Does Adam have weight decay?

Optimal weight decay is a function (among other things) of the **total number of batch passes/weight updates**. Our empirical analysis of Adam suggests that the longer the runtime/number of batch passes to be performed, the smaller the optimal weight decay.

Is AdamW always better than Adam?

In Figure 4, they show the training results on CIFAR-10 and ImageNet32x32. In the experiment, AdamW not only yielded better training loss, but also **had better generalization performance than Adam**, and competitive w.r.t SGDW.

Should I use Adam and AdamW?

The authors show experimentally that **AdamW yields better training loss** and that the models generalize much better than models trained with Adam allowing the new version to compete with stochastic gradient descent with momentum.

## Related Question Does Adam weight decompose?

### Is Adam faster than SGD?

Adam is great, it's much faster than SGD, the default hyperparameters usually works fine, but it has its own pitfall too. Many accused Adam has convergence problems that often SGD + momentum can converge better with longer training time. We often see a lot of papers in 2018 and 2019 were still using SGD.

### Which is better Adam or SGD?

So SGD is more locally unstable than ADAM at sharp minima defined as the minima whose local basins have small Radon measure, and can better escape from them to flatter ones with larger Radon measure. These algorithms, especially for ADAM, have achieved much faster convergence speed than vanilla SGD in practice.

### What is difference between SGD and Adam?

Adam vs SGD

SGD is a variant of gradient descent. Instead of performing computations on the whole dataset — which is redundant and inefficient — SGD only computes on a small subset or random selection of data examples. Essentially Adam is an algorithm for gradient-based optimization of stochastic objective functions.

### Is Adam the best optimizer?

Adam is the best among the adaptive optimizers in most of the cases. Good with sparse data: the adaptive learning rate is perfect for this type of datasets.

### What is a good value for weight decay?

The most common type of regularization is L2, also called simply “weight decay,” with values often on a logarithmic scale between 0 and 0.1, such as 0.1, 0.001, 0.0001, etc. Reasonable values of lambda [regularization hyperparameter] range between 0 and 0.1.

### Is weight decay same as L2 regularization?

L2 regularization is often referred to as weight decay since it makes the weights smaller. It is also known as Ridge regression and it is a technique where the sum of squared parameters, or weights of a model (multiplied by some coefficient) is added into the loss function as a penalty term to be minimized.

### Why Adam optimizer is the best?

Adam combines the best properties of the AdaGrad and RMSProp algorithms to provide an optimization algorithm that can handle sparse gradients on noisy problems. Adam is relatively easy to configure where the default configuration parameters do well on most problems.

### Does Adam have momentum?

Adam uses Momentum and Adaptive Learning Rates to converge faster.

### What is weight decay in Adam Optimizer?

Weight decay is a regularization technique by adding a small penalty, usually the L2 norm of the weights (all the weights of the model), to the loss function. loss = loss + weight decay parameter * L2 norm of the weights. Some people prefer to only apply weight decay to the weights and not the bias.

### What is RMSProp?

Root Mean Squared Propagation, or RMSProp, is an extension of gradient descent and the AdaGrad version of gradient descent that uses a decaying average of partial gradients in the adaptation of the step size for each parameter.

### Which Optimizer is best in deep learning?

Adam is the best optimizers. If one wants to train the neural network in less time and more efficiently than Adam is the optimizer. For sparse data use the optimizers with dynamic learning rate.

### What will happen after initializing all weights to zero?

Initializing all the weights with zeros leads the neurons to learn the same features during training. Thus, both neurons will evolve symmetrically throughout training, effectively preventing different neurons from learning different things.

### What is weight decay in CNN?

Weight Decay, or Regularization, is a regularization technique applied to the weights of a neural network. We minimize a loss function compromising both the primary loss function and a penalty on the Norm of the weights: L n e w ( w ) = L o r i g i n a l ( w ) + λ w T w.

### Why is L2 weight decay?

L2 regularization does this by theoretically adding a term to the underlying error function. The term penalizes weight values. Larger weights produce larger error during training. So, L2 regularization reduces the magnitudes of neural network weights during training and so does weight decay.

### Why does regularization reduce overfitting?

Regularization comes into play and shrinks the learned estimates towards zero. In other words, it tunes the loss function by adding a penalty term, that prevents excessive fluctuation of the coefficients. Thereby, reducing the chances of overfitting.

### What does regularization do to the weights?

Regularization refers to the act of modifying a learning algorithm to favor “simpler” prediction rules to avoid overfitting. Most commonly, regularization refers to modifying the loss function to penalize certain values of the weights you are learning. Specifically, penalize weights that are large.

### When should you use L1 regularization over L2 regularization?

From a practical standpoint, L1 tends to shrink coefficients to zero whereas L2 tends to shrink coefficients evenly. L1 is therefore useful for feature selection, as we can drop any variables associated with coefficients that go to zero. L2, on the other hand, is useful when you have collinear/codependent features.

### How does weight decay affect neural network?

Weight decay works by adding a penalty term to the cost function of a neural network which has the effect of shrinking the weights during backpropagation. This helps prevent the network from overfitting the training data as well as the exploding gradient problem.

### Why does SGD converge faster?

Also, on massive datasets, stochastic gradient descent can converges faster because it performs updates more frequently. Also, the stochastic nature of online/minibatch training takes advantage of vectorised operations and processes the mini-batch all at once instead of training on single data points.

### What is Adam Optimizer stack overflow?

AdamOptimizer is using the Adam Optimizer to update the learning rate. Its is an adaptive method compared to the gradient descent which maintains a single learning rate for all weight updates and the learning rate does not change.

### What is vanilla gradient descent?

Vanilla gradient descent means the basic gradient descent algorithm without any bells or whistles. There are many variants on gradient descent. In usual gradient descent (also known as batch gradient descent or vanilla gradient descent), the gradient is computed as the average of the gradient of each datapoint.

### Which algorithms use gradient descent?

Common examples of algorithms with coefficients that can be optimized using gradient descent are Linear Regression and Logistic Regression.

### What is the gradient descent update rule?

The basic equation that describes the update rule of gradient descent is. From this vector, we subtract the gradient of the loss function with respect to the weights multiplied by alpha, the learning rate. The gradient is a vector which gives us the direction in which loss function has the steepest ascent.