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MinHashing
"÷÷÷÷÷÷÷÷*.
Kgs: 5=6 . . . .se ):.:JSCABS-f.IT#--Ys:i7T.s.ozi-I--I
Family Hash Functions If Si = Elie . 53u
all ha,
who penn Sees 33CrisciRand lords draw h
,rE) f 53=433,46 ?
then ha ,deterministic 34=444,63
D ← domain
ha .
i Cn ] → Sets Siccn ]Important :
has order
he,
(1) → z
haz -
ha
.ca#ggg.Cs7--smei$nhr.Cs)
hr,
C 5) s 4es . g. 45,3=3
of = permutation
oma⑧⑦z④⑤⑥7%
Cn7=Go ]hr
,
1700302600041001985
→ 6
hgz
⑧⑧67105041093
→ 2
Way togo
from
S,=Eli* EI's7.
. . . .
g. Csi ) → u,sn=hgzcsi ) → Vz ) , v=Cv , .ua ,
. . . has E Cn]k, UCSD = ( 3,1 ,,6 . . .
,x )
i
gods :) → VrVKD-fg.z.iq#AprJs(S,.Sa)=f.IIgiitvicsd--uics.d
= ¥0 aw .
Foraus two sets s
.
,
S,
ha,
those,
- . . hot Tid ) - (
ECIscsi.s.D-s-scs.is#Efsscs..saD--EAz&iiICq.cs.s=sgiCsD--
EE?EEIG.icsd-gicsDJP.fgecs.S-gics.D-s-scs.is#
Decompose En ] → A,
B,
C
JS=A objects hashed to by SES
, and sesz
I Ahl Bl B objects hashed to by SES , as Sese,
not hell
C objects haste to ↳ x ES. use
Fastmintlashgir-gc.is/esccnT)-sCn3
choose C random ) hash functor -
fii Cn ] → Cm ] m > n
Vi =D Hi Domain
for y --
Hoe④= Ex, ,xz ,
. .. te
}]i¥÷÷i÷÷÷÷:c .
Return V - ( Vi,
V2,
- ' - Ut ) X e S
Seat
How large should te be ?C- H -
-
X, ,X . ,
.. . Xu U Xi E Coil ]
A- = III. x. .
EGM - Ecxi ] -
- ee
Pr GA- ul - e ]szexpfzik.com
{ = 0.05
f- Zexpf - z ( o.
05512 )
hat E) =- Hafiz
ht f) =z( to ) 't ⇒ 12=4021 lmfaoo )
(2--2001600)=1060
ha,
(1) → z
htz
ha.
Cass gg.CI) =
y :$hols )
hr,
C 5) s 4es . g. 45,3=3
of = permutation
oma⑧⑦z④⑤⑥7ICnT=Go ]
hr,
1070302600041001985
→ 6
hgz
⑧⑧6710504to 93 → 2
I 6 4 2 78 co 9 53hisABCXBBBCX#if
s, If'm Ito 887
Sz 7¥ 0275①①
O 0I