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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 …
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 …
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 …
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 …