Logistic regression aims to train the parameters from the training set D = {(x(i),y(i)), i 1, 2,..., m, y € {0,1}} so that the hypothesis function h(x) = g(¹ x) = (here g(z) is the logistic or sigmod function g(z) : = ) can predict the probability of a 1 1+ e-z new instance x being labeled as 1. Please derive the following stochastic gradient ascent update rule for a logistic regression problem. 0₁ = 0; + α(y(¹) — hq (x(i)))x;") -

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Logistic regression aims to train the parameters from the training set D =
{(x(i),y(i)), i
1,2,...,m, y ¤ {0,1}} so that the hypothesis function h(x)
=
g(0¹ x)
1
(here g(z) is the logistic or sigmod function g(z)
can predict the probability of a
1+ e-z
new instance x being labeled as 1. Please derive the following stochastic gradient ascent
update rule for a logistic regression problem.
0j = 0j + a(y(¹) — hz(x)))x;
ave.
=
Transcribed Image Text:Logistic regression aims to train the parameters from the training set D = {(x(i),y(i)), i 1,2,...,m, y ¤ {0,1}} so that the hypothesis function h(x) = g(0¹ x) 1 (here g(z) is the logistic or sigmod function g(z) can predict the probability of a 1+ e-z new instance x being labeled as 1. Please derive the following stochastic gradient ascent update rule for a logistic regression problem. 0j = 0j + a(y(¹) — hz(x)))x; ave. =
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