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9 votes
Accepted

Can someone explain R1 regularization function in simple terms?

Here is how I understand this regularization (updated). $R_1$ is simply the norm of the gradients w.r.t. to the real data (gradients indicate the direction and magnitude by which the weight should be ...
Aray Karjauv's user avatar
9 votes
Accepted

What is "early stopping" in machine learning?

In some iterative learning methods the more iterations you apply the more specific your model becomes about the training set. If there are too many iterations, your model will become too specifically ...
Didami's user avatar
  • 391
7 votes
Accepted

Why is dropout favoured compared to reducing the number of units in hidden layers?

Dropout only ignores a portion of units during a single training batch update. Each training batch will use a different combination of units which gives them the best chance of that portion of them ...
user1269942's user avatar
5 votes
Accepted

Why L2 loss is more commonly used in Neural Networks than other loss functions?

I'll cover both L2 regularized loss, as well as Mean-Squared Error (MSE): MSE: L2 loss is continuously-differentiable across any domain, unlike L1 loss. This makes training more stable and allows ...
Ryan S's user avatar
  • 191
5 votes
Accepted

What is the $\ell_{2, 1}$ norm?

$\ell_{2,1}$ is a matrix norm, as stated in this paper. For a certain matrix $A \in \mathbb{R}^{r\times c}$, we have $$\|A\|_{2,1} = \sum_{i=1}^r \sqrt{\sum_{j=1}^c A_{ij}^2}$$ You first apply $\ell_2$...
bluesisnotrock's user avatar
5 votes
Accepted

What is the best way to combine or weight multiple losses with gradient descent?

This is an important subfield within multi-task learning, called gradient combination. Here is a list of about a dozen recent approaches: https://github.com/Manchery/awesome-multi-task-learning#loss--...
chessprogrammer's user avatar
4 votes
Accepted

Are there any rules of thumb for having some idea of what capacity a neural network needs to have for a given problem?

Theoretical results Rather than providing a rule of thumb (which can be misleading, so I am not a big fan of them), I will provide some theoretical results (the first one is also reported in paper How ...
nbro's user avatar
  • 40.8k
4 votes
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What is relation between gradient descent and regularization in deep learning?

Usually, when talking about regularization for neural networks there are 3 main types: L1, L2 and dropout. All affect the gradient descent procedure. L1 and L2 regularization is implemented in the ...
user10283726's user avatar
4 votes

Can someone explain R1 regularization function in simple terms?

The current accepted answer is not exactly correct, we are not actually concerned with properties of the model parameters here. The $R_1$ regularization is dealing with the gradient with respect to ...
Vityou's user avatar
  • 51
4 votes
Accepted

Is the dropout technique specific only to neural networks?

I'm sure you can use dropout in any parameterized model, but I suspect it'll only really be helpful if you have enough parameters/nodes. Also dropout in neural nets has a Bayesian meaning, Yarin Gal ...
harwiltz's user avatar
  • 1,136
4 votes
Accepted

How does dropout work during backpropagation?

Backpropagation on a network with dropout works just as it does normally, it calculates the gradients and updates the weights. Longer explanation Dropout is a regularization technique which drops ...
Robin van Hoorn's user avatar
3 votes

Should I apply normalization to the observations in deep reinforcement learning?

The use of normalisation in neural networks and many other (but not all - decision trees are a notable exception) machine learning methods, is to improve the quality of the parameter space with ...
Neil Slater's user avatar
  • 32.4k
3 votes
Accepted

Does regularization just mean using an augmented loss function?

Regularization is not limited to methods like L1/L2 regularization which are specific versions of what you showed. Regularization is any technique that would prevent network from overfitting and help ...
meliksahturker's user avatar
3 votes
Accepted

Why does L1 regularization yield sparse features?

In L1 regularization, the penalty term you compute for every parameter is a function of the absolute value of a given weight (times some regularization factor). Thus, irrespective of whether a weight ...
Daniel B.'s user avatar
  • 825
3 votes

Are there any rules of thumb for having some idea of what capacity a neural network needs to have for a given problem?

This may sound counter intuitive but one of the biggest rules of thumb for model capacity in deep learning: IT SHOULD OVERFIT. Once you get a model to overfit, its easier to experiment with ...
mshlis's user avatar
  • 2,369
3 votes
Accepted

What is the difference between TensorFlow's callbacks and early stopping?

Early stopping and callbacks are two different concepts: Early stopping is a machine learning concept about when to stop training your model to avoid overfitting: You monitor a target value (e.g. ...
Feodoran's user avatar
  • 166
3 votes
Accepted

Which is a better form of regularization: lasso (L1) or ridge (L2)?

The following graph shows the constraint region (green), along with contours for Residual sum of squares (red ellipse). These are iso-lines signifying that points on an ellipse have the same RSS. ...
s_bh's user avatar
  • 360
3 votes
Accepted

Do different models using early stopping have the same validation set to check model training performance?

Short answer: Yes, the validation set should be the same otherwise you risk that a "lucky" set of validation samples is responsible for better performance. Long answer: A fair comparison of ...
Luca Anzalone's user avatar
2 votes

Can dropout layers not influence LSTM training?

A couple of points: Have you firstly scaled your data, e.g. using MinMaxScaler? This could be one reason why your loss readings remain high. Additionally, consider that while Dropout can be useful ...
Michael Grogan's user avatar
2 votes

Should I remove the units of a neural network or increase dropout?

There is no incentive to increase the size of the model for not reason. If a model of size x gives the best possible performance, there is no reason to use a model of size 2*x with 0.5 dropout during ...
Mark.F's user avatar
  • 446
2 votes

Why did the L1/L2 regularization technique not improve my accuracy?

You have a small dataset. Should you even be using neural nets? Have you done any diagnostics to see if you even have enough data? Are you using the right metric? Accuracy is not always the ...
MrStutterZ's user avatar
2 votes
Accepted

How does L2 regularization make weights smaller?

Here is my take. The larger the $\lambda$, the more the corresponding regularization term for a coefficient will be big, so when minimizing the cost function, the coefficient will be reduced by a ...
m.rp's user avatar
  • 136
2 votes

Why is dropout favoured compared to reducing the number of units in hidden layers?

The idea of dropout is that, at training time, with a certain probability $p_i \in [0, 1]$, the unit (or neuron) $i$ is dropped, $\forall i$, that is, the output of unit $i$ is set to zero so that $i$ ...
nbro's user avatar
  • 40.8k
2 votes

Does L1/L2 Regularization help reach an optimum result faster?

I am not aware of any empirical results regarding this question. But in theory, adding a regularization term shall make the learning task actually even harder, since there is suddenly a second loss ...
Daniel B.'s user avatar
  • 825
2 votes
Accepted

When would bias regularisation and activation regularisation be necessary?

Regularizer's are used as a means to combat over fitting.They essentially create a cost function penalty which tries to prevent quantities from becoming to large. I have primarily used kernel ...
Gerry P's user avatar
  • 724
2 votes
Accepted

What are the conceptual differences between regularisation and optimisation in deep neural nets?

You are correct. The main conceptual difference is that optimization is about finding the set of parameters/weights that maximizes/minimizes some objective function (which can also include a ...
nbro's user avatar
  • 40.8k
2 votes

How should we regularize an LSTM model?

One LSTM layer should be enough unless you have lots of data. The same thing goes for the number of nodes in the layer. Start small first so 5 to 10 nodes and increment it until the performance is ...
Marcus's user avatar
  • 226
2 votes

Should I apply normalization to the observations in deep reinforcement learning?

On creating custom environments: ... always normalize your observation space when you can, i.e., when you know the boundaries (From stable-baselines) You could normalize them as part of the ...
mugoh's user avatar
  • 531
2 votes

What does it mean when accuracy of regularized model is higher for training set than for validation set?

It implies that your regularization effects are too much, and prevent the model from learning from data. Also, at such a low accuracy (~10%), we can't really talk about overfitting.
SpiderRico's user avatar
  • 1,000
2 votes
Accepted

How does Regularization Reduce Overfitting?

I think different mathematical explanations exist for different situations where regularization is useful. The importance of regularization varies by problem as well. It is absolutely necessary when $...
John St. John's user avatar

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