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In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

统计理论 · 数学 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

Understanding atomic structures is crucial, yet amorphous materials remain challenging due to their irregular and non-periodic nature. The Wavelet Transform Radial Distribution Function (WT-RDF) offers a physics-based framework for…

材料科学 · 物理学 2026-03-17 Deriyan Senjaya , Stephen Ekaputra Limantoro

We report the development of a hybrid numerical / analytical model capable of mapping the spatially-varying distributions of the local ferromagnetic resonance (FMR) frequency and dynamic magnetic susceptibility in a wide class of patterned…

介观与纳米尺度物理 · 物理学 2019-05-29 C. S. Davies , V. D. Poimanov , V. V. Kruglyak

Despite the broad application of the analytic wavelet transform (AWT), a systematic statistical characterization of its magnitude and phase as inhomogeneous random fields on the time-frequency domain when the input is a random process…

统计理论 · 数学 2025-12-23 Gi-Ren Liu , Yuan-Chung Sheu , Hau-Tieng Wu

Semi-analytical waveform models for black hole binaries require calibration against numerical relativity waveforms to accurately represent the late inspiral and merger, where analytical approximations fail. After the fitting coefficients…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Simone Mezzasoma , Carl-Johan Haster , Caroline B. Owen , Neil J. Cornish , Nicolás Yunes

In this paper, we consider an unknown functional estimation problem in a general nonparametric regression model with the feature of having both multiplicative and additive noise.We propose two new wavelet estimators in this general context.…

统计理论 · 数学 2020-12-25 Christophe Chesneau , Salima El Kolei , Junke Kou , Fabien Navarro

We consider varying-coefficient models for mixed synchronous and asynchronous longitudinal covariates, where asynchronicity refers to the misalignment of longitudinal measurement times within an individual. We propose three different…

统计方法学 · 统计学 2023-05-30 Congmin Liu , Zhuowei Sun , Hongyuan Cao

This paper proposes a tensor-based parametric channel estimation technique for IRS-assisted communication systems with time-varying channel parameters. We exploit the multidimensional structure of the received signal by developing a…

信号处理 · 电气工程与系统科学 2026-05-29 Kenneth B. A. Benício , André L. F. de Almeida , Bruno Sokal , Fazal-E-Asim , Behrooz Makki , Gabor Fodor

We consider the problem of parameter estimation, based on noisy chaotic signals, from the viewpoint of twisted modulation for waveform communication. In particular, we study communication systems where the parameter to be estimated is…

信息论 · 计算机科学 2023-08-02 Neri Merhav

Nonlinear optimisation techniques are commonly employed to minimise complex cost functions, with their effectiveness determined largely by the structure of the underlying error landscape. These methods require initial parameter values, and…

信号处理 · 电气工程与系统科学 2026-03-19 Tilo Strutz

We construct an adaptive asymptotically optimal in the classical norm of the space L(2) of square integrable functions non - parametrical multidimensional time defined signal regaining (adaptive filtration, noise canceller) on the…

数据分析、统计与概率 · 物理学 2008-09-19 Eugene Ostrovsky , Leonid Sirota

Location of non-stationary forced oscillation (FO) sources can be a challenging task, especially in cases under resonance condition with natural system modes, where the magnitudes of the oscillations could be greater in places far from the…

系统与控制 · 电气工程与系统科学 2022-03-22 Pablo Gill Estevez , Pablo Marchi , Francisco Messina , Cecilia Galarza

Our objective is to estimate the unknown compositional input from its output response through an unknown system after estimating the inverse of the original system with a training set. The proposed methods using artificial neural networks…

机器学习 · 计算机科学 2020-01-27 Se Un Park

Non-stationarity is a fundamental challenge in multivariate long-term time series forecasting, often manifested as rapid changes in amplitude and phase. These variations lead to severe distribution shifts and consequently degrade predictive…

机器学习 · 计算机科学 2026-03-19 Yue Hu , Jialiang Tang , Siwei Yu , Baosheng Yu , Jing Zhang , Dacheng Tao

This paper introduces a novel technique for reconstructing the phase of modified spectrograms of audio signals. From the analysis of mixtures of sinusoids we obtain relationships between phases of successive time frames in the…

声音 · 计算机科学 2016-05-25 Paul Magron , Roland Badeau , Bertrand David

In the last decade diffusion MRI has become a powerful tool to non-invasively study white-matter integrity in the brain. Recently many research groups have focused their attention on multi-shell spherical acquisitions with the aim of…

定量方法 · 定量生物学 2011-06-02 A. Daducci , J. D. McEwen , D. Van De Ville , J. -Ph. Thiran , Y. Wiaux

We propose a simple stochastic process for modeling improper or noncircular complex-valued signals. The process is a natural extension of a complex-valued autoregressive process, extended to include a widely linear autoregressive term. This…

统计方法学 · 统计学 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly

Adaptive Local Iterative Filtering (ALIF) is a currently proposed novel time-frequency analysis tool. It has been empirically shown that ALIF is able to separate components and overcome the mode-mixing problem. However, so far its…

数值分析 · 数学 2020-05-12 Antonio Cicone , Hau-Tieng Wu

An algorithm called MUSIC-like algorithm was originally proposed as an alternative method to the MUltiple SIgnal Classification (MUSIC) algorithm for direction-of-arrival (DOA) estimation. Without requiring explicit model order estimation,…

信号处理 · 电气工程与系统科学 2018-11-20 Narong Borijindargoon , Boon Poh Ng

In this paper we construct the first phenomenological waveform model which contains the "complete" $\ell=2$ spherical harmonic mode content for gravitational wave signals emitted by the coalescence of binary black holes with spin…

广义相对论与量子宇宙学 · 物理学 2025-12-19 Maria Rosselló-Sastre , Sascha Husa