torchrecurrent.AntisymmetricRNNCell

class torchrecurrent.AntisymmetricRNNCell(input_size, hidden_size, bias=True, activation_fn=<built-in method tanh of type object>, kernel_init=<function xavier_uniform_>, recurrent_kernel_init=<function normal_>, bias_init=<function zeros_>, recurrent_bias_init=<function zeros_>, epsilon=1.0, gamma=0.0, device=None, dtype=None)

An Antisymmetric recurrent neural network (RNN) cell.

This cell implements the update rule from “AntisymmetricRNN: A Dynamical System View on Recurrent Neural Networks” <https://arxiv.org/abs/1902.09689>_.

\[\mathbf{h}(t) = \mathbf{h}(t-1) + \epsilon \cdot \tanh\Bigl( \mathbf{W}_{ih}\,\mathbf{x}(t) + \mathbf{b}_{ih} + \bigl(\mathbf{W}_{hh} - \mathbf{W}_{hh}^\top - \gamma\,\mathbf{I}\bigr)\,\mathbf{h}(t-1) + \mathbf{b}_{hh}\Bigr)\]

where \(\epsilon\) (epsilon) controls the step size, and \(\gamma\) (gamma) is a stability factor.

Parameters:

input_size (int) – Number of expected features in the input inp.
hidden_size (int) – Number of features in the hidden state.
bias (bool) – If False, the layer does not use bias weights. Default: True.
activation_fn (Callable) – Activation function (default: torch.tanh).
kernel_init (Callable) – Initializer for input‐to‐hidden weights (default: nn.init.xavier_uniform_).
recurrent_kernel_init (Callable) – Initializer for hidden‐to‐hidden weights (default: nn.init.normal_).
bias_init (Callable) – Initializer for input bias (default: nn.init.zeros_).
recurrent_bias_init (Callable) – Initializer for hidden bias (default: nn.init.zeros_).
epsilon (float) – Step‐size multiplier for the update. Default: 1.0.
gamma (float) – Damping term subtracted along the diagonal for stability. Default: 0.0.
device (torch.device, optional) – Device for weights.
dtype (torch.dtype, optional) – Data type for weights.

Inputs:

inp (Tensor):
shape (batch, input_size) or (input_size,)
state (Tensor or Tuple[Tensor, …], optional):
Previous hidden state of shape (batch, hidden_size) or (hidden_size,). If not provided, initialized to zeros.

Outputs:

new_state (Tensor):
Next hidden state of shape (batch, hidden_size) or (hidden_size,).

weight_ih

Learnable input‐to‐hidden weights, shape (hidden_size, input_size).

Type:: Tensor

weight_hh

Learnable hidden‐to‐hidden weights, shape (hidden_size, hidden_size).

Type:: Tensor

bias_ih

Learnable input bias, shape (hidden_size,).

Type:: Tensor

bias_hh

Learnable hidden bias, shape (hidden_size,).

Type:: Tensor

Note

This cell enforces antisymmetry by subtracting the transpose of the recurrent weight matrix and a scaled identity term.

Examples::

>>> cell = AntisymmetricRNNCell(10, 20, epsilon=0.5, gamma=0.1)
>>> x = torch.randn(5, 10)   # batch=5, input_size=10
>>> h0 = torch.zeros(5, 20)  # batch=5, hidden_size=20
>>> h1 = cell(x, h0)

__init__(input_size, hidden_size, bias=True, activation_fn=<built-in method tanh of type object>, kernel_init=<function xavier_uniform_>, recurrent_kernel_init=<function normal_>, bias_init=<function zeros_>, recurrent_bias_init=<function zeros_>, epsilon=1.0, gamma=0.0, device=None, dtype=None)

Initialize internal Module state, shared by both nn.Module and ScriptModule.

Parameters:

input_size (int)
hidden_size (int)
bias (bool)
activation_fn (Callable)
kernel_init (Callable)
recurrent_kernel_init (Callable)
bias_init (Callable)
recurrent_bias_init (Callable)
epsilon (float)
gamma (float)
device (device | None)
dtype (dtype | None)

Methods

`__init__`(input_size, hidden_size[, bias, ...])	Initialize internal Module state, shared by both nn.Module and ScriptModule.
`add_module`(name, module)	Add a child module to the current module.
`apply`(fn)	Apply `fn` recursively to every submodule (as returned by `.children()`) as well as self.
`bfloat16`()	Casts all floating point parameters and buffers to `bfloat16` datatype.
`buffers`([recurse])	Return an iterator over module buffers.
`children`()	Return an iterator over immediate children modules.
`compile`(args, *kwargs)	Compile this Module's forward using `torch.compile()`.
`cpu`()	Move all model parameters and buffers to the CPU.
`cuda`([device])	Move all model parameters and buffers to the GPU.
`double`()	Casts all floating point parameters and buffers to `double` datatype.
`eval`()	Set the module in evaluation mode.
`extra_repr`()	Return the extra representation of the module.
`float`()	Casts all floating point parameters and buffers to `float` datatype.
`forward`(inp[, state])	Run one step of the recurrent cell.
`get_buffer`(target)	Return the buffer given by `target` if it exists, otherwise throw an error.
`get_extra_state`()	Return any extra state to include in the module's state_dict.
`get_parameter`(target)	Return the parameter given by `target` if it exists, otherwise throw an error.
`get_submodule`(target)	Return the submodule given by `target` if it exists, otherwise throw an error.
`half`()	Casts all floating point parameters and buffers to `half` datatype.
`init_weights`()
`ipu`([device])	Move all model parameters and buffers to the IPU.
`load_state_dict`(state_dict[, strict, assign])	Copy parameters and buffers from `state_dict` into this module and its descendants.
`modules`()	Return an iterator over all modules in the network.
`mtia`([device])	Move all model parameters and buffers to the MTIA.
`named_buffers`([prefix, recurse, ...])	Return an iterator over module buffers, yielding both the name of the buffer as well as the buffer itself.
`named_children`()	Return an iterator over immediate children modules, yielding both the name of the module as well as the module itself.
`named_modules`([memo, prefix, remove_duplicate])	Return an iterator over all modules in the network, yielding both the name of the module as well as the module itself.
`named_parameters`([prefix, recurse, ...])	Return an iterator over module parameters, yielding both the name of the parameter as well as the parameter itself.
`parameters`([recurse])	Return an iterator over module parameters.
`register_backward_hook`(hook)	Register a backward hook on the module.
`register_buffer`(name, tensor[, persistent])	Add a buffer to the module.
`register_forward_hook`(hook, *[, prepend, ...])	Register a forward hook on the module.
`register_forward_pre_hook`(hook, *[, ...])	Register a forward pre-hook on the module.
`register_full_backward_hook`(hook[, prepend])	Register a backward hook on the module.
`register_full_backward_pre_hook`(hook[, prepend])	Register a backward pre-hook on the module.
`register_load_state_dict_post_hook`(hook)	Register a post-hook to be run after module's `load_state_dict()` is called.
`register_load_state_dict_pre_hook`(hook)	Register a pre-hook to be run before module's `load_state_dict()` is called.
`register_module`(name, module)	Alias for `add_module()`.
`register_parameter`(name, param)	Add a parameter to the module.
`register_state_dict_post_hook`(hook)	Register a post-hook for the `state_dict()` method.
`register_state_dict_pre_hook`(hook)	Register a pre-hook for the `state_dict()` method.
`requires_grad_`([requires_grad])	Change if autograd should record operations on parameters in this module.
`set_extra_state`(state)	Set extra state contained in the loaded state_dict.
`set_submodule`(target, module[, strict])	Set the submodule given by `target` if it exists, otherwise throw an error.
`share_memory`()	See `torch.Tensor.share_memory_()`.
`state_dict`(*args[, destination, prefix, ...])	Return a dictionary containing references to the whole state of the module.
`to`(args, *kwargs)	Move and/or cast the parameters and buffers.
`to_empty`(*, device[, recurse])	Move the parameters and buffers to the specified device without copying storage.
`train`([mode])	Set the module in training mode.
`type`(dst_type)	Casts all parameters and buffers to `dst_type`.
`uses_double_state`()	Return True if forward returns (h, c), else just h.
`xpu`([device])	Move all model parameters and buffers to the XPU.
`zero_grad`([set_to_none])	Reset gradients of all model parameters.

Attributes

`T_destination`
`call_super_init`
`dump_patches`
`weight_ih`
`weight_hh`
`bias_ih`
`bias_hh`
`training`