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With the growing demand for non-Euclidean data analysis, graph signal processing (GSP) has gained significant attention for its capability to handle complex time-varying data. This paper introduces a novel sampling method based on the joint…

综合数学 · 数学 2025-06-03 Yu Zhang , Bing-Zhao Li

We treat collaborative filtering as a univariate time series estimation problem: given a user's previous votes, predict the next vote. We describe two families of methods for transforming data to encode time order in ways amenable to…

信息检索 · 计算机科学 2013-01-14 Andrew Zimdars , David Maxwell Chickering , Christopher Meek

Recent development in deep learning techniques has attracted attention in decoding and classification in EEG signals. Despite several efforts utilizing different features of EEG signals, a significant research challenge is to use…

机器学习 · 计算机科学 2020-06-09 Avinash Kumar Singh , Chin-Teng Lin

We study the problem of sampling a random signal with sparse support in frequency domain. Shannon famously considered a scheme that instantaneously samples the signal at equispaced times. He proved that the signal can be reconstructed as…

信息论 · 计算机科学 2012-11-22 Adel Javanmard , Andrea Montanari

The very old problem of extracting frequencies from time signals is addressed in the case of signals that are very short as compared to their intrinsic time scales. The solution of the problem is not only important to the classic signal…

量子物理 · 物理学 2007-05-23 Zbyszek P. Karkuszewski

Optimal sampling of non band-limited functions is an issue of great importance that has attracted considerable attention. We propose to tackle this problem through the use of a frequency warping: First, by a nonlinear shrinking of…

经典分析与常微分方程 · 数学 2017-03-07 Stefan Lafon , Jacques Lévy Véhel , Jacques Peyrière

This paper consists of two parts. First, the (undirected) Hamiltonian path problem is reduced to a signal filtering problem - number of Hamiltonian paths becomes amplitude at zero frequency for (a combination of) sinusoidal signal f(t) that…

其他计算机科学 · 计算机科学 2021-04-06 Bryce Kim

We consider audio decoding as an inverse problem and solve it through diffusion posterior sampling. Explicit conditioning functions are developed for input signal measurements provided by an example of a transform domain perceptual audio…

音频与语音处理 · 电气工程与系统科学 2024-09-13 Pedro J. Villasana T. , Lars Villemoes , Janusz Klejsa , Per Hedelin

This paper investigates inverse source problems for time-dependent electromagnetic waves governed by Maxwell's equations. After applying the Fourier transform with respect to time, the problem leads to a frequency-domain electromagnetic…

数值分析 · 数学 2026-03-11 Fenglin Sun , Hongxia Guo

A novel approach to improving the performances of confocal scanning imaging is proposed. We experimentally demonstrate its feasibility using acoustic waves. It relies on a new way to encode spatial information using the temporal dimension.…

Reliably transmitting messages despite information loss due to a noisy channel is a core problem of information theory. One of the most important aspects of real world communication, e.g. via wifi, is that it may happen at varying levels of…

机器学习 · 计算机科学 2020-04-02 Karen Ullrich , Fabio Viola , Danilo Jimenez Rezende

I outline a signal resampling strategy for aligning event times between time series trials in contexts where significant event times like onsets and offsets vary between trials. These variations prevent direct comparisons of trials in…

信号处理 · 电气工程与系统科学 2023-02-02 Eric Easthope

Time series are often complex and rich in information but sparsely labeled and therefore challenging to model. In this paper, we propose a self-supervised framework for learning generalizable representations for non-stationary time series.…

机器学习 · 计算机科学 2021-06-03 Sana Tonekaboni , Danny Eytan , Anna Goldenberg

We present a fully automated method for the optimal state space reconstruction from univariate and multivariate time series. The proposed methodology generalizes the time delay embedding procedure by unifying two promising ideas in a…

数据分析、统计与概率 · 物理学 2021-05-26 K. H. Krämer , G. Datseris , J. Kurths , I. Z. Kiss , J. L. Ocampo-Espindola , N. Marwan

This paper addresses the problem of efficiently jointly representing a non-stationary multicomponent signal in time and frequency. We introduce a novel enhancement of the time-reassigned synchrosqueezing method designed to compute sharpened…

信号处理 · 电气工程与系统科学 2019-07-23 Dominique Fourer , François Auger

A new algorithm for estimating the time-varying frequency of a noiseless sinusoidal signal is considered. It is assumed that the amplitude and frequency of the sinusoidal signal are unknown functions of time, but are solutions of linear…

动力系统 · 数学 2021-10-13 A. A. Bobtsov , N. A. Nikolaev , O. V. Oskina , S. I. Nizovtsev

The decomposition of non-stationary signals is an important and challenging task in the field of signal time-frequency analysis. In the recent two decades, many signal decomposition methods led by the empirical mode decomposition, which was…

机器学习 · 计算机科学 2023-07-06 Feng Zhou , Antonio Cicone , Haomin Zhou

We address the problem of estimating time and frequency shifts of a known waveform in the presence of multiple measurement vectors (MMVs). This problem naturally arises in radar imaging and wireless communications. Specifically, a signal…

信息论 · 计算机科学 2021-03-01 Maral Safari , Sajad Daei , Farzan Haddadi

This paper investigates the problem of dynamical sampling for graph signals influenced by a constant source term. We consider signals evolving over time according to a linear dynamical system on a graph, where both the initial state and the…

数值分析 · 数学 2025-09-23 Le Gong , Longxiu Huang

The vast majority of sampling systems operate in a standard way: at each tick of a fixed-frequency master clock a digitizer reads out a voltage that corresponds to the value of some physical quantity and translates it into a bit pattern…

数据分析、统计与概率 · 物理学 2009-11-13 Edoardo Milotti