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Chordal decomposition techniques are used to reduce large structured positive semidefinite matrix constraints in semidefinite programs (SDPs). The resulting equivalent problem contains multiple smaller constraints on the nonzero blocks (or…

Optimization and Control · Mathematics 2020-09-10 Michael Garstka , Mark Cannon , Paul Goulart

Molecule generation is central to a variety of applications. Current attention has been paid to approaching the generation task as subgraph prediction and assembling. Nevertheless, these methods usually rely on hand-crafted or external…

Machine Learning · Computer Science 2022-12-20 Xiangzhe Kong , Wenbing Huang , Zhixing Tan , Yang Liu

Motivation: Transcriptome sequencing has long been the favored method for quickly and inexpensively obtaining the sequences for a large number of genes from an organism with no reference genome. With the rapidly increasing throughputs and…

Cell nuclei segmentation is one of the most important tasks in the analysis of biomedical images. With ever-growing sizes and amounts of three-dimensional images to be processed, there is a need for better and faster segmentation methods.…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Julian Arz , Peter Sanders , Johannes Stegmaier , Ralf Mikut

This work introduces a kernel-independent, multilevel, adaptive algorithm for efficiently evaluating a discrete convolution kernel with a given source distribution. The method is based on linear algebraic tools such as low rank…

Numerical Analysis · Mathematics 2025-07-11 Anna Yesypenko , Chao Chen , Per-Gunnar Martinsson

Convolutional dictionary learning (CDL) estimates shift invariant basis adapted to multidimensional data. CDL has proven useful for image denoising or inpainting, as well as for pattern discovery on multivariate signals. As estimated…

Machine Learning · Computer Science 2019-01-29 Thomas Moreau , Alexandre Gramfort

In recent years, kernel methods are widespread in tasks of similarity measuring. Specifically, graph kernels are widely used in fields of bioinformatics, chemistry and financial data analysis. However, existing methods, especially entropy…

Machine Learning · Computer Science 2023-03-27 Chengyu Sun , Xing Ai , Zhihong Zhang , Edwin R Hancock

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

Recognizing human activities in a sequence is a challenging area of research in ubiquitous computing. Most approaches use a fixed size sliding window over consecutive samples to extract features---either handcrafted or learned…

Computer Vision and Pattern Recognition · Computer Science 2017-02-22 Rui Yao , Guosheng Lin , Qinfeng Shi , Damith Ranasinghe

We introduce a parallel algorithmic architecture for metagenomic sequence assembly, termed MetaPar, which allows for significant reductions in assembly time and consequently enables the processing of large genomic datasets on computers with…

Quantitative Methods · Quantitative Biology 2013-11-18 Minji Kim , Jonathan G. Ligo , Amin Emad , Farzad Farnoud , Olgica Milenkovic , Venugopal V. Veeravalli

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

Several efficient distributed algorithms have been developed for matrix-matrix multiplication: the 3D algorithm, the 2D SUMMA algorithm, and the 2.5D algorithm. Each of these algorithms was independently conceived and they trade-off memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-29 Rui Li , Yufan Xu , Aravind Sukumaran-Rajam , Atanas Rountev , P Sadayappan

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

Repetitive DNA (repeats) poses significant challenges for accurate and efficient genome assembly and sequence alignment. This is particularly true for metagenomic data, where genome dynamics such as horizontal gene transfer, gene…

Machine Learning · Computer Science 2024-02-15 Ali Azizpour , Advait Balaji , Todd J. Treangen , Santiago Segarra

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Graph-based semi-supervised learning usually involves two separate stages, constructing an affinity graph and then propagating labels for transductive inference on the graph. It is suboptimal to solve them independently, as the correlation…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 Qilin Li , Senjian An , Ling Li , Wanquan Liu

This paper introduces a framework for distributed parallel image signal extrapolation. Since high-quality image signal processing often comes along with a high computational complexity, a parallel execution is desirable. The proposed…

Image and Video Processing · Electrical Eng. & Systems 2022-07-04 Jürgen Seiler , André Kaup

The increasing complexity of deep learning recommendation models (DLRM) has led to a growing need for large-scale distributed systems that can efficiently train vast amounts of data. In DLRM, the sparse embedding table is a crucial…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-07 Xin Zhang , Quanyu Zhu , Liangbei Xu , Zain Huda , Wang Zhou , Jin Fang , Dennis van der Staay , Yuxi Hu , Jade Nie , Jiyan Yang , Chunzhi Yang

Graph clustering aims to divide the graph into different clusters. The recently emerging deep graph clustering approaches are largely built on graph neural networks (GNN). However, GNN is designed for general graph encoding and there is a…

Machine Learning · Computer Science 2025-04-28 Zhiyuan Ning , Zaitian Wang , Ran Zhang , Ping Xu , Kunpeng Liu , Pengyang Wang , Wei Ju , Pengfei Wang , Yuanchun Zhou , Erik Cambria , Chong Chen

This paper presents new parallel algorithms for generating Euclidean minimum spanning trees and spatial clustering hierarchies (known as HDBSCAN$^*$). Our approach is based on generating a well-separated pair decomposition followed by using…

Data Structures and Algorithms · Computer Science 2021-04-05 Yiqiu Wang , Shangdi Yu , Yan Gu , Julian Shun