netket.sampler.MetropolisSamplerNumpy

class netket.sampler.MetropolisSamplerNumpy(hilbert, rule, *, n_sweeps=None, reset_chain=False, **kwargs)[source]

Bases: netket.sampler.metropolis.MetropolisSampler

Metropolis-Hastings sampler for an Hilbert space according to a specific transition rule executed on CPU through Numpy.

This sampler is equivalent to netket.sampler.MetropolisSampler but instead of executing the whole sampling inside a jax-jitted function, only evaluates the forward pass inside a jax-jitted function, while proposing new steps and accepting/rejecting them is performed in numpy.

Because of Jax dispatch cost, and especially for small system, this sampler performs poorly, while asyntotically it should have the same performance of standard Jax samplers.

However, some transition rules don’t work on GPU, and some samplers (Hamiltonian) work very poorly on jax so this is a good workaround.

See netket.sampler.MetropolisSampler for more informations.

__init__(hilbert, rule, *, n_sweeps=None, reset_chain=False, **kwargs)

Constructs a Metropolis Sampler.

Parameters

  • hilbert (AbstractHilbert) – The hilbert space to sample

  • rule (MetropolisRule) – A MetropolisRule to generate random transitions from a given state as well as uniform random states.

  • n_sweeps (Optional[int]) – The number of exchanges that compose a single sweep. If None, sweep_size is equal to the number of degrees of freedom being sampled (the size of the input vector s to the machine).

  • reset_chain (bool) – If False the state configuration is not resetted when reset() is called.

  • n_chains – The number of Markov Chain to be run in parallel on a single process.

  • n_chains – The number of batches of the states to sample (default = 8)

  • machine_pow – The power to which the machine should be exponentiated to generate the pdf (default = 2).

  • dtype – The dtype of the statees sampled (default = np.float32).

Attributes
machine_pow: int = 2

Exponent of the pdf sampled

n_batches

The batch size of the configuration $sigma$ used by this sampler.

In general, it is equivalent to n_chains.

Return type

int

n_chains: int = 16

Number of batches along the chain

n_sweeps: int = 0

Number of sweeps for each step along the chain. Defaults to number of sites in hilbert space.

reset_chain: bool = False

If True resets the chain state when reset is called (every new sampling).

rule: netket.sampler.metropolis.MetropolisRule = None

The metropolis transition rule.

Methods
init_state(machine, parameters, seed=None)

Creates the structure holding the state of the sampler.

If you want reproducible samples, you should specify seed, otherwise the state will be initialised randomly.

If running across several MPI processes, all sampler_states are guaranteed to be in a different (but deterministic) state. This is achieved by first reducing (summing) the seed provided to every MPI rank, then generating n_rank seeds starting from the reduced one, and every rank is initialized with one of those seeds.

The resulting state is guaranteed to be a frozen python dataclass (in particular, a flax’s dataclass), and it can be serialized using Flax serialization methods.

Parameters

  • machine (Union[Callable, Module]) – a Flax module or callable with the forward pass of the log-pdf.

  • parameters (Any) – The PyTree of parameters of the model.

  • seed (Union[int, Any, None]) – An optional seed or jax PRNGKey. If not specified, a random seed will be used.

Return type

SamplerState

Returns

The structure holding the state of the sampler. In general you should not expect it to be in a valid state, and should reset it before use.

log_pdf(model)

Returns a closure with the log_pdf function encoded by this sampler.

Note: the result is returned as an HashablePartial so that the closure does not trigger recompilation.

Parameters

model (Union[Callable, Module]) – The machine, or apply_fun

Return type

Callable

Returns

the log probability density function

replace(**updates)

“Returns a new object replacing the specified fields with new values.

reset(machine, parameters, state=None)

Resets the state of the sampler. To be used every time the parameters are changed.

Parameters

  • machine (Union[Callable, Module]) – a Flax module or callable with the forward pass of the log-pdf.

  • parameters (Any) – The PyTree of parameters of the model.

  • state (Optional[SamplerState]) – The current state of the sampler. If it’s not provided, it will be constructed by calling sampler.init_state(machine, parameters) with a random seed.

Return type

SamplerState

Returns

A valid sampler state.

sample(machine, parameters, *, state=None, chain_length=1)

Samples chain_length elements along the chains.

Parameters

  • sampler – The Monte Carlo sampler.

  • machine (Union[Callable, Module]) – The model or callable to sample from (if it’s a function it should have the signature f(parameters, σ) -> jnp.ndarray).

  • parameters (Any) – The PyTree of parameters of the model.

  • state (Optional[SamplerState]) – current state of the sampler. If None, then initialises it.

  • chain_length (int) – (default=1), the length of the chains.

Returns

The new state of the sampler σ: The next batch of samples.

Return type

state

sample_next(machine, parameters, state=None)

Samples the next state in the markov chain.

Parameters

  • machine (Union[Callable, Module]) – a Flax module or callable apply function with the forward pass of the log-pdf.

  • parameters (Any) – The PyTree of parameters of the model.

  • state (Optional[SamplerState]) – The current state of the sampler. If it’s not provided, it will be constructed by calling sampler.reset(machine, parameters) with a random seed.

Returns

The new state of the sampler σ: The next batch of samples.

Return type

state