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Page 1: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 2: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

WEIGHTS

/ µ( 1

'×'s ×Y - .

; XD

M→/_- ,

- - 0

Page 3: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 4: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Assume

INDEPENDENCE

TRIG

←

propuc¥2tln÷

Page 5: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

KERD

Page 6: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 7: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 8: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 9: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 10: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

maid•

•→→ •

poet →

@ man'

←...

Page 11: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

× = [ ?g¥g| ⇒ Xittclixiixir . . xin )

Page 12: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 13: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 14: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

SCZ ) =1

It e-Z

÷l the )= Ta ( i+e→5'

= - late- £52 ( - e- 2) . CI

( Ife- 2)

i¥ih÷⇒=n±→e¥÷k÷dh⇒

Page 15: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

1 /

-scwtx

. )¥z4wt×D × , , ,

, ,±,µ,sctwxintscwtx'D ofwdwtxi )

→ ( 1 - Slwtxi ) ) Xik

Page 16: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

÷Twtxl ' slwtxik.sc#wxDx.n

=- SCWTX ; )Xiw

Page 17: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

{ yi -yisw.su#,xgisY"

} Xin÷§, { yi - slwtxi ) } xic

- ,§, { scwtxi ) - yi } Xiu

Page 18: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 19: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 20: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 21: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 22: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 23: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 24: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

•

Page 25: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

am*

MaimHim

Page 26: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

pay

NeillW

Page 27: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

--E¥#@

Page 28: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

HOLD - out

Nufferan

Page 29: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

⇐ =

Page 30: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

±-

Page 31: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 32: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

says;,a.a.ae#m

⇒⇐ HMM

y=o →x. = [by }

w .

f:;]

" '[

y ,= I µi= [ sigmlwtxis

- yi ] = [ 's - 1) =- I

sign will a ¥ .

= tz

Ethan . ledwas . En

Page 33: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

w.ie#Ef&ln-oa 0

µz= [ sigmlwtxr )- yz ] wtx = •

5+0+3

t 1.5 to . 5

{ signs ) - ° ] = 0.993

lean . .net . Elfie,t¥"

Page 34: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 35: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 36: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 37: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

Page 38: 1 'sketelsen/files/courses/csci... · 2018-01-31 · Logistic Regression Last time we learned about the Logistic Regression classifier p(y = 1 | x; w) = sigm(wTx) = 1 + exp(—wTx)

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