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This research explores a novel paradigm for preserving topological segmentations in existing error-bounded lossy compressors. Today's lossy compressors rarely consider preserving topologies such as Morse-Smale complexes, and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-08 Yuxiao Li , Xin Liang , Bei Wang , Yongfeng Qiu , Lin Yan , Hanqi Guo

This paper describes the adaptation of a well-scaling parallel algorithm for computing Morse-Smale segmentations based on path compression to a distributed computational setting. Additionally, we extend the algorithm to efficiently compute…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-09 Michael Will , Jonas Lukasczyk , Julien Tierny , Christoph Garth

Scientific applications are generating unprecedented volumes of data that overwhelm storage and transmission systems, posing significant challenges for the design of data management tools and scientific databases. Lossy compression has…

Graphics · Computer Science 2026-04-09 Yuxiao Li , Mingze Xia , Xin Liang , Bei Wang , Hanqi Guo

This paper presents a well-scaling parallel algorithm for the computation of Morse-Smale (MS) segmentations, including the region separators and region boundaries. The segmentation of the domain into ascending and descending manifolds,…

Particle-based simulations and point-cloud applications generate massive, irregular datasets that challenge storage, I/O, and real-time analytics. Traditional compression techniques struggle with irregular particle distributions and GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-15 Ruoyu Li , Yafan Huang , Longtao Zhang , Zhuoxun Yang , Sheng Di , Jiajun Huang , Jinyang Liu , Jiannan Tian , Xin Liang , Guanpeng Li , Hanqi Guo , Franck Cappello , Kai Zhao

This paper introduces EXaCTz, a parallel algorithm that concurrently preserves extremum graphs and contour trees in lossy-compressed scalar field data. While error-bounded lossy compression is essential for large-scale scientific…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-03 Yuxiao Li , Mingze Xia , Xin Liang , Bei Wang , Hanqi Guo

The Morse-Smale complex is a well studied topological structure that represents the gradient flow behavior between critical points of a scalar function. It supports multi-scale topological analysis and visualization of feature-rich…

Graphics · Computer Science 2023-11-07 Varshini Subhash , Karran Pandey , Vijay Natarajan

This paper presents a new algorithm for the lossy compression of scalar data defined on 2D or 3D regular grids, with topological control. Certain techniques allow users to control the pointwise error induced by the compression. However, in…

Image and Video Processing · Electrical Eng. & Systems 2018-02-09 Maxime Soler , Melanie Plainchault , Bruno Conche , Julien Tierny

Error-bounded lossy compression is a critical technique for significantly reducing scientific data volumes. With ever-emerging heterogeneous high-performance computing (HPC) architecture, GPU-accelerated error-bounded compressors (such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-07 Jiannan Tian , Sheng Di , Xiaodong Yu , Cody Rivera , Kai Zhao , Sian Jin , Yunhe Feng , Xin Liang , Dingwen Tao , Franck Cappello

The persistence diagram, which describes the topological features of a dataset, is a key descriptor in Topological Data Analysis. The "Discrete Morse Sandwich" (DMS) method has been reported to be the most efficient algorithm for computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-27 Eve Le Guillou , Pierre Fortin , Julien Tierny

We propose a distributed bundle adjustment (DBA) method using the exact Levenberg-Marquardt (LM) algorithm for super large-scale datasets. Most of the existing methods partition the global map to small ones and conduct bundle adjustment in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Maoteng Zheng , Nengcheng Chen , Junfeng Zhu , Xiaoru Zeng , Huanbin Qiu , Yuyao Jiang , Xingyue Lu , Hao Qu

Existing error-bounded lossy compression techniques control the pointwise error during compression to guarantee the integrity of the decompressed data. However, they typically do not explicitly preserve the topological features in data.…

Information Theory · Computer Science 2023-07-31 Lin Yan , Xin Liang , Hanqi Guo , Bei Wang

The sparse precision matrix plays an essential role in the Gaussian graphical model since a zero off-diagonal element indicates conditional independence of the corresponding two variables given others. In the Gaussian graphical model, many…

Computation · Statistics 2022-03-30 Seunghwan Lee , Sang Cheol Kim , Donghyeon Yu

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

Subspace clustering methods which embrace a self-expressive model that represents each data point as a linear combination of other data points in the dataset provide powerful unsupervised learning techniques. However, when dealing with…

Computer Vision and Pattern Recognition · Computer Science 2023-10-06 Katsuya Hotta , Takuya Akashi , Shogo Tokai , Chao Zhang

This paper introduces a novel technique to preserve spectral features in lossy compression based on a novel fast Fourier correction algorithm\added{ for regular-grid data}. Preserving both spatial and frequency representations of data is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-06 Congrong Ren , Robert Underwood , Sheng Di , Emrecan Kutay , Zarija Lukic , Aylin Yener , Franck Cappello , Hanqi Guo

Lossy compression is widely used to reduce storage and I/O costs for large-scale particle datasets in scientific applications such as cosmology, molecular dynamics, and fluid dynamics, where clustering structures (e.g., single-linkage or…

Machine Learning · Computer Science 2026-04-22 Congrong Ren , Sheng Di , Katrin Heitmann , Franck Cappello , Hanqi Guo

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

With increasing usage of fingerprints as an important biometric data, the need to compress the large fingerprint databases has become essential. The most recommended compression algorithm, even by standards, is JPEG2K. But at high…

Computer Vision and Pattern Recognition · Computer Science 2016-01-12 Hamid Mansouri , Hamid-Reza Pourreza

Reconstructing large-scale latent networks from observed dynamics is crucial for understanding complex systems. However, the existing methods based on compressive sensing are often rendered infeasible in practice by prohibitive…

Statistics Theory · Mathematics 2025-08-20 Zhaoyu Xing , Wei Zhong
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