Questions tagged [bayes]

For questions related to Thomas Bayes, his work and extension of his work, theory and applications.

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6
votes
1answer
949 views

How does the Dempster-Shafer theory of evidence differ from the Bayesian reasoning under uncertainty?

Dempster–Shafer theory (wiki) Bayesian probability (wiki) How do these two methods handle uncertainty in regard to information fusion?
5
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0answers
146 views

What are the main benefits of using Bayesian networks?

I have some trouble understanding the benefits of Bayesian networks. Am I correct that the key benefit of the network is that one does not need to use chain rule of probability in order to calculate ...
4
votes
1answer
161 views

Bayes error rate formula clarification

My questions concern a particular formulation of the Bayes error rate from Wikipedia, summarized below. For a multiclass classifier, the Bayes error rate may be calculated as follows: $$p = 1 - \...
3
votes
1answer
86 views

Naive Bayes Algorithm error

In the attached image is the probability with the Naives Bayes algorithm of: Fem:dv/m/s Young own Ex-credpaid Good ->62% I calculated the Probability so: P(Fem:dv/m/s | Good)*P(Young | Good)...
2
votes
2answers
78 views

How do I combine two electromagnetic readings to predict the position of a sensor?

I have an electromagnetic sensor and electromagnetic field emitter. The sensor will read power from the emitter. I want to predict the position of the sensor using the reading. Let me simplify the ...
2
votes
0answers
39 views

My naive (ha!) Gaussian Naive Bayes classifier is too slow

I am trying to build a film review classifier where I determine if a given review is positive or negative (w/ Python). I'm trying to avoid any other ML libraries so that I can better understand the ...
1
vote
1answer
64 views

Understanding how to calculate $P(x|c_k)$ for the Bernoulli naïve Bayes classifier

I'm looking at the Bernoulli naïve Bayes classifier on Wikipedia and I understand Bayes theorem along with Gaussian naïve Bayes, however when looking at how $P(x|c_k)$ is calculated I don't understand ...
1
vote
3answers
92 views

Is it possible to compute $P( F \mid S )$ given $P(F \mid S,A)$, $P(F \mid S, \lnot A)$?

I have a bayesian network, which has the following data: $P(S) = 0.07$ $P(A) = 0.01$ $P(F \mid S,A) = 1.0$ $P(F \mid S, \lnot A) = 0.7$ $P(F \mid \lnot S, A) = 0.9$ $P(F \mid \lnot S, \lnot A) =...
1
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2answers
62 views

Can we derive the distribution of a random variable based on a dependent random variable's distribution?

In the diagram below, there are three variables: X3 is a function of (depends on) X1 and X2, ...
1
vote
1answer
36 views

How to perform structure learning for Bayes Net given already partially constructed net?

Let assume that we have dataset of variables (random events), I apriori would like to set dependency conditions between some of them and perform structure learning to figure out the rest of the net. ...
1
vote
0answers
20 views

How to use SLAM on other sensor other than camera?

I have a sensor that reads electromagnetic field strength from each position. And the field is stable and unique for each position. So the reading is simply a function of the position like this: <...
0
votes
1answer
47 views

Does the Bayesian MAP give a probability distribution over unseen t*?

I'm working my way through the Bayesian world. So far i've understood that the MLE or the MPA are point estimates, therefore using such models just output one specific value and not an distribution. ...