source: liacs/SCA2010/presentation1/presentation-paper-rvdzwet.lyx@ 318

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Presentation about GPU nQueens paper
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84Copyright 2004 by Till Tan tau <tantau@users.sourceforge.net>.
85
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87
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89In principle, this file can be redistributed and/or modified under the terms
90 of the GNU Public License, version 2.
91 However, this file is supposed to be a template to be modified for your
92 own needs.
93 For this reason, if you use this file as a template and not specifically
94 distribute it as part of a another package/program, the author grants the
95 extra permission to freely copy and modify this file as you see fit and
96 even to delete this copyright notice.
97
98\end_layout
99
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104
105\begin_layout Title
106Chessboard Domination on Programmable Graphics Hardware [CDGPU2006]
107\begin_inset OptArg
108status open
109
110\begin_layout Plain Layout
111Chessboard Domination on GPU
112\begin_inset Note Note
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132
133First algorithm to determine the minimum domination number of a chessboard
134 graph using the GPU
135\begin_inset Quotes erd
136\end_inset
137
138
139\end_layout
140
141\begin_layout Author
142Rick van der Zwet
143\begin_inset Note Note
144status collapsed
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147Give the names in the same order as the appear in the paper.
148
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166) only if the authors have different affiliations.
167\end_layout
168
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173status open
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175\begin_layout Plain Layout
176Rick van der Zwet <hvdzwet@liacs.nl>
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178status collapsed
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180\begin_layout Plain Layout
181- optional, use only with lots of authors
182\end_layout
183
184\begin_layout Plain Layout
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186\begin_inset Quotes eld
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189Author ET al.
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200
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205
206\begin_layout Institute
207LIACS - Leiden University
208\end_layout
209
210\begin_layout Date
211Seminar Combinatorial Algorithms, 2010
212\begin_inset Note Note
213status collapsed
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216Either use conference name or its abbreviation.
217
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219
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221Not really informative to the audience, more for people (including yourself)
222 who are reading the slides online
223\end_layout
224
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228\begin_inset OptArg
229status open
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232SCA2010
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299The following causes the table of contents to be shown at the beginning
300 of every subsection.
301 Delete this, if you do not want it.
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340Outline
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357Structuring a talk is a difficult task and the following structure may not
358 be suitable.
359 Here are some rules that apply for this solution:
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363Exactly two or three sections (other than the summary).
364
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368At *most* three subsections per section.
369
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373Talk about 30s to 2min per frame.
374 So there should be between about 15 and 30 frames, all told.
375\end_layout
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377\begin_layout Itemize
378A conference audience is likely to know very little of what you are going
379 to talk about.
380 So *simplify*!
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400
401\begin_layout Section
402Minimum domination set
403\end_layout
404
405\begin_layout Subsection
406Domination set
407\begin_inset OptArg
408status open
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411Domination set
412\end_layout
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420Domination set
421\end_layout
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424Capture them all
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430 how does not follow everything on the slide itself.
431
432\end_layout
433
434\end_inset
435
436
437\end_layout
438
439\begin_layout Itemize
440Use the least amount of items to cover a whole board
441\end_layout
442
443\begin_layout Itemize
444Item based characteristics made whole set
445\end_layout
446
447\begin_layout BeginFrame
448Queen lower bound
449\end_layout
450
451\begin_layout Itemize
452\begin_inset Formula $y(Q_{n})\geq\frac{n-1}{2}$
453\end_inset
454
455,
456\begin_inset Formula $n\geq1$
457\end_inset
458
459
460\begin_inset CommandInset citation
461LatexCommand cite
462key "DM2003"
463
464\end_inset
465
466
467\end_layout
468
469\begin_layout Itemize
470Every square either contains a queen, or can be reached by a queen (e.g.
471 least amount of pieces required)
472\end_layout
473
474\begin_layout Itemize
475\begin_inset Graphics
476 filename pasted1.emf
477 scale 99
478
479\end_inset
480
481
482\end_layout
483
484\begin_layout Subsection
485GPU Inner Workings
486\end_layout
487
488\begin_layout BeginFrame
489Board Layout
490\end_layout
491
492\begin_layout Itemize
493
494\emph on
495streams:
496\emph default
497 pipelines available on the GPU - a collection of records requiring similar
498 computation.
499\end_layout
500
501\begin_layout Itemize
502
503\emph on
504kernel:
505\emph default
506 function that is applied to each element of a stream.
507\end_layout
508
509\begin_layout Standard
510In the GPU streaming model, textures, geometry, and the framebuffer are
511 seen as streams while vertex and fragment programs are seen as kernels.
512\end_layout
513
514\begin_layout BeginFrame
515Outlined Figure
516\end_layout
517
518\begin_layout Standard
519\begin_inset Graphics
520 filename C:/Documents and Settings/rvdzwet/Desktop/liacs/SCA2010/presentation1/pasted1.png
521 scale 99
522
523\end_inset
524
525
526\end_layout
527
528\begin_layout Section
529Algoritm
530\end_layout
531
532\begin_layout BeginFrame
533Basic Algoritm
534\end_layout
535
536\begin_layout Standard
537
538\family typewriter
53901: finished=false
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541
542\begin_layout Standard
543
544\family typewriter
54502: do
546\end_layout
547
548\begin_layout Standard
549
550\family typewriter
55103: ..computes a piece configuration which may be a minimally dominating set
552
553\end_layout
554
555\begin_layout Standard
556
557\family typewriter
55804: ..Rendered in the framebuffer
559\end_layout
560
561\begin_layout Standard
562
563\family typewriter
56405: ..if (All pixels are marked)
565\end_layout
566
567\begin_layout Standard
568
569\family typewriter
57006: ....finished=true
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572
573\begin_layout Standard
574
575\family typewriter
57607: ..fi
577\end_layout
578
579\begin_layout Standard
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581\family typewriter
58208: while (finished=false)
583\end_layout
584
585\begin_layout Subsection
586Computing the piece configuration
587\end_layout
588
589\begin_layout BeginFrame
590Method
591\end_layout
592
593\begin_layout Itemize
594Exhaustive manner
595\end_layout
596
597\begin_layout Itemize
598Piece configuration stored on the CPU as linked links
599\end_layout
600
601\begin_layout Itemize
602Lower bound and Upper bound is respected
603\end_layout
604
605\begin_layout Subsection
606Rendered in Framebuffer
607\end_layout
608
609\begin_layout Itemize
610GPU supports textures, every piece is a texture
611\end_layout
612
613\begin_layout Itemize
614Render points on the CPU and offload to the GPU to map texture on specific
615 place
616\end_layout
617
618\begin_layout Standard
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620 filename C:/Documents and Settings/rvdzwet/Desktop/liacs/SCA2010/presentation1/pasted4.emf
621 scale 99
622
623\end_inset
624
625
626\end_layout
627
628\begin_layout Subsection
629Determine Domination (e.g.
630 Mark solution)
631\end_layout
632
633\begin_layout Itemize
634Simple approch
635\end_layout
636
637\begin_layout Itemize
638Sum all pixels of
639\begin_inset Formula $n*n$
640\end_inset
641
642 board and match if
643\begin_inset Formula $sum=n*n$
644\end_inset
645
646
647\end_layout
648
649\begin_layout Section
650GPU Optimalizations
651\end_layout
652
653\begin_layout BeginFrame
654Colour Channels
655\end_layout
656
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659 filename C:/Documents and Settings/rvdzwet/Desktop/liacs/SCA2010/presentation1/pasted5.emf
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663
664
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666
667\begin_layout Itemize
668GPU is able to process all colours at the times
669\end_layout
670
671\begin_layout BeginFrame
672Grid Framebuffer
673\end_layout
674
675\begin_layout Itemize
676GPU has many CPU's called kernels
677\end_layout
678
679\begin_layout Itemize
680Each kernel can process it's own little block of information
681\end_layout
682
683\begin_layout Itemize
684Putting multiple possible solutions in one bloc
685\end_layout
686
687\begin_layout Section
688Results
689\end_layout
690
691\begin_layout Subsection
692Main Results
693\end_layout
694
695\begin_layout BeginFrame
696Conclusions and Future Work
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698
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721
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723
724
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726
727\begin_layout Plain Layout
728Execution times (log scale) of CPU and GPU based minimum domination implementati
729ons computing
730\begin_inset Formula $y(Q_{n})$
731\end_inset
732
733.
734 As
735\begin_inset Formula $n$
736\end_inset
737
738 increases, the GPU's speed advantage over the CPU become more evident.
739\end_layout
740
741\end_inset
742
743
744\end_layout
745
746\begin_layout BeginFrame
747Conclusions and Future Work [2]
748\end_layout
749
750\begin_layout Itemize
751Domination texture good mapping between CPU world and GPU world
752\end_layout
753
754\begin_layout Itemize
755Flexible texture definition without any impact
756\end_layout
757
758\begin_layout Subsection
759Discussion
760\end_layout
761
762\begin_layout BeginFrame
763Discussion
764\end_layout
765
766\begin_layout Itemize
767No significant speedup, claim that
768\begin_inset Formula $n\geq13$
769\end_inset
770
771 GPU is
772\emph on
773'much'
774\emph default
775faster
776\end_layout
777
778\begin_layout Itemize
779No scaleable
780\end_layout
781
782\begin_layout Section*
783Summary
784\end_layout
785
786\begin_layout BeginFrame
787Summary
788\end_layout
789
790\begin_layout Itemize
791First GPU algoritm for solving minimum domination described at the time
792\end_layout
793
794\begin_layout Itemize
795Using texture mapping to build bridges between the CPU world and GPU world
796\end_layout
797
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828Outlook
829\end_layout
830
831\begin_deeper
832\begin_layout Itemize
833Make it scale so its decision algoritms is much smarter
834\end_layout
835
836\begin_layout Itemize
837Build a framework to allow easy and proper testing for various combinations
838\end_layout
839
840\end_deeper
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842
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844
845\begin_layout Section*
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851All of the following is optional and typically not needed.
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853
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856Appendix
857\end_layout
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860For Further Reading
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862
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864For Further Reading
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895LatexCommand bibitem
896key "DM2003"
897
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899
900E.
901 J.
902 Cockayne
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933\emph on
934Discrete Math
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936., 86:1320, 1990.
937\end_layout
938
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942key "CDGPU2006"
943
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945
946Nathan Courni
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961Chessboard Domination on Programmable Graphics Hardware
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963
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977\emph on
978ACM SE'06 March 10-­12, 2006
979\emph default
980.
981 Melbourne, Florida, USA
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999Followed by interesting articles.
1000 Keep the list short.
1001
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1003
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1008
1009\end_body
1010\end_document
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