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Preference alignment methods are increasingly critical for steering large language models (LLMs) to generate outputs consistent with human values. While recent approaches often rely on synthetic data generated by LLMs for scalability and…

Computation and Language · Computer Science 2025-10-21 Mingye Zhu , Yi Liu , Zheren Fu , Yongdong Zhang , Zhendong Mao

Since the advent of large language models (LLMs), prompt engineering has been a crucial step for eliciting desired responses for various Natural Language Processing (NLP) tasks. However, prompt engineering remains an impediment for end…

Fine-tuning large language models (LLMs) with limited data poses a practical challenge in low-resource languages, specialized domains, and constrained deployment settings. While pre-trained LLMs provide strong foundations, effective…

Computation and Language · Computer Science 2025-10-29 Marton Szep , Daniel Rueckert , Rüdiger von Eisenhart-Rothe , Florian Hinterwimmer

Training large language models (LLMs) encounters challenges in GPU memory consumption due to the high memory requirements of model states. The widely used Zero Redundancy Optimizer (ZeRO) addresses this issue through strategic sharding but…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-14 Qiaoling Chen , Qinghao Hu , Guoteng Wang , Yingtong Xiong , Ting Huang , Xun Chen , Yang Gao , Hang Yan , Yonggang Wen , Tianwei Zhang , Peng Sun

Large language models (LLMs) are limited by substantial computational cost. We introduce a "computational economics" framework that treats an LLM as an internal economy of resource-constrained agents (attention heads and neuron blocks) that…

Computation and Language · Computer Science 2025-12-30 Sandeep Reddy , Kabir Khan , Rohit Patil , Ananya Chakraborty , Faizan A. Khan , Swati Kulkarni , Arjun Verma , Neha Singh

Mode connectivity has been widely studied, yet the role of the optimizer remains underexplored. We revisit it through optimizer-induced implicit regularization, asking how connectivity behaves when restricted to solutions constrained by a…

Artificial Intelligence · Computer Science 2026-05-12 Fangzhao Zhang , Sungyoon Kim , Erica Zhang , Yiqi Jiang , Mert Pilanci

Learning to Optimize (L2O) is a subfield of machine learning (ML) in which ML models are trained to solve parametric optimization problems. The general goal is to learn a fast approximator of solutions to constrained optimization problems,…

Optimization and Control · Mathematics 2025-12-04 James Kotary , Himanshu Sharma , Ethan King , Draguna Vrabie , Ferdinando Fioretto , Jan Drgona

Reinforcement learning (RL) has emerged as an effective approach for enhancing the reasoning capabilities of large language models (LLMs), especially in scenarios where supervised fine-tuning (SFT) falls short due to limited…

Machine Learning · Computer Science 2026-04-15 Jian Xiong , Jingbo Zhou , Jingyong Ye , Qiang Huang , Dejing Dou

Long-context efficiency has recently become a trending topic in serving large language models (LLMs). And mixture of depths (MoD) is proposed as a perfect fit to bring down both latency and memory. In this paper, however, we discover that…

Computation and Language · Computer Science 2024-10-21 Chen Zhang , Meizhi Zhong , Qimeng Wang , Xuantao Lu , Zheyu Ye , Chengqiang Lu , Yan Gao , Yao Hu , Kehai Chen , Min Zhang , Dawei Song

Can modifying the training data distribution guide optimizers toward solutions with improved generalization when training large language models (LLMs)? In this work, we theoretically analyze an in-context linear regression model with…

Machine Learning · Computer Science 2026-02-03 Tushaar Gangavarapu , Jiping Li , Christopher Vattheuer , Zhangyang Wang , Baharan Mirzasoleiman

Despite the significant progress in multimodal large language models (MLLMs), their high computational cost remains a barrier to real-world deployment. Inspired by the mixture of depths (MoDs) in natural language processing, we aim to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Yaxin Luo , Gen Luo , Jiayi Ji , Yiyi Zhou , Xiaoshuai Sun , Zhiqiang Shen , Rongrong Ji

Training multimodal large language models (MLLMs) is challenged by both model and data heterogeneity. Existing systems redesign the training pipeline to address these challenges, but remain bound by a Pareto frontier between compute and…

Machine Learning · Computer Science 2026-05-26 Zili Zhang , Chengxu Yang , Shenglong Zhang , Chenyu Wang , Yufan Zhang , Tuo Dai , Zhouyang Li , Yuhong Ge , Chao Jin , Xin Jin , Yuliang Liu

This work develops an LLM-based optimization framework ensuring strict constraint satisfaction in network optimization. While LLMs possess contextual reasoning capabilities, existing approaches often fail to enforce constraints, causing…

Networking and Internet Architecture · Computer Science 2025-09-10 Youngjin Song , Wookjin Lee , Hong Ki Kim , Sang Hyun Lee

Optimization on manifolds is a rapidly developing branch of nonlinear optimization. Its focus is on problems where the smooth geometry of the search space can be leveraged to design efficient numerical algorithms. In particular,…

Mathematical Software · Computer Science 2016-01-07 Nicolas Boumal , Bamdev Mishra , P. -A. Absil , Rodolphe Sepulchre

The training of large language models (LLMs) is expensive. In this paper, we study data-efficient approaches for pre-training LLMs, i.e., techniques that aim to optimize the Pareto frontier of model quality and training resource/data…

Recently, a new optimization method based on the linear minimization oracle (LMO), called Muon, has been attracting increasing attention since it can train neural networks faster than existing adaptive optimization methods, such as Adam. In…

Machine Learning · Computer Science 2025-10-01 Yuki Takezawa , Anastasia Koloskova , Xiaowen Jiang , Sebastian U. Stich

Large Language Models (LLMs) have achieved remarkable success across a wide range of natural language tasks, and recent efforts have sought to extend their capabilities to multimodal domains and resource-constrained environments. However,…

Machine Learning · Computer Science 2025-05-26 Yun-Da Tsai

Large language models (LLMs) demonstrate remarkable performance, and improving their pre-training process appears to be key to enhancing their capabilities further. Based on the documented success of Adam, learning rate decay, and weight…

Machine Learning · Computer Science 2025-01-22 Yizhou Liu , Ziming Liu , Jeff Gore

How can Large Language Models (LLMs) be aligned with human intentions and values? A typical solution is to gather human preference on model outputs and finetune the LLMs accordingly while ensuring that updates do not deviate too far from a…

Computation and Language · Computer Science 2024-05-28 Hung Le , Quan Tran , Dung Nguyen , Kien Do , Saloni Mittal , Kelechi Ogueji , Svetha Venkatesh

Sparse Mixture-of-Experts (MoE) have been widely adopted in recent large language models since it can efficiently scale up the model capability without increasing the inference cost. However, evaluations on broad downstream tasks reveal a…

Machine Learning · Computer Science 2025-11-13 Zhongyang Li , Ziyue Li , Tianyi Zhou