Chain-of-Thought (CoT) prompting has become a widely adopted strategy for enhancing the reasoning capabilities of Large Language Models (LLMs). By decomposing problems into intermediate steps, explicit CoT improves accuracy across a variety of reasoning tasks. However, the token cost of explicit reasoning severely limits its scalability, especially when applied to long-horizon tasks or deployed under strict computational budgets.
Implicit CoT methods attempt to address this issue by replacing explicit intermediate steps with continuous latent representations. These approaches achieve higher token efficiency while retaining some of the benefits of step-wise reasoning. Despite this promise, a persistent performance gap remains: implicit CoT methods often underperform compared to explicit reasoning, especially as the number of latent tokens is scaled. Our analysis identifies a fundamental
latent instability problem
: as more implicit reasoning tokens are introduced, training frequently becomes unstable, with latent representations collapsing into homogeneous states that lack semantic diversity. This failure is largely due to the absence of fine-grained, step-level supervision in existing approaches.
To overcome this limitation, we introduce
SIM-CoT
, a plug-and-play training module designed to stabilize and enrich the latent reasoning space. SIM-CoT leverages an auxiliary decoder during training that aligns each implicit token with its corresponding explicit reasoning step. This step-level supervision ensures that latent states encode distinct and meaningful information. Importantly, the auxiliary decoder is removed during inference, meaning that SIM-CoT preserves the computational efficiency of implicit CoT without adding runtime overhead.
Empirical results demonstrate that SIM-CoT substantially improves both
in-domain accuracy
and
out-of-domain stability
. On smaller models such as GPT-2, SIM-CoT not only boosts implicit baselines like Coconut by +8.2% but also
surpasses explicit CoT by +2.1% while being 2.3× more token-efficient
. On larger models, including LLaMA-3.1 8B, SIM-CoT delivers consistent gains, improving CODI by +3.0% and significantly narrowing the performance gap with explicit reasoning. These findings highlight SIM-CoT as an effective and scalable solution for advancing implicit reasoning in LLMs.
SIM_COT-GPT2-Coconut
is a large implicit language model based on
GPT2
, fine-tuned with
SIM-CoT (Supervised Implicit Chain-of-Thought)
on top of the
Coconut latent reasoning framework
.
It is designed to improve ✨
implicit reasoning
and 🧮
arithmetic multi-step problem solving
across benchmarks such as
GSM8K, GSM-Hard, MultiArith, and SVAMP
.
📊 Experimental Results
We evaluate
SIM-CoT
across both
in-domain
(GSM8K-Aug) and
out-of-domain
(GSM-Hard, MultiArith, SVAMP) benchmarks, using
GPT-2
,
LLaMA-3.2 1B
,
LLaMA-3.2 3B
, and
LLaMA-3.1 8B
as backbones, applied to both
Coconut
and
CODI
frameworks.
Main results on GPT-2. We report accuracy % on in-domain (GSM8k-Aug) and out-of-domain (GSM-Hard, MultiArith, SVAMP) benchmarks. Our SIM-CoT is shown to provide accuracy gains on top of existing methods such as Coconut and CODI.
Main results on LLaMA 3.2 1B. We report accuracy % on in-domain (GSM8k-Aug) and out-of-domain (GSM-Hard, MultiArith, SVAMP) benchmarks. Our SIM-CoT builds on CODI to achieve a new SOTA in implicit reasoning while setting performance comparable to explicit CoT.
Main results on LLaMA 3.2 3B and 8B. We report accuracy % on in-domain (GSM8k-Aug) and out-of-domain (GSM-Hard, MultiArith, SVAMP) benchmarks.
The model integrates
implicit reasoning tokens
during training and inference.
Unlike standard explicit CoT models, SIM-CoT encourages the model to generate
latent structured thoughts
that are decoded only during training, while remaining implicit during inference.
🎯 Intended Uses
🔬
AI-related research
(reasoning, representation learning, interpretability)
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