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We give an overview of the theoretical results for matrix block-recursive algorithms in commutative domains and present the results of experiments that we conducted with new parallel programs based on these algorithms on a supercomputer…

Symbolic Computation · Computer Science 2019-03-12 Gennadi Malaschonok , Evgeni Ilchenko

A new runtime environment for the execution of recursive matrix algorithms on a supercomputer with distributed memory is proposed. It is designed both for dense and sparse matrices. The environment ensures decentralized control of the…

Symbolic Computation · Computer Science 2023-03-21 Gennadi Malaschonok , Alla Sidko

Recursive blocked algorithms have proven to be highly efficient at the numerical solution of the Sylvester matrix equation and its generalizations. In this work, we show that these algorithms extend in a seamless fashion to…

Numerical Analysis · Mathematics 2019-05-24 Minhong Chen , Daniel Kressner

Functioning and interaction of distributed devices and concurrent algorithms are analyzed in the context of the theory of algorithms. Our main concern here is how and under what conditions algorithmic interactive devices can be more…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-10-09 Mark Burgin

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

The parallel and distributed processing are becoming de facto industry standard, and a large part of the current research is targeted on how to make computing scalable and distributed, dynamically, without allocating the resources on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-10 Rajendra Purohit , K R Chowdhary , S D Purohit

The inversion of extremely high order matrices has been a challenging task because of the limited processing and memory capacity of conventional computers. In a scenario in which the data does not fit in memory, it is worth to consider…

Numerical Analysis · Mathematics 2018-05-08 Iria C. S. Cosme , Isaac F. Fernandes , João L. de Carvalho , Samuel Xavier-de-Souza

Distributed algorithms have been playing an increasingly important role in many applications such as machine learning, signal processing, and control. Significant research efforts have been devoted to developing and analyzing new algorithms…

Machine Learning · Computer Science 2022-11-03 Xinwei Zhang , Mingyi Hong , Nicola Elia

This paper is concerned with the problem of controlling a system of constrained dynamic subsystems in a way that balances the performance degradation of decentralized control with the practical cost of centralized control. We propose a…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Pablo R Baldivieso-Monasterios , Paul A Trodden

In this paper we consider the matrix structure of arithmetic processors based on distributed arithmetic in multi-row codes. Scope - development of supercomputers.

Numerical Analysis · Computer Science 2016-02-29 V. I. Shcherbakov

Block matrix structure is commonly arising is various physics and engineering applications. There are various advantages in preserving the blocks structure while computing the inversion of such partitioned matrices. In this context, using…

Numerical Analysis · Mathematics 2023-11-22 R. Thiru Senthil

We describe a dynamic programming algorithm for computing the marginal distribution of discrete probabilistic programs. This algorithm takes a functional interpreter for an arbitrary probabilistic programming language and turns it into an…

Artificial Intelligence · Computer Science 2012-09-12 Andreas Stuhlmüller , Noah D. Goodman

In this work, we present a distributed framework based on the graph algorithm for computing control invariant set for nonlinear cascade systems. The proposed algorithm exploits the structure of the interconnections within a process network.…

Systems and Control · Electrical Eng. & Systems 2022-05-12 Benjamin Decardi-Nelson , Jinfeng Liu

Many recent machine learning models rely on fine-grained dynamic control flow for training and inference. In particular, models based on recurrent neural networks and on reinforcement learning depend on recurrence relations, data-dependent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Yuan Yu , Martín Abadi , Paul Barham , Eugene Brevdo , Mike Burrows , Andy Davis , Jeff Dean , Sanjay Ghemawat , Tim Harley , Peter Hawkins , Michael Isard , Manjunath Kudlur , Rajat Monga , Derek Murray , Xiaoqiang Zheng

Nowadays, with the widespread of smartphones and other portable gadgets equipped with a variety of sensors, data is ubiquitous available and the focus of machine learning has shifted from being able to infer from small training samples to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-07 Radu Cristian Ionescu

Distributed-memory matrix multiplication (MM) is a key element of algorithms in many domains (machine learning, quantum physics). Conventional algorithms for dense MM rely on regular/uniform data decomposition to ensure load balance. These…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-21 Justus A. Calvin , Edward F. Valeev

In this paper we consider a recently developed distributed optimization algorithm based on gradient tracking. We propose a system theory framework to analyze its structural properties on a preliminary, quadratic optimization set-up.…

Systems and Control · Electrical Eng. & Systems 2020-06-03 Michelangelo Bin , Ivano Notarnicola , Lorenzo Marconi , Giuseppe Notarstefano

In this paper we introduce an iterative Jacobi algorithm for solving distributed model predictive control (DMPC) problems, with linear coupled dynamics and convex coupled constraints. The algorithm guarantees stability and persistent…

Optimization and Control · Mathematics 2008-09-23 Dang Doan , Tamas Keviczky , Ion Necoara , Moritz Diehl

We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms with decomposable cost functions. We model such algorithms as a network of interacting dynamical systems and derive tests for…

Optimization and Control · Mathematics 2026-04-14 Aron Karakai , Jaap Eising , Andrea Martinelli , Florian Dörfler

We present a general control-theoretic framework for constructing and analyzing random decoupling schemes, applicable to quantum dynamical control of arbitrary finite-dimensional composite systems. The basic idea is to design the control…

Quantum Physics · Physics 2009-11-11 Lorenza Viola , Emanuel Knill
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