GTS: Inference-Time Scaling of Latent Reasoning with a Learnable Gaussian Thought Sampler

Fuente: arXiv
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Auteurs principaux: Wang, Minghan, Bai, Ye, Vu, Thuy-Trang, Shareghi, Ehsan, Haffari, Gholamreza
Format: Preprint
Publié: 2026
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author Wang, Minghan
Bai, Ye
Vu, Thuy-Trang
Shareghi, Ehsan
Haffari, Gholamreza
author_facet Wang, Minghan
Bai, Ye
Vu, Thuy-Trang
Shareghi, Ehsan
Haffari, Gholamreza
contents Inference-time scaling (ITS) in latent reasoning models typically relies on heuristic perturbations, such as dropout or fixed Gaussian noise, to generate diverse candidate trajectories. However, we show that stronger perturbations do not necessarily yield better sampling quality: they often induce larger distribution shifts without producing more useful reasoning paths or better final decisions. A key limitation is that these perturbations inject stochasticity without defining an explicit conditional sampling distribution, making latent exploration difficult to control or optimize. To address this, we propose the Gaussian Thought Sampler (GTS), a lightweight module that reformulates latent exploration as sampling from a learned conditional distribution over continuous reasoning states. GTS predicts context-dependent perturbation distributions and is trained with GRPO-style policy optimization while keeping the backbone frozen, turning heuristic perturbation into an explicit probabilistic sampling policy. Experiments across multiple benchmarks and two latent reasoning architectures show that GTS yields more reliable inference-time scaling than heuristic baselines, suggesting that effective latent ITS requires better-controlled and optimizable sampling rather than simply amplifying stochasticity.
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id arxiv_https___arxiv_org_abs_2602_14077
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle GTS: Inference-Time Scaling of Latent Reasoning with a Learnable Gaussian Thought Sampler
Wang, Minghan
Bai, Ye
Vu, Thuy-Trang
Shareghi, Ehsan
Haffari, Gholamreza
Computation and Language
Machine Learning
Inference-time scaling (ITS) in latent reasoning models typically relies on heuristic perturbations, such as dropout or fixed Gaussian noise, to generate diverse candidate trajectories. However, we show that stronger perturbations do not necessarily yield better sampling quality: they often induce larger distribution shifts without producing more useful reasoning paths or better final decisions. A key limitation is that these perturbations inject stochasticity without defining an explicit conditional sampling distribution, making latent exploration difficult to control or optimize. To address this, we propose the Gaussian Thought Sampler (GTS), a lightweight module that reformulates latent exploration as sampling from a learned conditional distribution over continuous reasoning states. GTS predicts context-dependent perturbation distributions and is trained with GRPO-style policy optimization while keeping the backbone frozen, turning heuristic perturbation into an explicit probabilistic sampling policy. Experiments across multiple benchmarks and two latent reasoning architectures show that GTS yields more reliable inference-time scaling than heuristic baselines, suggesting that effective latent ITS requires better-controlled and optimizable sampling rather than simply amplifying stochasticity.
title GTS: Inference-Time Scaling of Latent Reasoning with a Learnable Gaussian Thought Sampler
topic Computation and Language
Machine Learning
url https://arxiv.org/abs/2602.14077