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FEIGN.fr#_BinargSets

- Vector

:¥ /JSLA ,B)=Itn3 V

IAUBI CompareA={ oil ,

.is/B=#53zLSH13=6,2 , 3.5.73 |{ o.li?3.s.6.73l=F

S,

= { i. 2,53

Sz = { 33JSCS

, ,s3) = 1453114,713/4,531

sz= { 23.4.53 =

zsceei.4i63EEsGi.ED-JG.5s@sS.Sz53 Sy

eek.io#ooFeeiIi:aefIEiE:TH5

6

M 2 3 2 6

J^s( s, ,§)={ 1 if

mail.mni '

o otherwise

k random reorders it1.2 , . . .k

Set

Si⇒value ( M

, fsi ),

mzcsi , . " mrk:))

Vi=V3= ( 2

,70 ,19023

,...

,@) e tSi, ⇒Viau,=( 3,

70,

42,

..

.

,

@T0 1 0 - ^ . 1

FSG :S . :) ._ { 1 ifmicsi . ) - M ;Cs .. )is,s ,

0 o . in?' 53

5s=÷g¥,J§Gi;E)

wyE€sCs.,sD]=JS(s=3 types f rows

(T×)= # rows Si and S,

have I

⇐D= # rows exactly 1 of s. ,S >

have 1

uthr hasd

⇐⇒ = # rows 5. and 5 have 0

.

JSCS, ,sz)=÷I'g ⇒ can ignore #-)

Collision MG. )=m(sz) iff ef Tx and Toy rows

atx is at the fop .

Psob [ collision ] = ECFS ]=F¥q=JS

Toptnsketchesto 2

S,

1 05<-02 6

3 ← a6 1

4 0

MG .)= ( s, 3)

Fast Min flashingAkooritReplace re - orders w/ hash fans

.

Hash fxns hcchz,

... ,hk

h ; :{ element bset }→[n]={ 1,2

, ...1024 }

S→v=( v.,

a,

- .. Vr )

-

for IES

!;rrinpaaaemm;# trial:tII↳s" has

Vj←h;Ci )

Se { 1,3 ,63

÷hzy; "l¥÷t÷±

4 5→| ( → 65 6→36 592

6→6V.=DVzt I

l V.= 2

as

y=z2<6 hash fxns

6

Vt2 2<3

are fixedH :{ h

.

,

-4 . )fhl a → Rk=vs

for all sets

CentraliaX= { X.

,X

, ...Xr } r random variables

.

iid.

A=¥gIn×iE[A]=E[x :]

var CA ) = Var[x :]izw.IE#hionv;eIValue A

Probably Aprox Correct

Pratt - Ek :] ) > if < S

g p

/ µ error probablytolerance of

estimate whit failurewant

want a,

8 small

Algorithm has r steps

ch.no#-HueCfdingBo=iid X

,...

Xr A- IEI. ,

X .

r=k

D= b- a sit . Xi C- [ a. b]IS #

*oi

Prfltt - Ecxisl > B±2e×p( Ei )press - ss 1 >o÷]£2e×p(-2¥

"2 )# ±ze×p( Toot)=2e×pf :o)

=ze- 10