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In the present work we revisit the existence, stability and dynamical properties of moving discrete breathers in $\beta$-FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of…

Pattern Formation and Solitons · Physics 2022-04-27 H. Duran , J. Cuevas-Maraver , P. G. Kevrekidis , A. Vainchtein

In this paper we investigate the emergence of time-periodic and and time-quasiperiodic (sometimes infinitely long lived and sometimes very long lived or metastable) solutions of discrete nonlinear wave equations: discrete sine Gordon,…

Pattern Formation and Solitons · Physics 2007-05-23 P. G. Kevrekidis , M. I. Weinstein

Deep Neural Networks (DNNs) have shown unparalleled achievements in numerous applications, reflecting their proficiency in managing vast data sets. Yet, their static structure limits their adaptability in ever-changing environments. This…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Yunjie Zhu , Yunhao Chen

This paper introduces a meta-learning approach for parameterized pseudo-differential operators with deep neural networks. With the help of the nonstandard wavelet form, the pseudo-differential operators can be approximated in a compressed…

Numerical Analysis · Mathematics 2020-02-26 Jordi Feliu-Faba , Yuwei Fan , Lexing Ying

Compared with traditional seismic noise attenuation algorithms that depend on signal models and their corresponding prior assumptions, removing noise with a deep neural network is trained based on a large training set, where the inputs are…

Geophysics · Physics 2019-07-23 Siwei Yu , Jianwei Ma , Wenlong Wang

A promising approach for speech dereverberation is based on supervised learning, where a deep neural network (DNN) is trained to predict the direct sound from noisy-reverberant speech. This data-driven approach is based on leveraging prior…

Sound · Computer Science 2021-11-11 Zhong-Qiu Wang , Gordon Wichern , Jonathan Le Roux

Recent works on deep non-linear spatially selective filters demonstrate exceptional enhancement performance with computationally lightweight architectures for stationary speakers of known directions. However, to maintain this performance in…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-08 Jakob Kienegger , Alina Mannanova , Huajian Fang , Timo Gerkmann

Physical models of rigid bodies are used for sound synthesis in applications from virtual environments to music production. Traditional methods such as modal synthesis often rely on computationally expensive numerical solvers, while recent…

Sound · Computer Science 2022-10-31 Rodrigo Diaz , Ben Hayes , Charalampos Saitis , György Fazekas , Mark Sandler

We discuss the existence of breathers and lower bounds on their power, in nonlinear Schr\"odinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed point arguments, deriving lower bounds for the…

Pattern Formation and Solitons · Physics 2015-05-20 N. I. Karachalios , B. Sánchez-Rey , P. G. Kevrekidis , J. Cuevas

Speaker diarization is a task to label audio or video recordings with classes that correspond to speaker identity, or in short, a task to identify "who spoke when". In the early years, speaker diarization algorithms were developed for…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-29 Tae Jin Park , Naoyuki Kanda , Dimitrios Dimitriadis , Kyu J. Han , Shinji Watanabe , Shrikanth Narayanan

We present a simple numerical method for the discrete breather construction based on the idea of the pair synchronization of the particles involved in the breather vibration. It can be used for obtaining exact breather solutions in…

Pattern Formation and Solitons · Physics 2007-12-03 G. M. Chechin , G. S. Dzhelauhova

In this paper, we provide an overview of a common phenomenon, condensation, observed during the nonlinear training of neural networks: During the nonlinear training of neural networks, neurons in the same layer tend to condense into groups…

Machine Learning · Computer Science 2026-04-14 Zhi-Qin John Xu , Yaoyu Zhang , Zhangchen Zhou

We study nonlinear phonon excitations in a one-dimensional quantum nonlinear lattice model using numerical exact diagonalization. We find that multi-phonon bound states exist as eigenstates which are natural counterparts of breather…

Condensed Matter · Physics 2009-10-28 W. Z. Wang , J. Tinka Gammel , A. R. Bishop , M. I. Salkola

Despite their increasing popularity and success in a variety of supervised learning problems, deep neural networks are extremely hard to interpret and debug: Given and already trained Deep Neural Net, and a set of test inputs, how can we…

Machine Learning · Computer Science 2018-06-07 Uday Singh Saini , Evangelos E. Papalexakis

Speaker recognition is a task of identifying persons from their voices. Recently, deep learning has dramatically revolutionized speaker recognition. However, there is lack of comprehensive reviews on the exciting progress. In this paper, we…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-06 Zhongxin Bai , Xiao-Lei Zhang

Dynamic neural network is an emerging research topic in deep learning. Compared to static models which have fixed computational graphs and parameters at the inference stage, dynamic networks can adapt their structures or parameters to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-03 Yizeng Han , Gao Huang , Shiji Song , Le Yang , Honghui Wang , Yulin Wang

Acoustic scene classification is an intricate problem for a machine. As an emerging field of research, deep Convolutional Neural Networks (CNN) achieve convincing results. In this paper, we explore the use of multi-scale Dense connected…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Dawei Feng , Kele Xu , Haibo Mi , Feifan Liao , Yan Zhou

The primary objective of this paper is to build classification models and strategies to identify breathing sound anomalies (wheeze, crackle) for automated diagnosis of respiratory and pulmonary diseases. In this work we propose a deep…

Audio and Speech Processing · Electrical Eng. & Systems 2020-04-20 Jyotibdha Acharya , Arindam Basu

In this paper, we propose DeepTree, a novel method for modeling trees based on learning developmental rules for branching structures instead of manually defining them. We call our deep neural model situated latent because its behavior is…

Machine Learning · Computer Science 2023-05-10 Xiaochen Zhou , Bosheng Li , Bedrich Benes , Songlin Fei , Sören Pirk

This paper presents a novel approach for indoor acoustic source localization using microphone arrays and based on a Convolutional Neural Network (CNN). The proposed solution is, to the best of our knowledge, the first published work in…

Sound · Computer Science 2019-02-01 Juan Manuel Vera-Diaz , Daniel Pizarro , Javier Macias-Guarasa