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We present a new algorithm for incrementally updating the tensor train decomposition of a stream of tensor data. This new algorithm, called the {\em tensor train incremental core expansion} (TT-ICE) improves upon the current…

Numerical Analysis · Mathematics 2023-09-19 Doruk Aksoy , David J. Gorsich , Shravan Veerapaneni , Alex A. Gorodetsky

The volume of data and the velocity with which it is being generated by com- putational experiments on high performance computing (HPC) systems is quickly outpacing our ability to effectively store this information in its full fidelity.…

Computation · Statistics 2014-07-14 Henry Scharf , Ryan Elmore , Kenny Gruchalla

The storage of medical images is one of the challenges in the medical imaging field. There are variable works that use implicit neural representation (INR) to compress volumetric medical images. However, there is room to improve the…

Image and Video Processing · Electrical Eng. & Systems 2024-03-14 Armin Sheibanifard , Hongchuan Yu

We introduce the concept of compressed convolution, a technique to convolve a given data set with a large number of non-orthogonal kernels. In typical applications our technique drastically reduces the effective number of computations. The…

Instrumentation and Methods for Astrophysics · Physics 2014-01-08 F. Elsner , B. D. Wandelt

Point clouds have become increasingly vital across various applications thanks to their ability to realistically depict 3D objects and scenes. Nevertheless, effectively compressing unstructured, high-precision point cloud data remains a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Hongning Ruan , Yulin Shao , Qianqian Yang , Liang Zhao , Dusit Niyato

This paper presents a novel scheme to efficiently compress Light Detection and Ranging~(LiDAR) point clouds, enabling high-precision 3D scene archives, and such archives pave the way for a detailed understanding of the corresponding 3D…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Akihiro Kuwabara , Sorachi Kato , Toshiaki Koike-Akino , Takuya Fujihashi

Recently, high-fidelity scene reconstruction with an optimized 3D Gaussian splat representation has been introduced for novel view synthesis from sparse image sets. Making such representations suitable for applications like network…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Simon Niedermayr , Josef Stumpfegger , Rüdiger Westermann

Although deep learning based image compression methods have achieved promising progress these days, the performance of these methods still cannot match the latest compression standard Versatile Video Coding (VVC). Most of the recent…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Yueqi Xie , Ka Leong Cheng , Qifeng Chen

3D Gaussian Splatting is a recognized method for 3D scene representation, known for its high rendering quality and speed. However, its substantial data requirements present challenges for practical applications. In this paper, we introduce…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Soonbin Lee , Fangwen Shu , Yago Sanchez , Thomas Schierl , Cornelius Hellge

Modern visual generative models acquire rich visual knowledge through large-scale training, yet existing visual representations (such as pixels, latents, or tokens) remain external to the model and cannot directly exploit this knowledge for…

Machine Learning · Computer Science 2026-05-25 Zongyu Guo , Jiajun He , Zhaoyang Jia , Xiaoyi Zhang , Jiahao Li , Xiao Li , Bin Li , José Miguel Hernández-Lobato , Yan Lu

This paper develops a strong computational approach to simulate a three-dimensional nonlinear radiation-conduction model in optically thick media, subject to suitable initial and boundary conditions. The space derivatives are approximated…

Numerical Analysis · Mathematics 2026-01-01 Eric Ngondiep

Implicit neural representation (INR) methods for video compression have recently achieved visual quality and compression ratios that are competitive with traditional pipelines. However, due to the need for per-sample network training, the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Matthew Gwilliam , Roy Zhang , Namitha Padmanabhan , Hongyang Du , Abhinav Shrivastava

Coarse Grid Projection (CGP) methodology is used to accelerate the computations of sets of decoupled nonlinear evolutionary and linear static equations. In CGP, the linear equations are solved on a coarsened mesh compared to the nonlinear…

Computational Physics · Physics 2019-04-30 Ali Kashefi

Deep neural networks have achieved strong performance in image classification tasks due to their ability to learn complex patterns from high-dimensional data. However, their large computational and memory requirements often limit deployment…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Sai Shi

In many important applications -- such as search engines and relational database systems -- data is stored in the form of arrays of integers. Encoding and, most importantly, decoding of these arrays consumes considerable CPU time.…

Information Retrieval · Computer Science 2021-02-02 Daniel Lemire , Leonid Boytsov

An out-of-core stencil computation code handles large data whose size is beyond the capacity of GPU memory. Whereas, such an code requires streaming data to and from the GPU frequently. As a result, data movement between the CPU and GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-26 Jingcheng Shen , Xin Deng , Yifan Wu , Masao Okita , Fumihiko Ino

As parallel computing trends towards the exascale, scientific data produced by high-fidelity simulations are growing increasingly massive. For instance, a simulation on a three-dimensional spatial grid with 512 points per dimension that…

Numerical Analysis · Computer Science 2017-01-05 Woody Austin , Grey Ballard , Tamara G. Kolda

Stencil computation is an important class of scientific applications that can be efficiently executed by graphics processing units (GPUs). Out-of-core approach helps run large scale stencil codes that process data with sizes larger than the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-14 Jingcheng Shen , Yifan Wu , Masao Okita , Fumihiko Ino

As nowadays Machine Learning (ML) techniques are generating huge data collections, the problem of how to efficiently engineer their storage and operations is becoming of paramount importance. In this article we propose a new lossless…

Data Structures and Algorithms · Computer Science 2022-03-31 Paolo Ferragina , Travis Gagie , Dominik Köppl , Giovanni Manzini , Gonzalo Navarro , Manuel Striani , Francesco Tosoni

We focus on implementing and optimizing a sixth-order finite-difference solver for simulating compressible fluids on a GPU using third-order Runge-Kutta integration. Since graphics processing units perform well in data-parallel tasks, this…

Computational Physics · Physics 2017-07-28 Johannes Pekkilä , Miikka S. Väisälä , Maarit J. Käpylä , Petri J. Käpylä , Omer Anjum
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