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A new systematic approach to the construction of approximate solutions to a class of nonlinear singularly perturbed feedback control systems using the boundary layer functions especially with regard to the possible occurrence of the…

最优化与控制 · 数学 2017-09-07 Robert Vrabel

Ising machines (IM) have recently been proposed as unconventional hardware-based computation accelerators for solving NP-hard problems. In this work, we present a model for a time-multiplexed IM based on the nonlinear oscillations in a…

We show that the NLS systems with multiplicative noise, nonlinear damping and nonlocal dispersion exhibit a variety of interesting effects which may be useful for modelling the dynamical behavior of one- and two-dimensional molecular…

Discrete-time models are very convenient to simulate a nonlinear system on a computer. In order to build the discrete-time simulation models for the nonlinear feedback systems (which is a very important class of systems in many…

系统与控制 · 计算机科学 2018-05-15 Rishi Relan , Johan Schoukens

Capturing high-level structure in audio waveforms is challenging because a single second of audio spans tens of thousands of timesteps. While long-range dependencies are difficult to model directly in the time domain, we show that they can…

音频与语音处理 · 电气工程与系统科学 2019-06-05 Sean Vasquez , Mike Lewis

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

动力系统 · 数学 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

We study the problem of compressing recurrent neural networks (RNNs). In particular, we focus on the compression of RNN acoustic models, which are motivated by the goal of building compact and accurate speech recognition systems which can…

计算与语言 · 计算机科学 2016-05-03 Rohit Prabhavalkar , Ouais Alsharif , Antoine Bruguier , Ian McGraw

A time-domain numerical modeling of brass instruments is proposed. On one hand, outgoing and incoming waves in the resonator are described by the Menguy-Gilbert model, which incorporates three key issues: nonlinear wave propagation,…

经典物理 · 物理学 2021-04-26 Harold Berjamin , Bruno Lombard , Christophe Vergez , Emmanuel Cottanceau

In this work we formulate a generalized theoretical model to describe the nonlinear dynamics observed in combined frequency-amplitude modulators whose characteristic parameters exhibit a nonlinear dependence on the input modulating signal.…

We consider a class of models describing an ensemble of identical interacting agents subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous and discontinuous phase transitions in a, generally,…

统计力学 · 物理学 2023-10-27 Niccolò Zagli , Grigorios A. Pavliotis , Valerio Lucarini , Alexander Alecio

Shallow water environments create a challenging channel for communications. In this paper, we focus on the challenges posed by the frequency-selective signal distortion called the Doppler effect. We explore the design and performance of…

信号处理 · 电气工程与系统科学 2019-09-11 Abigail Lee-Leon , Chau Yuen , Dorien Herremans

In this paper, we study the large time behavior of a class of wave equation with a nonlinear dissipation in non-cylindrical domains. The result we obtained here relaxes the conditions for the nonlinear term coefficients (in precise, that is…

偏微分方程分析 · 数学 2021-03-23 Lingyang Liu

In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general metric measure spaces. We find certain classes of nonlinear terms, including logistic type terms, for which solutions…

偏微分方程分析 · 数学 2024-09-17 Aníbal Rodríguez-Bernal , Silvia Sastre-Gomez

Dynamic parameterization of acoustic environments has drawn widespread attention in the field of audio processing. Precise representation of local room acoustic characteristics is crucial when designing audio filters for various audio…

音频与语音处理 · 电气工程与系统科学 2024-04-26 Chunxi Wang , Maoshen Jia , Meiran Li , Changchun Bao , Wenyu Jin

This study introduces a biologically-inspired model designed to examine the role of coincidence detection cells in speech segregation tasks. The model consists of three stages: a time-domain cochlear model that generates instantaneous rates…

神经元与认知 · 定量生物学 2024-05-13 Asaf Zorea , Miriam Furst

Nonlocal interaction is shown to be an appropriate tool for controlling coherence resonance in ensembles of non-excitable oscillators. The constructive role of nonlocal coupling is demonstrated through numerical simulations on an example of…

适应与自组织系统 · 物理学 2026-04-03 Aleksey Ryabov , Vladimir V. Semenov

This article develops the design of a sound synthesis model of a woodwind instrument by modal decomposition of the input impedance, taking into account viscothermal losses as well as localized nonlinear losses at the end of the resonator.…

经典物理 · 物理学 2023-11-07 Nathan Szwarcberg , Tom Colinot , Christophe Vergez , Michaël Jousserand

Generative Spoken Language Modeling research focuses on optimizing speech Language Models (LMs) using raw audio recordings without accessing any textual supervision. Such speech LMs usually operate over discrete units obtained from…

计算与语言 · 计算机科学 2023-05-30 Itai Gat , Felix Kreuk , Tu Anh Nguyen , Ann Lee , Jade Copet , Gabriel Synnaeve , Emmanuel Dupoux , Yossi Adi

Large audio language models are increasingly used for complex audio understanding tasks, but they struggle with temporal tasks that require precise temporal grounding, such as word alignment and speaker diarization. The standard approach,…

机器学习 · 计算机科学 2026-02-12 Joesph An , Phillip Keung , Jiaqi Wang , Orevaoghene Ahia , Noah A. Smith

The concept of nonlinear modes is useful for the dynamical characterization of nonlinear mechanical systems. While efficient and broadly applicable methods are now available for the computation of nonlinear modes, nonlinear modal testing is…

系统与控制 · 电气工程与系统科学 2020-11-18 Maren Scheel , Simon Peter , Remco I. Leine , Malte Krack