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Distributed and decentralized optimization are key for the control of networked systems. Application examples include distributed model predictive control and distributed sensing or estimation. Non-linear systems, however, lead to problems…

Optimization and Control · Mathematics 2023-07-06 Alexander Engelmann , Gösta Stomberg , Timm Faulwasser

Embodied AI systems operate in dynamic environments, requiring seamless integration of perception and generation modules to process high-frequency input and output demands. Traditional sequential computation patterns, while effective in…

Artificial Intelligence · Computer Science 2025-09-12 Shulai Zhang , Ao Xu , Quan Chen , Han Zhao , Weihao Cui , Ningxin Zheng , Haibin Lin , Xin Liu , Minyi Guo

Decentralized primal-dual methods are widely used for solving decentralized optimization problems, but their updates often rely on the potentially crude first-order Taylor approximations of the objective functions, which can limit…

Optimization and Control · Mathematics 2026-03-31 Haijuan Liu , Zhuoqing Zheng , Cong Li , Wenying Xu , Xuyang Wu

Topology Optimization (TO), which maximizes structural robustness under material weight constraints, is becoming an essential step for the automatic design of mechanical parts. However, existing TO algorithms use the Finite Element Analysis…

Robotics · Computer Science 2022-04-14 Zherong Pan , Xifeng Gao , Kui Wu

Many realistic decision-making problems in networked scenarios, such as formation control and collaborative task offloading, often involve complicatedly entangled local decisions, which, however, have not been sufficiently investigated yet.…

Optimization and Control · Mathematics 2025-11-20 Dandan Wang , Xuyang Wu , Zichong Ou , Jie Lu

Embedding-based entity alignment (EEA) has recently received great attention. Despite significant performance improvement, few efforts have been paid to facilitate understanding of EEA methods. Most existing studies rest on the assumption…

Computation and Language · Computer Science 2021-10-22 Lingbing Guo , Zequn Sun , Mingyang Chen , Wei Hu , Qiang Zhang , Huajun Chen

As artificial intelligence (AI) systems approach and surpass expert human performance across a broad range of tasks, obtaining high-quality human supervision for evaluation and training becomes increasingly challenging. Our focus is on…

Machine Learning · Computer Science 2026-02-25 Ren Yin , Takashi Ishida , Masashi Sugiyama

Deterministic computer simulations are often used as a replacement for complex physical experiments. Although less expensive than physical experimentation, computer codes can still be time-consuming to run. An effective strategy for…

Methodology · Statistics 2010-03-04 Mark Franey , Pritam Ranjan , Hugh Chipman

Empirical studies are fundamental in assessing the effectiveness of implementations of branch-and-bound algorithms. The complexity of such implementations makes empirical study difficult for a wide variety of reasons. Various attempts have…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Stephen J. Maher , Ted K. Ralphs , Yuji Shinano

This paper presents a family of algorithms for decentralized convex composite problems. We consider the setting of a network of agents that cooperatively minimize a global objective function composed of a sum of local functions plus a…

Optimization and Control · Mathematics 2023-02-14 Yichuan Li , Petros G. Voulgaris , Dusan M. Stipanovic , Nikolaos M. Freris

The emergence of foundation models, including language and vision models, has reshaped AI's landscape, offering capabilities across various applications. Deploying and fine-tuning these large models, like GPT-3 and BERT, presents…

Machine Learning · Computer Science 2024-02-29 Terence Jie Chua , Wenhan Yu , Jun Zhao , Kwok-Yan Lam

Existing multi-criteria decision-making (MCDM) methods often face challenges when evaluating a large number of alternatives, leading to skewed results in selecting the optimal choice. Similarly, conventional efficiency analysis (EA)…

Optimization and Control · Mathematics 2026-03-03 Fuh-Hwa Franklin Liu , Su-Chuan Shih

Manufacturing lines, service journeys, supply chains, and AI reasoning chains share a common challenge: attributing a terminal outcome to the intermediate stage that caused it. We establish an information-theoretic barrier to this credit…

Machine Learning · Statistics 2026-02-16 Seyed Morteza Emadi

First-order optimization (FOO) algorithms are pivotal in numerous computational domains such as machine learning and signal denoising. However, their application to complex tasks like neural network training often entails significant…

Machine Learning · Computer Science 2024-10-30 Yao Shu , Jiongfeng Fang , Ying Tiffany He , Fei Richard Yu

Error bound analysis, which estimates the distance of a point to the solution set of an optimization problem using the optimality residual, is a powerful tool for the analysis of first-order optimization algorithms. In this paper, we use…

Optimization and Control · Mathematics 2020-07-01 Jiawei Zhang , Zhiquan Luo

While the accuracy-fairness trade-off has been frequently observed in the literature of fair machine learning, rigorous theoretical analyses have been scarce. To demystify this long-standing challenge, this work seeks to develop a…

Machine Learning · Computer Science 2023-10-20 Hua Tang , Lu Cheng , Ninghao Liu , Mengnan Du

We initiate the study of deep learning for the automated design of two-sided matching mechanisms. What is of most interest is to use machine learning to understand the possibility of new tradeoffs between strategy-proofness and stability.…

Computer Science and Game Theory · Computer Science 2023-11-16 Sai Srivatsa Ravindranath , Zhe Feng , Shira Li , Jonathan Ma , Scott D. Kominers , David C. Parkes

Despite deep learning's broad success, its abstract-reasoning bottleneck persists. We tackle Raven's Progressive Matrices (RPM), the benchmark for pattern, reasoning and problem-solving intelligence. We model the full causal chain image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ruizhuo Song , Beiming Yuan

In this paper, we consider optimizing a smooth, convex, lower semicontinuous function in Riemannian space with constraints. To solve the problem, we first convert it to a dual problem and then propose a general primal-dual algorithm to…

Machine Learning · Computer Science 2020-05-20 Shijun Wang , Baocheng Zhu , Lintao Ma , Yuan Qi

We deal with the numerical solution of linear partial differential equations (PDEs) with focus on the goal-oriented error estimates including algebraic errors arising by an inaccurate solution of the corresponding algebraic systems. The…

Numerical Analysis · Mathematics 2020-01-08 Vít Dolejší , Petr Tichý