IsingEntropy

IsingEntrophy

Returns (marginal/conditional) Shannon entropy of the Ising model.

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

IsingEntropy function

<dl> <dt>graph</dt>
<dd>Weights matrix</dd> <dt>thresholds</dt>
<dd>Thresholds vector</dd> <dt>beta</dt>
<dd>Inverse temperature</dd> <dt>conditional</dt>
<dd>Indices of nodes to condition on</dd> <dt>marginalize</dt>
<dd>Indices of nodes to marginalize over</dd> <dt>base</dt>
<dd>Base of the logarithm</dd> <dt>responses</dt>
<dd>Vector of outcome responses.</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 &lt;mail@sachaepskamp.com&gt;

Author

Entropy of the Ising Model — IsingEntropy

<dl>

 <dt>graph</dt>
<dd>Weights matrix</dd>

 <dt>thresholds</dt>
<dd>Thresholds vector</dd>

 <dt>beta</dt>
<dd>Inverse temperature</dd>

 <dt>conditional</dt>
<dd>Indices of nodes to condition on</dd>

 <dt>marginalize</dt>
<dd>Indices of nodes to marginalize over</dd>

 <dt>base</dt>
<dd>Base of the logarithm</dd>

 <dt>responses</dt>
<dd>Vector of outcome responses.</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>

IsingEntropy: Entropy of the Ising Model

Description

Usage

Arguments

Author