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Matrix multiplication (MatMul) is the computational backbone of modern machine learning, yet its classical complexity remains a bottleneck for large-scale data processing. We propose a hybrid quantum-classical algorithm for matrix…

Quantum Physics · Physics 2026-04-15 Wladimir Silva

The inherent diversity of computation types within the deep neural network (DNN) models often requires a variety of specialized units in hardware processors, which limits computational efficiency, increasing both inference latency and power…

Machine Learning · Computer Science 2024-08-21 Ruiqi Sun , Siwei Ye , Jie Zhao , Xin He , Jianzhe Lin , Yiran Li , An Zou

Architectures with multiple classes of memory media are becoming a common part of mainstream supercomputer deployments. So called multi-level memories offer differing characteristics for each memory component including variation in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-04 Mehmet Deveci , Simon D. Hammond , Michael M. Wolf , Sivasankaran Rajamanickam

Presented with a new machine with a specific interconnect topology, algorithm designers use intuition about the symmetry of the algorithm to design time and communication-efficient schedules that map the algorithm to the machine. Is there a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Harsha Vardhan Simhadri

Machine scheduling problems involving conflict jobs can be seen as a constrained version of the classical scheduling problem, in which some jobs are conflict in the sense that they cannot be proceeded simultaneously on different machines.…

Data Structures and Algorithms · Computer Science 2021-02-12 Minh Hoàng Hà , Dinh Quy Ta , Trung Thanh Nguyen

We present a novel characterization of the mapping of multiple parallelism forms (e.g. data and model parallelism) onto hierarchical accelerator systems that is hierarchy-aware and greatly reduces the space of software-to-hardware mapping.…

Programming Languages · Computer Science 2021-11-17 Ningning Xie , Tamara Norman , Dominik Grewe , Dimitrios Vytiniotis

We present a distributed-memory library for computations with dense structured matrices. A matrix is considered structured if its off-diagonal blocks can be approximated by a rank-deficient matrix with low numerical rank. Here, we use…

Mathematical Software · Computer Science 2015-06-29 François-Henry Rouet , Xiaoye S. Li , Pieter Ghysels , Artem Napov

Hardware compute power has been growing at an unprecedented rate in recent years. The utilization of such advancements plays a key role in producing better results in less time -- both in academia and industry. However, merging the existing…

Machine Learning · Computer Science 2021-10-19 Vineeth S

This paper addresses the efficient computation of Jacobian matrices for programs composed of sequential differentiable subprograms. By representing the overall Jacobian as a chain product of the Jacobians of these subprograms, we reduce the…

Discrete Mathematics · Computer Science 2025-05-12 Simon Märtens , Uwe Naumann

Training foundation models, such as GPT-3 and PaLM, can be extremely expensive, often involving tens of thousands of GPUs running continuously for months. These models are typically trained in specialized clusters featuring fast,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Binhang Yuan , Yongjun He , Jared Quincy Davis , Tianyi Zhang , Tri Dao , Beidi Chen , Percy Liang , Christopher Re , Ce Zhang

The ability to timely process significant amounts of continuously updated spatial data is mandatory for an increasing number of applications. Parallelism enables such applications to face this data-intensive challenge and allows the devised…

Databases · Computer Science 2014-11-13 Francesco Lettich , Salvatore Orlando , Claudio Silvestri , Christian S. Jensen

To multiply astronomic matrices using parallel workers subject to straggling, we recommend interleaving checksums with some fast matrix multiplication algorithms. Nesting the parity-checked algorithms, we weave a product code flavor…

Information Theory · Computer Science 2022-01-13 Hsin-Po Wang , Iwan Duursma

The world is full of systems of distributed agents, collaborating and competing in complex ways: firms and workers specialise within economies, neurons adapt their tuning across brain circuits, and species compete and coexist within…

Neural and Evolutionary Computing · Computer Science 2026-04-10 Guillhem Artis , Danyal Akarca , Jascha Achterberg

In data centers, up to dozens of tasks are colocated on a single physical machine. Machines are used more efficiently, but tasks' performance deteriorates, as colocated tasks compete for shared resources. As tasks are heterogeneous, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-29 Fanny Pascual , Krzysztof Rzadca

Many important computational problems require utilization of high performance computing (HPC) systems that consist of multi-level structures combining higher and higher numbers of devices with various characteristics. Utilizing full power…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Paweł Rościszewski

In this work, we design and analyze novel distributed scheduling algorithms for multi-user MIMO systems. In particular, we consider algorithms which do not require sending channel state information to a central processing unit, nor do they…

Information Theory · Computer Science 2015-03-20 Joseph Kampeas , Asaf Cohen , Omer Gurewitz

The parallel linear equations solver capable of effectively using 1000+ processors becomes the bottleneck of large-scale implicit engineering simulations. In this paper, we present a new hierarchical parallel master-slave-structural…

Computational Physics · Physics 2015-06-11 Ran Xu , Bin Liu , Yuan Dong

Parallel dataflow systems are a central part of most analytic pipelines for big data. The iterative nature of many analysis and machine learning algorithms, however, is still a challenge for current systems. While certain types of bulk…

Databases · Computer Science 2012-08-02 Stephan Ewen , Kostas Tzoumas , Moritz Kaufmann , Volker Markl

Since real-world objects and their interactions are often multi-modal and multi-typed, heterogeneous networks have been widely used as a more powerful, realistic, and generic superclass of traditional homogeneous networks (graphs).…

Social and Information Networks · Computer Science 2020-12-18 Carl Yang , Yuxin Xiao , Yu Zhang , Yizhou Sun , Jiawei Han

For a team of heterogeneous robots executing multiple tasks, we propose a novel algorithm to optimally allocate tasks to robots while accounting for their different capabilities. Motivated by the need that robot teams have in many…

Robotics · Computer Science 2019-09-04 Gennaro Notomista , Siddharth Mayya , Seth Hutchinson , Magnus Egerstedt