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Large language models (LLMs) have exhibited their problem-solving abilities in mathematical reasoning. Solving realistic optimization (OPT) problems in application scenarios requires advanced and applied mathematics ability. However,…

Machine Learning · Computer Science 2025-06-05 Zhicheng Yang , Yiwei Wang , Yinya Huang , Zhijiang Guo , Wei Shi , Xiongwei Han , Liang Feng , Linqi Song , Xiaodan Liang , Jing Tang

Leveraging Large Language Models (LLMs) to automatically formulate and solve optimization problems from natural language has emerged as an efficient paradigm for automated optimization. However, existing methods still exhibit limited…

Artificial Intelligence · Computer Science 2026-05-29 Haochen Yang , Ke Zhao , Mengyuan Ma , Xingyu Lu , Xiangfeng Wang , Hong Qian

Scaling inference compute in large language models (LLMs) through repeated sampling consistently increases the coverage (fraction of problems solved) as the number of samples increases. We conjecture that this observed improvement is…

Computation and Language · Computer Science 2024-10-22 Gal Yona , Or Honovich , Omer Levy , Roee Aharoni

Large language models (LLMs) benefit from test-time scaling but are often hampered by high inference latency. Speculative decoding is a natural way to accelerate the scaling process; however, scaling along both the parallel and sequential…

Best-of-N selection is a key technique for improving the reasoning performance of Large Language Models (LLMs) through increased test-time computation. Current state-of-the-art methods often employ computationally intensive reward models…

Computation and Language · Computer Science 2025-12-15 Zhewei Kang , Xuandong Zhao , Dawn Song

Large language model (LLM) scaling inference is key to unlocking greater performance, and leveraging diversity has proven an effective way to enhance it. Motivated by the observed relationship between solution accuracy and meaningful…

Machine Learning · Computer Science 2025-12-22 Tianchun Wang , Zichuan Liu , Yuanzhou Chen , Jonathan Light , Weiyang Liu , Haifeng Chen , Xiang Zhang , Wei Cheng

A significant hurdle for analyzing large sample data is the lack of effective statistical computing and inference methods. An emerging powerful approach for analyzing large sample data is subsampling, by which one takes a random subsample…

Methodology · Statistics 2015-11-24 Rong Zhu , Ping Ma , Michael W. Mahoney , Bin Yu

Logical reasoning is a critical benchmark for evaluating the capabilities of large language models (LLMs), as it reflects their ability to derive valid conclusions from given premises. While the combination of test-time scaling with…

Computation and Language · Computer Science 2025-08-28 Ramya Keerthy Thatikonda , Wray Buntine , Ehsan Shareghi

We study the problem of optimizing Large Language Model (LLM) inference scheduling to minimize total latency. LLM inference is an online and multi-task service process and also heavily energy consuming by which a pre-trained LLM processes…

Machine Learning · Computer Science 2025-09-03 Zixi Chen , Yinyu Ye , Zijie Zhou

Parameter-shared pre-trained language models (PLMs) have emerged as a successful approach in resource-constrained environments, enabling substantial reductions in model storage and memory costs without significant performance compromise.…

Computation and Language · Computer Science 2023-10-20 Weize Chen , Xiaoyue Xu , Xu Han , Yankai Lin , Ruobing Xie , Zhiyuan Liu , Maosong Sun , Jie Zhou

Recent years have seen significant advancements in foundation models through generative pre-training, yet algorithmic innovation in this space has largely stagnated around autoregressive models for discrete signals and diffusion models for…

Machine Learning · Computer Science 2025-03-12 Jiaming Song , Linqi Zhou

Reinforcement learning (RL) has been widely adopted in post-training for large language models (LLMs) at scale. Recently, the incentivization of reasoning capabilities in LLMs from RL indicates that $\textit{proper learning methods could…

Computation and Language · Computer Science 2025-09-26 Zijun Liu , Peiyi Wang , Runxin Xu , Shirong Ma , Chong Ruan , Peng Li , Yang Liu , Yu Wu

Inference-time computation is a powerful paradigm to enhance the performance of large language models (LLMs), with Best-of-N sampling being a widely used technique. However, this method is computationally expensive, requiring both (1) an…

Computation and Language · Computer Science 2024-10-04 Rohin Manvi , Anikait Singh , Stefano Ermon

Test-time scaling (TTS) has recently emerged as a promising direction to exploit the hidden reasoning capabilities of pre-trained large language models (LLMs). However, existing scaling methods narrowly focus on the compute-optimal…

Performance · Computer Science 2025-09-25 Youpeng Zhao , Jinpeng LV , Di Wu , Jun Wang , Christopher Gooley

Generative reward models with parallel sampling have enabled effective test-time scaling for reasoning tasks. Current approaches employ pointwise scoring of individual solutions or pairwise comparisons. However, pointwise methods…

Machine Learning · Computer Science 2025-07-25 Shubham Toshniwal , Ivan Sorokin , Aleksander Ficek , Ivan Moshkov , Igor Gitman

The performance gains of LLMs have historically been driven by scaling up model size and training data. However, the rapidly diminishing availability of high-quality training data is introducing a fundamental bottleneck, shifting the focus…

Computation and Language · Computer Science 2025-10-14 Zhichao Wang , Cheng Wan , Dong Nie

Recent advances in reasoning with large language models (LLMs) have demonstrated strong performance on complex mathematical tasks, including combinatorial optimization. Techniques such as Chain-of-Thought and In-Context Learning have…

Artificial Intelligence · Computer Science 2025-09-17 Marylou Fauchard , Florian Carichon , Margarida Carvalho , Golnoosh Farnadi

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

Test-time scaling has emerged as a promising direction for enhancing the reasoning capabilities of Large Language Models in last few years. In this work, we propose Population-Evolve, a training-free method inspired by Genetic Algorithms to…

Artificial Intelligence · Computer Science 2025-12-23 Yanzhi Zhang , Yitong Duan , Zhaoxi Zhang , Jiyan He , Shuxin Zheng

Inference-time methods that aggregate and prune multiple samples have emerged as a powerful paradigm for steering large language models, yet we lack any principled understanding of their accuracy-cost tradeoffs. In this paper, we introduce…

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