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While multilinear algebra appears natural for studying the multiway interactions modeled by hypergraphs, tensor methods for general hypergraphs have been stymied by theoretical and practical barriers. A recently proposed adjacency tensor is…

Numerical Analysis · Mathematics 2024-04-05 Sinan G. Aksoy , Ilya Amburg , Stephen J. Young

Subgraph counting aims to count occurrences of a template T in a given network G(V, E). It is a powerful graph analysis tool and has found real-world applications in diverse domains. Scaling subgraph counting problems is known to be memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Langshi Chen , Jiayu Li , Ariful Azad , Cenk Sahinalp , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

Over the last two decades, frameworks for distributed-memory parallel computation, such as MapReduce, Hadoop, Spark and Dryad, have gained significant popularity with the growing prevalence of large network datasets. The Massively Parallel…

Data Structures and Algorithms · Computer Science 2022-07-19 Amartya Shankha Biswas , Talya Eden , Quanquan C. Liu , Slobodan Mitrović , Ronitt Rubinfeld

Many problems such as node classification and link prediction in network data can be solved using graph embeddings. However, it is difficult to use graphs to capture non-binary relations such as communities of nodes. These kinds of complex…

Social and Information Networks · Computer Science 2022-01-27 Sepideh Maleki , Donya Saless , Dennis P. Wall , Keshav Pingali

The tensor-vector contraction (TVC) is the most memory-bound operation of its class and a core component of the higher-order power method (HOPM). This paper brings distributed-memory parallelization to a native TVC algorithm for dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-26 Pedro J. Martinez-Ferrer , Albert-Jan Yzelman , Vicenç Beltran

Graph classification is a fundamental task in domains ranging from molecular property prediction to materials design. While graph neural networks (GNNs) achieve strong performance by learning expressive representations via message passing,…

Machine Learning · Computer Science 2025-12-04 Hamed Poursiami , Shay Snyder , Guojing Cong , Thomas Potok , Maryam Parsa

Hyperdimensional Computing (HDC), also known as Vector-Symbolic Architectures (VSA), is a promising framework for the development of cognitive architectures and artificial intelligence systems, as well as for technical applications and…

Artificial Intelligence · Computer Science 2022-01-03 Dmitri A. Rachkovskij

In this article, we focus on the parallel communication cost of multiplying the same vector along two modes of a $3$-dimensional symmetric tensor. This is a key computation in the higher-order power method for determining eigenpairs of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-19 Hussam Al Daas , Grey Ballard , Laura Grigori , Suraj Kumar , Kathryn Rouse , Mathieu Vérité

We study time-series classification (TSC), a fundamental task of time-series data mining. Prior work has approached TSC from two major directions: (1) similarity-based methods that classify time-series based on the nearest neighbors, and…

Machine Learning · Computer Science 2022-01-07 Daochen Zha , Kwei-Herng Lai , Kaixiong Zhou , Xia Hu

Time series classification is an important data mining task that has received a lot of interest in the past two decades. Due to the label scarcity in practice, semi-supervised time series classification with only a few labeled samples has…

Machine Learning · Computer Science 2023-09-08 Wenjie Xi , Arnav Jain , Li Zhang , Jessica Lin

We consider tensors in the Hierarchical Tucker format and suppose the tensor data to be distributed among several compute nodes. We assume the compute nodes to be in a one-to-one correspondence with the nodes of the Hierarchical Tucker…

Numerical Analysis · Mathematics 2017-11-07 Lars Grasedyck , Christian Löbbert

Computing strongly connected components (SCC) is a fundamental problems in graph processing. As today's real-world graphs are getting larger and larger, parallel SCC is increasingly important. SCC is challenging in the parallel setting and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-16 Letong Wang , Xiaojun Dong , Yan Gu , Yihan Sun

We consider the problem of transposing tensors of arbitrary dimension and describe TTC, an open source domain-specific parallel compiler. TTC generates optimized parallel C++/CUDA C code that achieves a significant fraction of the system's…

Mathematical Software · Computer Science 2016-07-06 Paul Springer , Aravind Sankaran , Paolo Bientinesi

We design and develop a work-efficient multithreaded algorithm for sparse matrix-sparse vector multiplication (SpMSpV) where the matrix, the input vector, and the output vector are all sparse. SpMSpV is an important primitive in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-26 Ariful Azad , Aydin Buluc

We present TTC, an open-source parallel compiler for multidimensional tensor transpositions. In order to generate high-performance C++ code, TTC explores a number of optimizations, including software prefetching, blocking, loop-reordering,…

Mathematical Software · Computer Science 2016-03-09 Paul Springer , Jeff R. Hammond , Paolo Bientinesi

Hyperdimensional computing (HDC) is an emerging learning paradigm that computes with high dimensional binary vectors. It is attractive because of its energy efficiency and low latency, especially on emerging hardware -- but HDC suffers from…

Machine Learning · Computer Science 2023-01-06 Tao Yu , Yichi Zhang , Zhiru Zhang , Christopher De Sa

The Tucker tensor decomposition is a natural extension of the singular value decomposition (SVD) to multiway data. We propose to accelerate Tucker tensor decomposition algorithms by using randomization and parallelization. We present two…

Numerical Analysis · Mathematics 2023-06-12 Rachel Minster , Zitong Li , Grey Ballard

A hypergraph is called uniform when every hyperedge contains the same number of vertices, otherwise, it is called non-uniform. In the real world, many systems give rise to non-uniform hypergraphs, such as email networks and co-authorship…

Social and Information Networks · Computer Science 2026-04-22 Changjiang Bu , Haotian Zeng , Qingying Zhang

Semi-supervised semantic segmentation (SSSS) is vital in computational pathology, where dense annotations are costly and limited. Existing methods often rely on pixel-level consistency, which propagates noisy pseudo-labels and produces…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Ha-Hieu Pham , Minh Le , Han Huynh , Nguyen Quoc Khanh Le , Huy-Hieu Pham

We propose a weighted common subgraph (WCS) matching algorithm to find the most similar subgraphs in two labeled weighted graphs. WCS matching, as a natural generalization of the equal-sized graph matching or subgraph matching, finds wide…

Data Structures and Algorithms · Computer Science 2014-11-05 Xu Yang , Hong Qiao , Zhi-Yong Liu
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