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Two-stage stochastic programs become computationally challenging when the number of scenarios representing parameter uncertainties grows. Motivated by this, we propose the TULIP-algorithm ("Two-step warm start method Used for solving…

Optimization and Control · Mathematics 2024-12-16 Berend Markhorst , Markus Leitner , Joost Berkhout , Alessandro Zocca , Rob van der Mei

An emerging line of work has shown that machine-learned predictions are useful to warm-start algorithms for discrete optimization problems, such as bipartite matching. Previous studies have shown time complexity bounds proportional to some…

Machine Learning · Computer Science 2023-02-03 Shinsaku Sakaue , Taihei Oki

Large language models (LLMs) have shown remarkable performance in reasoning tasks but face limitations in mathematical and complex logical reasoning. Existing methods to improve LLMs' logical capabilities either involve traceable or…

Computation and Language · Computer Science 2025-05-27 Jiahao Yuan , Dehui Du , Hao Zhang , Zixiang Di , Usman Naseem

Large language models (LLMs) excel at complex tasks thanks to advances in their reasoning abilities. However, existing methods overlook the trade-off between reasoning effectiveness and efficiency, often encouraging unnecessarily long…

Machine Learning · Computer Science 2025-10-16 Jingyao Wang , Wenwen Qiang , Zeen Song , Changwen Zheng , Hui Xiong

The semantic capabilities of large language models (LLMs) have the potential to enable rich analytics and reasoning over vast knowledge corpora. Unfortunately, existing systems either empirically optimize expensive LLM-powered operations…

Databases · Computer Science 2025-03-04 Liana Patel , Siddharth Jha , Melissa Pan , Harshit Gupta , Parth Asawa , Carlos Guestrin , Matei Zaharia

We investigate the usage of Large Language Model (LLM) in collecting high-quality data to warm-start Reinforcement Learning (RL) algorithms for learning in some classical Markov Decision Process (MDP) environments. In this work, we focus on…

Machine Learning · Computer Science 2025-05-19 Thang Duong , Minglai Yang , Chicheng Zhang

Large Language Models (LLMs) have demonstrated remarkable performance across various natural language processing (NLP) tasks. However, their deployment is challenging due to the substantial computational resources required. Power-of-two…

Computation and Language · Computer Science 2025-07-17 Xinyu Wang , Vahid Partovi Nia , Peng Lu , Jerry Huang , Xiao-Wen Chang , Boxing Chen , Yufei Cui

Looped computation shows promise in improving the reasoning-oriented performance of LLMs by scaling test-time compute. However, existing approaches typically require either training recurrent models from scratch or applying disruptive…

Machine Learning · Computer Science 2026-05-13 Taekhyun Park , Yongjae Lee , Dohee Kim , Hyerim Bae

Gradient-free prompt optimization methods have made significant strides in enhancing the performance of closed-source Large Language Models (LLMs) across a wide range of tasks. However, existing approaches make light of the importance of…

Computation and Language · Computer Science 2024-10-03 Muchen Yang , Moxin Li , Yongle Li , Zijun Chen , Chongming Gao , Junqi Zhang , Yangyang Li , Fuli Feng

Large language models (LLMs) offer substantial promise for text classification in political science, yet their effectiveness often depends on high-quality prompts and exemplars. To address this, we introduce a three-stage framework that…

Computation and Language · Computer Science 2025-04-08 Menglin Liu , Ge Shi

Recent advances in large language models (LLMs) have greatly improved their reasoning and decision-making abilities when deployed as agents. Richer reasoning, however, often comes at the cost of longer chain of thought (CoT), hampering…

Computation and Language · Computer Science 2025-11-20 Sirui Chen , Mengshi Zhao , Lei Xu , Yuying Zhao , Beier Zhu , Hanwang Zhang , Shengjie Zhao , Chaochao Lu

Augmenting algorithms with learned predictions is a promising approach for going beyond worst-case bounds. Dinitz, Im, Lavastida, Moseley, and Vassilvitskii~(2021) have demonstrated that a warm start with learned dual solutions can improve…

Machine Learning · Computer Science 2022-05-23 Shinsaku Sakaue , Taihei Oki

Few-shot prompting is a surprisingly powerful way to use Large Language Models (LLMs) to solve various tasks. However, this approach struggles as the task complexity increases or when the individual reasoning steps of the task themselves…

Computation and Language · Computer Science 2023-04-13 Tushar Khot , Harsh Trivedi , Matthew Finlayson , Yao Fu , Kyle Richardson , Peter Clark , Ashish Sabharwal

In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun

The importance of an adequate inner loop starting point (as opposed to a sufficient inner loop stopping rule) is discussed in the context of a numerical optimization algorithm consisting of nested primal-dual proximal-gradient iterations.…

Optimization and Control · Mathematics 2018-06-21 Jixin Chen , Ignace Loris

A recent line of research investigates how algorithms can be augmented with machine-learned predictions to overcome worst case lower bounds. This area has revealed interesting algorithmic insights into problems, with particular success in…

Machine Learning · Computer Science 2021-07-22 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

Nowadays, Large Language Models (LLMs) have been gradually employed to solve complex tasks. To face the challenge, task decomposition has become an effective way, which proposes to divide a complex task into multiple simpler subtasks and…

Computation and Language · Computer Science 2025-04-14 Yiliu Sun , Yanfang Zhang , Zicheng Zhao , Sheng Wan , Dacheng Tao , Chen Gong

Large language models (LLMs) exhibit exceptional performance across a wide range of tasks; however, their token-by-token autoregressive generation process significantly hinders inference speed. Speculative decoding presents a promising…

Computation and Language · Computer Science 2025-03-04 Kai Lv , Honglin Guo , Qipeng Guo , Xipeng Qiu

The shift toward interacting with frozen, "black-box" Large Language Models (LLMs) has transformed prompt engineering from a heuristic exercise into a critical optimization challenge. We propose a Reinforcement Learning (RL) framework for…

Artificial Intelligence · Computer Science 2026-05-15 Krishna Sayana , Ketan Todi , Ambarish Jash

The unit commitment problem is an important optimization problem in the energy industry used to compute the most economical operating schedules of power plants. Typically, this problem has to be solved repeatedly with different data but…

Optimization and Control · Mathematics 2023-12-18 Nagisa Sugishita , Andreas Grothey , Ken McKinnon
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