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Author: Yuemean Chen
Publisher:
ISBN:
Category : Cache memory
Languages : en
Pages : 182
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Book Description
Author: Yuemean Chen
Publisher:
ISBN:
Category : Cache memory
Languages : en
Pages : 182
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Book Description
Author: Kebin Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 198
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Book Description
Abstract: Scientific computing is the field of constructing mathematical models from science and engineering problems and providing numerical solution techniques. The cache-oblivious paradigm is a novel technique for designing algorithms and analyzing algorithm efficiencies. One advantage of cache-oblivious analysis over the traditional RAM (Random Access Model) lies in the consideration of hierarchical structures of modem computers. In this dissertation, we develop new algorithms and data layouts for scientific computing with better cache performances. We construct cache-oblivious iterative linear solvers, cache-oblivious mesh generation algorithms, and cache-oblivious particle simulation algorithms. To our knowledge, our work is the first attempt to adapt the cache-oblivious paradigm to scientific computing.We describe our cache-oblivious mesh layout algorithms and cache-oblivious linear solver. We present a new algorithm for generating decomposition trees. We then show that our mesh layout algorithms--which run in near optimal time and nearest optimal memory transfers--enable optimal mesh update algorithms. We demonstrate an optimal cache-oblivious linear solver using our mesh update algorithm. We present two quadtree generation algorithms. These algorithms perform nearly optimally in both the time complexity and cache complexity. We then show how to generate meshes from point sets with near optimal cache complexity and optimal time complexity.We construct cache-oblivious particle simulation algorithms. We study methods of laying out input data for the Fast Multipole Method (FMM) on uniformly distributed particles and give an optimal algorithm solving FMM on such layout.
Author: Georgios S. Paschos
Publisher:
ISBN: 9781680837032
Category : Cache memory
Languages : en
Pages : 193
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Book Description
Caching refers to the act of replicating information at a faster (or closer) medium with the purpose of improving performance. This deceptively simple idea has given rise to some of the hardest optimization problems in the fields of computer systems, networking, and the Internet, many of which remain unsolved several years after their conception. While a wealth of research contributions exists from the topics of memory systems, data centers, Internet traffic, CDNs, and recently wireless networks, the literature is dispersed and overlapping at times. In this monograph, we take a unifying modeling view: by focusing on the fundamental underlying mathematical models, we re-organize the available material into a powerful framework for performing optimization of caching systems. This way, we aspire to present a solid background for the anticipated explosion in caching research, but also provide a didactic view into how engineers have managed to infuse mathematical models into the study of caching over the last 40 years.
Author: Georgios Paschos
Publisher:
ISBN: 9781680837025
Category : Computers
Languages : en
Pages : 204
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Book Description
Caching refers to the act of replicating information at a faster (or closer) medium with the purpose of improving performance. This deceptively simple idea has given rise to some of the hardest optimization problems in the fields of computer systems, networking, and the Internet; many of which remain unsolved several years after their conception. While a wealth of research contributions exists from the topics of memory systems, data centers, Internet traffic, CDNs, and recently wireless networks, the literature is dispersed and overlapping at times. In this monograph, the authors focus on the fundamental underlying mathematical models, into a powerful framework for performing optimization of caching systems. In doing so they the present the reader with a solid background for the anticipated explosion in caching research, and provide a didactic view into how engineers have managed to infuse mathematical models into the study of caching over the last 40 years. Written by leading researchers from academia and industry, this monograph provides students, researchers and practicing engineers with a concise introduction to challenges and solutions for implementing caching in modern computing systems.
Author: Nilay Vaish
Publisher:
ISBN:
Category :
Languages : en
Pages : 276
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Book Description
The growing number of transistors on a microprocessor chip are being used towards putting a large number of general purpose processing cores and several specialized processing units on the chip. This inflation in the number of on-chip components makes the space of possible processor designs far bigger than what it used to be. Typically, software-based simulation models have been used for exploring the space of processor designs. These simulation models are typically very detailed and hence are about 4-5 orders of magnitude slower than actual designs. These simulation models have not improved their performance significantly enough with the increase in the number of on-chip components. While designers may continue to use these models to come up with new designs, this would mean exploring smaller and smaller portions of the design space as we increase the number of on-chip components. Therefore, we need models that can help explore the design space in significantly less time. Designers would use such models to compute potential candidates for further exploration with software-based simulation models. This dissertation focuses on mathematical models that can be explored using discrete or continuous optimization algorithms. We develop models for two different design problems related to manycore processors. The first design problem we tackle is that of designing a cache hierarchy. Given a set of resource and performance constraints, we develop a model for computing the performance of a given cache hierarchy for multiple objectives. We model the space of possible cache hierarchies as a discrete multi-dimensional space. Then we provide a dynamic programming and multi-dimensional divide and conquer based algorithm that solves the model and computes Pareto-optimal and nearby cache hierarchies. Simulation-based experiments show that cache hierarchies obtained through our proposed algorithm perform significantly better than those obtained using previously proposed continuous model. The second design problem we tackle is that of distributing resources in an on-chip network. We first propose integer linear programs that maximize the bandwidth available for communication while distributing memory controllers and network resources like link widths and virtual channels across the on-chip network. After that, we propose a different set of integer programs that distribute these resources depending the expected utilization of the network. These new models strive for obtaining a good balance between latency and bandwidth performance of the on-chip network. More broadly, this dissertation provides more examples for application of optimization-based models (both continuous and discrete) in problems related to design of processors. It also shows that such models can reduce the design space exploration time.
Author: Ed F. Deprettere
Publisher: Springer Science & Business Media
ISBN: 3540433228
Category : Computers
Languages : en
Pages : 335
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Book Description
This book presents a coherent introduction to and an overview of state-of-the-art techniques in the design of complex embedded systems. The volume brings together revised papers initially presented at a workshop held at Samos, Greece, in July and reviewed invited articles. The papers are organized in topical sections on system-level design and simulation, compiler and mapping technology, embedded processor and architectures, and applications.
Author: Ajith Abraham
Publisher:
ISBN: 9784274906312
Category : Hybrid computers
Languages : en
Pages : 1160
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Book Description
Author: Douglas D. Mooney
Publisher: American Mathematical Soc.
ISBN: 1470458314
Category : Mathematics
Languages : en
Pages : 431
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Book Description
The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.
Author:
Publisher: ScholarlyEditions
ISBN: 148165022X
Category : Business & Economics
Languages : en
Pages : 20
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Book Description
Issues in Housing and Real Estate / 2012 Edition is a ScholarlyPaper™ that delivers timely, authoritative, and intensively focused information about People-Environment Relations in a compact format. The editors have built Issues in Housing and Real Estate: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about People-Environment Relations in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Housing and Real Estate: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author: Karu Sankaralingam
Publisher: Springer Nature
ISBN: 3031017730
Category : Technology & Engineering
Languages : en
Pages : 144
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Book Description
In this book we give an overview of modeling techniques used to describe computer systems to mathematical optimization tools. We give a brief introduction to various classes of mathematical optimization frameworks with special focus on mixed integer linear programming which provides a good balance between solver time and expressiveness. We present four detailed case studies -- instruction set customization, data center resource management, spatial architecture scheduling, and resource allocation in tiled architectures -- showing how MILP can be used and quantifying by how much it outperforms traditional design exploration techniques. This book should help a skilled systems designer to learn techniques for using MILP in their problems, and the skilled optimization expert to understand the types of computer systems problems that MILP can be applied to.
