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The sample compression theory provides generalization guarantees for predictors that can be fully defined using a subset of the training dataset and a (short) message string, generally defined as a binary sequence. Previous works provided…

Machine Learning · Computer Science 2025-03-12 Mathieu Bazinet , Valentina Zantedeschi , Pascal Germain

Topological Data Analysis (TDA) combines computational topology and data science to extract and analyze intrinsic topological and geometric structures in data set in a metric space. While the persistent homology (PH), a widely used tool in…

Computational Geometry · Computer Science 2025-04-15 Chuanshen Hu , Yu Wang , Kelin Xia , Ke Ye , Yipeng Zhang

Unsupervised representation learning methods are widely used for gaining insight into high-dimensional, unstructured, or structured data. In some cases, users may have prior topological knowledge about the data, such as a known cluster…

Machine Learning · Computer Science 2023-11-08 Edith Heiter , Robin Vandaele , Tijl De Bie , Yvan Saeys , Jefrey Lijffijt

As Internet of Things (IoT) devices become both cheaper and more powerful, researchers are increasingly finding solutions to their scientific curiosities both financially and computationally feasible. When operating with restricted power or…

Signal Processing · Electrical Eng. & Systems 2022-06-16 Gary Koplik , Nathan Borggren , Sam Voisin , Gabrielle Angeloro , Jay Hineman , Tessa Johnson , Paul Bendich

Face recognition technology has advanced rapidly and has been widely used in various applications. Due to the extremely huge amount of data of face images and the large computing resources required correspondingly in large-scale face…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Nai Bian , Feng Liang , Haisheng Fu , Bo Lei

An alternative approach to two-part 'critical compression' is presented. Whereas previous results were based on summing a lossless code at reduced precision with a lossy-compressed error or noise term, the present approach uses a similar…

Multimedia · Computer Science 2013-01-03 John Scoville

Weather and climate simulations produce petabytes of high-resolution data that are later analyzed by researchers in order to understand climate change or severe weather. We propose a new method of compressing this multidimensional weather…

Machine Learning · Computer Science 2023-04-17 Langwen Huang , Torsten Hoefler

Deep neural networks (DNNs) are becoming increasingly deeper, wider, and non-linear due to the growing demands on prediction accuracy and analysis quality. When training a DNN model, the intermediate activation data must be saved in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-24 Sian Jin , Guanpeng Li , Shuaiwen Leon Song , Dingwen Tao

Language prediction is constrained by informational entropy intrinsic to language, such that there exists a limit to how accurate any language model can become and equivalently a lower bound to language compression. The most efficient…

Computation and Language · Computer Science 2025-11-14 Benjamin L. Badger , Matthew Neligeorge

Memory and network bandwidth are decisive bottlenecks when handling high-resolution multidimensional data sets in visualization applications, and they increasingly demand suitable data compression strategies. We introduce a novel lossy…

Graphics · Computer Science 2019-03-12 Rafael Ballester-Ripoll , Peter Lindstrom , Renato Pajarola

Handling long-range dependencies in neural architectures has remained a persistent challenge due to computational limitations and inefficient contextual retention mechanisms. Tensorial operations have provided a foundation for restructuring…

Computation and Language · Computer Science 2025-08-11 Larin Tonix , Morgana Baskerville , Nathaniel Stourton , Ophelia Tattershall

Recovering point clouds involves the sequential process of sampling and restoration, yet existing methods struggle to effectively leverage both topological and geometric attributes. To address this, we propose an end-to-end architecture…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Kaiyue Zhou , Zelong Tan , Hongxiao Wang , Ya-Li Li , Shengjin Wang

In general, large datasets enable deep learning models to perform with good accuracy and generalizability. However, massive high-fidelity simulation datasets (from molecular chemistry, astrophysics, computational fluid dynamics (CFD), etc.…

Machine Learning · Computer Science 2022-07-27 Wai Tong Chung , Ki Sung Jung , Jacqueline H. Chen , Matthias Ihme

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

Context-aware compression techniques have gained increasing attention as model sizes continue to grow, introducing computational bottlenecks that hinder efficient deployment. A structured encoding approach was proposed to selectively…

Computation and Language · Computer Science 2025-02-13 Barnaby Schmitt , Alistair Grosvenor , Matthias Cunningham , Clementine Walsh , Julius Pembrokeshire , Jonathan Teel

Today's scientific high performance computing (HPC) applications or advanced instruments are producing vast volumes of data across a wide range of domains, which introduces a serious burden on data transfer and storage. Error-bounded lossy…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Xiaodong Yu , Sheng Di , Kai Zhao , jiannan Tian , Dingwen Tao , Xin Liang , Franck Cappello

Understanding the decision-making processes of large language models is critical given their widespread applications. To achieve this, we aim to connect a formal mathematical framework - zigzag persistence from topological data analysis -…

Computation and Language · Computer Science 2025-06-16 Yuri Gardinazzi , Karthik Viswanathan , Giada Panerai , Alessio Ansuini , Alberto Cazzaniga , Matteo Biagetti

Most machine learning models for structured data encode the structural knowledge of a node by leveraging simple aggregation functions (in neural models, typically a weighted sum) of the information in the node's neighbourhood. Nevertheless,…

Machine Learning · Computer Science 2020-06-18 Daniele Castellana , Davide Bacciu

Neural networks have dramatically increased our capacity to learn from large, high-dimensional datasets across innumerable disciplines. However, their decisions are not easily interpretable, their computational costs are high, and building…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Mackenzie J. Meni , Ryan T. White , Michael Mayo , Kevin Pilkiewicz

With the advancement of computer vision, dynamic 3D reconstruction techniques have seen significant progress and found applications in various fields. However, these techniques generate large amounts of 3D data sequences, necessitating…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Haichao Zhu
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