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Coreference Resolution
- 1. Corefrence Resolution A Machine Learning Approach nicolas_ nicolov @ jdpa .com shumin. wu @ colorado .edu Shumin Wu Ph.D. Candidate in Computer Science University of Colorado at Boulder The Center for Spoken Language Research 1777 Exposition Drive Boulder, Colorado 80301, U.S.A. Nicolas Nicolov Senior Director, Science J.D. Power and Associates, McGraw-Hill Web Intelligence Division 4888 Pearl East Circle Boulder, CO 80301, U.S.A.
- 3. Coreference Audi is an automaker that makes luxury cars and SUVs. The company was born in Germany . It was established by August Horch in 1910. Horch had previosly founded another company and his models were quite popular. Audi started with four cylinder models. By 1914, Horch 's new cars were racing and winning. August Horch left the Audi company in 1920 to take a position as an industry representative for the German motor vehicle industry federation. Currently Audi is a subsidiary of the Volkswagen group and produces cars of outstanding quality.
- 5. MUC6 F-measure a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: Count the number of corresponding links between mentions Precision = 4/5 Recall = 4/6 F-measure = 2* Precision * Recall/( Precision + Recall ) = 0.727
- 6. MUC6 F-measure Degenerate Case a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: Precision = N/A Recall = 0 F-measure = N/A a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Discounts single mention entities All mentions form individual singleton entities.
- 7. MUC6 F-measure Degenerate Case 2 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: Precision = 6/8 Recall = 1 F-measure = 0.857 !!! a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Does not adequately penalize dense links. All mentions form one big entity.
- 9. B 3 F-measure a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: For each mention, compute the proportion of corresponding mentions between reference and system entity. Precision =1/9*( Recall = 1/9*( F-measure = 0.760 3/3 +3/3 +3/3 +1/3 +2/3 +2/3 +1/1 +2/2 +2/2 ) = 0.852 3/4 +3/4 +3/4 +1/4 +2/2 +2/2 +1/3 +2/3 +2/3 ) = 0.685
- 10. B 3 F-measure Degenerate Case a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: Precision = 1 Recall = 1/3 F-measure = 0.5 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 All mentions form individual singleton entities.
- 11. B 3 F-measure Degenerate Case 2 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: Precision = 1/9*(4/9+4/9+4/9+4/9+2/9+2/9+3/9+3/9+3/9) = 0.358 Recall = 1 F-measure = 0.527 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Which system entity maps to which reference entity? All mentions form one big entity.
- 13. CEAF a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: Find the one-to-one entity mapping between reference (R) and system (S) maximizing similarity measure
- 14. CEAF Degenerate Case a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 All mentions form individual singleton entities.
- 15. CEAF Degenerate Case 2 a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 Reference: System output: a 1 a 2 a 3 a 4 b 1 b 2 c 1 c 2 c 3 All mentions form one big entity.
- 27. Heuristic System: Results Order of clustering (local (mentions within sentence) to global, forward, and reverse direction) did not alter our results. Configuration MUC-F MUC-P MUC-R B 3 -F B 3 -P B 3 -R Unlinked entities -- -- 0 71.8 100 56.0 Single entity (w/ all mentions) 61.4 44.3 100 8.6 4.5 100 w/ editing distant 66.2 64.0 68.5 78.6 76.8 80.4 editing dist. at sentence level 64.8 63.7 66.0 78.7 77.8 79.4 w/o editing distant 70.0 75.8 64.9 83.0 86.8 79.5 Edit dist + cardinality match 70.4 78.7 63.7 83.7 89.2 78.8
- 30. Robust Risk Minimization (RRM) RRM was proposed by Tong Zhang; best CoNLL’03 chunker. Separate positive and negative weights Multiplicative weight update
- 31. Bell Tree Input sequence: a 1 , b 1 , b 2 , a 2 … Lots of states in the search space to explore! [ a 1 ] [a 1 , b 1 ] [a 1 ][ b 1 ] [a 1 ,b 1 , b 2 ] [a 1 ,b 1 ][ b 2 ] [a 1 , b 2 ][b 1 ] [a 1 ][b 1 , b 2 ] [a 1 ][b 1 ][ b 2 ] [a 1 ,b 1 ,b 2 , a 2 ] [a 1 ,b 1 ,b 2 ][ a 2 ] [a 1 , a 2 ] [b 1 ,b 2 ] [a 1 ][b 1 ,b 2 , a 2 ] [a 1 ][b 1 ,b 2 ][ a 2 ] [a 1 ,b 1 ][b 2 ][ a 2 ] [a 1 ,b 1 , a 2 ][b 2 ] [a 1 ,b 1 ][b 2 , a 2 ] [a 1 ,b 2 , a 2 ][b 1 ] [a 1 ,b 2 ][b 1 , a 2 ] [a 1 ,b 2 ][b 1 ][ a 2 ] [a 1 , a 2 ][b 1 ][b 2 ] [a 1 ][b 1 , a 2 ][b 2 ] [a 1 ][b 1 ][b 2 , a 2 ] [a 1 ][b 1 ][b 2 ] [ a 2 ]
- 33. Bell Tree in Action Input sequence: a 1 , b 1 , b 2 , a 2 , c 1 … Coreference probability: [ a 1 ] p = 1 [a 1 , b 1 ] p=0.4 a 1 b 1 b 2 a 2 c 1 a 1 1 b 1 0.4 1 b 2 0.2 0.9 1 a 2 0.8 0.1 0.3 1 c 1 0.4 0.3 0.4 0.2 1 [a 1 ][ b 1 ] p=0.6 [a 1 ,b 1 , b 2 ] p=0.36 [a 1 ,b 1 ][ b 2 ] p=0.04 [a 1 , b 2 ][b 1 ] p=0.12 [a 1 ][b 1 , b 2 ] p=0.54 [a 1 ][b 1 ][ b 2 ] p=0.06 [a 1 ,b 1 ,b 2 , a 2 ] p=0.288 [a 1 ,b 1 ,b 2 ][ a 2 ] p=0.072 [a 1 , a 2 ] [b 1 ,b 2 ] p=0.432 [a 1 ][b 1 ,b 2 , a 2 ] p=0.162 [a 1 ][b 1 ,b 2 ][ a 2 ] p=0.108 [a 1 ,b 1 ,b 2 , a 2 , c 1 ] p=0.1152 [a 1 ,b 1 ,b 2 , a 2 ][ c 1 ] p=0.1728 [a 1 ,a 2, c 1 ][b 1 , b 2 ] p=0.1728 [a 1 ,a 2 ][b 1 , b 2, c 1 ] p=0.1728 [a 1 ,a 2 ][b 1 , b 2 ][ c 1 ] p=0.2592
- 38. Thank you!
Editor's Notes
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 100648 mentions 67038 coref groups longest mention: http://images.myride.com/images/non-vehicle/Misc/Shows/2007%20Sema/Jeep/Wrangler/OEM/JeepWranglerUltimatewith392HEMIfromMopar2_ (544x408).jpg CookingMethod 8 CameraFeature 9575 Vehicles.SUVs 2347 FoodFeature 348 Person 13505 Vehicles.Cars 10258 Units.Money 986 FoodPart 13 Vehicles.Trucks 467 Location 245 Units 1192 Time.Date 103 CameraPart 3240 Time.Month 171 Time.DaysOfTheWeek 49 Food 801 Marketing 124 Time.Year 1443 CookingTool 3 CarFeature 6119 Time.OClock 21 CarPart 15478 Vehicles 905 GeoPolitical 138 Units.Rate 764 GeoPolitical.City 360 Beverage 82 Time 924 Organization 8206 CameraAccessory 352 Meal 28 Units.Age 57 Facility 1052 Descriptor 13087 GeoPolitical.USStates 127 GeoPolitical.Countries 316 Time.Duration 540 Camera 5197 nutrient 247 GeoPolitical.Nationalities 195
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.
- 02/21/10 23:38 © 2007 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.