lecture #19: long-term network dynamics...2 lecture #19: long-term network dynamics ee210b:...
TRANSCRIPT
![Page 1: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/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 #19: Long-Term Network Dynamics
![Page 2: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/2.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) 2
Reference
Chapter 10 (Long-Term Network Dynamics, pp. 552-573):
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.
![Page 3: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/3.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Setting 3
![Page 4: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/4.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Setting 4
![Page 5: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/5.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
Long-Term Model
![Page 6: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/6.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 6
![Page 7: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/7.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 7
![Page 8: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/8.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 8
![Page 9: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/9.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 9
![Page 10: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/10.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 10
![Page 11: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/11.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 11
![Page 12: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/12.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 12
![Page 13: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/13.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 13
![Page 14: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/14.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 14
![Page 15: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/15.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 15
![Page 16: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/16.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 16
![Page 17: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/17.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 17
![Page 18: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/18.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 18
![Page 19: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/19.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 19
![Page 20: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/20.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Long-Term Error Model 20
![Page 21: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/21.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
Approximation Error
![Page 22: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/22.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Size of Approximation Error 22
![Page 23: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/23.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Size of Approximation Error 23
![Page 24: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/24.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Size of Approximation Error 24
![Page 25: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/25.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 25
![Page 26: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/26.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 26
![Page 27: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/27.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 27
![Page 28: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/28.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 28
![Page 29: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/29.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 29
![Page 30: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/30.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 30
![Page 31: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/31.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 31
![Page 32: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/32.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 32
![Page 33: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/33.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 33
![Page 34: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/34.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 34
![Page 35: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/35.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 35
![Page 36: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/36.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 36
![Page 37: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/37.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 37
![Page 38: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/38.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 38
![Page 39: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/39.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 39
![Page 40: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/40.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 40
![Page 41: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/41.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
Second-Order Stability
![Page 42: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/42.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Second-Order Error Moment 42
![Page 43: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/43.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Second-Order Error Moment 43
![Page 44: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/44.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 44
![Page 45: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/45.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 45
![Page 46: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/46.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 46
![Page 47: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/47.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 47
![Page 48: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/48.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 48
![Page 49: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/49.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 49
![Page 50: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/50.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Sketch of Proof 50
![Page 51: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/51.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Sketch of Proof 51
![Page 52: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/52.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Back to Detailed Proof 52
![Page 53: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/53.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 53
![Page 54: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/54.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 54
![Page 55: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/55.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 55
![Page 56: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/56.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 56
![Page 57: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/57.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 57
![Page 58: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/58.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 58
![Page 59: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/59.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 59
![Page 60: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/60.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
Fourth-Order Stability
![Page 61: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/61.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Fourth-Order Error Moment 61
![Page 62: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/62.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Fourth-Order Error Moment 62
![Page 63: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/63.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 63
![Page 64: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/64.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Sketch of Proof 64
![Page 65: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/65.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 65
![Page 66: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/66.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 66
![Page 67: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/67.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 67
![Page 68: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/68.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 68
![Page 69: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/69.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Back to Detailed Proof 69
![Page 70: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/70.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 70
![Page 71: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/71.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 71
![Page 72: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/72.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 72
![Page 73: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/73.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 73
![Page 74: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/74.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 74
![Page 75: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/75.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 75
![Page 76: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/76.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 76
![Page 77: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/77.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 77
![Page 78: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/78.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
First-Order Stability
![Page 79: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/79.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
First-Order Error Moment 79
![Page 80: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/80.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 80
![Page 81: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/81.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 81
![Page 82: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/82.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 82
![Page 83: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/83.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 83
![Page 84: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/84.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Proof 84
![Page 85: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/85.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
Comparing Consensus & Diffusion
![Page 86: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/86.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Setting 86
![Page 87: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/87.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.1 87
![Page 88: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/88.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.1 88
![Page 89: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/89.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.1 89
![Page 90: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/90.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.1 90
![Page 91: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/91.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.1 91
![Page 92: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/92.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 92
![Page 93: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/93.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 93
![Page 94: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/94.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 94
![Page 95: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/95.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 95
![Page 96: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/96.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 96
![Page 97: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/97.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 97
![Page 98: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/98.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 98
![Page 99: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/99.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 99
![Page 100: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/100.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 100
![Page 101: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/101.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 101
![Page 102: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/102.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 102
![Page 103: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/103.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 103
![Page 104: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/104.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 104
![Page 105: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/105.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 105
![Page 106: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/106.jpg)
Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed)
Example #10.2 106
![Page 107: LECTURE #19: Long-Term Network Dynamics...2 Lecture #19: Long-Term Network Dynamics EE210B: Inference over Networks (A. H. Sayed) Reference Chapter 10 (Long-Term Network Dynamics,](https://reader036.vdocuments.site/reader036/viewer/2022071407/60fd989da0c4905309131aa4/html5/thumbnails/107.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
End of Lecture