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Most of the world's digital data is currently encoded in a sequential form, and compression methods for sequences have been studied extensively. However, there are many types of non-sequential data for which good compression techniques are…

Information Theory · Computer Science 2016-01-15 Christian Steinruecken

Scientific computations or measurements may result in huge volumes of data. Often these can be thought of representing a real-valued function on a high-dimensional domain, and can be conceptually arranged in the format of a tensor of high…

Numerical Analysis · Mathematics 2019-09-24 Mike Espig , Wolfgang Hackbusch , Alexander Litvinenko , Hermann G. Matthies , Elmar Zander

Meshless methods are often used in numerical simulations of systems of partial differential equations (PDEs), particularly those which involve complex geometries or free surfaces. Here we present a novel compact scheme based on the local…

Numerical Analysis · Mathematics 2026-03-13 Henry M. Broadley , Steven J. Lind , Jack R. C. King

Learning-based lossless image compression employs pixel-based or subimage-based auto-regression for probability estimation, which achieves desirable performances. However, the existing works only consider context dependencies in one…

Image and Video Processing · Electrical Eng. & Systems 2025-03-17 Tiantian Li , Qunbing Xia , Yue Li , Ruixiao Guo , Gaobo Yang

This paper presents an innovative approach to mitigating the peak-to-average power ratio (PAPR). The proposed method uses a deep learning model called autoencoders (AEs) to simplify the process and avoid the complex calculations of…

Signal Processing · Electrical Eng. & Systems 2025-03-03 Omar Alnaseri , Ibtesam R. K. Al-Saedi , Yassine Himeur , Hongxiang Li

This paper introduces Associative Compression Networks (ACNs), a new framework for variational autoencoding with neural networks. The system differs from existing variational autoencoders (VAEs) in that the prior distribution used to model…

Neural and Evolutionary Computing · Computer Science 2018-04-27 Alex Graves , Jacob Menick , Aaron van den Oord

It plays a fundamental role to compactly represent the visual information towards the optimization of the ultimate utility in myriad visual data centered applications. With numerous approaches proposed to efficiently compress the texture…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Shurun Wang , Shiqi Wang , Wenhan Yang , Xinfeng Zhang , Shanshe Wang , Siwei Ma , Wen Gao

Variational Autoencoders and their many variants have displayed impressive ability to perform dimensionality reduction, often achieving state-of-the-art performance. Many current methods however, struggle to learn good representations in…

Machine Learning · Computer Science 2023-06-28 Navindu Leelarathna , Andrei Margeloiu , Mateja Jamnik , Nikola Simidjievski

The semantic matching capabilities of neural information retrieval can ameliorate synonymy and polysemy problems of symbolic approaches. However, neural models' dense representations are more suitable for re-ranking, due to their…

Computation and Language · Computer Science 2021-10-18 Kyoung-Rok Jang , Junmo Kang , Giwon Hong , Sung-Hyon Myaeng , Joohee Park , Taewon Yoon , Heecheol Seo

Recent technological advancements have led to the generation of huge amounts of data over the web, such as text, image, audio and video. Most of this data is high dimensional and sparse, for e.g., the bag-of-words representation used for…

Information Theory · Computer Science 2017-08-17 Rameshwar Pratap , Ishan Sohony , Raghav Kulkarni

Representation learning often plays a critical role in reinforcement learning by managing the curse of dimensionality. A representative class of algorithms exploits a spectral decomposition of the stochastic transition dynamics to construct…

Machine Learning · Computer Science 2023-03-08 Tongzheng Ren , Tianjun Zhang , Lisa Lee , Joseph E. Gonzalez , Dale Schuurmans , Bo Dai

While recent neural codecs achieve strong performance at low bitrates when optimized for perceptual quality, their effectiveness deteriorates significantly under ultra-low bitrate conditions. To mitigate this, generative compression methods…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Chuqin Zhou , Xiaoyue Ling , Yunuo Chen , Jincheng Dai , Guo Lu , Wenjun Zhang

Homomorphic encryption enables arbitrary computation over data while it remains encrypted. This privacy-preserving feature is attractive for machine learning, but requires significant computational time due to the large overhead of the…

Cryptography and Security · Computer Science 2018-11-27 Edward Chou , Josh Beal , Daniel Levy , Serena Yeung , Albert Haque , Li Fei-Fei

Dimension of the encoder output (i.e., the code layer) in an autoencoder is a key hyper-parameter for representing the input data in a proper space. This dimension must be carefully selected in order to guarantee the desired reconstruction…

Machine Learning · Computer Science 2021-02-02 Pedram Fekri , Ali Akbar Safavi , Mehrdad Hosseini Zadeh , Peyman Setoodeh

The emergence of massive data in recent years brings challenges to automatic statistical inference. This is particularly true if the data are too numerous to be read into memory as a whole. Accordingly, new sampling techniques are needed to…

Methodology · Statistics 2021-10-05 Rui Pan , Yingqiu Zhu , Baishan Guo , Xuening Zhu , Hansheng Wang

In recent years, the use of sparse recovery techniques in the approximation of high-dimensional functions has garnered increasing interest. In this work we present a survey of recent progress in this emerging topic. Our main focus is on the…

Numerical Analysis · Mathematics 2017-06-12 Ben Adcock , Simone Brugiapaglia , Clayton G. Webster

In this paper, we propose an efficient approach for the compression and representation of volumetric data utilizing coordinate-based networks and multi-resolution hash encoding. Efficient compression of volumetric data is crucial for…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Sudarshan Devkota , Sumanta Pattanaik

Quantum state tomography, the ability to deduce the density matrix of a quantum system from measured data, is of fundamental importance for the verification of present and future quantum devices. It has been realized in systems with few…

Quantum Physics · Physics 2010-02-22 M. Cramer , M. B. Plenio

Various graphs such as web or social networks may contain up to trillions of edges. Compressing such datasets can accelerate graph processing by reducing the amount of I/O accesses and the pressure on the memory subsystem. Yet, selecting a…

Data Structures and Algorithms · Computer Science 2019-04-30 Maciej Besta , Torsten Hoefler

We give an algorithm that learns a representation of data through compression. The algorithm 1) predicts bits sequentially from those previously seen and 2) has a structure and a number of computations similar to an autoencoder. The…

Computer Vision and Pattern Recognition · Computer Science 2011-08-05 Karol Gregor , Yann LeCun