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This work considers polynomial optimization problems where the objective admits a low-rank canonical polyadic tensor decomposition. We introduce LRPOP (low-rank polynomial optimization), a new hierarchy of semidefinite programming…

Optimization and Control · Mathematics 2025-12-10 Llorenç Balada Gaggioli , Didier Henrion , Milan Korda

Reinforcement Learning from Human Feedback (RLHF) has emerged as a pivotal tool for aligning large language models (LLMs) with human preferences. Direct Preference Optimization (DPO), one of the most popular approaches, formulates RLHF as a…

Machine Learning · Computer Science 2024-10-10 Jiafan He , Huizhuo Yuan , Quanquan Gu

Social agents powered by large language models (LLMs) can simulate human social behaviors but fall short in handling complex social dialogues. Direct Preference Optimization (DPO) has proven effective in aligning LLM behavior with human…

Artificial Intelligence · Computer Science 2025-02-28 Aobo Kong , Wentao Ma , Shiwan Zhao , Yongbin Li , Yuchuan Wu , Ke Wang , Xiaoqian Liu , Qicheng Li , Yong Qin , Fei Huang

Recently, preference optimization methods such as DPO have significantly enhanced large language models (LLMs) in wide tasks including dialogue and question-answering. However, current methods fail to account for the varying difficulty…

Computation and Language · Computer Science 2024-12-31 Jingyuan Ma , Rui Li , Zheng Li , Lei Sha , Zhifang Sui

Direct preference optimization (DPO) has shown success in aligning diffusion models with human preference. Previous approaches typically assume a consistent preference label between final generations and noisy samples at intermediate steps,…

Machine Learning · Computer Science 2025-02-05 Jie Ren , Yuhang Zhang , Dongrui Liu , Xiaopeng Zhang , Qi Tian

Existing methods for vision-language task planning excel in short-horizon tasks but often fall short in complex, long-horizon planning within dynamic environments. These challenges primarily arise from the difficulty of effectively training…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Xiwen Liang , Min Lin , Weiqi Ruan , Rongtao Xu , Yuecheng Liu , Jiaqi Chen , Bingqian Lin , Yuzheng Zhuang , Xiaodan Liang

Recommender systems aim to predict personalized rankings based on user preference data. With the rise of Language Models (LMs), LM-based recommenders have been widely explored due to their extensive world knowledge and powerful reasoning…

Information Retrieval · Computer Science 2024-11-08 Yuxin Chen , Junfei Tan , An Zhang , Zhengyi Yang , Leheng Sheng , Enzhi Zhang , Xiang Wang , Tat-Seng Chua

Large Language Models (LLMs) have made significant strides in generating human-like responses, largely due to preference alignment techniques. However, these methods often assume unbiased human feedback, which is rarely the case in…

Machine Learning · Computer Science 2025-09-16 Amirabbas Afzali , Amirhossein Afsharrad , Seyed Shahabeddin Mousavi , Sanjay Lall

Software engineering presents complex, multi-step challenges for Large Language Models (LLMs), requiring reasoning over large codebases and coordinated tool use. The difficulty of these tasks is exemplified by benchmarks like SWE-bench,…

Artificial Intelligence · Computer Science 2026-02-05 Jiahao Yu , Zelei Cheng , Xian Wu , Xinyu Xing

Large Language Models (LLMs) as autonomous agents are increasingly tasked with solving complex, long-horizon problems. Aligning these agents via preference-based offline methods like Direct Preference Optimization (DPO) is a promising…

Machine Learning · Computer Science 2026-03-03 Heyang Gao , Zexu Sun , Erxue Min , Hengyi Cai , Shuaiqiang Wang , Dawei Yin , Xu Chen

Direct Preference Optimization (DPO) and its variants have become the de facto standards for aligning large language models (LLMs) with human preferences or specific goals. However, DPO requires high-quality preference data and suffers from…

Machine Learning · Computer Science 2024-11-12 Zhuotong Chen , Fang Liu , Jennifer Zhu , Wanyu Du , Yanjun Qi

Mobile parcel lockers (MPLs) have been recently introduced by urban logistics operators as a means to reduce traffic congestion and operational cost. Their capability to relocate their position during the day has the potential to improve…

Machine Learning · Computer Science 2024-12-25 Yubin Liu , Qiming Ye , Yuxiang Feng , Jose Escribano-Macias , Panagiotis Angeloudis

Preference learning algorithms (e.g., RLHF and DPO) are frequently used to steer LLMs to produce generations that are more preferred by humans, but our understanding of their inner workings is still limited. In this work, we study the…

Machine Learning · Computer Science 2024-11-01 Angelica Chen , Sadhika Malladi , Lily H. Zhang , Xinyi Chen , Qiuyi Zhang , Rajesh Ranganath , Kyunghyun Cho

Despite recent advances in Large Video Language Models (LVLMs), they still struggle with fine-grained temporal understanding, hallucinate, and often make simple mistakes on even simple video question-answering tasks, all of which pose…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Pritam Sarkar , Ali Etemad

Lagrangian Relaxation (LR) is a powerful technique for solving large-scale Mixed Integer Linear Programming (MILP), particularly those with decomposable structures, such as vehicle routing or unit commitment problems. By relaxing the…

Machine Learning · Statistics 2026-05-27 Tung Quoc Le , Anh Tuan Nguyen , Viet Anh Nguyen

We prove a general result demonstrating the power of Lagrangian relaxation in solving constrained maximization problems with arbitrary objective functions. This yields a unified approach for solving a wide class of {\em subset selection}…

Data Structures and Algorithms · Computer Science 2015-12-22 Ariel Kulik , Hadas Shachnai , Gal Tamir

Despite the efficacy of Direct Preference Optimization (DPO) in aligning Large Language Models (LLMs), reward hacking remains a pivotal challenge. This issue emerges when LLMs excessively reduce the probability of rejected completions to…

Computation and Language · Computer Science 2025-08-26 Chenxu Yang , Ruipeng Jia , Mingyu Zheng , Naibin Gu , Zheng Lin , Siyuan Chen , Weichong Yin , Hua Wu , Weiping Wang

The Student-Project Allocation problem with lecturer preferences over Students (SPA-S) comprises three sets of agents, namely students, projects and lecturers, where students have preferences over projects and lecturers have preferences…

Data Structures and Algorithms · Computer Science 2020-09-08 Frances Cooper , David Manlove

The problem of searching a polygonal region for an unpredictably moving intruder by a set of stationary guards, each carrying an orientable laser, is known as the Searchlight Scheduling Problem. Determining the computational complexity of…

Computational Geometry · Computer Science 2015-03-20 Giovanni Viglietta

Direct Preference Optimization (DPO) has emerged as an effective approach for mitigating hallucination in Multimodal Large Language Models (MLLMs). Although existing methods have achieved significant progress by utilizing vision-oriented…

Artificial Intelligence · Computer Science 2025-12-23 Wenqi Liu , Xuemeng Song , Jiaxi Li , Yinwei Wei , Na Zheng , Jianhua Yin , Liqiang Nie