mindspore.ops.ApplyCenteredRMSProp

class mindspore.ops.ApplyCenteredRMSProp(*args, **kwargs)[source]

Optimizer that implements the centered RMSProp algorithm. Please refer to the usage in source code of nn.RMSProp.

The updating formulas of ApplyCenteredRMSProp algorithm are as follows,

\[\begin{split}\begin{array}{ll} \\ g_{t+1} = \rho g_{t} + (1 - \rho)\nabla Q_{i}(w) \\ s_{t+1} = \rho s_{t} + (1 - \rho)(\nabla Q_{i}(w))^2 \\ m_{t+1} = \beta m_{t} + \frac{\eta} {\sqrt{s_{t+1} - g_{t+1}^2 + \epsilon}} \nabla Q_{i}(w) \\ w = w - m_{t+1} \end{array}\end{split}\]

where \(w\) represents var, which will be updated. \(g_{t+1}\) represents mean_gradient, \(g_{t}\) is the last momentent of \(g_{t+1}\). \(s_{t+1}\) represents mean_square, \(s_{t}\) is the last momentent of \(s_{t+1}\), \(m_{t+1}\) represents moment, \(m_{t}\) is the last momentent of \(m_{t+1}\). \(\rho\) represents decay. \(\beta\) is the momentum term, represents momentum. \(\epsilon\) is a smoothing term to avoid division by zero, represents epsilon. \(\eta\) represents learning_rate. \(\nabla Q_{i}(w)\) represents grad.

Parameters

use_locking (bool) – Whether to enable a lock to protect the variable and accumlation tensors from being updated. Default: False.

Inputs:

  • var (Tensor) - Weights to be update.

  • mean_gradient (Tensor) - Mean gradients, must have the same type as var.

  • mean_square (Tensor) - Mean square gradients, must have the same type as var.

  • moment (Tensor) - Delta of var, must have the same type as var.

  • grad (Tensor) - Gradient, must have the same type as var.

  • learning_rate (Union[Number, Tensor]) - Learning rate. Must be a float number or a scalar tensor with float16 or float32 data type.

  • decay (float) - Decay rate.

  • momentum (float) - Momentum.

  • epsilon (float) - Ridge term.

Outputs:

Tensor, parameters to be update.

Raises

  • TypeError – If use_locking is not a bool.

  • TypeError – If var, mean_gradient, mean_square, moment or grad is not a Tensor.

  • TypeError – If learing_rate is neither a Number nor a Tensor.

  • TypeError – If dtype of learing_rate is neither float16 nor float32.

  • TypeError – If dtype of decay, momentum or epsilon is not float.

Supported Platforms:

Ascend GPU CPU

Examples

>>> import numpy as np
>>> import mindspore.ops as ops
>>> import mindspore.nn as nn
>>> from mindspore import Tensor
>>> from mindspore import Parameter
>>> class Net(nn.Cell):
...     def __init__(self):
...         super(Net, self).__init__()
...         self.apply_centerd_rms_prop = ops.ApplyCenteredRMSProp()
...         self.var = Parameter(Tensor(np.ones([2, 2]).astype(np.float32)), name="var")
...
...     def construct(self, mean_grad, mean_square, moment, grad, decay, momentum, epsilon, lr):
...         out = self.apply_centerd_rms_prop(self.var, mean_grad, mean_square, moment, grad,
...                                           lr, decay, momentum, epsilon)
...         return out
...
>>> net = Net()
>>> mean_grad = Tensor(np.ones([2, 2]).astype(np.float32))
>>> mean_square = Tensor(np.ones([2, 2]).astype(np.float32))
>>> moment = Tensor(np.ones([2, 2]).astype(np.float32))
>>> grad = Tensor(np.ones([2, 2]).astype(np.float32))
>>> output = net(mean_grad, mean_square, moment, grad, 0.0, 1e-10, 0.001, 0.01)
>>> print(net.var.asnumpy())
[[0.68377227  0.68377227]
 [0.68377227  0.68377227]]