Share your thoughts, 1 month free Claude Pro on usSee more
WorkDL logo mark

Why Struggle with Continuous Latents? Interpretable Discrete Latent Reasoning via Rendered Compression

About

Large language models achieve high reasoning performance via explicit chain-of-thought and reinforcement learning, but require long output sequences and extended inference time. Latent reasoning reduces this cost by shifting computation into a latent space; however, continuous latent methods are hard to train, suffering from unstable and uninterpretable reasoning trajectories. We argue these issues stem from a misalignment between continuous-space reasoning and discrete symbolic supervision, as continuous states lack explicit anchors for step-by-step alignment. To resolve this, we propose \textbf{Discrete Latent Reasoning~(DLR)}, the first method that converts continuous latent states into explicit discrete tokens. Inspired by render-based compression, we render textual chains of thought into images, extract visual features, and construct a discrete latent vocabulary via clustering-based fine-tuning. Expanding the vocabulary and output head enables standard autoregressive modeling over both natural language and latent tokens, supporting pretraining alignment, SFT, and RL. Experiments on five reasoning benchmarks and two model series~(Qwen3-VL and LLaMA-3) confirm that \textbf{DLR} outperforms prior latent reasoning baselines with up to \textbf{20$\times$ compression}. Furthermore, the learned latent trajectories retain an interpretable semantic structure. Overall, discrete latent tokens provide a controllable and interpretable basis for efficient latent reasoning.

Shuochen Chang, Qingyang Liu, Shaobo Wang, Bingjie Gao, Qianli Ma, Haonan Zhao, Yibo Miao, Yulin Sun, Zelin Peng, Jiangtong Li, Li Niu• 2026

Related benchmarks

TaskDatasetResultRank
Mathematical ReasoningGSM-Hard
Accuracy19.3
64
Mathematical ReasoningAverage GSM8k-Aug, GSM-Hard, SVAMP, MultiArith
Accuracy63.2
42
Math ReasoningMultiArith
Accuracy94.4
29
Math ReasoningSVAMP
Accuracy67.7
25
Mathematical ReasoningMATH 500
Arithmetic Accuracy54
19
Arithmetic ReasoningGSM8k Aug
Accuracy63.3
16
Arithmetic ReasoningMultiArith
Accuracy98.3
16
Arithmetic ReasoningSVAMP
Accuracy72.7
16
Grade-school reasoningGSM8k Aug
Accuracy53.4
15
Showing 9 of 9 rows

Other info

Follow for update