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The paper presents a novel method of finding a fragment in a long temporal sequence similar to the set of shorter sequences. We are the first to propose an algorithm for such a search that does not rely on computing the average sequence…

Data Structures and Algorithms · Computer Science 2024-09-04 Łukasz Borchmann , Dawid Jurkiewicz , Filip Graliński , Tomasz Górecki

In this paper, we propose a novel visual tracking framework that intelligently discovers reliable patterns from a wide range of video to resist drift error for long-term tracking tasks. First, we design a Discrete Fourier Transform (DFT)…

Computer Vision and Pattern Recognition · Computer Science 2016-02-19 Shu Wang , Shaoting Zhang , Wei Liu , Dimitris N. Metaxas

We present a new algorithm for the 2D Sliding Window Discrete Fourier Transform (SWDFT). Our algorithm avoids repeating calculations in overlapping windows by storing them in a tree data-structure based on the ideas of the Cooley- Tukey…

Data Structures and Algorithms · Computer Science 2019-03-01 Lee F. Richardson , William F. Eddy

Similarity search approaches based on graph walks have recently attained outstanding speed-accuracy trade-offs, taking aside the memory requirements. In this paper, we revisit these approaches by considering, additionally, the memory…

Computer Vision and Pattern Recognition · Computer Science 2018-06-07 Matthijs Douze , Alexandre Sablayrolles , Hervé Jégou

Diffusion is commonly used as a ranking or re-ranking method in retrieval tasks to achieve higher retrieval performance, and has attracted lots of attention in recent years. A downside to diffusion is that it performs slowly in comparison…

Computer Vision and Pattern Recognition · Computer Science 2019-01-07 Fan Yang , Ryota Hinami , Yusuke Matsui , Steven Ly , Shin'ichi Satoh

A new algorithm is developed to jointly recover a temporal sequence of images from noisy and under-sampled Fourier data. Specifically, we consider the case where each data set is missing vital information that prevents its (individual)…

Numerical Analysis · Mathematics 2022-05-13 Yao Xiao , Jan Glaubitz , Anne Gelb , Guohui Song

Similarity search retrieves the nearest neighbors of a query vector from a dataset of high-dimensional vectors. As the size of the dataset grows, the cost of performing the distance computations needed to implement a query can become…

Machine Learning · Computer Science 2019-12-20 Soroosh Khoram , Stephen J Wright , Jing Li

We present a theorem concerning the invariance of cross-correlation peak positions, which provides a foundation for a new method for time difference estimation that is potentially faster than the conventional fast Fourier transform (FFT)…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Natsuki Ueno , Ryotaro Sato , Nobutaka Ono

Efficient index structures for fast approximate nearest neighbor queries are required in many applications such as recommendation systems. In high-dimensional spaces, many conventional methods suffer from excessive usage of memory and slow…

The Fast Fourier Transform (FFT) is the most efficiently known way to compute the Discrete Fourier Transform (DFT) of an arbitrary n-length signal, and has a computational complexity of O(n log n). If the DFT X of the signal x has only k…

Information Theory · Computer Science 2015-01-05 Sameer Pawar , Kannan Ramchandran

Recently, video classification attracts intensive research efforts. However, most existing works are based on framelevel visual features, which might fail to model the temporal information, e.g. characteristics accumulated along time. In…

Computer Vision and Pattern Recognition · Computer Science 2016-08-18 Haimin Zhang

Similarity search, the task of identifying objects most similar to a given query object under a specific metric, has gathered significant attention due to its practical applications. However, the absence of coordinate information to…

Databases · Computer Science 2024-05-14 Yifan Zhu , Ruiyao Ma , Baihua Zheng , Xiangyu Ke , Lu Chen , Yunjun Gao

A versatile method is described for the practical computation of the discrete Fourier transforms (DFT) of a continuous function $g(t)$ given by its values $g_{j}$ at the points of a uniform grid $F_{N}$ generated by conjugacy classes of…

Mathematical Physics · Physics 2009-11-10 A. Atoyan , J. Patera

Similarity-preserving hashing is a core technique for fast similarity searches, and it randomly maps data points in a metric space to strings of discrete symbols (i.e., sketches) in the Hamming space. While traditional hashing techniques…

Data Structures and Algorithms · Computer Science 2020-09-25 Shunsuke Kanda , Yasuo Tabei

High-dimensional similarity search underpins modern retrieval systems, yet uniform search strategies fail to exploit the heterogeneous nature of real-world query distributions. We present an adaptive prefiltering framework that leverages…

Information Retrieval · Computer Science 2026-02-27 Teodor-Ioan Calin

This paper describes a method for searching for common sets of descriptors between collections of images. The presented method operates on local interest keypoints, which are generated using the SURF algorithm. The use of a dictionary of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Patryk Najgebauer , Janusz Rygal , Tomasz Nowak , Jakub Romanowski , Leszek Rutkowski , Sviatoslav Voloshynovskiy , Rafal Scherer

When a Convolutional Neural Network is used for on-the-fly evaluation of continuously updating time-sequences, many redundant convolution operations are performed. We propose the method of Deep Shifting, which remembers previously…

Machine Learning · Computer Science 2016-03-14 Koen Groenland , Sander Bohte

The transformer model is known to be computationally demanding, and prohibitively costly for long sequences, as the self-attention module uses a quadratic time and space complexity with respect to sequence length. Many researchers have…

Computation and Language · Computer Science 2025-05-19 Ziwei He , Meng Yang , Minwei Feng , Jingcheng Yin , Xinbing Wang , Jingwen Leng , Zhouhan Lin

Detecting fast-moving objects, such as unmanned aerial vehicle (UAV), from event camera data is challenging due to the sparse, asynchronous nature of the input. Traditional Discrete Fourier Transforms (DFT) are effective at identifying…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Michael Bezick , Majid Sahin

The paper presents a general strategy to solve ordinary differential equations (ODE), where some coefficient depend on the spatial variable and on additional random variables. The approach is based on the application of a recently developed…

Numerical Analysis · Mathematics 2019-07-17 Maximilian Bochmann , Lutz Kämmerer , Daniel Potts