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# Locally Weighted Regression Classifier

Authors:
Locally Weighted Regression Classier
Presentation Edited By
Arshid Ali
(SP21-REE-004)
ECE Department
(Date: 2/2/2022)
Associate Professor, Department of Computer Science

Outline
 
 
 
!"#
\$ %!
& '(!
) "
* +"
, !!
- .

Preliminary/
Classier 0
..12
Supervised Learning 3!"3
#4354

Smoothing parameter6!##"3
.7.6!3#"!#
.84
Modeling parameter83

Preliminary/

Parametric963"4(.!
34!"3:3
".!".!63!
.!;3!
!#6;.
Non-Parametric9<=63"!
!!!>
3!.#.""

Preliminary/

Local weighted least squares:
?3
Based on the rst law of geography: "3
"6#

K-Nearest-Neighbour:
!"
@#"#
4!#@#
.#33"#
#!4##ABC
\$
Introduc'on
@     "! #Cleveland and Susan
J.Devlin,**
 3     =! 6  6 
does not learn4(.!.!=!4!
!".4
!#
 3   a memory-based method that performs a
regression around a point of interest using only training dataDDAA
!5
 5.!!(#E!
 5(!3#.E!
 5.!#.
!!(=".
F..E4
!!(" 
&
LWR Working 1/2
3!"
=!
@(<!3!/3!
3=#0=6=#6
=#
%5
 +G!
 7="
 7!!#
H%.
\$ %.(!
& %!

)
LWR Working 2/2

<=!
4!
%!!!.(!3
!63E!6.
%!.

I.!3(=
!#3JK63

7!!3
*
Improvements Base Learners
<L" M    3     "4  
@."
 . !     .  ! 3 

B<<algorithm..!3#
=!#.66
3!..3.

 3     N'%%  N'%% > ! # 
363!46>86#3>3
.#."#

,
Steps in LWR
H"%!J"K
%".%!O!P-=
%.#/.(-3#.J
+3(
\$+".!Q
&R(-SQ

-
'ET
'ET
'ET

Takes the average in parts and find the weight.
Efficiently classifies the data having different weights at different
points.
Example

O
.U(#!0!.4"U(#
<!=!E=:33"
V
@"!43
'84"G!##G!


.!.!!.6!#3
.!3!!
'8
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-03##!
@"63!!
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  #  = !# 
F4

(4
F#%H.%!!!
LWR Applica'ons
References
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Thank You !!!
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