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Fast Fourier Transform (FFT) is an efficient algorithm to compute the Discrete Fourier Transform (DFT) and its inverse. In this paper, we pay special attention to the description of complex-data FFT. We analyze two common descriptions of…

Numerical Analysis · Computer Science 2011-10-28 Zhengjun Cao , Xiao Fan

The large memory requirements of deep neural networks limit their deployment and adoption on many devices. Model compression methods effectively reduce the memory requirements of these models, usually through applying transformations such…

Machine Learning · Computer Science 2017-11-15 Brandon Reagen , Udit Gupta , Robert Adolf , Michael M. Mitzenmacher , Alexander M. Rush , Gu-Yeon Wei , David Brooks

We expand on recent exciting work of Debris-Alazard, Ducas, and van Woerden [Transactions on Information Theory, 2022], which introduced the notion of basis reduction for codes, in analogy with the extremely successful paradigm of basis…

Data Structures and Algorithms · Computer Science 2024-08-19 Surendra Ghentiyala , Noah Stephens-Davidowitz

The forward-backward representation (FB) is a recently proposed framework (Touati et al., 2023; Touati & Ollivier, 2021) to train behavior foundation models (BFMs) that aim at providing zero-shot efficient policies for any new task…

Machine Learning · Computer Science 2024-12-06 Edoardo Cetin , Ahmed Touati , Yann Ollivier

Motivation: Burrows-Wheeler Transform (BWT) is a common component in full-text indices. Initially developed for data compression, it is particularly powerful for encoding redundant sequences such as pangenome data. However, BWT construction…

Genomics · Quantitative Biology 2025-09-10 Heng Li

New efficient source feature compression solutions are proposed based on a two-stage Walsh-Hadamard Transform (WHT) for Convolutional Neural Network (CNN)-based object classification in underwater robotics. The object images are firstly…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Xueyuan Zhao , Mehdi Rahmati , Dario Pompili

Transforming an input sequence into its constituent k-mers is a fundamental operation in computational genomics. To reduce storage costs associated with k-mer datasets, we introduce and formally analyze MCTR, a novel two-stage algorithm for…

Combinatorics · Mathematics 2025-10-28 H. Z. Q. Chen , S. Kitaev , X. Lang , A. Pyatkin , R. Tang

This paper describes a machine learning algorithm for document (re)ranking, in which queries and documents are firstly encoded using BERT [1], and on top of that a learning-to-rank (LTR) model constructed with TF-Ranking (TFR) [2] is…

Information Retrieval · Computer Science 2020-06-11 Shuguang Han , Xuanhui Wang , Mike Bendersky , Marc Najork

Neural network weights are increasingly a bottleneck for deployment, yet most compression pipelines treat layers independently and overlook cross-layer redundancy induced by function-preserving symmetries. We propose Motion-Compensated…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Ismail Lamaakal

At the present scenario of the internet, there exist many optimization techniques to improve the Web speed but almost expensive in terms of bandwidth. So after a long investigation on different techniques to compress the data without any…

Information Theory · Computer Science 2014-05-20 Hemant Kumar Saini , Satpal Singh Kushwaha , C. Rama Krishna

Vision transformers have been widely explored in various vision tasks. Due to heavy computational cost, much interest has aroused for compressing vision transformer dynamically in the aspect of tokens. Current methods mainly pay attention…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Fanhu Zeng , Deli Yu , Zhenglun Kong , Hao Tang

Neural compression algorithms are typically based on autoencoders that require specialized encoder and decoder architectures for different data modalities. In this paper, we propose COIN++, a neural compression framework that seamlessly…

Machine Learning · Computer Science 2022-12-09 Emilien Dupont , Hrushikesh Loya , Milad Alizadeh , Adam Goliński , Yee Whye Teh , Arnaud Doucet

The Burrows Wheeler transform has applications in data compression as well as full text indexing. Despite its important applications and various existing algorithmic approaches the construction of the transform for large data sets is still…

Data Structures and Algorithms · Computer Science 2016-04-25 German Tischler

Tensor decompositions play a crucial role in numerous applications related to multi-way data analysis. By employing a Bayesian framework with sparsity-inducing priors, Bayesian Tensor Ring (BTR) factorization offers probabilistic estimates…

Machine Learning · Computer Science 2024-12-05 Zerui Tao , Toshihisa Tanaka , Qibin Zhao

Convolutional neural networks have achieved excellent results in compressed video quality enhancement task in recent years. State-of-the-art methods explore the spatiotemporal information of adjacent frames mainly by deformable convolution.…

Multimedia · Computer Science 2022-10-26 Li Yu , Wenshuai Chang , Shiyu Wu , Moncef Gabbouj

Detecting all the strings that occur in a text more frequently or less frequently than expected according to an IID or a Markov model is a basic problem in string mining, yet current algorithms are based on data structures that are either…

Data Structures and Algorithms · Computer Science 2015-08-13 Djamal Belazzougui , Fabio Cunial

We show how bidirectional transformers trained for masked token prediction can be applied to neural image compression to achieve state-of-the-art results. Such models were previously used for image generation by progressivly sampling groups…

Image and Video Processing · Electrical Eng. & Systems 2023-04-18 Fabian Mentzer , Eirikur Agustsson , Michael Tschannen

An efficient method is introduced in this paper to find the intrinsic mode function (IMF) components of time series data. This method is faster and more predictable than the Empirical Mode Decomposition (EMD) method devised by the author of…

Numerical Analysis · Computer Science 2007-11-14 Louis Yu Lu

A wavelet forest for a text $T [1..n]$ over an alphabet $\sigma$ takes $n H_0 (T) + o (n \log \sigma)$ bits of space and supports access and rank on $T$ in $O (\log \sigma)$ time. K\"arkk\"ainen and Puglisi (2011) implicitly introduced…

Data Structures and Algorithms · Computer Science 2023-08-16 Christina Boucher , Travis Gagie , Aaron Hong , Yansong Li , Norbert Zeh

We show how real-number codes can be used to compress correlated sources and establish a new framework for distributed lossy source coding, in which we quantize compressed sources instead of compressing quantized sources. This change in the…

Information Theory · Computer Science 2013-01-03 Mojtaba Vaezi , Fabrice Labeau