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Many recent reasoning gains in large language models can be explained as distribution sharpening: biasing generation toward high-likelihood trajectories already supported by the pretrained model, rather than modifying its weights. A natural…

Machine Learning · Statistics 2026-03-24 Seyedarmin Azizi , Erfan Baghaei Potraghloo , Minoo Ahmadi , Souvik Kundu , Massoud Pedram

Frontier reasoning models have exhibited incredible capabilities across a wide array of disciplines, driven by posttraining large language models (LLMs) with reinforcement learning (RL). However, despite the widespread success of this…

Machine Learning · Computer Science 2025-10-17 Aayush Karan , Yilun Du

We introduce a principled probabilistic framework for reward-guided decoding in large language models, addressing the limitations of standard decoding methods that optimize token-level likelihood rather than sequence-level quality. Our…

Machine Learning · Computer Science 2026-04-21 Jelena Markovic-Voronov , Wenhui Zhu , Bo Long , Zhipeng Wang , Suyash Gupta , Kayhan Behdin , Bee-Chung Chen , Deepak Agarwal

Recent analyses question whether reinforcement learning (RL) is responsible for strong reasoning in large language models (LLMs). At the same time, distillation and inference-time sampling, including power sampling, have emerged as…

Machine Learning · Computer Science 2026-05-07 Akiyoshi Tomihari , Issei Sato

We present a scalable and effective exploration strategy based on Thompson sampling for reinforcement learning (RL). One of the key shortcomings of existing Thompson sampling algorithms is the need to perform a Gaussian approximation of the…

Machine Learning · Computer Science 2024-03-19 Haque Ishfaq , Qingfeng Lan , Pan Xu , A. Rupam Mahmood , Doina Precup , Anima Anandkumar , Kamyar Azizzadenesheli

While scaling laws for large language models (LLMs) during pre-training have been extensively studied, their behavior under reinforcement learning (RL) post-training remains largely unexplored. This paper presents a systematic empirical…

Sampling algorithms drive probabilistic machine learning, and recent years have seen an explosion in the diversity of tools for this task. However, the increasing sophistication of sampling algorithms is correlated with an increase in the…

Computation · Statistics 2025-07-02 Congye Wang , Matthew A. Fisher , Heishiro Kanagawa , Wilson Chen , Chris. J. Oates

Large language models (LLMs) solve problems more accurately and interpretably when instructed to work out the answer step by step using a ``chain-of-thought'' (CoT) prompt. One can also improve LLMs' performance on a specific task by…

Simulating sampling algorithms with people has proven a useful method for efficiently probing and understanding their mental representations. We propose that the same methods can be used to study the representations of Large Language Models…

Artificial Intelligence · Computer Science 2024-01-31 Jian-Qiao Zhu , Haijiang Yan , Thomas L. Griffiths

Large language models (LLMs) are routinely pre-trained on billions of tokens, only to start the process over again once new data becomes available. A much more efficient solution is to continually pre-train these models, saving significant…

Large Language Models (LLMs) have demonstrated remarkable progress in complex reasoning tasks through both post-training and test-time scaling laws. While prevalent test-time scaling approaches are often realized by using external reward…

Machine Learning · Computer Science 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

We propose FlowRL: matching the full reward distribution via flow balancing instead of maximizing rewards in large language model (LLM) reinforcement learning (RL). Recent advanced reasoning models adopt reward-maximizing methods (\eg, PPO…

The growing disparity between the exponential scaling of computational resources and the finite growth of high-quality text data now constrains conventional scaling approaches for large language models (LLMs). To address this challenge, we…

Model-based Reinforcement Learning (RL) is a popular learning paradigm due to its potential sample efficiency compared to model-free RL. However, existing empirical model-based RL approaches lack the ability to explore. This work studies a…

Machine Learning · Computer Science 2021-07-16 Yuda Song , Wen Sun

Recent advancements in reasoning-focused language models such as OpenAI's O1 and DeepSeek-R1 have shown that scaling test-time computation-through chain-of-thought reasoning and iterative exploration-can yield substantial improvements on…

Large Reasoning Models (LRMs) excel in structured tasks by emulating deliberate human reasoning but often suffer from overthinking, degrading performance and wasting resources. One possible baseline is to deploy both LLM and LRM, then route…

Computation and Language · Computer Science 2025-10-09 Jaeseong Lee , Dayoung Kwon , seung-won hwang

Inference-time sampling can elicit strong reasoning abilities from language models without additional training. Existing power-sampling methods do so by sharpening the distribution over full generated outputs, favoring completions that are…

Machine Learning · Computer Science 2026-05-28 Aleksei Arzhantsev , Otmane Sakhi , Nicolas Chopin

Post-training language models (LMs) with reinforcement learning (RL) can enhance their complex reasoning capabilities without supervised fine-tuning, as demonstrated by DeepSeek-R1-Zero. However, effectively utilizing RL for LMs requires…

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

Reinforcement Learning (RL) serves as a potent paradigm for enhancing reasoning capabilities in Large Language Models (LLMs), yet standard outcome-based approaches often suffer from reward sparsity and inefficient credit assignment. In this…

Artificial Intelligence · Computer Science 2026-02-03 Xiangwei Wang , Wei Wang , Ken Chen , Nanduni Nimalsiri , Saman Halgamuge
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