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We introduce a computationally efficient and accurate reduced order modelling approach for the optimization of spatiotemporally chaotic systems. The proposed method combines quantized local reduced order modelling with adjoint-based…

Chaotic Dynamics · Physics 2026-04-10 Defne E. Ozan , Antonio Colanera , Luca Magri

Grey wolf optimizer (GWO) is a nature-inspired stochastic meta-heuristic of the swarm intelligence field that mimics the hunting behavior of grey wolves. Differential evolution (DE) is a popular stochastic algorithm of the evolutionary…

This paper describes an extension of the BFGS and L-BFGS methods for the minimization of a nonlinear function subject to errors. This work is motivated by applications that contain computational noise, employ low-precision arithmetic, or…

Optimization and Control · Mathematics 2021-09-10 Hao-Jun Michael Shi , Yuchen Xie , Richard Byrd , Jorge Nocedal

Deep neural networks are easily fooled by small perturbations known as adversarial attacks. Adversarial Training (AT) is a technique that approximately solves a robust optimization problem to minimize the worst-case loss and is widely…

Machine Learning · Computer Science 2022-03-28 Theodoros Tsiligkaridis , Jay Roberts

Gradient methods have become mainstream techniques for Bi-Level Optimization (BLO) in learning and vision fields. The validity of existing works heavily relies on solving a series of approximation subproblems with extraordinarily high…

Optimization and Control · Mathematics 2022-05-23 Risheng Liu , Xuan Liu , Wei Yao , Shangzhi Zeng , Jin Zhang

Lattice structures, known for their superior mechanical properties, are widely used in industries such as aerospace, automotive, and biomedical. Their advantages primarily lie in the interconnected struts at the micro-scale. The robust…

Computational Engineering, Finance, and Science · Computer Science 2025-02-06 Sifan Chen , Yuan Kong , Qiang Zou

We develop simple and general techniques to obtain faster (near-linear time) static approximation algorithms, as well as efficient dynamic data structures, for four fundamental geometric optimization problems: minimum piercing set (MPS),…

Computational Geometry · Computer Science 2024-07-31 Sujoy Bhore , Timothy M. Chan

Ensuring and improving the safety of autonomous driving systems (ADS) is crucial for the deployment of highly automated vehicles, especially in safety-critical events. To address the rarity issue, adversarial scenario generation methods are…

Machine Learning · Computer Science 2025-06-10 Yuewen Mei , Tong Nie , Jian Sun , Ye Tian

We consider ``one-at-a-time'' coordinate-wise descent algorithms for a class of convex optimization problems. An algorithm of this kind has been proposed for the $L_1$-penalized regression (lasso) in the literature, but it seems to have…

Computation · Statistics 2007-12-18 Jerome Friedman , Trevor Hastie , Holger Höfling , Robert Tibshirani

This paper develops a controller synthesis approach for a multi-agent system (MAS) with intermittent communication. We adopt a leader-follower scheme, where a mobile leader with absolute position sensors switches among a set of followers…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Zhe Xu , Federico M. Zegers , Bo Wu , Warren Dixon , Ufuk Topcu

A reduced-order model algorithm, called ALP, is proposed to solve nonlinear evolution partial differential equations. It is based on approximations of generalized Lax pairs. Contrary to other reduced-order methods, like Proper Orthogonal…

Numerical Analysis · Mathematics 2014-03-04 Jean-Frédéric Gerbeau , Damiano Lombardi

In recent years, there has been a growing interest in mathematical models leading to the minimization, in a symmetric matrix space, of a Bregman divergence coupled with a regularization term. We address problems of this type within a…

Optimization and Control · Mathematics 2022-06-10 A. Benfenati , E. Chouzenoux , J. -C. Pesquet

The least-absolute shrinkage and selection operator (LASSO) is a regularization technique for estimating sparse signals of interest emerging in various applications and can be efficiently solved via the alternating direction method of…

Information Theory · Computer Science 2022-08-25 Huiyue Yi , Yan Xu , Wuxiong Zhang , Hui Xu

A framework is introduced for sequentially solving convex stochastic minimization problems, where the objective functions change slowly, in the sense that the distance between successive minimizers is bounded. The minimization problems are…

Optimization and Control · Mathematics 2018-03-12 Craig Wilson , Venugopal Veeravalli , Angelia Nedich

Harnessing pre-trained LLMs to improve ASR systems, particularly for low-resource languages, is now an emerging area of research. Existing methods range from using LLMs for ASR error correction to tightly coupled systems that replace the…

Computation and Language · Computer Science 2024-08-30 Ashish Mittal , Darshan Prabhu , Sunita Sarawagi , Preethi Jyothi

The optimal transport (OT) problem has been used widely for machine learning. It is necessary for computation of an OT problem to solve linear programming with tight mass-conservation constraints. These constraints prevent its application…

Machine Learning · Computer Science 2022-05-30 Takumi Fukunaga , Hiroyuki Kasai

In electronic design automation, logic optimization operators play a crucial role in minimizing the gate count of logic circuits. However, their computation demands are high. Operators such as refactor conventionally form iterative cuts for…

Machine Learning · Computer Science 2025-08-12 Dimitris Tsaras , Xing Li , Lei Chen , Zhiyao Xie , Mingxuan Yuan

This paper develops and analyzes feedback-based online optimization methods to regulate the output of a linear time-invariant (LTI) dynamical system to the optimal solution of a time-varying convex optimization problem. The design of the…

Optimization and Control · Mathematics 2018-05-31 Marcello Colombino , Emiliano Dall'Anese , Andrey Bernstein

The rapid scaling of large language models (LLMs) exacerbates communication bottlenecks in AI data centers (AIDCs). To overcome this, optical circuit switches (OCS) are increasingly adopted for their superior bandwidth capacity and energy…

Networking and Internet Architecture · Computer Science 2026-05-27 Niangen Ye , Jingya Liu , Guofu Zhu , Weiqiang Sun , Weisheng Hu

The least trimmed squares (LTS) is a reasonable formulation of robust regression whereas it suffers from high computational cost due to the nonconvexity and nonsmoothness of its objective function. The most frequently used FAST-LTS…

Computation · Statistics 2024-10-08 Shotaro Yagishita
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