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In recent years, the use of object proposal as a preprocessing step for target detection to improve computational efficiency has become an effective method. Good object proposal methods should have high object detection recall rate and low…

计算机视觉与模式识别 · 计算机科学 2020-05-15 Jiang Chao , Liang Huawei , Wang Zhiling

Variational regularization is commonly used to solve linear inverse problems, and involves augmenting a data fidelity by a regularizer. The regularizer is used to promote a priori information and is weighted by a regularization parameter.…

最优化与控制 · 数学 2024-01-23 Matthias J. Ehrhardt , Silvia Gazzola , Sebastian J. Scott

Reinforcement Learning from Human Feedback (RLHF) aligns language models to human preferences by employing a singular reward model derived from preference data. However, such an approach overlooks the rich diversity of human preferences…

计算与语言 · 计算机科学 2024-12-30 Souradip Chakraborty , Jiahao Qiu , Hui Yuan , Alec Koppel , Furong Huang , Dinesh Manocha , Amrit Singh Bedi , Mengdi Wang

Recent progress in strengthening the capabilities of large language models has stemmed from applying reinforcement learning to domains with automatically verifiable outcomes. A key question is whether we can similarly use RL to optimize for…

机器学习 · 计算机科学 2025-05-27 Eric Zhao , Jessica Dai , Pranjal Awasthi

Multi-objective reinforcement learning (MORL) is the generalization of standard reinforcement learning (RL) approaches to solve sequential decision making problems that consist of several, possibly conflicting, objectives. Generally, in…

人工智能 · 计算机科学 2019-10-08 Xi Chen , Ali Ghadirzadeh , Mårten Björkman , Patric Jensfelt

Benchmarks are a useful tool for empirical performance comparisons. However, one of the main shortcomings of existing benchmarks is that it remains largely unclear how they relate to real-world problems. What does an algorithm's performance…

神经与进化计算 · 计算机科学 2020-04-15 Koen van der Blom , Timo M. Deist , Tea Tušar , Mariapia Marchi , Yusuke Nojima , Akira Oyama , Vanessa Volz , Boris Naujoks

We introduce a numerical framework to verify the finite step convergence of first-order methods for parametric convex quadratic optimization. We formulate the verification problem as a mathematical optimization problem where we maximize a…

最优化与控制 · 数学 2025-04-18 Vinit Ranjan , Bartolomeo Stellato

In applications with significant class imbalance or asymmetric costs, metrics such as the $F_\beta$-measure, AM measure, Jaccard similarity coefficient, and weighted accuracy offer more suitable evaluation criteria than standard binary…

机器学习 · 计算机科学 2025-12-30 Anqi Mao , Mehryar Mohri , Yutao Zhong

This article investigates the approximation quality achievable for biobjective minimization problems with respect to the Pareto cone by solutions that are (approximately) optimal with respect to larger ordering cones. When simultaneously…

最优化与控制 · 数学 2021-09-22 Arne Herzel , Stephan Helfrich , Stefan Ruzika , Clemens Thielen

Large language models exhibit impressive reasoning capabilities yet frequently generate plausible but incorrect solutions, a phenomenon commonly termed hallucination. This paper investigates the effect of training objective composition on…

机器学习 · 计算机科学 2026-01-13 Murtaza Nikzad , Raghuram Ramanujan

Orthogonalization is one of few mathematical methods conforming to mathematical standards for approximation. Finding a consistent PC matrix of a given an inconsistent PC matrix is the main goal of a pairwise comparisons method. We introduce…

数值分析 · 数学 2024-04-25 Julio Benitez , Waldemar W. Koczkodaj , Adam Kowalczyk

Accurately predicting the performance of different optimization algorithms for previously unseen problem instances is crucial for high-performing algorithm selection and configuration techniques. In the context of numerical optimization,…

神经与进化计算 · 计算机科学 2021-04-23 Tome Eftimov , Anja Jankovic , Gorjan Popovski , Carola Doerr , Peter Korošec

Linear programming describes the problem of optimising a linear objective function over a set of constraints on its variables. In this paper we present a solver for linear programs implemented in the proof assistant Isabelle/HOL. This…

计算机科学中的逻辑 · 计算机科学 2024-03-29 Julian Parsert

Despite the rapid development of large language models (LLMs), a fundamental challenge persists: the lack of high-quality optimization modeling datasets hampers LLMs' robust modeling of practical optimization problems from natural language…

人工智能 · 计算机科学 2025-02-24 Hongliang Lu , Zhonglin Xie , Yaoyu Wu , Can Ren , Yuxuan Chen , Zaiwen Wen

Regularization is a powerful technique for extracting useful information from noisy data. Typically, it is implemented by adding some sort of norm constraint to an objective function and then exactly optimizing the modified objective…

数据结构与算法 · 计算机科学 2011-04-28 Michael W. Mahoney , Lorenzo Orecchia

Modeling the preferences of agents over a set of alternatives is a principal concern in many areas. The dominant approach has been to find a single reward/utility function with the property that alternatives yielding higher rewards are…

机器学习 · 计算机科学 2022-06-09 Alihan Hüyük , William R. Zame , Mihaela van der Schaar

We present a unified logical framework for representing and reasoning about both probability quantitative and qualitative preferences in probability answer set programming, called probability answer set optimization programs. The proposed…

人工智能 · 计算机科学 2013-04-12 Emad Saad

Ordinal Priority Approach (OPA) has recently been proposed to determine the weights of experts, attributes, and alternatives using ordinal preference without precise information for multi-attribute ranking and selection (MARS). This study…

最优化与控制 · 数学 2025-06-10 Renlong Wang

Preference optimization has made significant progress recently, with numerous methods developed to align language models with human preferences. This paper introduces $f$-divergence Preference Optimization ($f$-PO), a novel framework that…

计算与语言 · 计算机科学 2025-02-18 Jiaqi Han , Mingjian Jiang , Yuxuan Song , Stefano Ermon , Minkai Xu

Algorithmic reproducibility measures the deviation in outputs of machine learning algorithms upon minor changes in the training process. Previous work suggests that first-order methods would need to trade-off convergence rate (gradient…

机器学习 · 计算机科学 2024-01-11 Liang Zhang , Junchi Yang , Amin Karbasi , Niao He