Questions tagged [bayes]

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

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1answer
648 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?
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0answers
83 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 ...
3
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1answer
68 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
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1answer
83 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
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3answers
433 views

Heuristic function for BayesChess

I am reading BayesChess: A computer chess program based on Bayesian networks (Fernandez, Salmeron; 2008) It is a chess playing engine using Bayesian networks. The following is mentioned about ...
2
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2answers
63 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
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0answers
36 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 ...
2
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1answer
62 views

Why is Information Filter called Information Filter?

We all know Information Filter is a dual representation of Kalman Filter. The main difference between Information Filter and Kalman Filter is the way the Gaussian belief is represented. In Kalman ...
1
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1answer
60 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
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3answers
89 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) =...
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2answers
59 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, ...
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1answer
32 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. ...
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0answers
15 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: <...
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0answers
24 views

Is Bayesian NN vs adding random data more accurate?

I’m trying to train a classifier to recognize if people are wearing seatbelts. What if the person submitted a picture unrelated to a seatbelt classifier? Would I create an image label that is full of ...