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

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.

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 3

Setting

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

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 5

Real Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 6

Real Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 7

Real Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 8

Real Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 9

Real Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 10

Real Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 11

Real Arguments

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

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 13

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 14

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 15

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 16

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 17

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 18

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 19

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 20

Complex Arguments

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 21

Example #D.1 21 21

Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) 22

Example #D.1 22 22

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