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Modern large language models (LLMs) are often evaluated and deployed under a one-shot, greedy inference protocol, especially in professional settings that require deterministic behavior. This regime can systematically under-estimate a fixed…

Artificial Intelligence · Computer Science 2026-02-13 Xinhai Sun

Performing inference on large volumes of samples with large language models (LLMs) can be computationally and financially costly in industry and real-world use. We propose batch prompting, a simple yet effective prompting approach that…

Computation and Language · Computer Science 2023-10-25 Zhoujun Cheng , Jungo Kasai , Tao Yu

Inference-time computation has emerged as a promising scaling axis for improving large language model reasoning. However, despite yielding impressive performance, the optimal allocation of inference-time computation remains poorly…

Machine Learning · Computer Science 2026-01-12 Parsa Mirtaheri , Ezra Edelman , Samy Jelassi , Eran Malach , Enric Boix-Adsera

With this paper, we survey techniques for improving the predictive accuracy of pretrained large language models by allocating additional compute at inference time. In categorizing test-time scaling methods, we place special emphasis on how…

Computation and Language · Computer Science 2025-11-20 Zhuoyi Yang , Xu Guo , Tong Zhang , Huijuan Xu , Boyang Li

Scaling test-time compute brings substantial performance gains for large language models (LLMs). By sampling multiple answers and heuristically aggregate their answers (e.g., either through majority voting or using verifiers to rank the…

Computation and Language · Computer Science 2025-10-13 Jianing Qi , Xi Ye , Hao Tang , Zhigang Zhu , Eunsol Choi

While scaling training compute has led to remarkable improvements in large language models (LLMs), scaling inference compute has not yet yielded analogous gains. We hypothesize that a core missing component is a lack of diverse LLM outputs,…

Machine Learning · Computer Science 2024-10-22 Evan Wang , Federico Cassano , Catherine Wu , Yunfeng Bai , Will Song , Vaskar Nath , Ziwen Han , Sean Hendryx , Summer Yue , Hugh Zhang

We study empirical scaling laws for language model performance on the cross-entropy loss. The loss scales as a power-law with model size, dataset size, and the amount of compute used for training, with some trends spanning more than seven…

The scaling of inference computation has unlocked the potential of long-context large language models (LLMs) across diverse settings. For knowledge-intensive tasks, the increased compute is often allocated to incorporate more external…

Computation and Language · Computer Science 2025-03-04 Zhenrui Yue , Honglei Zhuang , Aijun Bai , Kai Hui , Rolf Jagerman , Hansi Zeng , Zhen Qin , Dong Wang , Xuanhui Wang , Michael Bendersky

Pretrained language models have shown superior performance on many natural language processing tasks, yet they still struggle at multi-step formal reasoning tasks like grade school math problems. One key challenge of finetuning them to…

Machine Learning · Computer Science 2023-02-20 Ansong Ni , Jeevana Priya Inala , Chenglong Wang , Oleksandr Polozov , Christopher Meek , Dragomir Radev , Jianfeng Gao

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…

Inference-time scaling has emerged as a powerful technique for enhancing the reasoning performance of Large Language Models (LLMs). However, existing approaches often rely on heuristic strategies for parallel sampling, lacking a principled…

Machine Learning · Computer Science 2025-12-22 Youkang Wang , Jian Wang , Rubing Chen , Xiao-Yong Wei

Test-time compute scaling has emerged as a powerful paradigm for enhancing mathematical reasoning in large language models (LLMs) by allocating additional computational resources during inference. However, current methods employ uniform…

Computation and Language · Computer Science 2025-12-02 Yang Xiao , Chunpu Xu , Ruifeng Yuan , Jiashuo Wang , Wenjie Li , Pengfei Liu

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

Automated synthesis of inductive invariants is an important problem in software verification. Once all the invariants have been specified, software verification reduces to checking of verification conditions. Although static analyses to…

Machine Learning · Computer Science 2020-07-17 Sahil Bhatia , Saswat Padhi , Nagarajan Natarajan , Rahul Sharma , Prateek Jain

Large language models (LLMs) have achieved significant performance gains via scaling up model sizes and/or data. However, recent evidence suggests diminishing returns from such approaches, motivating scaling the computation spent at…

Machine Learning · Computer Science 2025-08-15 Isha Puri , Shivchander Sudalairaj , Guangxuan Xu , Kai Xu , Akash Srivastava

We propose a novel scaling law for general-purpose decoder-only language models (LMs) trained on multilingual data, tackling the problem of balancing languages during multilingual pretraining. A primary challenge in studying multilingual…

Computation and Language · Computer Science 2024-12-05 Yifei He , Alon Benhaim , Barun Patra , Praneetha Vaddamanu , Sanchit Ahuja , Parul Chopra , Vishrav Chaudhary , Han Zhao , Xia Song

Small language models (SLMs) enable low-cost, private, on-device inference, but they often fail on problems that require specialized domain knowledge or multi-step reasoning. Existing approaches for improving reasoning either rely on scale…

Computation and Language · Computer Science 2026-01-08 Kenan Alkiek , David Jurgens , Vinod Vydiswaran

Scaling test-time compute via parallel sampling can substantially improve LLM reasoning, but is often limited by Best-of-N selection quality. Generative selection methods, such as GenSelect, address this bottleneck, yet strong selection…

For many machine learning problems, data is abundant and it may be prohibitive to make multiple passes through the full training set. In this context, we investigate strategies for dynamically increasing the effective sample size, when…

Machine Learning · Computer Science 2016-10-10 Hadi Daneshmand , Aurelien Lucchi , Thomas Hofmann

Generative retrieval reformulates retrieval as an autoregressive generation task, where large language models (LLMs) generate target documents directly from a query. As a novel paradigm, the mechanisms that underpin its performance and…

Information Retrieval · Computer Science 2025-06-10 Hongru Cai , Yongqi Li , Ruifeng Yuan , Wenjie Wang , Zhen Zhang , Wenjie Li , Tat-Seng Chua