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Machine learning algorithms build a model of the training data. The term "machine learning" is vaguely defined; it includes what is also called statistical learning, reinforcement learning, unsupervised learning, etc. ALWAYS ADD A MORE SPECIFIC TAG.

2 votes
1 answer
375 views

MRF definition: not all cliques are required to have factors?

I'm reading the notes here. The formal definiton states A Markov Random Field (MRF) is a probability distribution $p$ over variables $x_1,\ldots,x_n$ defined by an undirected graph $G$ in which nodes …
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  • 697
2 votes
1 answer
171 views

Is my Gaussian Process implementation working correctly?

I'm using the standard kernel: $K(x_1, x_2) = \exp(-\frac{1}{2} (\frac{(x_1-x_2)}{l})^2)$, with $l=1.0$. I picked some arbitrary function, and then picked 15 points from which to learn from. Here's t …
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  • 697
6 votes
1 answer
9k views

Cross-entropy for comparing images

Suppose we have two greyscale images which are flattened to 1d arrays: $y=(y_1, y_2, \ldots, y_n)$ and $\hat{y} = (\hat{y}_1, \hat{y}_2, \ldots, \hat{y}_n)$ with pixel values in $[0,1]$. How exactly d …
theQman's user avatar
  • 697
8 votes
3 answers
312 views

Bias-variance: is it really a "trade-off"?

For some estimator $\hat{\theta}$, we have the "bias-variance trade-off": $MSE(\hat{\theta}) = bias^2(\hat{\theta}) + var(\hat{\theta}).$ When I think of a trade-off, I would expect that as the varia …
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  • 697