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Keras API reference /
Optimizers /
Adam

`Adam`

class```
tf.keras.optimizers.Adam(
learning_rate=0.001,
beta_1=0.9,
beta_2=0.999,
epsilon=1e-07,
amsgrad=False,
name="Adam",
**kwargs
)
```

Optimizer that implements the Adam algorithm.

Adam optimization is a stochastic gradient descent method that is based on adaptive estimation of first-order and second-order moments.

According to
Kingma et al., 2014,
the method is "*computationally
efficient, has little memory requirement, invariant to diagonal rescaling of
gradients, and is well suited for problems that are large in terms of
data/parameters*".

**Arguments**

**learning_rate**: A`Tensor`

, floating point value, or a schedule that is a`tf.keras.optimizers.schedules.LearningRateSchedule`

, or a callable that takes no arguments and returns the actual value to use, The learning rate. Defaults to 0.001.**beta_1**: A float value or a constant float tensor, or a callable that takes no arguments and returns the actual value to use. The exponential decay rate for the 1st moment estimates. Defaults to 0.9.**beta_2**: A float value or a constant float tensor, or a callable that takes no arguments and returns the actual value to use, The exponential decay rate for the 2nd moment estimates. Defaults to 0.999.**epsilon**: A small constant for numerical stability. This epsilon is "epsilon hat" in the Kingma and Ba paper (in the formula just before Section 2.1), not the epsilon in Algorithm 1 of the paper. Defaults to 1e-7.**amsgrad**: Boolean. Whether to apply AMSGrad variant of this algorithm from the paper "On the Convergence of Adam and beyond". Defaults to`False`

.**name**: Optional name for the operations created when applying gradients. Defaults to`"Adam"`

.****kwargs**: keyword arguments. Allowed arguments are`clipvalue`

,`clipnorm`

,`global_clipnorm`

. If`clipvalue`

(float) is set, the gradient of each weight is clipped to be no higher than this value. If`clipnorm`

(float) is set, the gradient of each weight is individually clipped so that its norm is no higher than this value. If`global_clipnorm`

(float) is set the gradient of all weights is clipped so that their global norm is no higher than this value.

Usage:

```
>>> opt = tf.keras.optimizers.Adam(learning_rate=0.1)
>>> var1 = tf.Variable(10.0)
>>> loss = lambda: (var1 ** 2)/2.0 # d(loss)/d(var1) == var1
>>> step_count = opt.minimize(loss, [var1]).numpy()
>>> # The first step is `-learning_rate*sign(grad)`
>>> var1.numpy()
9.9
```

**Reference**

- Kingma et al., 2014
- Reddi et al., 2018 for
`amsgrad`

.

- Reddi et al., 2018 for

Notes:

The default value of 1e-7 for epsilon might not be a good default in general. For example, when training an Inception network on ImageNet a current good choice is 1.0 or 0.1. Note that since Adam uses the formulation just before Section 2.1 of the Kingma and Ba paper rather than the formulation in Algorithm 1, the "epsilon" referred to here is "epsilon hat" in the paper.

The sparse implementation of this algorithm (used when the gradient is an
IndexedSlices object, typically because of `tf.gather`

or an embedding
lookup in the forward pass) does apply momentum to variable slices even if
they were not used in the forward pass (meaning they have a gradient equal
to zero). Momentum decay (beta1) is also applied to the entire momentum
accumulator. This means that the sparse behavior is equivalent to the dense
behavior (in contrast to some momentum implementations which ignore momentum
unless a variable slice was actually used).