lecture #6: mean-value theorems - asl · 2 lecture #6: mean-value theorems ee210b: inference over...
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![Page 1: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/1.jpg)
Proc. IEEE, vol. 102, no. 4, pp. 460-497, April 2014. Foundations and Trends in Machine Learning, vol. 7, no. 4-5, pp. 311-801, July 2014.
Course EE210B Spring Quarter 2015
1
Professor Ali H. Sayed UCLA Electrical Engineering
INFERENCE OVER NETWORKS
LECTURE #6: Mean-Value Theorems
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 2
References
Appendix D (Mean-Value Theorems, pp. 744-748):
A. H. Sayed, ``Adaptation, learning, and optimization over networks,'' Foundations and Trends in Machine Learning, vol. 7, issue 4-5, pp. 311-801, NOW Publishers, 2014.
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 3
Setting
![Page 4: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/4.jpg)
Proc. IEEE, vol. 102, no. 4, pp. 460-497, April 2014. Foundations and Trends in Machine Learning, vol. 7, no. 4-5, pp. 311-801, July 2014.
Course EE210B Spring Quarter 2015
Real Arguments
![Page 5: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/5.jpg)
Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 5
Real Arguments
![Page 6: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/6.jpg)
Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 6
Real Arguments
![Page 7: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/7.jpg)
Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 7
Real Arguments
![Page 8: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/8.jpg)
Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 8
Real Arguments
![Page 9: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/9.jpg)
Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 9
Real Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 10
Real Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 11
Real Arguments
![Page 12: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/12.jpg)
Proc. IEEE, vol. 102, no. 4, pp. 460-497, April 2014. Foundations and Trends in Machine Learning, vol. 7, no. 4-5, pp. 311-801, July 2014.
Course EE210B Spring Quarter 2015
Complex Arguments
![Page 13: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/13.jpg)
Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 13
Complex Arguments
![Page 14: LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):](https://reader033.vdocuments.site/reader033/viewer/2022060516/6018389ee0cf5931c5516834/html5/thumbnails/14.jpg)
Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 14
Complex Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 15
Complex Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 16
Complex Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 17
Complex Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 18
Complex Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 19
Complex Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 20
Complex Arguments
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 21
Example #D.1 21 21
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Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 22
Example #D.1 22 22
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Proc. IEEE, vol. 102, no. 4, pp. 460-497, April 2014. Foundations and Trends in Machine Learning, vol. 7, no. 4-5, pp. 311-801, July 2014.
Course EE210B Spring Quarter 2015
End of Lecture