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In this work, we assess the ability of physics-informed neural networks (PINNs) to solve increasingly-complex coupled ordinary differential equations (ODEs). We focus on a pair of benchmarks: discretized partial differential equations and…

Machine Learning · Statistics 2022-10-17 Alexander New , Benjamin Eng , Andrea C. Timm , Andrew S. Gearhart

Addressing high-dimensional partial differential equations to derive effective actions within the functional renormalization group is formidable, especially when considering various field configurations, including inhomogeneous states, even…

Disordered Systems and Neural Networks · Physics 2024-08-05 Takeru Yokota

Because the cochlear is very small and complex, vibration data of the whole basement membrane are not yet available from existing experiments, To address this question, this work technically adopts the mathematical and biological methods to…

Biological Physics · Physics 2021-01-12 W. Yao , J. Ma , J. Liang , X. Huang

A method for estimating the incident sound field inside a region containing scattering objects is proposed. The sound field estimation method has various applications, such as spatial audio capturing and spatial active noise control;…

Sound · Computer Science 2023-09-12 Shoichi Koyama , Masaki Nakada , Juliano G. C. Ribeiro , Hiroshi Saruwatari

This letter studies the low-complexity channel estimation for orthogonal time frequency space (OTFS) in the presence of hardware impairments. Firstly, to tackle the computational complexity of channel estimation, the basis expansion model…

Signal Processing · Electrical Eng. & Systems 2025-02-07 Haowei Wu , Huanyu Chen , Qihao Peng , Qu Luo , Jinglan Ou

In this study, we introduce a method for estimating sound fields in reverberant environments using a conditional invertible neural network (CINN). Sound field reconstruction can be hindered by experimental errors, limited spatial data,…

Audio and Speech Processing · Electrical Eng. & Systems 2024-04-11 Xenofon Karakonstantis , Efren Fernandez-Grande , Peter Gerstoft

The spin torque ferromagnetic resonance (STFMR) is one of the popular methods for measurement of the spin Hall angle (SHA). However, in order to accurately determine SHA from STFMR measurements, the acquired data must be carefully analyzed:…

Strongly Correlated Electrons · Physics 2021-08-25 Ranen Ben-Shalom , Nirel Bernstein , See-Hun Yang , Amir Capua

In speaker recognition, where speech segments are mapped to embeddings on the unit hypersphere, two scoring backends are commonly used, namely cosine scoring or PLDA. Both have advantages and disadvantages, depending on the context. Cosine…

We apply physics-informed neural networks (PINNs) to first-order two-scale periodic asymptotic homogenization of the property tensor in a generic elliptic equation. The problem of lack of differentiability of property tensors at the sharp…

Materials Science · Physics 2023-01-25 Celal Soyarslan , Marc Pradas

Several recent works in scientific machine learning have revived interest in the application of neural networks to partial differential equations (PDEs). A popular approach is to aggregate the residual form of the governing PDE and its…

Machine Learning · Computer Science 2023-09-13 Shamsulhaq Basir , Inanc Senocak

This paper concerns mathematical formulation of well-known MUltiple SIgnal Classification (MUSIC)-type imaging functional in the inverse scattering problem by an open sound-hard arc. Based on the physical factorization of so-called…

Numerical Analysis · Mathematics 2018-01-09 Won-Kwang Park

A differential microphone array (DMA) offers enhanced capabilities to obtain sharp nulls at the cost of relatively broad peaks in the beam power pattern. This can be used for applications that require nullification or attenuation of…

Signal Processing · Electrical Eng. & Systems 2025-06-27 Shweta Pal , Arun Kumar , Monika Agrawal

Phonons traveling in solid-state devices are emerging as a universal excitation that can couple to different physical systems through mechanical interaction. At microwave frequencies and in solid-state materials, phonons have a similar…

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for solving differential equations by integrating physical laws into the learning process. This work leverages PINNs to simulate gravitational collapse, a critical…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-04 Ashutosh Kumar Mishra , Emma Tolley

The power spectrum of cosmic microwave background (CMB) lensing will be measured to sub-percent precision with upcoming surveys, enabling tight constraints on the sum of neutrino masses and other cosmological parameters. Measuring the…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-18 Mathew S. Madhavacheril , Kendrick M. Smith , Blake D. Sherwin , Sigurd Naess

The acoustic environment can degrade speech quality during communication (e.g., video call, remote presentation, outside voice recording), and its impact is often unknown. Objective metrics for speech quality have proven challenging to…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-30 Karl El Hajal , Milos Cernak , Pablo Mainar

Spectral-sirens inference enables the extraction of cosmological parameters from gravitational-wave data alone, without electromagnetic counterparts or galaxy catalogs. We introduce new parametric mass functions for the binary black hole…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Tom Bertheas , Vasco Gennari , Danièle Steer , Nicola Tamanini

The high sensitivity of the new generation of radio telescopes such as the Square Kilometre Array (SKA) will allow cosmological weak lensing measurements at radio wavelengths that are competitive with optical surveys. We present an…

Instrumentation and Methods for Astrophysics · Physics 2016-09-23 Marzia Rivi , Lance Miller , Sphesihle Makhathini , Filipe Batoni Abdalla

Studying physics-informed neural networks (PINNs) for modeling partial differential equations to solve the acoustic wave field has produced promising results for simple geometries in two-dimensional domains. One option is to compute the…

Computational Engineering, Finance, and Science · Computer Science 2025-06-16 Stefan Schoder , Aneta Furmanová , Viktor Hruška

This work presents the construction of a novel spherical wavelet basis designed for incomplete spherical datasets, i.e. datasets which are missing in a particular region of the sphere. The eigenfunctions of the Slepian spatial-spectral…

Information Theory · Computer Science 2023-04-24 Patrick J. Roddy , Jason D. McEwen
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