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what would be the best way to extract the entropy from the monte carlo simulations what would be the best way to obtain
is there any relationship between the probability distribution of the time taken for all trajectories to coalesce and
1 investigate the application of perfect sampling to linear regression in holmes and mallick 1998 or holmes and denison
how can you use a coin to create a random ranking of 3 people construct a solution that uses exact sampling for example
finding the partition function z of a probability distribution is a difficult problem many markov chain monte carlo
1 what do you think of the idea of using a variational method to optimize an approximating distribution q which we then
find the bayesian inference about the bias pa of the coin given the data and determine whether a bayesians inferences
two ordinary dice are thrown repeatedly the outcome of each throw is the sum of the two numbers joe shark who says that
the preceding exercise parts b and c involved a utility function based on regret if one married the tenth most
one of the challenges of decision theory is figuring out exactly what the utility function is the utility of money for
the four doors problema new game show uses rules similar to those of the three doors but there are four doors and the
in the bayesian graphical model community the task of inferring which way the arrows point - that is which nodes are
record breaking consider keeping track of the world record for some quantity x say earthquake magnitude or longjump
a pin is thrown tumbling in the air what is the probability distribution of the angle theta1 between the pin and the
1 implement the covariant ica algorithm and apply it to toy data2 create algorithms appropriate for the situations a x
four points are selected at random on the surface of a sphere what is the probability that all of them lie on a single
if the top row of pascals triangle which contains the single number lsquo1 is denoted row zero what is the sum of all
can a finite set of 2n distinct points in a two-dimensional space be split in half by a straight linebull if the points
consider the binary threshold neuron in k 3 dimensions and the set of points x 1 0 00 1 00 0 11 1 1 find a parameter
in this chapter we constrained all our hyperplanes to go through the origin in this exercise we remove this
what is the capacity of the axon of a spiking neuron viewed as a communication channel in bits per second see mackay
is the gaussian approximation to pw d alpha too heavy-tailed or too light-tailed or both it may help to consider pw d
how to measure a classifiers quality youve just written a new classification algorithm and want to measure how well it
eriks puzzle in a stripped-down version of conways game of life cells are arranged on a square grid each cell is either
implement this learning rule and investigate empirically its capacity for memorizing random patterns also compare its