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This paper proposes a parallelizable algorithm for linear-quadratic model predictive control (MPC) problems with state and input constraints. The algorithm itself is based on a parallel MPC scheme that has originally been designed for…

Optimization and Control · Mathematics 2022-07-04 Jiahe Shi , Yuning Jiang , Juraj Oravec , Boris Houska

This paper investigates the parallel complexity of several non-equilibrium growth models. Invasion percolation, Eden growth, ballistic deposition and solid-on-solid growth are all seemingly highly sequential processes that yield…

Condensed Matter · Physics 2009-10-22 J. Machta , R. Greenlaw

Recurrent neural networks are used to forecast time series in finance, climate, language, and from many other domains. Reservoir computers are a particularly easily trainable form of recurrent neural network. Recently, a "next-generation"…

Machine Learning · Computer Science 2023-03-28 Sarah E. Marzen , Paul M. Riechers , James P. Crutchfield

Basic Parallel Processes (BPPs) are a well-known subclass of Petri Nets. They are the simplest common model of concurrent programs that allows unbounded spawning of processes. In the probabilistic version of BPPs, every process generates…

Logic in Computer Science · Computer Science 2014-01-17 Rémi Bonnet , Stefan Kiefer , Anthony W. Lin

Optimizing the parallel training of large models requires exploring intra-operator parallelism plans for a computation graph that typically contains tens of thousands of primitive operators. While the optimization of parallel data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Weifang Hu , Xuanhua Shi , Yunkai Zhang , Chang Wu , Xuan Peng , Jiaqi Zhai , Hai Jin , Xuehai Qian , Jingling Xue , Yongluan Zhou

We present a computational framework for piecewise constant functions (PCFs) and use this for several types of computations that are useful in statistics, e.g., averages, similarity matrices, and so on. We give a linear-time,…

Computation · Statistics 2024-04-11 Björn H. Wehlin

We present a new parallel model of computation suitable for spatial architectures, for which the energy used for communication heavily depends on the distance of the communicating processors. In our model, processors have locations on a…

Data Structures and Algorithms · Computer Science 2023-01-18 Lukas Gianinazzi , Tal Ben-Nun , Maciej Besta , Saleh Ashkboos , Yves Baumann , Piotr Luczynski , Torsten Hoefler

Recently, studying fundamental graph problems in the \emph{Massively Parallel Computation (MPC) framework, inspired by the MapReduce paradigm, has gained a lot of attention. An assumption common to a vast majority of approaches is to allow…

Data Structures and Algorithms · Computer Science 2019-05-28 Sebastian Brandt , Manuela Fischer , Jara Uitto

We describe an efficient parallel implementation of the selected inversion algorithm for distributed memory computer systems, which we call \texttt{PSelInv}. The \texttt{PSelInv} method computes selected elements of a general sparse matrix…

Numerical Analysis · Mathematics 2015-06-01 Mathias Jacquelin , Lin Lin , Chao Yang

Pipeline parallelism has been widely explored, but most existing schedules lack a systematic methodology. In this paper, we propose a framework to decompose pipeline schedules as repeating a building block, and show that the lifespan of the…

Machine Learning · Computer Science 2024-11-05 Penghui Qi , Xinyi Wan , Nyamdavaa Amar , Min Lin

The development of cost-effective highperformance parallel computing on multi-processor supercomputers makes it attractive to port excessively time consuming simulation software from personal computers (PC) to super computes. The power…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Ning Lu , Z. Todd Taylor , David P. Chassin , Ross T. Guttromson , R. Scott Studham

Given n jobs with release dates, deadlines and processing times we consider the problem of scheduling them on m parallel machines so as to minimize the total energy consumed. Machines can enter a sleep state and they consume no energy in…

Data Structures and Algorithms · Computer Science 2019-10-01 Antonios Antoniadis , Naveen Garg , Gunjan Kumar , Nikhil Kumar

Most work on the verification of concurrent objects for shared memory assumes sequential consistency, but most multicore processors support only weak memory models that do not provide sequential consistency. Furthermore, most verification…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-25 Simon Doherty , John Derrick

Fault tolerance overhead of high performance computing (HPC) applications is becoming critical to the efficient utilization of HPC systems at large scale. HPC applications typically tolerate fail-stop failures by checkpointing. Another…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-22 Erlin Yao , Mingyu Chen , Rui Wang , Wenli Zhang , Guangming Tan

The conventional design of real-time approaches depends heavily on the normal performance of systems and it often becomes incapacitated in dealing with catastrophic scenarios effectively. There are several investigations carried out to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-22 A. Christy Persya , T. R. Gopalakrishnan Nair

It is a challenging task to train large DNN models on sophisticated GPU platforms with diversified interconnect capabilities. Recently, pipelined training has been proposed as an effective approach for improving device utilization. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-03 Shiqing Fan , Yi Rong , Chen Meng , Zongyan Cao , Siyu Wang , Zhen Zheng , Chuan Wu , Guoping Long , Jun Yang , Lixue Xia , Lansong Diao , Xiaoyong Liu , Wei Lin

Motivated by recent progress on symmetry breaking problems such as maximal independent set (MIS) and maximal matching in the low-memory Massively Parallel Computation (MPC) model (e.g., Behnezhad et al.~PODC 2019; Ghaffari-Uitto SODA 2019),…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-29 Kishore Kothapalli , Shreyas Pai , Sriram V. Pemmaraju

Efficient and faithful parallel simulation of large asynchronous systems is a challenging computational problem. It requires using the concept of local simulated times and a synchronization scheme. We study the scalability of massively…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , M. A. Novotny , P. A. Rikvold , H. Guclu , Z. Toroczkai

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

Applications with low data reuse and frequent irregular memory accesses, such as graph or sparse linear algebra workloads, fail to scale well due to memory bottlenecks and poor core utilization. While prior work with prefetching,…

Hardware Architecture · Computer Science 2023-05-05 Marcelo Orenes-Vera , Esin Tureci , David Wentzlaff , Margaret Martonosi