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Some variant of the Frank-Wolfe method for convex optimization problems with adaptive selection of the step parameter corresponding to information about the smoothness of the objective function (the Lipschitz constant of the gradient).…

Optimization and Control · Mathematics 2023-08-01 G. V. Aivazian , F. S. Stonyakin , D. A. Pasechnyuk , M. S. Alkousa , A. M. Raigorodskii

The Frank-Wolfe algorithm is a classic method for constrained optimization problems. It has recently been popular in many machine learning applications because its projection-free property leads to more efficient iterations. In this paper,…

Optimization and Control · Mathematics 2020-10-23 Cheng Chen , Luo Luo , Weinan Zhang , Yong Yu

In this paper, we propose a non-myopic sensor management algorithm for multi-target tracking, with multiple sensors operating in the same surveillance area. The algorithm is based on multi-Bernoulli filtering and selects the actions that…

Systems and Control · Electrical Eng. & Systems 2026-05-05 George Jones , Angel Garcia-Fernandez

This paper presents a novel framework for goal-oriented optimal static sensor placement and dynamic sensor steering in PDE-constrained inverse problems, utilizing a Bayesian approach accelerated by low-rank approximations. The framework is…

Numerical Analysis · Mathematics 2025-07-09 Marco Mattuschka , Noah An der Lan , Max von Danwitz , Daniel Wolff , Alexander Popp

The Frank-Wolfe (FW) method is a popular algorithm for solving large-scale convex optimization problems appearing in structured statistical learning. However, the traditional Frank-Wolfe method can only be applied when the feasible region…

Optimization and Control · Mathematics 2021-10-11 Haoyue Wang , Haihao Lu , Rahul Mazumder

We study a scenario where an aircraft has multiple heterogeneous sensors collecting measurements to track a target vehicle of unknown location. The measurements are sampled along the flight path and our goals to optimize sensor placement to…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Matthew R. Kirchner , David Grimsman , Joao P. Hespanha , Jason R. Marden

We propose a novel Stochastic Frank-Wolfe (a.k.a. conditional gradient) algorithm for constrained smooth finite-sum minimization with a generalized linear prediction/structure. This class of problems includes empirical risk minimization…

We propose a method for tracking an unknown number of targets based on measurements provided by multiple sensors. Our method achieves low computational complexity and excellent scalability by running belief propagation on a suitably devised…

Data Structures and Algorithms · Computer Science 2017-05-24 Florian Meyer , Paolo Braca , Peter Willett , Franz Hlawatsch

As edge computing capabilities increase, model learning deployments in diverse edge environments have emerged. In experimental design networks, introduced recently, network routing and rate allocation are designed to aid the transfer of…

Networking and Internet Architecture · Computer Science 2024-01-11 Yuanyuan Li , Lili Su , Carlee Joe-Wong , Edmund Yeh , Stratis Ioannidis

The Frank-Wolfe (FW) algorithm has been widely used in solving nuclear norm constrained problems, since it does not require projections. However, FW often yields high rank intermediate iterates, which can be very expensive in time and space…

Machine Learning · Statistics 2017-10-17 Edward Cheung , Yuying Li

We present an exact algorithm for mean-risk optimization subject to a budget constraint, where decision variables may be continuous or integer. The risk is measured by the covariance matrix and weighted by an arbitrary monotone function,…

Optimization and Control · Mathematics 2017-05-08 Christoph Buchheim , Marianna De Santis , Francesco Rinaldi , Long Trieu

Tracking multiple targets in dynamic environments using distributed sensor networks is a challenging problem for situational awareness in connected autonomous vehicles (CAVs). In such scenarios, the network of mobile sensors must coordinate…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Aidan Blair , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Xiaodong Li , Reza Hoseinnezhad

Multi-category support vector machine (MC-SVM) is one of the most popular machine learning algorithms. There are lots of variants of MC-SVM, although different optimization algorithms were developed for different learning machines. In this…

Machine Learning · Computer Science 2021-11-10 Kenya Tajima , Yoshihiro Hirohashi , Esmeraldo Ronnie Rey Zara , Tsuyoshi Kato

As a projection-free algorithm, Frank-Wolfe (FW) method, also known as conditional gradient, has recently received considerable attention in the machine learning community. In this dissertation, we study several topics on the FW variants…

Optimization and Control · Mathematics 2021-05-11 Mingrui Zhang

The autonomous operation of flexible-wing aircraft is technically challenging and has never been presented within literature. The lack of an exact modeling framework is due to the complex nonlinear aerodynamic relationships governed by the…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Mohammed Abouheaf , Nathaniel Mailhot , Wail Gueaieb , Davide Spinello

A new method for optimal sensor placement based on variable importance of machine learned models is proposed. With its simplicity, adaptivity, and low computational cost, the method offers many advantages over existing approaches. The new…

Fluid Dynamics · Physics 2017-02-02 Richard Semaan

In this paper we provide an introduction to the Frank-Wolfe algorithm, a method for smooth convex optimization in the presence of (relatively) complicated constraints. We will present the algorithm, introduce key concepts, and establish…

Optimization and Control · Mathematics 2023-11-30 Sebastian Pokutta

The deployment of the sensor nodes (SNs) always plays a decisive role in the system performance of wireless sensor networks (WSNs). In this work, we propose an optimal deployment method for practical heterogeneous WSNs which gives a deep…

Networking and Internet Architecture · Computer Science 2022-07-20 Long Chen , Yingying Xu , Fangyi Xu , Qian Hu , Zhenzhou Tang

Model merging has emerged as a promising approach for multi-task learning (MTL), offering a data-efficient alternative to conventional fine-tuning. However, with the rapid development of the open-source AI ecosystem and the increasing…

Machine Learning · Computer Science 2025-10-01 Hao Mark Chen , Shell Xu Hu , Wayne Luk , Timothy Hospedales , Hongxiang Fan

Tracking multiple targets in dynamic environments using distributed sensor networks is a fundamental problem in statistical signal processing. In such scenarios, the network of mobile sensors must coordinate their actions to accurately…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Aidan Blair , Amirali Khodadadian Gostar , Alireza Bab-Hadiashar , Xiaodong Li , Reza Hoseinnezhad