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In this thesis, we focus on some of the NP-hard problems in control theory. Thanks to the converse Lyapunov theory, these problems can often be modeled as optimization over polynomials. To avoid the problem of intractability, we establish a…

Optimization and Control · Mathematics 2017-02-21 Reza Kamyar

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

We describe an asynchronous parallel stochastic coordinate descent algorithm for minimizing smooth unconstrained or separably constrained functions. The method achieves a linear convergence rate on functions that satisfy an essential strong…

Optimization and Control · Mathematics 2014-11-12 Ji Liu , Stephen J. Wright , Christopher Ré , Victor Bittorf , Srikrishna Sridhar

The growing complexity of real-world systems necessitates interdisciplinary solutions to confront myriad challenges in modeling, analysis, management, and control. To meet these demands, the parallel systems method rooted in Artificial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-26 Yong Zhao , Zhengqiu Zhu , Bin Chen , Sihang Qiu , Jincai Huang , Xin Lu , Weiyi Yang , Chuan Ai , Kuihua Huang , Cheng He , Yucheng Jin , Zhong Liu , Fei-Yue Wang

In various online/offline multi-agent networked environments, it is very popular that the system can benefit from coordinating actions of two interacting agents at some cost of coordination. In this paper, we first formulate an optimization…

Systems and Control · Computer Science 2018-09-14 Hyeryung Jang , Jinwoo Shin , Yung Yi

We describe how long-term solar system orbit integration could be implemented on a parallel computer. The interesting feature of our algorithm is that each processor is assigned not to a planet or a pair of planets but to a time-interval.…

Astrophysics · Physics 2009-10-28 Prasenjit Saha , Joachim Stadel , Scott Tremaine

When the complete understanding of a complex system is not available, as, e.g., for systems considered in the real-world, we need a top-down approach to complexity. In this approach one may start with the desire to understand general…

Statistical Mechanics · Physics 2019-05-22 Joachim Peinke , Mohammad Reza Rahimi Tabar , Matthias Wächter

Balanced energy consumption is a major research concern in sensor networks. If some sensor nodes spent energy rapidly compared to other sensor groups, then the energy consumption is not evenly distributed and the lifetime of the network is…

Signal Processing · Electrical Eng. & Systems 2022-06-20 Rohit Pachlor , Deepti Shrimankar , Kapil Kumar Nagwanshi , Manish Paliwal

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

This article presents new algorithms for massively parallel granular dynamics simulations on distributed memory architectures using a domain partitioning approach. Collisions are modelled with hard contacts in order to hide their…

Computational Engineering, Finance, and Science · Computer Science 2015-01-26 Tobias Preclik , Ulrich Rüde

This work aims to improve the sample efficiency of parallel large-scale ranking and selection (R&S) problems by leveraging correlation information. We modify the commonly used "divide and conquer" framework in parallel computing by adding a…

Methodology · Statistics 2026-02-16 Zishi Zhang , Yijie Peng

This report discusses the implementation of two parallel algorithms on a distributed memory system for studying vortex dynamics in type-II superconductors. These algorithms are the same as that implemented for classical molecular dynamics…

Superconductivity · Physics 2007-05-23 Mahesh Chandran

Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

Applications · Statistics 2017-12-22 Giacomo Aletti , Alessandra Micheletti

This article introduces a model for freeway traffic dynamics under stochastic capacity-reducing incidents, and provides insights for freeway incident management by analyzing long-time (stability) properties of the proposed model. Incidents…

Optimization and Control · Mathematics 2017-11-01 Li Jin , Saurabh Amin

Using statistical learning methods to analyze stochastic simulation outputs can significantly enhance decision-making by uncovering relationships between different simulated systems and between a system's inputs and outputs. We focus on…

Methodology · Statistics 2026-05-28 Mohammadmahdi Ghasemloo , David J. Eckman

We study the efficiency of synchronization in ensembles of identical coupled stochastic oscillator systems. By deriving a chemical Langevin equation, we measure the rate at which the systems synchronize. The rate at which the difference in…

Subcellular Processes · Quantitative Biology 2015-04-03 G. Reenaroy Devi , R. K. Brojen Singh , Ram Ramaswamy

Comprehending the performance bottlenecks at the core of the intricate hardware-software interactions exhibited by highly parallel programs on HPC clusters is crucial. This paper sheds light on the issue of automatically asynchronous MPI…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Ayesha Afzal , Georg Hager , Stefano Markidis , Gerhard Wellein

State machine replication is standard approach to fault tolerance. One of the key assumptions of state machine replication is that replicas must execute operations deterministically and thus serially. To benefit from multi-core servers,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Eduardo Alchieri , Fernando Dotti , Fernando Pedone

Developing an efficient server-based real-time scheduling solution that supports dynamic task-level parallelism is now relevant to even the desktop and embedded domains and no longer only to the high performance computing market niche. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-15 Luís Nogueira , Luís Miguel Pinho

We consider a parallel computational model that consists of $P$ processors, each with a fast local ephemeral memory of limited size, and sharing a large persistent memory. The model allows for each processor to fault with bounded…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-15 Guy E. Blelloch , Phillip B. Gibbons , Yan Gu , Charles McGuffey , Julian Shun
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