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Prompt optimization has often been framed as a discrete search problem to find high-performing and robust instructions for an LLM. However, the search result might not make it transparent why and where specific prompt changes lead to…

Computation and Language · Computer Science 2026-05-28 Jiahui Li , Yarik Menchaca Resendiz , Sean Papay , Roman Klinger

Large Language Models (LLMs) have demonstrated strong capabilities in natural language understanding and reasoning. However, their ability to perform exact, deterministic computation remains unclear. In this work, we systematically evaluate…

Artificial Intelligence · Computer Science 2026-05-08 Hongkun Yu

Recent advancements in large language models have showcased their remarkable generalizability across various domains. However, their reasoning abilities still have significant room for improvement, especially when confronted with scenarios…

Computation and Language · Computer Science 2024-03-27 Xufeng Zhao , Mengdi Li , Wenhao Lu , Cornelius Weber , Jae Hee Lee , Kun Chu , Stefan Wermter

The main feature of large-scale multi-objective optimization problems (LSMOP) is to optimize multiple conflicting objectives while considering thousands of decision variables at the same time. An efficient LSMOP algorithm should have the…

Neural and Evolutionary Computing · Computer Science 2021-08-10 Haokai Hong , Kai Ye , Min Jiang , Donglin Cao , Kay Chen Tan

This paper aims to predict optimal solutions for combinatorial optimization problems (COPs) via machine learning (ML). To find high-quality solutions efficiently, existing work uses a ML prediction of the optimal solution to guide heuristic…

Optimization and Control · Mathematics 2023-01-30 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Andrew Eberhard , Andreas Ernst

Recent Large Language Models (LLMs) have demonstrated impressive capabilities at tasks that require human intelligence and are a significant step towards human-like artificial intelligence (AI). Yet the performance of LLMs at reasoning…

Artificial Intelligence · Computer Science 2024-07-02 Mert Esencan , Tarun Advaith Kumar , Ata Akbari Asanjan , P. Aaron Lott , Masoud Mohseni , Can Unlu , Davide Venturelli , Alan Ho

Prompt-based pre-trained language models (PLMs) paradigm have succeeded substantially in few-shot natural language processing (NLP) tasks. However, prior discrete prompt optimization methods require expert knowledge to design the base…

Machine Learning · Computer Science 2024-01-17 Chengzhengxu Li , Xiaoming Liu , Yichen Wang , Duyi Li , Yu Lan , Chao Shen

Process Reward Models (PRMs) emerge as a promising approach for process supervision in mathematical reasoning of Large Language Models (LLMs), which aim to identify and mitigate intermediate errors in the reasoning processes. However, the…

Computation and Language · Computer Science 2025-06-06 Zhenru Zhang , Chujie Zheng , Yangzhen Wu , Beichen Zhang , Runji Lin , Bowen Yu , Dayiheng Liu , Jingren Zhou , Junyang Lin

Multimodal Large Language Models (MLLMs) excel in solving text-based mathematical problems, but they struggle with mathematical diagrams since they are primarily trained on natural scene images. For humans, visual aids generally enhance…

Computation and Language · Computer Science 2024-09-26 Wenwen Zhuang , Xin Huang , Xiantao Zhang , Jin Zeng

Contextual optimization, also known as predict-then-optimize or prescriptive analytics, considers an optimization problem with the presence of covariates (context or side information). The goal is to learn a prediction model (from the…

Optimization and Control · Mathematics 2024-05-13 Chunlin Sun , Linyu Liu , Xiaocheng Li

Augmented Language Models (ALMs) blend the reasoning capabilities of Large Language Models (LLMs) with tools that allow for knowledge retrieval and action execution. Existing ALM systems trigger LLM thought processes while pulling…

Computation and Language · Computer Science 2023-05-31 Binfeng Xu , Zhiyuan Peng , Bowen Lei , Subhabrata Mukherjee , Yuchen Liu , Dongkuan Xu

Large Language Models (LLMs) have demonstrated strong capabilities in complex reasoning tasks, while recent prompting strategies such as Chain-of-Thought (CoT) have further elevated their performance in handling complex logical problems.…

Reasoning capabilities in large language models (LLMs) have generally advanced significantly. However, it is still challenging for existing reasoning-based LLMs to perform effective decision-making abilities in multi-agent environments, due…

Computation and Language · Computer Science 2026-04-17 Jiashuo Wang , Jiawen Duan , Jian Wang , Kaitao Song , Chunpu Xu , Johnny K. W. Ho , Fenggang Yu , Wenjie Li , Johan F. Hoorn

Combinatorial optimization (CO) is essential for improving efficiency and performance in engineering applications. As complexity increases with larger problem sizes and more intricate dependencies, identifying the optimal solution become…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 Shuo Jiang , Min Xie , Jianxi Luo

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

Modern large language models (LLMs) have demonstrated impressive capabilities at sophisticated tasks, often through step-by-step reasoning similar to humans. This is made possible by their strong few and zero-shot abilities -- they can…

Computation and Language · Computer Science 2023-05-24 Xingchen Wan , Ruoxi Sun , Hanjun Dai , Sercan O. Arik , Tomas Pfister

As LLMs reduce English-centric bias, a surprising trend emerges: non-English responses sometimes outperform English on reasoning tasks. We hypothesize that language functions as a latent variable that structurally modulates the model's…

Computation and Language · Computer Science 2026-05-05 Linjuan Wu , Haoran Wei , Jialong Tang , Shuang Luo , Baosong Yang , Yongliang Shen , Weiming Lu

In neural combinatorial optimization (CO), reinforcement learning (RL) can turn a deep neural net into a fast, powerful heuristic solver of NP-hard problems. This approach has a great potential in practical applications because it allows…

Machine Learning · Computer Science 2021-07-14 Yeong-Dae Kwon , Jinho Choo , Byoungjip Kim , Iljoo Yoon , Youngjune Gwon , Seungjai Min

Large language models (LLMs) typically operate in a question-answering paradigm, where the quality of the input prompt critically affects the response. Automated Prompt Optimization (APO) aims to overcome the cognitive biases of manually…

Computation and Language · Computer Science 2025-11-13 Jian Zhang , Zhangqi Wang , Haiping Zhu , Kangda Cheng , Kai He , Bo Li , Qika Lin , Jun Liu , Erik Cambria

We introduce Meta-Reasoning Prompting (MRP), a novel and efficient system prompting method for large language models (LLMs) inspired by human meta-reasoning. Traditional in-context learning-based reasoning techniques, such as…

Computation and Language · Computer Science 2024-06-18 Peizhong Gao , Ao Xie , Shaoguang Mao , Wenshan Wu , Yan Xia , Haipeng Mi , Furu Wei
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