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Learning to Optimize (L2O) enhances optimization efficiency with integrated neural networks. L2O paradigms achieve great outcomes, e.g., refitting optimizer, generating unseen solutions iteratively or directly. However, conventional L2O…

Machine Learning · Computer Science 2025-03-17 Mingjia Shi , Ruihan Lin , Xuxi Chen , Yuhao Zhou , Zezhen Ding , Pingzhi Li , Tong Wang , Kai Wang , Zhangyang Wang , Jiheng Zhang , Tianlong Chen

Learning to Optimize (L2O) stands at the intersection of traditional optimization and machine learning, utilizing the capabilities of machine learning to enhance conventional optimization techniques. As real-world optimization problems…

Optimization and Control · Mathematics 2024-05-27 Xiaohan Chen , Jialin Liu , Wotao Yin

Learning to optimize (L2O) is an emerging approach that leverages machine learning to develop optimization methods, aiming at reducing the laborious iterations of hand engineering. It automates the design of an optimization method based on…

Optimization and Control · Mathematics 2021-07-05 Tianlong Chen , Xiaohan Chen , Wuyang Chen , Howard Heaton , Jialin Liu , Zhangyang Wang , Wotao Yin

Although optimization is the longstanding algorithmic backbone of machine learning, new models still require the time-consuming implementation of new solvers. As a result, there are thousands of implementations of optimization algorithms…

Machine Learning · Computer Science 2019-06-03 Sören Laue , Matthias Mitterreiter , Joachim Giesen

Meta-Black-Box Optimization (MetaBBO) garners attention due to its success in automating the configuration and generation of black-box optimizers, significantly reducing the human effort required for optimizer design and discovering…

Machine Learning · Computer Science 2025-05-20 Jiyuan Pei , Yi Mei , Jialin Liu , Mengjie Zhang

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

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…

Machine Learning · Computer Science 2021-12-21 Zhihui Shao , Jianyi Yang , Cong Shen , Shaolei Ren

Some real problems require the evaluation of expensive and noisy objective functions. Moreover, the analytical expression of these objective functions may be unknown. These functions are known as black-boxes, for example, estimating the…

Machine Learning · Statistics 2021-07-12 Lucia Asencio Martín , Eduardo C. Garrido-Merchán

Deep learning has been widely used in various applications from different fields such as computer vision, natural language processing, etc. However, the training models are often manually developed via many costly experiments. This manual…

Machine Learning · Computer Science 2022-11-22 Thanh Phuong Pham

Large Language Models (LLMs) have driven substantial progress in artificial intelligence in recent years, exhibiting impressive capabilities across a wide range of tasks, including mathematical problem-solving. Inspired by the success of…

Computation and Language · Computer Science 2023-10-20 Xueliang Zhao , Xinting Huang , Wei Bi , Lingpeng Kong

Efficient Global Optimization (EGO) is the canonical form of Bayesian optimization that has been successfully applied to solve global optimization of expensive-to-evaluate black-box problems. However, EGO struggles to scale with dimension,…

Optimization and Control · Mathematics 2022-04-26 Youssef Diouane , Victor Picheny , Rodolphe Le Riche , Alexandre Scotto Di Perrotolo

Learning to Optimize (L2O), a technique that utilizes machine learning to learn an optimization algorithm automatically from data, has gained arising attention in recent years. A generic L2O approach parameterizes the iterative update rule…

Machine Learning · Computer Science 2023-05-31 Jialin Liu , Xiaohan Chen , Zhangyang Wang , Wotao Yin , HanQin Cai

The Mixture of Experts (MoE) has emerged as a highly successful technique in deep learning, based on the principle of divide-and-conquer to maximize model capacity without significant additional computational cost. Even in the era of…

Computation and Language · Computer Science 2024-09-02 Boan Liu , Liang Ding , Li Shen , Keqin Peng , Yu Cao , Dazhao Cheng , Dacheng Tao

Human perception generalizes well across different domains, but most vision models struggle beyond their training data. This gap motivates multi-dataset learning, where a single model is trained on diverse datasets to improve robustness…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Pourya Shamsolmoali , Masoumeh Zareapoor , Huiyu Zhou , Oscar Mendez , Dacheng Tao , Xuelong Li

Many approaches for addressing Global Optimization problems typically rely on relaxations of nonlinear constraints over specific mathematical primitives. This is restricting in applications with constraints that are black-box, implicit or…

Optimization and Control · Mathematics 2025-01-03 Dimitris Bertsimas , Georgios Margaritis

Learned optimization has emerged as a promising alternative to hand-crafted optimizers, with the potential to discover stronger learned update rules that enable faster, hyperparameter-free training of neural networks. A critical element for…

Machine Learning · Computer Science 2025-06-23 Abhinav Moudgil , Boris Knyazev , Guillaume Lajoie , Eugene Belilovsky

Artificial intelligence (AI) has achieved astonishing successes in many domains, especially with the recent breakthroughs in the development of foundational large models. These large models, leveraging their extensive training data, provide…

Machine Learning · Computer Science 2026-01-27 Siyuan Mu , Sen Lin

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.…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Viet-Anh Le , Mu Xie , Rahul Mangharam

Black-box optimization (BBO) has a broad range of applications, including automatic machine learning, engineering, physics, and experimental design. However, it remains a challenge for users to apply BBO methods to their problems at hand…

Machine Learning · Computer Science 2021-11-05 Yang Li , Yu Shen , Wentao Zhang , Yuanwei Chen , Huaijun Jiang , Mingchao Liu , Jiawei Jiang , Jinyang Gao , Wentao Wu , Zhi Yang , Ce Zhang , Bin Cui

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.…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih
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