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Training deep neural networks is a highly nontrivial task, involving carefully selecting appropriate training algorithms, scheduling step sizes and tuning other hyperparameters. Trying different combinations can be quite labor-intensive and…

机器学习 · 计算机科学 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Meta learning with multiple objectives can be formulated as a Multi-Objective Bi-Level optimization Problem (MOBLP) where the upper-level subproblem is to solve several possible conflicting targets for the meta learner. However, existing…

机器学习 · 计算机科学 2021-02-16 Feiyang Ye , Baijiong Lin , Zhixiong Yue , Pengxin Guo , Qiao Xiao , Yu Zhang

In contrast to single-objective optimization (SOO), multi-objective optimization (MOO) requires an optimizer to find the Pareto frontier, a subset of feasible solutions that are not dominated by other feasible solutions. In this paper, we…

机器学习 · 计算机科学 2024-08-13 Yiyang Zhao , Linnan Wang , Kevin Yang , Tianjun Zhang , Tian Guo , Yuandong Tian

Recent studies on Learning to Optimize (L2O) suggest a promising path to automating and accelerating the optimization procedure for complicated tasks. Existing L2O models parameterize optimization rules by neural networks, and learn those…

机器学习 · 计算机科学 2022-05-10 Wenqing Zheng , Tianlong Chen , Ting-Kuei Hu , Zhangyang Wang

Optimization of conflicting functions is of paramount importance in decision making, and real world applications frequently involve data that is uncertain or unknown, resulting in multi-objective optimization (MOO) problems of stochastic…

数值分析 · 数学 2021-02-08 Suyun Liu , Luis Nunes Vicente

Learning-to-optimize (L2O) is an emerging research area in large-scale optimization with applications in data science. Recently, researchers have proposed a novel L2O framework called learned mirror descent (LMD), based on the classical…

最优化与控制 · 数学 2024-05-13 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang , Carola-Bibiane Schönlieb

Multi-objective optimization (MOO) has received growing attention in applications that require learning under multiple criteria. However, the existing MOO formulations do not explicitly account for distributional shifts in the data. We…

机器学习 · 计算机科学 2026-05-08 Yufeng Yang , Fangning Zhuo , Ziyi Chen , Heng Huang , Yi Zhou

Learning to Optimize (L2O) approaches, including algorithm unrolling, plug-and-play methods, and hyperparameter learning, have garnered significant attention and have been successfully applied to the Alternating Direction Method of…

最优化与控制 · 数学 2024-09-27 Ling Liang , Cameron Austin , Haizhao Yang

Iterative optimization is central to modern artificial intelligence (AI) and provides a crucial framework for understanding adaptive systems. This review provides a unified perspective on this subject, bridging classic theory with neural…

机器学习 · 计算机科学 2025-10-22 Jesús García Fernández , Nasir Ahmad , Marcel van Gerven

Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

神经与进化计算 · 计算机科学 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

In this paper, we propose a new descent method, termed as multiobjective memory gradient method, for finding Pareto critical points of a multiobjective optimization problem. The main thought in this method is to select a combination of the…

最优化与控制 · 数学 2022-06-02 Wang Chen , Xinmin Yang , Yong Zhao

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

机器学习 · 计算机科学 2024-10-16 Yuntian Gu , Xuzheng Chen

Machine unlearning (MU) aims to remove the influence of specific data from a trained model. However, approximate unlearning methods, often formulated as a single-objective optimization (SOO) problem, face a critical trade-off between…

机器学习 · 计算机科学 2025-10-23 Youngsik Hwang , Dong-Young Lim

In this paper, we propose a learning-to-optimize (L2O) framework to accelerate solving parametric mixed-integer quadratic programming (MIQP) problems, with a particular focus on mixed-integer model predictive control (MI-MPC) applications.…

系统与控制 · 电气工程与系统科学 2026-05-14 Viet-Anh Le , Mu Xie , Rahul Mangharam

Mixed-integer nonlinear programs (MINLPs) arise in domains such as energy systems, process engineering, and transportation, and are notoriously difficult to solve at scale due to the interplay of discrete decisions and nonlinear…

机器学习 · 计算机科学 2025-12-16 Bo Tang , Elias B. Khalil , Ján Drgoňa

Molecular design based on generative models, such as variational autoencoders (VAEs), has become increasingly popular in recent years due to its efficiency for exploring high-dimensional molecular space to identify molecules with desired…

机器学习 · 计算机科学 2024-08-13 A N M Nafiz Abeer , Nathan Urban , M Ryan Weil , Francis J. Alexander , Byung-Jun Yoon

Learning to Optimize (L2O) has drawn increasing attention as it often remarkably accelerates the optimization procedure of complex tasks by ``overfitting" specific task type, leading to enhanced performance compared to analytical…

机器学习 · 计算机科学 2023-03-02 Junjie Yang , Xuxi Chen , Tianlong Chen , Zhangyang Wang , Yingbin Liang

Learning to optimize (L2O) has recently emerged as a promising approach to solving optimization problems by exploiting the strong prediction power of neural networks and offering lower runtime complexity than conventional solvers. While L2O…

机器学习 · 计算机科学 2021-12-21 Zhihui Shao , Jianyi Yang , Cong Shen , Shaolei Ren

Tuning step sizes is crucial for the stability and efficiency of optimization algorithms. While adaptive coordinate-wise step sizes have been shown to outperform scalar step size in first-order methods, their use in second-order methods is…

机器学习 · 计算机科学 2025-05-20 Wei Lin , Qingyu Song , Hong Xu

A major challenge in training large-scale machine learning models is configuring the training process to maximize model performance, i.e., finding the best training setup from a vast design space. In this work, we unlock a gradient-based…

机器学习 · 统计学 2025-03-19 Logan Engstrom , Andrew Ilyas , Benjamin Chen , Axel Feldmann , William Moses , Aleksander Madry