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A general class of dynamical systems which can be trained to operate in classification and generation modes are introduced. A procedure is proposed to plant asymptotic stationary attractors of the deterministic model. Optimizing the…

Disordered Systems and Neural Networks · Physics 2025-10-15 Stefano Gagliani , Feliciano Giuseppe Pacifico , Lorenzo Chicchi , Duccio Fanelli , Diego Febbe , Lorenzo Buffoni , Raffaele Marino

This article explores the excitation of different vibrational states in a spatially extended dynamical system through theory and experiment. As a prototypical example, we consider a one-dimensional packing of spherical particles (a…

Pattern Formation and Solitons · Physics 2015-10-19 C. Chong , E. Kim , E. G. Charalampidis , H. Kim , F. Li , P. G. Kevrekidis , J. Lydon , C. Daraio , J. Yang

Given a learning problem with real-world tradeoffs, which cost function should the model be trained to optimize? This is the metric selection problem in machine learning. Despite its practical interest, there is limited formal guidance on…

Machine Learning · Statistics 2022-08-22 Gaurush Hiranandani

In this paper we validate, including experimentally, the effectiveness of a recent theoretical developments made by our group on control-affine Extremum Seeking Control (ESC) systems. In particular, our validation is concerned with the…

Robotics · Computer Science 2024-03-12 Shivam Bajpai , Ahmed A. Elgohary , Sameh A. Eisa

This paper presents a new and efficient method for the construction of optimal designs for regression models with dependent error processes. In contrast to most of the work in this field, which starts with a model for a finite number of…

Methodology · Statistics 2015-11-06 Holger Dette , Maria Konstantinou , Anatoly Zhigljavsky

A nonlinear oscillator with an abruptly inhomogeneous restoring force driven by an uniform oscillating force exhibits stochastic properties under specific resonance conditions. This behaviour elucidates the elementary mechanism of the…

Plasma Physics · Physics 2015-05-19 S. V. Bulanov , A. Yogo , T. Zh. Esirkepov , J. K. Koga , S. S. Bulanov , K. Kondo , M. Kando

Energy efficiency is a growing concern for modern computing, especially for HPC due to operational costs and the environmental impact. We propose a methodology to find energy-optimal frequency and number of active cores to run single-node…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-04 Vitor R. G. Silva , Alex Furtunato , Kyriakos Georgiou , Kerstin Eder , Samuel Xavier-de-Souza

Ensemble learning improves classification performance by combining multiple base classifiers. While increasing the number of classifiers generally enhances accuracy, excessively large ensembles can lead to computational inefficiency and…

Machine Learning · Computer Science 2025-11-27 Enes Bektas , Fazli Can

Three classes of stochastic networks and their performance measures are considered. These performance measures are defined as the expected value of some random variables and cannot normally be obtained analytically as functions of network…

Optimization and Control · Mathematics 2012-10-24 Nikolai Krivulin

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

Machine Learning · Statistics 2012-12-04 Xun Huan , Youssef M. Marzouk

Under the excitation of strings, the wooden structure of string instruments is generally assumed to undergo linear vibrations. As an alternative to the direct measurement of the distortion rate at several vibration levels and frequencies,…

Classical Physics · Physics 2012-10-16 Kerem Ege , Marc Rébillat , Xavier Boutillon

We consider a purely harmonic chain of oscillators which is perturbed by a stochastic noise. Under this perturbation, the system exhibits two conserved quantities: the volume and the energy. At the level of the hydrodynamic limit, under…

Probability · Mathematics 2025-05-16 Patrícia Gonçalves , Kohei Hayashi , João Pedro Mangi

A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is robust in a broad range of…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Vadim N. Smelyanskiy , Dmitry G. Luchinsky

Piezoelectric vibration energy harvesters have attracted much attention due to its potential to replace currently popular batteries and to provide an sustainable power sources. Many researchers have proposed ways to increase the performance…

Applied Physics · Physics 2020-01-28 Maoying Zhou , Yang Fu , Huawei Ji

We propose an objective measurement method for pitch extractors' responses to frequency-modulated signals. It enables us to evaluate different pitch extractors with unified criteria. The method uses extended time-stretched pulses combined…

Energy harvester based cognitive radio is a promising solution to address the shortage of both spectrum and energy. Since the spectrum access and power consumption patterns are interdependent, and the power value harvested from certain…

Information Theory · Computer Science 2023-07-19 Yanyan Zhang , Weijia Han , Di Li , Ping Zhang , Shuguang Cui

We extend the single-stage stellarator coil design approach for quasi-symmetry on axis from [Giuliani et al, 2020] to additionally take into account coil manufacturing errors. By modeling coil errors independently from the coil…

Optimization and Control · Mathematics 2022-05-18 Florian Wechsung , Andrew Giuliani , Matt Landreman , Antoine Cerfon , Georg Stadler

Non-linear techniques are used to optimize the harvested energy from piezoelectric and electromagnetic generators. This paper introduces an analytical study for the voltage amplification obtained from these techniques. The analytical study…

Other Computer Science · Computer Science 2007-11-29 Yasser Ammar , S. Basrour

A wideband vibration energy harvester with multiple nonlinear forces is investigated. The nonlinearities are due to repulsive magnets and hardening springs, which gives rise to multistabilities between a number of energy branches. Not all…

Applied Physics · Physics 2023-07-13 Kankana Paul , Saibal Roy , Andreas Amann

Simultaneous vibration control and energy harvesting of vehicle suspensions have attracted significant research attention over the past decades. However, existing energy harvesting shock absorbers (EHSAs) are mainly designed based on the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Mohammad R. Hajidavalloo , Joel Cosner , Zhaojian Li , Wei-Che Tai , Ziyou Song