IsingLikelihood

This function returns the likelihood of all possible states. 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

IsingLikelihood function

<dl> <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>potential</dt>
<dd>Logical, return the potential instead of the probability of each state?</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

Author

Likelihood of all states from tractible Ising model. — IsingLikelihood

<dl>

 <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>potential</dt>
<dd>Logical, return the potential instead of the probability of each state?</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>

IsingLikelihood: Likelihood of all states from tractible Ising model.

Description

Usage

Arguments

Author