Probablistic Data Structures

Transcript

1. Вероятностные структуры данных Сергей Архипов, 2017

2. None
3. None

4. curl http://site.com

5. curl -x myproxy.ru:3128 http://site.com

6. curl -x proxy.crawlera.com:8010 http://site.com

7. None

8. evt evt evt evt evt

9. { "user": "sarkhipov", "hostname": "rannts.ru", "status": "ok", "status_description": "" }

10. { "user": "sarkhipov", "hostname": "rannts.ru", "status": "ok", "status_description": "" }

11. None

12. collector collector collector

13. { "user": "sarkhipov", "hostname": "rannts.ru", "status": "ok", "status_description": "" }

    { "user": "sarkhipov", "hostname": "rannts.ru", "status": "ok", "status_description": "" } { "user": "sarkhipov", "hostname": "rannts.ru", "status": "ok", "status_description": "" } { "user": "sarkhipov", "hostname": "rannts.ru", "ok": 234, "banned": 12, "errors": 3, }

14. Consumer 1 { "user": "sarkhipov", "hostname": "rannts.ru", "ok": 234, "banned":

    12, "errors": 3, } Consumer 2 { "user": "sarkhipov", "hostname": "rannts.ru", "ok": 250, "banned": 3, "errors": 0, } Consumer 3 { "user": "sarkhipov", "hostname": "rannts.ru", "ok": 0, "banned": 124, "errors": 84, }

15. INSERT INTO stats ( date, user, hostname, ok, ban, error

    ) VALUES ( :date, :user, :hostname, :ok, :ban, :error ) ON DUPLICATE KEY UPDATE ok = ok + VALUES(ok), ban = ban + VALUES(ban), error = error + VALUES(error);

16. { "user": "sarkhipov", "hostname": "rannts.ru", "status": "ok", "status_description": "", "response_time":

    2861, }

17. (20 + 10) + 11 = (20 + 11) +

    10

18. F(x)=P{σ<x} { P(x⩽x α )⩾α P(x⩾x α )⩾1−α

19. Ω(N 1 p )

20. collector collector collector pworker pworker pworker

21. None
22. None

23. var memCount = 75604275; var memPerSec = 1.38176367782; function updateCount()

    { next = -(1000 / memPerSec) * Math.log(Math.random()); memCountString = ''+memCount; len = memCountString.length; memCountString = memCountString.substr(0, len - 6) + ’ < span style = ”font - size: 8 px” > < /span>’+memCountString.substr(len-6,3)+‘ < span style = ”font - size: 8 px” > < /span>’+memCountString.substr(len-3,3); ge(‘memCount’).innerHTML = memCountString; memCount = memCount + 1; setTimeout(updateCount, next); } addEvent(window, ‘load’, updateCount);

24. 3500 3671 3400 3502 3463 3371 3607 6012 6168 6211

    6017

25. 3500 3507 3671 3667 3400 3410 3502 3502 3463 3466

    3371 3330 3607 3599 6012 6009 6168 6152 6211 6215 6017 6016

26. Count-Min Sketch 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

27. Count-Min Sketch 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

28. Count-Min Sketch 0 0 1 0 0 0 0 0

    1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1

29. Count-Min Sketch 32 11 1 18 200 126 184 78

    1 0 91 59 30 24 8 82 76 34 48 72 11 200 129 136 14

30. Count-Min Sketch 32 11 1 18 200 126 184 78

    1 0 91 59 30 24 8 82 76 34 48 72 11 200 129 136 14

31. MinHash J (A , B)= |A∩B| |A∪B| k=[ 1 ε2

    ]

32. HyperLogLog 010010000110010101101100011011000110111100100001 b 26 = 64 1001 b = 9

    100001 b = 33 σ= 1.04 √2k E= α(k)4k ∑ j 2−M j

33. t-digest

34. t-digest

35. t-digest

36. t-digest X=x 1 , x 2 ,…, x n X={s

    1 ,s 2 ,…,s m } s i ={x l e f t(i) ,…, x r i ght(i) }

37. t-digest k(q,δ)≝δ (sin−1 (2q−1) π + 1 2 ) K(i)≝k(

    r i ght(i) n ,δ)−k( le f t(i)−1 n ,δ) K (i)⩽1 K(i)+K (i+1)>1

38. t-digest

39. t-digest

40. collector collector collector pworker pworker pworker

41. None

42. Q/A