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The goal of the paper is to design sequential strategies which lead to efficient optimization of an unknown function under the only assumption that it has a finite Lipschitz constant. We first identify sufficient conditions for the…

机器学习 · 统计学 2017-06-19 Cédric Malherbe , Nicolas Vayatis

Recent alignment methods based on Direct Preference Optimization (DPO) reformulate preference learning as supervised optimization over pairwise comparisons, offering improved efficiency and stability over reinforcement learning from human…

机器学习 · 计算机科学 2026-01-22 Yuhui Sun , Xiyao Wang , Zixi Li , YiTian Ding , Tianyang Ling , Jialuo Chen , Tianyi Yu , Zhenlong Yuan , Jinman Zhao

Bayesian optimization and Lipschitz optimization have developed alternative techniques for optimizing black-box functions. They each exploit a different form of prior about the function. In this work, we explore strategies to combine these…

机器学习 · 计算机科学 2020-07-29 Mohamed Osama Ahmed , Sharan Vaswani , Mark Schmidt

In this work, we present a new deterministic partition-based global optimization algorithm, HALO (Hybrid Adaptive Lipschitzian Optimization), which uses estimates of the local Lipschitz constants associated with different sub-regions of the…

最优化与控制 · 数学 2026-03-18 Danny D'Agostino

Aligning language models (LMs) with curated human feedback is critical to control their behaviors in real-world applications. Several recent policy optimization methods, such as DPO and SLiC, serve as promising alternatives to the…

Direct Alignment Algorithms (DAAs), such as Direct Preference Optimisation (DPO) and Identity Preference Optimisation (IPO), have emerged as alternatives to online Reinforcement Learning from Human Feedback (RLHF) algorithms such as…

计算与语言 · 计算机科学 2024-10-21 Zhengyan Shi , Sander Land , Acyr Locatelli , Matthieu Geist , Max Bartolo

This paper deals with two kinds of the one-dimensional global optimization problems over a closed finite interval: (i) the objective function $f(x)$ satisfies the Lipschitz condition with a constant $L$; (ii) the first derivative of $f(x)$…

最优化与控制 · 数学 2013-07-15 Daniela Lera , Yaroslav D. Sergeyev

Evaluating preference optimization (PO) algorithms on LLM alignment is a challenging task that presents prohibitive costs, noise, and several variables like model size and hyper-parameters. In this work, we show that it is possible to gain…

机器学习 · 计算机科学 2026-01-09 Carlo Alfano , Silvia Sapora , Jakob Nicolaus Foerster , Patrick Rebeschini , Yee Whye Teh

Despite the remarkable performance of Large Language Models (LLMs) in natural language processing tasks, they still struggle with generating logically sound arguments, resulting in potential risks such as spreading misinformation. To…

计算与语言 · 计算机科学 2025-05-06 Luca Mouchel , Debjit Paul , Shaobo Cui , Robert West , Antoine Bosselut , Boi Faltings

Efficient preference optimization algorithms such as Direct Preference Optimization (DPO) have become a popular approach in aligning large language models (LLMs) with human preferences. These algorithms implicitly treat the LLM as a reward…

计算与语言 · 计算机科学 2025-07-29 Tong Liu , Xiao Yu , Wenxuan Zhou , Jindong Gu , Volker Tresp

When the quality of naive prompts is carefully optimized by human experts, the task performance of large language models (LLMs) can be significantly improved. However, expert-based prompt optimizations are expensive. Herein, some works have…

计算与语言 · 计算机科学 2024-12-10 Junru Lu , Siyu An , Min Zhang , Yulan He , Di Yin , Xing Sun

Recently, numerous preference optimization algorithms have been introduced as extensions to the Direct Preference Optimization (DPO) family. While these methods have successfully aligned models with human preferences, there is a lack of…

人工智能 · 计算机科学 2025-03-04 Hanyang Zhao , Genta Indra Winata , Anirban Das , Shi-Xiong Zhang , David D. Yao , Wenpin Tang , Sambit Sahu

We propose a new algorithm for solving multistage stochastic mixed integer linear programming (MILP) problems with complete continuous recourse. In a similar way to cutting plane methods, we construct nonlinear Lipschitz cuts to build lower…

最优化与控制 · 数学 2019-05-24 Shabbir Ahmed , Filipe Goulart Cabral , Bernardo Freitas Paulo da Costa

Poisson likelihood models have been prevalently used in imaging, social networks, and time series analysis. We propose fast, simple, theoretically-grounded, and versatile, optimization algorithms for Poisson likelihood modeling. The Poisson…

机器学习 · 计算机科学 2016-08-04 Niao He , Zaid Harchaoui , Yichen Wang , Le Song

Preference optimization methods typically begin training with a well-trained SFT model as a reference model. In RLHF and DPO, a regularization term is used during the preference optimization process to prevent the policy model from…

计算与语言 · 计算机科学 2024-09-30 Cheolhun Jang

Factor-revealing linear programs (LPs) and policy-revealing LPs arise in various contexts of algorithm design and analysis. They are commonly used techniques for analyzing the performance of approximation and online algorithms, especially…

数据结构与算法 · 计算机科学 2025-03-20 Pan Xu

Polyhedral compilers can perform complex loop optimizations that improve parallelism and cache behaviour of loops in the input program. These transformations result in significant performance gains on modern processors which have large…

分布式、并行与集群计算 · 计算机科学 2018-03-29 Aravind Acharya , Uday Bondhugula , Albert Cohen

DPO is an effective preference optimization algorithm. However, the DPO-tuned models tend to overfit on the dispreferred samples, manifested as overly long generations lacking diversity. While recent regularization approaches have…

计算与语言 · 计算机科学 2025-08-26 Chenxu Yang , Ruipeng Jia , Naibin Gu , Zheng Lin , Siyuan Chen , Chao Pang , Weichong Yin , Yu Sun , Hua Wu , Weiping Wang

Preference optimization methods such as DPO align large language models (LLMs) using paired comparisons, but their effectiveness can be highly sensitive to the quality and difficulty of preference pairs. A common heuristic treats…

人工智能 · 计算机科学 2026-02-03 Jinlong Pang , Zhaowei Zhu , Na Di , Yichi Zhang , Yaxuan Wang , Chen Qian , Yang Liu

Direct Preference Optimization (DPO) has emerged as a promising approach for aligning large language models with human preferences. While prior work mainly extends DPO from the aspect of the objective function, we instead improve DPO from…

机器学习 · 计算机科学 2026-02-17 Xun Deng , Han Zhong , Rui Ai , Fuli Feng , Zheng Wang , Xiangnan He
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