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It is shown that a well-known theory of random stationary processes contain contradictions. Integral representations of correlation functions and random stationary processes are investigated further. The new method of struggle with…

Statistics Theory · Mathematics 2011-03-09 V. N. Tibabishev

Noise pollution caused by inflow turbulence is a major problem in many applications, such as propellers and fans. Leading edge noise models, e.g., Amiet's model, are widely applied to predict the noise produced by these applications. This…

Fluid Dynamics · Physics 2021-08-05 F. L. dos Santos , L. Botero-Bolívar , C. H. Venner , L. D. de Santana

As natural predators, owls fly with astonishing stealth due to the sophisticated serrated surface morphology of their feathers that produces advantageous flow characteristics and favorable boundary layer structures. Traditionally, these…

Fundamental frequency is one of the most important characteristics of speech and audio signals. Harmonic model-based fundamental frequency estimators offer a higher estimation accuracy and robustness against noise than the widely used…

Federated fine-tuning offers a promising approach for tuning Large Language Models (LLMs) on edge devices while preserving data privacy. However, fine-tuning these models on edge devices remains challenging due to high memory,…

Machine Learning · Computer Science 2025-12-19 Mohamed Aboelenien Ahmed , Kilian Pfeiffer , Ramin Khalili , Heba Khdr , Jörg Henkel

Dual-encoder-based dense retrieval models have become the standard in IR. They employ large Transformer-based language models, which are notoriously inefficient in terms of resources and latency. We propose Fast-Forward indexes -- vector…

Information Retrieval · Computer Science 2023-11-03 Jurek Leonhardt , Henrik Müller , Koustav Rudra , Megha Khosla , Abhijit Anand , Avishek Anand

Methods are studied to compute the boosting effects produced by the observer motion that modifies and transfers to higher l the isotropic monopole frequency spectrum of the cosmic background. Explicit analytical solutions for spherical…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-11 Tiziana Trombetti , Carlo Burigana , Marco Tucci , Luigi Toffolatti

Combining tensor network techniques with quantum autoregressive moving average models, we quantify the effects of time-correlated noise on quantum algorithms and predict their performance at scale. As a paradigmatic test case, we examine…

Quantum Physics · Physics 2026-03-06 Amit Jamadagni , Gregory Quiroz , Eugene Dumitrescu

In mechanical structures like airplanes, cars and houses, noise is generated and transmitted through vibrations. To take measures to reduce this noise, vibrations need to be simulated with expensive numerical computations. Deep learning…

Machine Learning · Computer Science 2024-12-04 Jan van Delden , Julius Schultz , Christopher Blech , Sabine C. Langer , Timo Lüddecke

In this work, we consider the problem of reconstructing the shape of a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements of the scattered field at multiple frequencies. This problem has important…

Numerical Analysis · Mathematics 2020-10-28 Carlos Borges , Jun Lai

We present a novel approach that integrates unfitted finite element methods and neural networks to approximate partial differential equations on complex geometries. Easy-to-generate background meshes (e.g., a simple Cartesian mesh) that cut…

Numerical Analysis · Mathematics 2025-12-04 Wei Li , Alberto F. Martín , Santiago Badia

Onboard electrostatic suspension inertial sensors are important applications for gravity satellites and space gravitational wave detection missions, and it is important to suppress noise in the measurement signal. Due to the complex…

Geophysics · Physics 2023-05-12 Zhilan Yang , Haoyue Zhang , Peng Xu , Ziren Luo

In this study we investigate the fast image filtering algorithm based on Intro sort algorithm and fast noise reduction of infrared images. Main feature of the proposed approach is that no prior knowledge of noise required. It is developed…

Computer Vision and Pattern Recognition · Computer Science 2014-12-31 Kapil Kumar Gupta , Rizwan Beg , Jitendra Kumar Niranjan

High-fidelity large-eddy simulations (LES) are performed to investigate aeroacoustic characteristics of jets issuing from twin rectangular nozzles with an aspect ratio of 2:1 at two over-expanded conditions and the design condition. For all…

Fluid Dynamics · Physics 2022-08-25 Jinah Jeun , Aatresh Karnam , Gao Jun Wu , Sanjiva K. Lele , Florian Baier , Ephraim J. Gutmark

Under the frequency domain framework for weakly dependent functional time series, a key element is the spectral density kernel which encapsulates the second-order dynamics of the process. We propose a class of spectral density kernel…

Statistics Theory · Mathematics 2018-12-11 Tingyi Zhu , Dimitris N. Politis

We provide a primer to numerical methods based on Taylor series expansions such as generalized finite difference methods and collocation methods. We provide a detailed benchmarking strategy for these methods as well as all data files…

This paper studies low-rank matrix completion in the presence of heavy-tailed and possibly asymmetric noise, where we aim to estimate an underlying low-rank matrix given a set of highly incomplete noisy entries. Though the matrix completion…

Statistics Theory · Mathematics 2022-06-10 Bingyan Wang , Jianqing Fan

Accurate modeling of spatial acoustics is critical for immersive and intelligible audio in confined, resonant environments such as car cabins. Current tuning methods are manual, hardware-intensive, and static, failing to account for…

Sound · Computer Science 2025-10-10 Harshvardhan C. Takawale , Nirupam Roy , Phil Brown

As an extension of the discrete Sommerfeld problems on lattices, the scattering of a time harmonic wave is considered on an infinite square lattice when there exists a pair of semi-infinite cracks or rigid constraints. Due to the presence…

Mathematical Physics · Physics 2023-12-21 Basant Lal Sharma

Recently, leveraging on the development of end-to-end convolutional neural networks (CNNs), deep stereo matching networks have achieved remarkable performance far exceeding traditional approaches. However, state-of-the-art stereo frameworks…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Xiao Song , Xu Zhao , Liangji Fang , Hanwen Hu