Questions tagged [bayes-theorem]

For questions related to Bayes' theorem (or rule) used in the AI context.

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Bayesian Perceptron: How is it compatible to Bayes Theorem?

I found a very interesting paper on the internet that tries to apply Bayesian inference with a gradient-free online-learning approach: [Bayesian Perceptron: Bayesian Perceptron: Towards fully Bayesian ...
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63 views

Bayesian Perceptron: Why to marginalize over neuron's output instead of it's weights?

I found a very interesting paper on the internet that tries to apply Bayesian inference with a gradient-free online-learning approach: Bayesian Perceptron: Towards fully Bayesian Neural Networks. I ...
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1answer
78 views

What's the likelihood in Bayesian Neural Networks?

I'm trying to understand the concept behind BNN. Their are based on the Bayes Theorem: $$p(w \mid \text{data}) = \frac{p(\text{data} \mid w)*p(w)}{p(\text{data})}$$ which boils down to $$\text{...
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Where can we use the Bayes' theorem in artificial intelligence?

Th Bayes' rule specifies how an agent should update its belief in a proposition based on a new piece of evidence. Suppose an agent has a current belief in proposition $h$ based on evidence $k$ already ...
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120 views

What is Bayes' theorem?

What is Bayes' theorem? How does it relate to conditional probabilities?
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1answer
473 views

Why is the denominator ignored in the Bayes' rule?

The naïve Bayes' generative algorithm is often represented by the following formula: $$\text{argmax}_{y} p(y|x) = \text{argmax}_y \frac{p(x|y)p(y)}{p(x)} \approx \text{argmax}_y p(x|y)p(y)$$ Why do we ...
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3answers
9k views

How is Bayes' Theorem used in artificial intelligence and machine learning?

How is Bayes' Theorem used in artificial intelligence and machine learning? As a high school student, I will be writing an essay about it, and I want to be able to explain Bayes' Theorem, its general ...