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Matrix multiplication is the foundation from much of the success from high performance technologies like deep learning, scientific simulations, and video graphics. High level programming languages like Python and R rely on highly optimized…

Performance · Computer Science 2025-09-08 Ethan Davis

In the process of knowledge discovery and representation in large datasets using formal concept analysis, complexity plays a major role in identifying all the formal concepts and constructing the concept lattice(digraph of the concepts).…

Artificial Intelligence · Computer Science 2018-07-09 Raghavendra K Chunduri , Aswani Kumar Cherukuri

The inference and training stages of Graph Neural Networks (GNNs) are often dominated by the time required to compute a long sequence of matrix multiplications between the sparse graph adjacency matrix and its embedding. To accelerate these…

Data Structures and Algorithms · Computer Science 2024-09-05 João N. F. Alves , Samir Moustafa , Siegfried Benkner , Alexandre P. Francisco , Wilfried N. Gansterer , Luís M. S. Russo

Large-scale distributed training is increasingly becoming communication bound. Many gradient compression algorithms have been proposed to reduce the communication overhead and improve scalability. However, it has been observed that in some…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-30 Zhuang Wang , Xinyu Wu , T. S. Eugene Ng

Data movement is the dominating factor affecting performance and energy in modern computing systems. Consequently, many algorithms have been developed to minimize the number of I/O operations for common computing patterns. Matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Johannes de Fine Licht , Grzegorz Kwasniewski , Torsten Hoefler

It is known that the multiplication of an $N \times M$ matrix with an $M \times P$ matrix can be performed using fewer multiplications than what the naive $NMP$ approach suggests. The most famous instance of this is Strassen's algorithm for…

Artificial Intelligence · Computer Science 2023-07-18 Arnaud Deza , Chang Liu , Pashootan Vaezipoor , Elias B. Khalil

Parallel matrix multiplication is one of the most studied fundamental problems in distributed and high performance computing. We obtain a new parallel algorithm that is based on Strassen's fast matrix multiplication and minimizes…

Data Structures and Algorithms · Computer Science 2012-02-16 Grey Ballard , James Demmel , Olga Holtz , Benjamin Lipshitz , Oded Schwartz

Optimizing trajectory costs for nonlinear control systems remains a significant challenge. Model Predictive Control (MPC), particularly sampling-based approaches such as the Model Predictive Path Integral (MPPI) method, has recently…

Robotics · Computer Science 2025-04-10 Fanxin Wang , Haolong Jiang , Chuyuan Tao , Wenbin Wan , Yikun Cheng

Asymmetric multicore processors (AMPs) couple high-performance big cores and low-power small cores with the same instruction-set architecture but different features, such as clock frequency or microarchitecture. Previous work has shown that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-13 Juan Carlos Saez , Fernando Castro , Manuel Prieto-Matias

Classic cache-oblivious parallel matrix multiplication algorithms achieve optimality either in time or space, but not both, which promotes lots of research on the best possible balance or tradeoff of such algorithms. We study modern…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-14 Yuan Tang

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

Trading off performance guarantees in favor of scalability, the Multi-Agent Path Finding (MAPF) community has recently started to embrace Multi-Agent Reinforcement Learning (MARL), where agents learn to collaboratively generate individual,…

Robotics · Computer Science 2023-09-01 Yutong Wang , Bairan Xiang , Shinan Huang , Guillaume Sartoretti

Reinforcement learning has empowered large language models to act as intelligent agents, yet training them for long-horizon tasks remains challenging due to the scarcity of high-quality trajectories, especially under limited resources.…

Machine Learning · Computer Science 2026-01-29 Jinyang Wu , Shuo Yang , Changpeng Yang , Yuhao Shen , Shuai Zhang , Zhengqi Wen , Jianhua Tao

Synthetic data has become increasingly important for training large language models, especially when real data is scarce, expensive, or privacy-sensitive. Many such generation tasks require coordinated multi-agent workflows, where…

The sparse matrix-vector (SpMV) multiplication is an important computational kernel, but it is notoriously difficult to execute efficiently. This paper investigates algorithm performance for unstructured sparse matrices, which are more…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

Parallel architectures are continually increasing in performance and scale, while underlying algorithmic infrastructure often fail to take full advantage of available compute power. Within the context of MPI, irregular communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-04 Andrew Geyko , Gerald Collom , Derek Schafer , Patrick Bridges , Amanda Bienz

Internet companies are facing the need for handling large-scale machine learning applications on a daily basis and distributed implementation of machine learning algorithms which can handle extra-large scale tasks with great performance is…

Machine Learning · Computer Science 2020-03-17 Ya-Lin Zhang , Jun Zhou , Wenhao Zheng , Ji Feng , Longfei Li , Ziqi Liu , Ming Li , Zhiqiang Zhang , Chaochao Chen , Xiaolong Li , Zhi-Hua Zhou , YUAN , QI

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

Machine Learning · Computer Science 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

Recently, crossbar array based in-memory accelerators have been gaining interest due to their high throughput and energy efficiency. While software and compiler support for the in-memory accelerators has also been introduced, they are…

Hardware Architecture · Computer Science 2025-01-14 Jihoon Park , Jeongin Choe , Dohyun Kim , Jae-Joon Kim

We propose and analyze a compact and non-volatile nanomagnetic (all-spin) non-binary matrix multiplier performing the multiply-and-accumulate (MAC) operation using two magnetic tunnel junctions - one activated by strain to act as the…

Emerging Technologies · Computer Science 2023-02-28 Rahnuma Rahman , Supriyo Bandyopadhyay