IsingStateProb

This function returns the likelihood of a single possible state. Is only tractible up to rougly 10 nodes.

Sample states from the Ising model and compute the probability of
states. Sampling can be done for any number of nodes, but due to the
intractability of the Ising model the distribution can only be computed up
to roughly 10 nodes. The Blume-Capel model, an Ising model with an
additional on-site quadratic (crystal-field) term, is also supported.

Sacha Epskamp

IsingSampler

Sampling Methods and Distribution Functions for the Ising Model

Jesse Boot

Adela Maria Isvoranu

IsingStateProb function

<dl> <dt>s</dt>
<dd>Vector contaning the state to evaluate.</dd> <dt>graph</dt>
<dd>Square matrix indicating the weights of the network. Must be symmetrical with 0 as diagonal.</dd> <dt>thresholds</dt>
<dd>Vector indicating the thresholds, also known as the external field.</dd> <dt>beta</dt>
<dd>Scalar indicating the inverse temperature.</dd> <dt>responses</dt>
<dd>Response options. Typically set to <code>c(-1L, 1L)</code> or <code>c(0L, 1L)</code> (default). Two or more numeric response options are supported, including non-integer values such as <code>seq(-1, 1, by = 0.5)</code>.</dd> <dt>delta</dt>
<dd>Optional per-node quadratic (Blume-Capel) term added to the Hamiltonian as <code>delta_i * s_i^2</code>; a single value (recycled over nodes) or one value per node. The default <code>0</code> corresponds to the ordinary Ising model. See <code>BlumeCapelSampler</code>.</dd></dl>

Arguments

Sacha Epskamp (mail@sachaepskamp.com)

Author

Likelihood of single state from tractible Ising model. — IsingStateProb

<dl>

 <dt>s</dt>
<dd>Vector contaning the state to evaluate.</dd>

 <dt>graph</dt>
<dd>Square matrix indicating the weights of the network. Must be symmetrical with 0 as diagonal.</dd>

 <dt>thresholds</dt>
<dd>Vector indicating the thresholds, also known as the external field.</dd>

 <dt>beta</dt>
<dd>Scalar indicating the inverse temperature.</dd>

 <dt>responses</dt>
<dd>Response options. Typically set to <code>c(-1L, 1L)</code> or <code>c(0L, 1L)</code> (default). Two or more numeric response options are supported, including non-integer values such as <code>seq(-1, 1, by = 0.5)</code>.</dd>

 <dt>delta</dt>
<dd>Optional per-node quadratic (Blume-Capel) term added to the Hamiltonian as <code>delta_i * s_i^2</code>; a single value (recycled over nodes) or one value per node. The default <code>0</code> corresponds to the ordinary Ising model. See <code>BlumeCapelSampler</code>.</dd>

</dl>

IsingStateProb: Likelihood of single state from tractible Ising model.

Description

Usage

Arguments

Author