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A Multi-Level Solution Algorithm for Steady-State Markov Chains

by Graham Horton, Scott T. Leutenegger , 1993
"... A new iterative algorithm, the multi-level algorithm, for the numerical solution of steady state Markov chains is presented. The method utilizes a set of recursively coarsened representations of the original system to achieve accelerated convergence. It is motivated by multigrid methods, which are w ..."
Abstract - Cited by 34 (4 self) - Add to MetaCart
A new iterative algorithm, the multi-level algorithm, for the numerical solution of steady state Markov chains is presented. The method utilizes a set of recursively coarsened representations of the original system to achieve accelerated convergence. It is motivated by multigrid methods, which

Multi-level ray tracing algorithm

by Alexander Reshetov, Alexei Soupikov, Jim Hurley
"... We propose new approaches to ray tracing that greatly reduce the required number of operations while strictly preserving the geometrical correctness of the solution. A hierarchical “beam” structure serves as a proxy for a collection of rays. It is tested against a kd-tree representing the overall sc ..."
Abstract - Cited by 164 (2 self) - Add to MetaCart
We propose new approaches to ray tracing that greatly reduce the required number of operations while strictly preserving the geometrical correctness of the solution. A hierarchical “beam” structure serves as a proxy for a collection of rays. It is tested against a kd-tree representing the overall

Data-centric Multi-level Blocking

by Induprakas Kodukula, Nawaaz Ahmed, d Keshav Pingali , 1997
"... We present a simple and novel framework for generating blocked codes for high-performance machines with a memory hierarchy. Unlike traditional compiler techniques like tiling, which are based on reasoning about the control flow of programs, our techniques are based on reasoning directly about the fl ..."
Abstract - Cited by 155 (10 self) - Add to MetaCart
the flow of data through the memory hierarchy. Our data-centric transformations permit a more direct solution to the problem of enhancing data locality than current control-centric techniques do, and generalize easily to multiple levels of memory hierarchy. We buttress these claims with performance numbers

Greedy layer-wise training of deep networks

by Yoshua Bengio, Pascal Lamblin, Dan Popovici, Hugo Larochelle , 2006
"... Complexity theory of circuits strongly suggests that deep architectures can be much more efficient (sometimes exponentially) than shallow architectures, in terms of computational elements required to represent some functions. Deep multi-layer neural networks have many levels of non-linearities allow ..."
Abstract - Cited by 394 (48 self) - Add to MetaCart
Complexity theory of circuits strongly suggests that deep architectures can be much more efficient (sometimes exponentially) than shallow architectures, in terms of computational elements required to represent some functions. Deep multi-layer neural networks have many levels of non

No power struggles: Coordinated multi-level power management for the data center

by Ramya Raghavendra, Parthasarathy Ranganathan, Vanish Talwar, Zhikui Wang, Xiaoyun Zhu - in ASPLOS , 2008
"... Power delivery, electricity consumption, and heat management are becoming key challenges in data center environments. Several past solutions have individually evaluated different techniques to address separate aspects of this problem, in hardware and software, and at local and global levels. Unfortu ..."
Abstract - Cited by 184 (19 self) - Add to MetaCart
Power delivery, electricity consumption, and heat management are becoming key challenges in data center environments. Several past solutions have individually evaluated different techniques to address separate aspects of this problem, in hardware and software, and at local and global levels

Multi-Level Adaptive Solutions

by Achi Brandt, Achi Brandt
"... Mathematics of Computation is currently published by American Mathematical Society. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at ..."
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Mathematics of Computation is currently published by American Mathematical Society. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at

On the Existence of Hazard-Free Multi-Level Logic

by Steven M. Nowick, et al. , 2003
"... This paper introduces a new method which, given an arbitrary Boolean function and specified set of (function hazardfree) input transitions, determines if any hazard-free multilevel logic implementation exists. The algorithm is based on iterative decomposition, using disjunction and inversion. Earlie ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
given circuit. In this paper, a method is proposed to solve the hazard-free multi-level existence problem. The method is proven to be both sound and complete for a large class of multi-level implementations. A novel contribution is to show that, if any hazard-free multi-level solution exists, then a

An adaptive, nonuniform cache structure for wire-delay dominated on-chip caches

by Changkyu Kim, Doug Burger, Stephen W. Keckler - In International Conference on Architectural Support for Programming Languages and Operating Systems , 2002
"... Growing wire delays will force substantive changes in the designs of large caches. Traditional cache architectures assume that each level in the cache hierarchy has a single, uniform access time. Increases in on-chip communication delays will make the hit time of large on-chip caches a function of a ..."
Abstract - Cited by 314 (39 self) - Add to MetaCart
within the same level of the cache. We show that, for multi-megabyte level-two caches, an adaptive, dynamic NUCA design achieves 1.5 times the IPC of a Uniform Cache Architecture of any size, outperforms the best static NUCA scheme by 11%, outperforms the best three-level hierarchywhile using less

Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation

by Nikos Paragios, Rachid Deriche - INTERNATIONAL JOURNAL OF COMPUTER VISION , 2002
"... This paper presents a novel variational framework to deal with frame partition problems in Computer Vision. This framework exploits boundary and region-based segmentation modules under a curve-based optimization objective function. The task of supervised texture segmentation is considered to demonst ..."
Abstract - Cited by 312 (9 self) - Add to MetaCart
by unifying region and boundary-based information as an improved Geodesic Active Contour Model. The defined objective function is minimized using a gradient-descent method where a level set approach is used to implement the obtained PDE. According to this PDE, the curve propagation towards the final solution

A New Solution to the Coherence Problems in Multicache Systems

by Lucien M. Censier, Paul Feautrier - IEEE Transactions on Computers , 1987
"... Abstract-A memory hierarchy has coherence problems as soon--contents of the main memory--is copied in the-cache. One as one of its levels is split in several independent units-which are not says that such a datum-is present in the cache. If a processor p^|ilarl ad-onauMla frnw factor lnwale nr nrd%d ..."
Abstract - Cited by 256 (1 self) - Add to MetaCart
ofthis solution is that it is possible, in a cache-main memory subsystem, to delay updating the main memory until a block is needed in the cache (nonstore-through mode of operation). Index Terms-Caches, coherence, memory hierarchy, multi-processor systems, nonstore-through. I.
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