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In this work, we present a new deterministic partition-based global optimization algorithm, HALO (Hybrid Adaptive Lipschitzian Optimization), which uses estimates of the local Lipschitz constants associated with different sub-regions of the…

Optimization and Control · Mathematics 2026-03-18 Danny D'Agostino

A gradient-free deterministic method is developed to solve global optimization problems for Lipschitz continuous functions defined in arbitrary path-wise connected compact sets in Euclidean spaces. The method can be regarded as granular…

Optimization and Control · Mathematics 2021-07-15 Tao Qian , Lei Dai , Liming Zhang , Zehua Chen

This work develops an algorithm for PDE-constrained shape optimization based on Lipschitz transformations. Building on previous work in this field, the $p$-Laplace operator is utilized to approximate a descent method for Lipschitz shapes.…

Optimization and Control · Mathematics 2023-04-24 Peter Marvin Müller , Jose Pinzon , Thomas Rung , Martin Siebenborn

Mean estimation under differential privacy is a fundamental problem, but worst-case optimal mechanisms do not offer meaningful utility guarantees in practice when the global sensitivity is very large. Instead, various heuristics have been…

Cryptography and Security · Computer Science 2021-11-02 Ziyue Huang , Yuting Liang , Ke Yi

The paper deals with a well-known extremum seeking scheme by proving uniformity properties with respect to the amplitudes of the dither signal and of the cost function. Those properties are then used to show that the scheme guarantees the…

Optimization and Control · Mathematics 2022-06-07 Nicola Mimmo , Lorenzo Marconi , Giuseppe Notarstefano

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

Machine Learning · Computer Science 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang

We introduce a new inversion-free feedforward hysteresis control using the Preisach model. The feedforward scheme has a high-gain integral loop structure with Preisach hysteresis operator in negative feedback. This allows obtaining a…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Michael Ruderman

Materials that have a hysteretic response to an external field are essential in modern information storage and processing technologies. The magnetization curves of several natural and artificial materials have previously been measured and…

Applied Physics · Physics 2018-04-18 Andres Concha , David Aguayo , Paula Mellado

This paper provides examples of various synchronous and asynchronous signal processing systems for performing optimization, utilizing the framework and elements developed in a preceding paper. The general strategy in that paper was to…

Optimization and Control · Mathematics 2015-09-16 Thomas A. Baran , Tarek A. Lahlou

Many physical systems with the dynamical evolution that at its steady state gives a solution to optimization problems were proposed and realized as promising alternatives to conventional computing. Systems of oscillators such as coherent…

Chaotic Dynamics · Physics 2022-07-26 Marvin Syed , Natalia G. Berloff

This research presents a multi-layer optimization framework for hybrid energy storage systems (HESS) for passenger electric vehicles to increase the battery system's performance by combining multiple cell chemistries. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2024-08-30 Wouter Andriesse , Jorn van Kampen , Theo Hofman

We propose a novel combination of optimization tools with learning theory bounds in order to analyze the sample complexity of optimal kernel sum classifiers. This contrasts the typical learning theoretic results which hold for all…

Machine Learning · Computer Science 2019-06-04 Raphael Arkady Meyer , Jean Honorio

In this paper we propose a variant of a consensus-based global optimization (CBO) method that uses personal best information in order to compute the global minimum of a non-convex, locally Lipschitz continuous function. The proposed…

Optimization and Control · Mathematics 2020-08-25 Claudia Totzeck , Marie-Therese Wolfram

Multiprocess systems, including grid systems, multiprocessors and multicore computers, incorporate a variety of specialized hardware and software mechanisms, which speed computation, but result in complex memory behavior. As a consequence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 Steven Cheng , Lisa Higham , Jalal Kawash

We propose a new optimization method based on a demagnetization procedure well known in magnetism. We show how this procedure can be applied as a general tool to search for optimal solutions in any system where the configuration space is…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. Zarand , F. Pazmandi , K. F. Pal , G. T. Zimanyi

In this paper we formulate an optimization approach to schedule electrical loads given a short term prediction of time-varying power production and the ability to store only a limited amount of electrical energy. The proposed approach is…

Optimization and Control · Mathematics 2016-11-15 Raymond A. de Callafon , Abdulelah H. Habib , Jan Kleissl

Although every individual invented storage technology made a big step towards perfection, none of them is spotless. Different data store essentials such as performance, availability, and recovery requirements have not met together in a…

Hardware Architecture · Computer Science 2019-04-29 Morteza Hoseinzadeh

Many relevant problems in the area of systems and control, such as controller synthesis, observer design and model reduction, can be viewed as optimization problems involving dynamical systems: for instance, maximizing performance in the…

Optimization and Control · Mathematics 2023-11-15 Pascal Den Boef , Jos Maubach , Wil Schilders , Nathan van de Wouw

We propose two algorithms for solving global optimization problems on a hyperrectangle with an objective function satisfying the Vanderbei condition (this function is also called an $\varepsilon$-Lipschitz continuous function). The…

Optimization and Control · Mathematics 2024-02-20 Natalya Arutyunova , Aidar Dulliev , Vladislav Zabotin

We propose a combined global-local control approach to regulate voltage and minimize power losses in distribution networks with high integration of distributed energy resources (DERs). Local controllers embed the fast acting proportional…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Wilhiam de Carvalho , Ahmad Attarha , Hemanshu R. Pota
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