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We present a general framework to study stability of the synchronous solution for a hypernetwork of coupled dynamical systems. We are able to reduce the dimensionality of the problem by using simultaneous block-diagonalization of matrices.…

Chaotic Dynamics · Physics 2015-06-11 Daniel Irving , Francesco Sorrentino

We present a new method to capture the acoustic characteristics of real-world rooms using commodity devices, and use the captured characteristics to generate similar sounding sources with virtual models. Given the captured audio and an…

Sound · Computer Science 2021-09-28 Zhenyu Tang , Nicholas J. Bryan , Dingzeyu Li , Timothy R. Langlois , Dinesh Manocha

Motivated by the idea of imposing paralleling computing on solving stochastic differential equations (SDEs), we introduce a new Domain Decomposition Scheme to solve forward-backward stochastic differential equations (FBSDEs) parallely. We…

Numerical Analysis · Mathematics 2010-08-03 Minh-Binh Tran

We propose a domain decomposition method for the efficient simulation of nonlocal problems. Our approach is based on a multi-domain formulation of a nonlocal diffusion problem where the subdomains share "nonlocal" interfaces of the size of…

Numerical Analysis · Mathematics 2021-09-29 Xiao Xu , Christian Glusa , Marta D'Elia , John T. Foster

Simultaneous matrix diagonalization is used as a subroutine in many machine learning problems, including blind source separation and paramater estimation in latent variable models. Here, we extend algorithms for performing joint…

Numerical Analysis · Computer Science 2015-05-12 Volodymyr Kuleshov , Arun Tesjavi Chaganty , Percy Liang

Moving loads such as cars and trains are very useful sources of seismic waves, which can be analyzed to retrieve information on the seismic velocity of subsurface materials using the techniques of ambient noise seismology. This information…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Vincent Dumont , Verónica Rodríguez Tribaldos , Jonathan Ajo-Franklin , Kesheng Wu

The Goal is to obtain a simple multichannel source separation with very low latency. Applications can be teleconferencing, hearing aids, augmented reality, or selective active noise cancellation. These real time applications need a very low…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-13 Gerald Schuller

A fast method is presented for adaptive moving mesh generation in multi-dimensions using a domain decomposition parabolic Monge-Amp\`ere approach. The domain decomposition procedure employed here is non-iterative and involves splitting the…

Numerical Analysis · Mathematics 2020-06-26 Mohamed Sulman , Truong Nguyen , Ronald Haynes , Weizhang Huang

Target audio source separation with natural language queries presents a promising paradigm for extracting arbitrary audio events through arbitrary text descriptions. Existing methods mainly face two challenges, the difficulty in jointly…

Sound · Computer Science 2025-12-03 Xinlei Yin , Xiulian Peng , Xue Jiang , Zhiwei Xiong , Yan Lu

Multiply-accumulation (MAC) is a crucial computing operation in signal processing, numerical simulations, and machine learning. This work presents a scalable, programmable, frequency-domain parallel computing leveraging gigahertz…

Applied Physics · Physics 2024-09-18 Jun Ji , Zichen Xi , Bernadeta R. Srijanto , Ivan I. Kravchenko , Ming Jin , Wenjie Xiong , Linbo Shao

The TREE method has been widely used for long-range interaction {\it N}-body problems. We have developed a parallel TREE code for two-component classical plasmas with open boundary conditions and highly non-uniform charge distributions. The…

Computational Physics · Physics 2009-05-04 Byoungseon Jeon , Joel D. Kress , Lee A. Collins , Niels Grønbech-Jensen

This paper focuses on the construction of accurate and predictive data-driven reduced models of large-scale numerical simulations with complex dynamics and sparse training datasets. In these settings, standard, single-domain approaches may…

Numerical Analysis · Mathematics 2024-09-26 Ionut-Gabriel Farcas , Rayomand P. Gundevia , Ramakanth Munipalli , Karen E. Willcox

Urban structure detection is a basic task in urban geography. Clustering is a core technology to detect the patterns of urban spatial structure, urban functional region, and so on. In big data era, diverse urban sensing datasets recording…

Social and Information Networks · Computer Science 2017-07-13 Xin Lin , Haifeng Li , Yan Zhang , Lei Gao , Ling Zhao , Min Deng

Existing methods utilizing spatial information for sound source separation require prior knowledge of the direction of arrival (DOA) of the source or utilize estimated but imprecise localization results, which impairs the separation…

Audio and Speech Processing · Electrical Eng. & Systems 2025-04-08 Donghang Wu , Xihong Wu , Tianshu Qu

We propose a GPU-accelerated distributed optimization algorithm for controlling multi-phase optimal power flow in active distribution systems with dynamically changing topologies. To handle varying network configurations and enable…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-15 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

Domain decomposition has been shown to be a computationally efficient distributed method for solving large scale entropic optimal transport problems. However, a naive implementation of the algorithm can freeze in the limit of very fine…

Numerical Analysis · Mathematics 2025-03-28 Ismael Medina , Bernhard Schmitzer

Neural networks have emerged as a tool for solving differential equations in many branches of engineering and science. But their progress in frequency domain acoustics is limited by the vanishing gradient problem that occurs at higher…

Computational Engineering, Finance, and Science · Computer Science 2024-05-09 D. Veerababu , Prasanta K. Ghosh

Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth rates of physically significant modes. In this paper, we…

Dynamical Systems · Mathematics 2023-02-21 Minwoo Lee , Jongho Park

We present multiscale graph-based reduction algorithms for upscaling heterogeneous and anisotropic diffusion problems. The proposed coarsening approaches begin by constructing a partitioning of the computational domain into a set of…

Numerical Analysis · Mathematics 2025-10-14 Maria Vasilyeva , James Brannick , Ben S. Southworth

We present a unified model capable of simultaneously grounding both spoken language and non-speech sounds within a visual scene, addressing key limitations in current audio-visual grounding models. Existing approaches are typically limited…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Hyeonggon Ryu , Seongyu Kim , Joon Son Chung , Arda Senocak
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