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Ù

î

Ýt

x{ u{~|t wt w{t u{w v} ê

w~t t¤t}

{ ¤ty |{ut}t v} ||{~wt ~w u{~|w

w{v t|tu{v u{~|ww{v v} ¤tyw~t tu

t} {w v Û ywt~ y v ~wx t |t

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v {tvwtx¡t{v¢ y} ywt~ w

vtwy

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t v~t { uxwt ë u{tv {xx{ ë ÙÞ

v} ë Þ

t t} { ê v} êsïÛ }wtz

ë Ù

v} ë Þ

t { " }wt {

||{u v x{w~ zt u{{t { xx wtw

v} y v }8ttvw wtw £t xt {

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~w

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.1

0.2

0.3

0.4 Precision

Recall

CRAN matrix k = 256

CPM

SSP

DSP with ns=2,

µ

=10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.1

0.2

0.3

0.4

0.5 Precision

Recall

CRAN matrix k = 500

CPM

SSP

DSP var1: ns=2,

µ

=10

DSP var2: ns=3,

µ

=10

t

tu{vtuxxwtw{ ês

ïÛ }wt

t¤ty|tu{vwtw{xxwtt}wtttv

v

z

Ùz v}

Ýt t v{w |t} ww

ê twwt ¤ty txw ê ~w ~u

~{t}tvt¡txx{wvwtxwtwtw¢v}tvut

~{t uuwt wv ww { v}

Ýtwtv u{~|twtw{tu{wt¤t}v |t{

wtw y xwv wt v~t { v{vt{ { wt ||{

~wt ~w v} ê

~w ¡

¢

t

wtwtxw|ttvwt} v wtxtw v} w|vtx v Ü

t u{t|{v}v w{ wt ||t |vtx v} }{v |vtx v

z Ùzv} t|tuwtxy {~ w wtw t

ttww v} t~u xt~t~{y|ut wv

ê

ê{v

}tv wt uw w {w î

xt ~t~

{y u{w wv ê z v} 8t {vxy

|t

u{v x{wz wty ~y t ~{t wwuwt w{t u{w

{wwxtvtuÚ Ýt x{ wt} w{ |y wt ê ~

w y }{||v ~xx tvwt

y t}uv Ù

{ wt

~t~{y w{tzwt|tu{v x{w~{twv Ü

{

êw ë Þ

(5)

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.1

0.2

0.3

0.4 Precision

Recall

CISI matrix k = 256

CPM

SSP

DSP with ns=2,

µ

=10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.1

0.2

0.3

0.4

0.5 Precision

Recall

CISI matrix k = 500

CPM

SSP

DSP var1: ns=2,

µ

=20

DSP var2: ns=3,

µ

=8

t Ù tu{vtuxxwtw { ê }wt

v{}tw{ttu|wy|wwtv{{}ztu{~|t

v} yvutvwt}tvwy{wt ~w

v wt wtw { xx wtt }wt w ë Þ

v wt

}{v|vtx {wt

z

Ù v}

zwt|tu{v

tuxx ut u{t|{v}v w{ Ù t twwt {

tyux{tw{ ww{ xt wxx t ~xxt ~t~{y

|utu{~|t}w{w~tvztvwt~tw{

t u{vwvwz }yv~u |wy |wwtv wwty ~{t

uuwtxyu{~|wt|t||{~wt~wwv wt

wwu|wy |wwtv wwty

vxxy t t wt ¤ty w~t v} w{wx

ê

w~t t

¤t}{wt¤ty|{ut}tv} ~wu{~|ww{v

t ¤ty w~t {vt { wt ~{w ~|{wvw |tuw v

v{~w{v twtx ywt~ w 8tuw wt twtx |t

{~vut

Ýttt{~ wt||t|vtx {wt

Þww

v} twxyt}ut wt ¤ty w~t t¤t} y

ê ||{u }t w{ wt ty |t ~wut ë

xtzwtvt ||{utx{ t}utw{wx ê

w~t

wtvtt{

wÚt ~u w~t { ê ztt wt

}{v |vtx v Þ

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1 Precision

Recall

MED matrix k = 200

CPM

SSP

DSP with ns=2,

µ

=10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9 Precision

Recall

MED matrix k = 500

CPM

SSP

DSP var1: ns=2,

µ

=10

DSP var2: ns=3,

µ

=10

t

tu{vtuxxwtw { " }wt

(pááçm

Ýtt}ttx{|t}v~tux ~w u{~|ww{v ~tw

{} t} {v wwu |wy |wwtv ¡ ¢ v} }yv~u

|wy|wwtv ¡ ¢w{ u{~|wtwt ||{~wt~

w w{ wt u{vut|w ~w }tu{~|{w{v

Ýt wtwt}

v} u{~|t} w ê t} twtx ut~ v

{ v~tux t|t~tvwz wt |wy |wwtv t}

||{ut v} wv {w w{ t ~{t u{~|tw

wtv wt~{¤ty |tu{vzu{~|ww{vxu{w v}

~t~{y |ut

Ýw wt u{~|{v {

v}

|wy |wwtv

wwttz

}|xy {~t { wt {xx{v }v

wt www wu{~|wt ~{tuuwt||{

~wt~wwv

tvwt~t}tvwyu{vwvw

tu{v}wwwtuuuy{wt||{~wt}tu{~|{

w{v ~w uv t u{vw{xxt} txy y xx{v ~{t

|}wt wt|z t uv u{~|wt ~{t uuwt ||{

~wt }tu{~|{w{v ~w

}z wt v{~w{v

twtx}wt~yt|}wt}|t{}uxxyw{uu{~

(6)

CRAN

CISI

MED

0

50

100

150

200

250

300

350

400 Storage costs, k=256, k=200

Number of nonzeros in thousands

Databases

CPM

SSP

DSP

CRAN

CISI

MED

0

100

200

300

400

500

600

700

800 Storage costs, k = 500

Number of nonzeros in thousands

Databases

CPM

SSP

DSP var1

DSP var2

t Ü w{t u{w u{~|{v { wtt }8ttvw t

wtx ~tw{}

CRAN

CISI

MED

0

5

10

15

20 Database query time, k=256, k=200

CPU time in seconds

Databases

CPM

SSP

DSP

CRAN

CISI

MED

0

5

10

15

20

25

30 Database query time, k = 500

CPU time in seconds

Databases

CPM

SSP

DSP var1

DSP var2

CRAN

CISI

MED

0

5

10

15

20 Total CPU time , k = 256, k = 200

CPU time in seconds

Databases

CPM

SSP

DSP

CRAN

CISI

MED

0

5

10

15

20

25

30

35 Total CPU time , k = 500

CPU time in seconds

Databases

CPM

SSP

DSP var1

DSP var2

tÞ ê w~t{ ¤ty|{ut}tv}~wu{v

wuw{v

}{u~tvwz wt u{~|wt} |wy |wwtv ~y t t}

wwu|wy|wwtvv{~tvwt~t}wt}wt

|}wt

w wt }yv~u |wy |wwtv wwty

~{tt|tvtvwt~{u{~|ww{vxu{w

Û

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