Given sample from random distribution , show that the critical point for the likelihood function found in class is indeed a global maximum.
Assignment 3
(ipynb) Explore the data (or try to find real data from somewhere) and find a way to see the data such that it has a two-dimensional curve-like structure.
You should
Specify and describe properly your data
Explain how the data is obtained and extracted
In particular, you should make sure the explanation is clear enough so that the graph and data can be reproduced by the coursemate
(PDF) For binary classification problem, consider the cost function as mean square error and derive the corresponding gradient descent rule.
(PDF) Consider the cross entropy loss for classification problem of classes where the feature is data. Derive the corresponding gradient descent rule.
Remark: , , .
Assignment 4
Show that 𝕕 where is a symmetric positive definite matrix.
Let that satisfies for all . Show that is convex.
Assignment 5
Find a function such that is a critical point, i.e., , besides, and , but does not attain a local maximum at .