citations
Preprint Aug 2026

ChainPrune: Evaluating and Reducing Redundancy in Long Chain-of-Thought Reasoning

This work proposes ChainPrune, a novel reasoning path semantic structural optimization method to efficiently and controllably synthesize self-generated high-quality training data and incorporates a DPO-based preference learning method combined with supervised loss, effectively mitigating false reward suppression.

Weihang Pan, Zhengxu Yu, Yuxiang Zhang et al. · 1 citation
Preprint Jul 2026

RL Post-Training Builds Compositional Reasoning Strategies

Pretraining ablations show that the emergence of compositional strategies is gated not by primitive exposure alone, but by whether pretraining organizes primitive competence into reduction procedures that RL can later compress.

Azwar Abdulsalam, Nishil Patel, Andrew M. Saxe · 0 citations

We use cookies to run the site and, with your consent, for analytics and to show ads. See our Cookie Policy.