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We are concerned with the fastest possible direct numerical solution algorithm for a thin-banded or tridiagonal linear system of dimension $N$ on a distributed computing network of $N$ nodes that is connected in a binary communication tree.…

Numerical Analysis · Mathematics 2018-02-02 Martin Neuenhofen

Executing quantum circuits on currently available quantum computers requires compiling them to a representation that conforms to all restrictions imposed by the targeted architecture. Due to the limited connectivity of the devices' physical…

Quantum Physics · Physics 2023-01-11 Lukas Burgholzer , Sarah Schneider , Robert Wille

In this paper we consider a distributed optimization scenario in which a set of processors aims at minimizing the maximum of a collection of "separable convex functions" subject to local constraints. This set-up is motivated by peak-demand…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-27 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

A three-dimensional (3D) Network-on-Chip (NoC) enables the design of high performance and low power many-core chips. Existing 3D NoCs are inadequate for meeting the ever-increasing performance requirements of many-core processors since they…

Emerging Technologies · Computer Science 2016-08-26 Sourav Das , Janardhan Rao Doppa , Partha Pratim Pande , Krishnendu Chakrabarty

This paper investigates co-scheduling algorithms for processing a set of parallel applications. Instead of executing each application one by one, using a maximum degree of parallelism for each of them, we aim at scheduling several…

Data Structures and Algorithms · Computer Science 2013-05-01 Guillaume Aupy , Manu Shantharam , Anne Benoit , Yves Robert , Padma Raghavan

Modern machine learning workloads use large models, with complex structures, that are very expensive to execute. The devices that execute complex models are becoming increasingly heterogeneous as we see a flourishing of domain-specific…

Machine Learning · Computer Science 2020-11-02 Jakub Tarnawski , Amar Phanishayee , Nikhil R. Devanur , Divya Mahajan , Fanny Nina Paravecino

In recent years, there has been considerable interest in the transformative potential of additive manufacturing (AM) since it allows for producing highly customizable and complex components while reducing lead times and costs. The rise of…

Discrete Mathematics · Computer Science 2023-08-21 Benedikt Zipfel , Felix Tamke , Leopold Kuttner

Graph partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

Data Structures and Algorithms · Computer Science 2024-10-30 Willow Ahrens

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions…

Optimization and Control · Mathematics 2019-07-16 Ferdinando Auricchio , Elena Bonetti , Massimo Carraturo , Dietmar Hömberg , Alessandro Reali , Elisabetta Rocca

Modern supercomputers are increasingly requiring the presence of accelerators and co-processors. However, it has not been easy to achieve good performance on such heterogeneous clusters. The key challenge has been to ensure good load…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-18 Jesse Kelly , Omar Ghattas , Hari Sundar

This paper studies the distributed optimization problem with possibly nonidentical local constraints, where its global objective function is composed of $N$ convex functions. The aim is to solve the considered optimization problem in a…

Optimization and Control · Mathematics 2022-08-26 Hongzhe Liu , Wenwu Yu , Guanghui Wen , Wei Xing Zheng

Set partitioning is a key component of many algorithms in machine learning, signal processing, and communications. In general, the problem of finding a partition that minimizes a given impurity (loss function) is NP-hard. As such, there…

Information Theory · Computer Science 2020-01-01 Thuan Nguyen , Thinh Nguyen

This thesis develops signal-processing algorithms and implementation schemes under constraints of minimal parallelism and memory space, with the goal of improving energy efficiency of low-power computing hardware. We propose (i) a…

Signal Processing · Electrical Eng. & Systems 2025-12-30 Sergey Salishev

In this paper we consider the problem of scheduling on parallel machines with a presence of incompatibilities between jobs. The incompatibility relation can be modeled as a complete multipartite graph in which each edge denotes a pair of…

Data Structures and Algorithms · Computer Science 2021-09-17 Tytus Pikies , Krzysztof Turowski , Marek Kubale

Data processing systems offer an ever increasing degree of parallelism on the levels of cores, CPUs, and processing nodes. Query optimization must exploit high degrees of parallelism in order not to gradually become the bottleneck of query…

Databases · Computer Science 2015-11-06 Immanuel Trummer , Christoph Koch

3D-IC netlist partitioning is commonly optimized using proxy objectives, while final PPA is treated as a costly evaluation rather than an optimization signal. This proxy-driven paradigm makes it difficult to reliably translate additional…

Machine Learning · Computer Science 2026-04-22 Shang Wang , Shuai Liu , Owen Randall , Matthew E. Taylor

An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

We present a new method for mapping applications' MPI tasks to cores of a parallel computer such that applications' communication time is reduced. We address the case of sparse node allocation, where the nodes assigned to a job are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-27 Mehmet Deveci , Karen D. Devine , Kevin Pedretti , Mark A. Taylor , Sivasankaran Rajamanickam , Umit V. Catalyurek

This paper provides a method for the simultaneous topology optimization of parts and their corresponding joint locations in an assembly. Therein, the joint locations are not discrete and predefined, but continuously movable. The underlying…

Computational Engineering, Finance, and Science · Computer Science 2020-09-14 Olaf Ambrozkiewicz , Benedikt Kriegesmann