Edited, memorised or added to reading list

on 21-Oct-2020 (Wed)

Do you want BuboFlash to help you learning these things? Click here to log in or create user.

#MLBook #expectation #expected-value #machine-learning #statistics

Let a discrete random variable \(X\) have \(k\) possible values \(\{ x_i \}_{i=1}^k\). The expectation of \(X\) denoted as \(\mathbb E[X]\) is given by,

\(\begin{align} \mathbb E[X] & \stackrel{\textrm{def}}{=} \sum_{i=1}^k \left[ x_i \cdot \textrm{Pr} \left( X = x_i \right) \right] \\ & = x_1 \cdot \textrm{Pr} \left( X = x_1 \right) + x_2 \cdot \textrm{Pr} \left( X = x_2 \right) + \cdots + x_k \cdot \textrm{Pr} \left( X = x_k \right) \end{align}\)

where \(\textrm{Pr} \left( X = x_i \right)\) is the probability that \(X\) has the value \(x_i\) according to the pmf. The expectation of a random variable is also called the mean, average or expected value and is frequently denoted with the letter \(\mu\) . The expectation is one of the most important statistics of a random variable.

statusnot read reprioritisations
last reprioritisation on reading queue position [%]
started reading on finished reading on

pdf

cannot see any pdfs




[unknown IMAGE 5969687481612] #dynamics #engineering-problems #has-images #numerical-accuracy #statics #vector-mechanics
statusnot read reprioritisations
last reprioritisation on reading queue position [%]
started reading on finished reading on

pdf

cannot see any pdfs




[unknown IMAGE 5969691675916] #calculations #dynamics #engineering-mechanics #has-images #statics
statusnot read reprioritisations
last reprioritisation on reading queue position [%]
started reading on finished reading on

pdf

cannot see any pdfs




[unknown IMAGE 5998195117324] #MLBook #has-images #logistic-regression #machine-learning #neural-network #unit
statusnot read reprioritisations
last reprioritisation on reading queue position [%]
started reading on finished reading on

pdf

cannot see any pdfs




#MLBook #epocs #gradient-descent #has-images #machine-learning
statusnot read reprioritisations
last reprioritisation on reading queue position [%]
started reading on finished reading on

pdf

cannot see any pdfs