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Nonuniform Fourier data are routinely collected in applications such as magnetic resonance imaging, synthetic aperture radar, and synthetic imaging in radio astronomy. To acquire a fast reconstruction that does not require an online inverse…

数值分析 · 数学 2016-10-05 Anne Gelb , Guohui Song

Graph signal processing (GSP) facilitates the analysis of high-dimensional data on non-Euclidean domains by utilizing graph signals defined on graph vertices. In addition to static data, each vertex can provide continuous time-series…

信号处理 · 电气工程与系统科学 2025-02-21 Tuna Alikaşifoğlu , Bünyamin Kartal , Eray Özgünay , Aykut Koç

The 3D Discrete Fourier Transform (DFT) is a technique used to solve problems in disparate fields. Nowadays, the commonly adopted implementation of the 3D-DFT is derived from the Fast Fourier Transform (FFT) algorithm. However, evidence…

Long Time Coherent Integration (LTCI) aims to accumulate target energy through long time integration, which is an effective method for the detection of a weak target. However, for a moving target, defocusing can occur due to range migration…

系统与控制 · 电气工程与系统科学 2024-03-12 Suqi Li , Yihan Wang , Bailu Wang , Giorgio Battistelli , Luigi Chisci , Guolong Cui

Discrete transforms such as the discrete Fourier transform (DFT) or the discrete Hartley transform (DHT) furnish an indispensable tool in signal processing. The successful application of transform techniques relies on the existence of the…

数据结构与算法 · 计算机科学 2015-08-27 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

Approximate dictionary matching is a classic string matching problem (checking if a query string occurs in a collection of strings) with applications in, e.g., spellchecking, online catalogs, geolocation, and web searchers. We present a…

数据结构与算法 · 计算机科学 2016-02-15 Aleksander Cisłak , Szymon Grabowski

This paper develops fast graph Fourier transform (GFT) algorithms with O(n log n) runtime complexity for rank-one updates of the path graph. We first show that several commonly-used audio and video coding transforms belong to this class of…

信号处理 · 电气工程与系统科学 2024-09-16 Samuel Fernández-Menduiña , Eduardo Pavez , Antonio Ortega

Periodicity is often studied in timeseries modelling with autoregressive methods but is less popular in the kernel literature, particularly for higher dimensional problems such as in textures, crystallography, and quantum mechanics. Large…

机器学习 · 统计学 2018-05-15 Anthony Tompkins , Fabio Ramos

I propose a frequency domain adaptation of the Expectation Maximization (EM) algorithm to group a family of time series in classes of similar dynamic structure. It does this by viewing the magnitude of the discrete Fourier transform (DFT)…

机器学习 · 统计学 2015-03-19 Georg M. Goerg

Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity. Among Homogenization methods, the FFT-based Homogenization algorithm has become widely used due to its…

材料科学 · 物理学 2025-04-15 Sascha H. Hauck , Matthias Kabel , Mazen Ali , Nicolas R. Gauger

The Dynamic Time Warping ("DTW") distance is widely used in time series analysis, be it for classification, clustering or similarity search. However, its quadratic time complexity prevents it from scaling. Strategies, based on early…

机器学习 · 计算机科学 2020-10-13 Matthieu Herrmann , Geoffrey I. Webb

Generalized Fourier series with orthogonal polynomial bases have useful applications in several fields, including differential equations, pattern recognition, and image and signal processing. However, computing the generalized Fourier…

数值分析 · 数学 2015-02-09 Ashley Prater

We present a new space-efficient approach, (SparseDTW), to compute the Dynamic Time Warping (DTW) distance between two time series that always yields the optimal result. This is in contrast to other known approaches which typically…

数据库 · 计算机科学 2012-01-17 Ghazi Al-Naymat , Sanjay Chawla , Javid Taheri

Approximate nearest neighbor algorithms are used to speed up nearest neighbor search in a wide array of applications. However, current indexing methods feature several hyperparameters that need to be tuned to reach an acceptable…

数据结构与算法 · 计算机科学 2019-04-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

We propose Deep Feature Factorization (DFF), a method capable of localizing similar semantic concepts within an image or a set of images. We use DFF to gain insight into a deep convolutional neural network's learned features, where we…

机器学习 · 计算机科学 2018-10-09 Edo Collins , Radhakrishna Achanta , Sabine Süsstrunk

Test-time finetuning (TTFT) is a rapidly evolving paradigm that adapts a language model to each prompt by retrieving related sequences, updating the model on them, and then evaluating the prompt. However, TTFT is only practical if it is…

机器学习 · 计算机科学 2026-05-29 Alaa Khamis , Alaa Maalouf

Data mining has been widely recognized as a powerful tool to explore added value from large-scale databases. Finding frequent item sets in databases is a crucial in data mining process of extracting association rules. Many algorithms were…

数据库 · 计算机科学 2010-03-23 M. S. Danessh , C. Balasubramanian , K. Duraiswamy

Most of the FFT methods available for homogenization of the mechanical response use the strain/deformation gradient as unknown, imposing their compatibility using Green's functions or projection operators. This implies the allocation of…

计算工程、金融与科学 · 计算机科学 2019-08-27 Sergio Lucarini , Javier Segurado

Data series similarity search is a core operation for several data series analysis applications across many different domains. However, the state-of-the-art techniques fail to deliver the time performance required for interactive…

数据库 · 计算机科学 2020-09-04 Botao Peng

Motivated by a host of recent applications requiring some amount of redundancy, frames are becoming a standard tool in the signal processing toolbox. In this paper, we study a specific class of frames, known as discrete Fourier transform…

信息论 · 计算机科学 2012-05-23 Mojtaba Vaezi , Fabrice Labeau