Homework 1

Question 1

The detailed balance condition is a necessary condition for the Markov-Chain Monte-Carlo algorithm to converge.

Answer 1

False

Question 2

The stochastic update rule for the Hopfield network is different from the Metropolis algorithm.

Answer 2

True

Question 3

Not all local minima of the energy function of the Hopfield network correspond to stored patterns.

Answer 3

True

Question 4

In the limit of N→∞ the order parameter m_μ​​ can have more than one component of order unity, the other components are small.

Answer 4

True

Question 5

One feeds a distorted pattern into the network by applying Hebbs rule.

Answer 5

False

Question 6

In the limit of α→0 the one-step error probability for mixed states in the deterministic Hopfield network vanishes.

Answer 6

True