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Scheduling in the Z-Polyhedral Model
2007
2007 IEEE International Parallel and Distributed Processing Symposium
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We present the scheduling analysis for the automatic parallelization of programs in the Z-polyhedral model, and obtain multidimensional schedules through an ILP formulation that minimizes latency. ...
The polyhedral model is extensively used for analyses and transformations of regular loop programs, one of the most important being automatic parallelization. ...
Loop programs with a non-unit stride fall outside the scope of the model. ...
doi:10.1109/ipdps.2007.370229
dblp:conf/ipps/GuptaKR07
fatcat:rysz7qpumjb5hn24d5f22qwp3m
Iterative optimization in the polyhedral model
2008
Proceedings of the 2008 ACM SIGPLAN conference on Programming language design and implementation - PLDI '08
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Thus, we introduce the use of a genetic algorithm with specialized operators that leverage the polyhedral representation of program dependences. ...
However, because optimizing compilers (1) use simplistic performance models that abstract away many of the complexities of modern architectures, (2) rely on inaccurate dependence analysis, and (3) lack ...
For example, compilers can typically not apply any transformation if data dependences are non-uniform (unimodular transformations, tiling), if the loop trip counts differ (fusion) or simply because profitability ...
doi:10.1145/1375581.1375594
dblp:conf/pldi/PouchetBCC08
fatcat:p6z3qjhxl5cx7jwjvlu7cabgie
Iterative optimization in the polyhedral model
2008
SIGPLAN notices
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Thus, we introduce the use of a genetic algorithm with specialized operators that leverage the polyhedral representation of program dependences. ...
However, because optimizing compilers (1) use simplistic performance models that abstract away many of the complexities of modern architectures, (2) rely on inaccurate dependence analysis, and (3) lack ...
For example, compilers can typically not apply any transformation if data dependences are non-uniform (unimodular transformations, tiling), if the loop trip counts differ (fusion) or simply because profitability ...
doi:10.1145/1379022.1375594
fatcat:2g6qs7a4qzbixmf7mz3mw5gke4
Finding Free Schedules for Non-uniform Loops
[chapter]
2003
Lecture Notes in Computer Science
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Algorithms, permitting us to build free schedules for perfectly and imperfectly nested affine loops with non-uniform dependences, are presented. ...
The operations of each time schedule can be executed as soon as their operands are available. This allows us to extract maximum loop parallelism. The algorithms require exact dependence analysis. ...
Most of those transformations permit us to extract parallelism from both uniform and non-uniform loops. ...
doi:10.1007/978-3-540-45209-6_44
fatcat:g6f7gmn6prhg7crlnlmkkgcij4
Structured uncertainty analysis of robust stability for multidimensional array systems
2003
IEEE Transactions on Automatic Control
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Methods of structured uncertainty analysis (µ-analysis) are extended towards systems with dynamical and non-causal spatial coordinates. ...
As an example, the paper applies the multidimensional structured uncertainty analysis to closed-loop control of a cross-directional paper machine process. ...
One contribution of this paper is in identifying a large class of practically important multidimensional systems with non-causal coordinates for which closed-loop BIBO stability conditions derived for ...
doi:10.1109/tac.2003.816980
fatcat:vtmiakgg3ffplm6ttgv3uzr4re
A new broadening technique of numerically unresolved solar transition region and its effect on the spectroscopic synthesis using coronal approximation
[article]
2021
arXiv
pre-print
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Doppler shift and non-thermal width of the synthesized line emission agree with those from a high-resolution reference simulation within an error of several km/s above the formation temperature of 10^5 ...
We have tested the proposed method using a one-dimensional hydrodynamic model of a coronal loop in an active region. ...
The non-uniform grid spacing is used with the grid size of 100 m near the transition region. ...
arXiv:2106.00864v1
fatcat:ddgrzetsivgbhgvtri4aqcwf4y
Theoretical constraints on multidimensional retiming design techniques
2001
Visual Information Processing X
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The MD-retiming method improves the instruction-level parallelism of uniform loops. ...
This paper presents an analysis of that technique and its constraints when applied to nested loops with known index bounds, such as those found in two and three dimensional image processing. ...
This method improves the instruction level parallelism of uniform loops. ...
doi:10.1117/12.438262
dblp:conf/spieVIP/PassosDBHS01
fatcat:aehielbrxfcyjbuedx6ehk5pnm
Algorithmic Information Distortions in Node-Aligned and Node-Unaligned Multidimensional Networks
2021
Entropy
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In the present article, we demonstrate that node-unaligned multidimensional networks, either with uniform or non-uniform multidimensional spaces, can also display exponentially larger algorithmic information ...
information of the multidimensional space itself needs to be taken into account in multidimensional network complexity analysis. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/e23070835
fatcat:v3thfvzvfbai7cztt3dp47z2ui
Page 2310 of Mathematical Reviews Vol. 58, Issue 3
[page]
1979
Mathematical Reviews
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a uniform attrac: tor with respect to these controls. ...
Authors’ summary: “We consider the use of Volterra functional
series and of multidimensional discrete Laplace transforms in the
analysis of nonlinear sampled-data systems with discontinuities in
the amplitude ...
Page 6704 of Mathematical Reviews Vol. , Issue 98J
[page]
1998
Mathematical Reviews
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(RS-AOS-CN; Moscow)
Synthesis of linear multidimensional time-dependent systems with discontinuous control actions. (Russian. ...
Summary: “In this paper, we consider, for the first time, the com- bined problem of uniform disturbance rejection and decoupling of nonsquare linear time-dependent analytic systems via restricted Static ...
Parallel software implementation of recursive multidimensional digital filters for point-target detection in cluttered infrared scenes
2015
2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
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2015 pre-print arXiv:1408.3526v3 fatcat:onboykww4rgzlh7ilvrm55cqjmOther Versions
A technique for the enhancement of point targets in clutter is described. The local 3-D spectrum at each pixel is estimated recursively. ...
flow-field for the textured background is then generated using the 3-D autocorrelation function and the local velocity estimates are used to apply high-pass velocity-selective spatiotemporal filters, with ...
cloud or terrain), possibly exhibiting non-uniform motion. ...
doi:10.1109/icassp.2015.7178137
dblp:conf/icassp/Kennedy15
fatcat:6nrovpcuyfe33coz3kwpcvnlnm
Loop transformations
2011
Proceedings of the 38th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages - POPL '11
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To address this fundamental challenge, we first present a convex characterization of all distinct, semantics-preserving, multidimensional affine transformations. ...
However, determining appropriate compositions of loop transformations to achieve this remains a significantly challenging task; current compilers may achieve significantly lower performance than hand-optimized ...
Acknowledgments We are grateful to Paul Feautrier for providing the foundations for multidimensional affine scheduling, and the simplification of Vasilache's original convex formulation of all semantics-preserving ...
doi:10.1145/1926385.1926449
dblp:conf/popl/PouchetBBCRSV11
fatcat:h5y7lpv26fdhjcrmemweqffnxu
A unified framework for nonlinear dependence testing and symbolic analysis
2004
Proceedings of the 18th annual international conference on Supercomputing - ICS '04
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region analysis, and nonlinear dependence testing. ...
This uniform approach provides a powerful unified framework of analysis methods for restructuring compilers. ...
Analysis Algorithms This section presents our analysis algorithms based on the uniform representation of symbolic expressions with CR forms. ...
doi:10.1145/1006209.1006226
dblp:conf/ics/EngelenBSWG04
fatcat:hkwj7as4dvcydfx76hqxp7cybi
Space-Time Loop Tiling for Dynamic Programming Codes
2021
Electronics
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Target tiles are represented with multiple time slices within each space tile. We explain the basic idea of space-time loop tiling and then illustrate it by means of an example. ...
We present a new space-time loop tiling approach and demonstrate its application for the generation of parallel tiled code of enhanced locality for three dynamic programming algorithms. ...
Unfortunately, PLuTo fails to tile all loops in a given loop nest in the case of DP programs exposing non-uniform dependences [10] . This reduces the locality of target tiled code. ...
doi:10.3390/electronics10182233
fatcat:a2sfkllnkzedfi6my3oiydeq24
Improvement of the k-nn Entropy Estimator with Applications in Systems Biology
2015
Entropy
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For multivariate distributions, we considered the case of independent marginals and the dependence structure between the marginal distributions described by Gaussian copula. ...
In order to demonstrate the accuracy of the improvement, we calculated the corrected estimator for several families of random variables. ...
UMO-2014/12/W/ST5/00592, as well as by the Biocentrum-Ochota project POIG02.03.00-00-003/09 and by the European Union from resources of the European Social Fund, Project POKL.04.01.01-00-051/10-00, "Information ...
doi:10.3390/e18010013
fatcat:mrx4xuguonghrm52zwkmhl3fkm
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