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Optimal trajectory design is computationally expensive for nonlinear and high-dimensional dynamical systems. The challenge arises from the non-convex nature of the optimization problem with multiple local optima, which usually requires a…

机器人学 · 计算机科学 2024-10-07 Anjian Li , Zihan Ding , Adji Bousso Dieng , Ryne Beeson

Bayesian Optimization (BO) has the potential to solve various combinatorial tasks, ranging from materials science to neural architecture search. However, BO requires specialized kernels to effectively model combinatorial domains. Recent…

机器学习 · 计算机科学 2025-10-31 Colin Doumont , Victor Picheny , Viacheslav Borovitskiy , Henry Moss

This paper surveys the recent attempts, both from the machine learning and operations research communities, at leveraging machine learning to solve combinatorial optimization problems. Given the hard nature of these problems,…

机器学习 · 计算机科学 2020-03-16 Yoshua Bengio , Andrea Lodi , Antoine Prouvost

Combinatorial Optimization (CO) problems are fundamentally important in numerous real-world applications across diverse industries, characterized by entailing enormous solution space and demanding time-sensitive response. Despite recent…

人工智能 · 计算机科学 2025-06-10 Hang Zhao , Kexiong Yu , Yuhang Huang , Renjiao Yi , Chenyang Zhu , Kai Xu

We describe an exact and highly efficient numerical algorithm for solving a special but important class of convection-diffusion equations. These equations occur in many problems in physics, chemistry, or biology, and they are usually hard…

计算物理 · 物理学 2019-03-27 Narain Karedla , Jan Christoph Thiele , Ingo Gregor , Jörg Enderlein

The recommender system is one of the most promising ways to address the information overload problem in online systems. Based on the personal historical record, the recommender system can find interesting and relevant objects for the user…

信息检索 · 计算机科学 2015-06-17 An Zeng , Alexandre Vidmer , Matus Medo , Yi-Cheng Zhang

Addressing real-world optimization problems becomes particularly challenging when analytic objective functions or constraints are unavailable. While numerous studies have addressed the issue of unknown objectives, limited research has…

Diffusion-based inpainting can reconstruct missing image areas with high quality from sparse data, provided that their location and their values are well optimised. This is particularly useful for applications such as image compression,…

图像与视频处理 · 电气工程与系统科学 2023-03-24 Pascal Peter , Karl Schrader , Tobias Alt , Joachim Weickert

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

最优化与控制 · 数学 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

量子物理 · 物理学 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

Inspired by traditional link prediction and to solve the problem of recommending friends in social networks, we introduce the personalized link prediction in this paper, in which each individual will get equal number of diversiform…

物理与社会 · 物理学 2016-02-17 Jin-Hu Liu , Yu-Xiao Zhu , Tao Zhou

Generative diffusion models, famous for their performance in image generation, are popular in various cross-domain applications. However, their use in the communication community has been mostly limited to auxiliary tasks like data modeling…

网络与互联网体系结构 · 计算机科学 2025-03-11 Ruihuai Liang , Bo Yang , Zhiwen Yu , Bin Guo , Xuelin Cao , Mérouane Debbah , H. Vincent Poor , Chau Yuen

We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

机器学习 · 计算机科学 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

A procedure is presented which considerably improves the performance of local search based heuristic algorithms for combinatorial optimization problems. It increases the average `gain' of the individual local searches by merging pairs of…

无序系统与神经网络 · 物理学 2009-10-31 A. Mobius , B. Freisleben , P. Merz , M. Schreiber

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are unevenly distributed over an extremely large number of nodes. The goal is to train a…

机器学习 · 计算机科学 2016-10-11 Jakub Konečný , H. Brendan McMahan , Daniel Ramage , Peter Richtárik

Distributed learning offers a practical solution for the integrative analysis of multi-source datasets, especially under privacy or communication constraints. However, addressing prospective distributional heterogeneity and ensuring…

统计方法学 · 统计学 2025-11-27 Yinrui Sun , Yin Xia

Machine learning has increasingly been employed to solve NP-hard combinatorial optimization problems, resulting in the emergence of neural solvers that demonstrate remarkable performance, even with minimal domain-specific knowledge. To…

最优化与控制 · 数学 2025-05-27 Chengrui Gao , Haopu Shang , Ke Xue , Chao Qian

In combined heat and power systems, varying mass flow can better make use of the heating system inertia to increase the flexibility of electric power systems. This is challenging, however, due to integer variables and bilinear constraints…

系统与控制 · 电气工程与系统科学 2020-12-01 Xin Qin , Ye Guo , Xinwei Shen , Hongbin Sun

Creating impact in real-world settings requires artificial intelligence techniques to span the full pipeline from data, to predictive models, to decisions. These components are typically approached separately: a machine learning model is…

机器学习 · 计算机科学 2018-11-22 Bryan Wilder , Bistra Dilkina , Milind Tambe

Combined heat and power dispatch promotes interactions and synergies between electric power systems and district heating systems. However, nonlinear and nonconvex heating flow imposes significant challenges on finding qualified solutions…

系统与控制 · 电气工程与系统科学 2021-03-12 Yibao Jiang , Can Wan , Audun Botterud , Yonghua Song , Mohammad Shahidehpour
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