Question: Assume we classify our points using a Bayesian optimal classifier, CB ( X ) , corresponding to the conditional class probability P ( Y =

Assume we classify our points using a Bayesian optimal classifier, CB(X), corresponding to the conditional class probability P(Y=1|X=x)=\sigma (3+x1+x2), where \sigma is the sigmoidal function \sigma (z)=e^z/(1+e^z). What is the number of false positives? Hint: A sigmoidal function takes the value 1/2 when its argument is 0.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Korea Advanced Institute of Science and Technology Department of Electrical Engineering & Computer Science EE531 Statistical Learning Theory, Spring 2016 Assignment I Issued: Mar. 19, 2016 Due: Apr....

Q:

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Q:

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Q:

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Q:

Hi, math experts. I am recently learning from Pattern Recognition and Machine Learning, Chris Bishop. Please provide a detailed explainations briefly for the following sections. 1. Section 1.2.2...

Q:

CS 7641 CSE/ISYE 6740 Homework 3 Le Song Deadline: 11/07 Mon, 11:55pm Submit your answers as an electronic copy on T-square. No unapproved extension of deadline is allowed. Zero credit will be...

Q:

ion: Consider the following rules " If one is drunk or sick then he/she is not sober. Further, assume the following facts concerning the respective people: "Tony is sober" "Tom is not sober" "Esther...

Q:

1.The makers of an exercise device advertise that using their machine a few minutes per day results in an average weight loss of 4 kilograms during the first month. A consumer group believes the...

Q:

Effect of Constraints on Optimal Solutions A key result that optimal classifiers pick the most probable class, which defines Bayes optimality. One of the consequences is that optimal decisions are...

Q:

CSCI 5525 MACHINE LEARNING, Fall 2017, Prof Schrater Homework 1 September 27, 2017 1. For data (x, y) with a joint distribution p(x, y) = p(y|x)p(x), the expected loss of a function f (x) to model y...

Q:

Is a retailer's desire to build up its private-label brands an inevitable source of channel conflict? Explain your answer.

Q:

Below are the statements of financial position of P Ltd and S Ltd as at 31 December 2010: OP Ltd bought 80% shares in S Ltd in 2010 S Ltd purchases all its inventory from P Ltd at a gross profit...

Q:

Item 1 2 . 3 3 points ItemSkipped eBookHint Print References Check my workCheck My Work button is now enabled Item 1 On June 3 0 , 2 0 2 4 , Georgia - Atlantic, Incorporated leased warehouse...

Q:

Seved Help 14 Wisconsin Snowmobile Corp. is considering a switch to level production Cost efficiencies would occur under level production, and aftertax costs would decline by $31,500, but inventory...

Q:

Economist John Taylor has suggested that the Fed use the following rule for choosing its target for the federal funds interest rate (r): r = 2% + + 12 (y y*) / y* + 12 ( *), where is the average...

Q:

Suppose banks install automatic teller machines on every block and, by making cash readily available, reduce the amount of money people want to hold. a. Assume the Fed does not change the money...

Q:

Consider two policiesa tax cut that will last for only 1 year and a tax cut that is expected to be permanent. Which policy will stimulate greater spending by consumers? Which policy will have the...