I finished going over the WGAN paper: WGAN Paper Link
After reading the algorithm provided by the writers I find it odd that they would refer to the network as an adversarial network.
In the first part of the algorithm a 'critic' is trained to optimality and they show this critic approximates the Wasserstein distance between our generator distribution and the real distribution. We then take this approximation and update the parameters of the generator distribution in the direction of the gradient of the critic. So in a sense we're just approximating a loss function and then we tell the generator in what direction is best to go. so a critic is a very good name for this, but calling it an adversarial network implies that the generator and the critic are at odds. Any ideas why this should still be nicknamed an adversarial network?
The name "adversarial" does not come from this paper, it comes from the GAN itself, this paper is merely an incremental work on top (and thus is not renaming anything). The reason why the "original" GAN is called Generative Adversarial Network is because it is trained in a form of a two-player, competitive game, where a generator task is to fool discriminator, and discriminators task is to well, not be fooled. This is the "at odds" part. And it is indeed critical to the whole system, vast majority of problems of GANs, that spawned hundreds of papers (like the one above) comes from the fact that greedy optimization of 2 player games has much more chaotic dynamics, and will not "just converge with small enough learning rate" that normal minimization of (smooth enough) loss function would. From math perspective, the subtle difference that makes things chaotic is that gradients that train discriminator are not back-propagated to the generator. Otherwise generator would be "helping" discriminator. Because of this stop gradient the emerging dynamics is no longer a gradient vector field of any loss, and instead it is a dynamical system emerging from simultaneous minimization of 2 functions (also called 2 player games).
Related
I have working with deep reinforcement learning and in the literature, usually the learning rates are lower than I found in other settings.
My model is the following one:
def create_model(self):
model = Sequential()
model.add(LSTM(HIDDEN_NODES, input_shape=(STATE_SIZE, STATE_SPACE), return_sequences=False))
model.add(Dense(HIDDEN_NODES, activation='relu', kernel_regularizer=regularizers.l2(0.000001)))
model.add(Dense(HIDDEN_NODES, activation='relu', kernel_regularizer=regularizers.l2(0.000001)))
model.add(Dense(ACTION_SPACE, activation='linear'))
# Compile the model
model.compile(loss=tf.keras.losses.Huber(delta=1.0), optimizer=Adam(lr=LEARNING_RATE, clipnorm=1))
return model
Where the initial learning rate (lr) is 3e-5. For the fine-tuning, I freeze the first two layers (this step is essential in my settings) and decrease the learning rate to 3e-9. During the fine-tuning, the model might suffer from a distributional shift once the source of samples is perturbed data. Is there another source of problems besides this for such a low learning rate to keep my model improving?
First, Show me your data sample.
Theoretical Answer:
We have learned how perturbation helps in solving various issues related to neural network training or trained model. Here, we have seen perturbation in three components (gradients, weights, inputs) associated with neural-network training and trained model; perturbation, in gradients is to tackle vanishing gradient problem, in weights for escaping saddle point, and in inputs to avoid malicious attacks. Overall, perturbations in different ways play the role of strengthening the model against various instabilities, for example, it can avoid staying at correctness wreckage point since such position will be tested with perturbation (input, weight, gradient) which will make the model approach towards correctness attraction point.
As of now, perturbation is mainly contingent to empirical-experimentation designed from intuition to solve encountering problems. One needs to experiment if perturbing a component of the training process makes sense intuitively, and further verify empirically if it helps mitigate the problem. Nevertheless, in future, we will see more on perturbation theory in deep learning or machine learning in general which might also be backed by a theoretical guarantee.
I want to know about the convergence time of Deep Q-learning vs Q-learning when run on same problem. Can anyone give me an idea about the pattern between them? It will be better if it is explained with a graph.
In short, the more complicated the state is, the better DQN is over Q-Learning (by complicated, I mean the number of all possible states). When the state is too complicated, Q-learning becomes nearly impossible to converge due to time and hardware limitation.
note that DQN is in fact a kind of Q-Learning, it uses a neural network to act like a q table, both Q-network and Q-table are used to output a Q value with the state as input. I will continue using Q-learning to refer the simple version with Q-table, DQN with the neural network version
You can't tell convergence time without specifying a specific problem, because it really depends on what you are doing:
For example, if you are doing a simple environment like FrozenLake:https://gym.openai.com/envs/FrozenLake-v0/
Q-learning will converge faster than DQN as long as you have a reasonable reward function.
This is because FrozenLake has only 16 states, Q-Learning's algorithm is just very simple and efficient, so it runs a lot faster than training a neural network.
However, if you are doing something like atari:https://gym.openai.com/envs/Assault-v0/
there are millions of states (note that even a single pixel difference is considered totally new state), Q-Learning requires enumerating all states in Q-table to actually converge (so it will probably require a very large memory plus a very long training time to be able to enumerate and explore all possible states). In fact, I am not sure if it is ever going to converge in some more complicated game, simply because of so many states.
Here is when DQN becomes useful. Neural networks can generalize the states and find a function between state and action (or more precisely state and Q-value). It no longer needs to enumerate, it instead learns information implied in states. Even if you have never explored a certain state in training, as long as your neural network has been trained to learn the relationship on other similar states, it can still generalize and output the Q-value. And therefore it is a lot easier to converge.
I am fairly new to Deep Learning and get quite overwhelmed by the many different Nets and their field of application. Thus, I want to know if there is some kind of overview which kind of different networks exist, what there key-features are and what kind of purpose they have.
For example I know abut LeNet, ConvNet, AlexNet - and somehow they are the same but still differ?
There are basically two types of neural networks, supervised and unsupervised learning. Both need a training set to "learn". Imagine training set as a massive book where you can learn specific information. In supervised learning, the book is supplied with answer key but without the solution manual, in contrast, unsupervised learning comes without answer key or solution manual. But the goal is the same, which is that to find patterns between the questions and answers (supervised learning) and questions (unsupervised learning).
Now we have differentiate between those two, we can go into the models. Let's discuss about supervised learning, which basically has 3 main models:
artificial neural network (ANN)
convolutional neural network (CNN)
recurrent neural network (RNN)
ANN is the simplest of all three. I believe that you have understand it, so we can move forward to CNN.
Basically in CNN all you have to do is to convolve our input with feature detectors. Feature detectors are matrices which have the dimension of (row,column,depth(number of feature detectors). The goal of convolving our input is to extract informations related to spatial data. Let's say you want to distinguish between cats and dogs. Cats have whiskers but dogs does not. Cats also have different eyes than dogs and so on. But the downside is, the more convolution layers will result in slower computation time. To mitigate that, we do some kind of processing called pooling or downsampling. Basically, this reduce the size of feature detectors while minimizing lost features or information. Then the next step would be flattening or squashing all those 3d matrix into (n,1) dimension so you can input it into ANN. Then the next step is self explanatory, which is normal ANN. Because CNN is inherently able to detect certain features, it mostly(maybe always) used for classification, for example image classification, time series classification, or maybe even video classification. For a crash course in CNN, check out this video by Siraj Raval. He's my favourite youtuber of all time!
Arguably the most sophisticated of all three, RNN is bestly described as neural networks that have "memory" by introducing "loops" within them which allow information to persist. Why is this important? As you are reading this, your brain use previous memory to comprehend all of this information. You don't seem to rethink everything from scratch again and this is what traditional neural networks do, which is to forget everything and re-learn again. But native RNN aren't effective so when people talk about RNN they mostly refer to LSTM which stands for Long Short-Term Memory. If that seems confusing to you, Cristopher Olah will give you in depth explanation in a very simple way. I advice you to check out his link for complete understanding about how RNN, especially LSTM variant
As for unsupervised learning, I'm so sorry that I haven't got the time to learn them, so this is the best I can do. Good luck and have fun!
They are the same type of Networks. Convolutional Neural Networks. The problem with the overview is that as soon as you post something it is already outdated. Most of the networks you describe are already old, even though they are only a few years old.
Nevertheless you can take a look at the networks supplied by caffe (https://github.com/BVLC/caffe/tree/master/models).
In my personal view the most important concepts in deep Learning are recurrent networks (https://keras.io/layers/recurrent/), residual connections, inception blocks (see https://arxiv.org/abs/1602.07261). The rest are largely theoretical concepts, which would not fit in a stack overflow answer.
I'm enrolled in Coursera ML class and I just started learning about neural networks.
One thing that truly mystifies me is how recognizing something so “human”, like a handwritten digit, becomes easy once you find the good weights for linear combinations.
It is even crazier when you understand that something seemingly abstract (like a car) can be recognized just by finding some really good parameters for linear combinations, and combining them, and feeding them to each other.
Combinations of linear combinations are much more expressible than I once thought.
This lead me to wonder if it is possible to visualize NN's decision process, at least in simple cases.
For example, if my input is 20x20 greyscale image (i.e. total 400 features) and the output is one of 10 classes corresponding to recognized digits, I would love to see some kind of visual explanation of which cascades of linear combinations led the NN to its conclusion.
I naïvely imagine that this may be implemented as visual cue over the image being recognized, maybe a temperature map showing “pixels that affected the decision the most”, or anything that helps to understand how neural network worked in a particular case.
Is there some neural network demo that does just that?
This is not a direct answer to your question. I would suggest you take a look at convolutional neural networks (CNN). In CNNs you can almost see the concept that is learned. You should read this publication:
Y. LeCun, L. Bottou, Y. Bengio and P. Haffner: Gradient-Based Learning Applied to Document Recognition, Proceedings of the IEEE, 86(11):2278-2324, November 1998
CNNs are often called "trainable feature extractors". In fact, CNNs implement 2D filters with trainable coefficients. This is why the activation of the first layers are usually shown as 2D images (see Fig. 13). In this paper the authors use another trick to make the networks even more transparant: the last layer is a radial basis function layer (with gaussian functions), i. e. the distance to an (adjustable) prototype for each class is calculated. You can really see the learned concepts by looking at the parameters of the last layer (see Fig. 3).
However, CNNs are artificial neural networks. But the layers are not fully connected and some neurons share the same weights.
Maybe it doesn't answer the question directly but I found this interesting piece in this Andrew Ng, Jeff Dean, Quoc Le, Marc’Aurelio Ranzato, Rajat Monga, Matthieu Devin,
Kai Chen and
Greg Corrado paper (emphasis mine):
In this section, we will present two visualization techniques to verify if the optimal stimulus of the neuron is indeed a face. The first method is visualizing the most responsive stimuli in the test set. Since the test set is large, this method can reliably detect near optimal stimuli of the tested neuron. The second approach is to perform numerical optimization to find the optimal stimulus
...
These visualization methods have complementary strengths and weaknesses. For instance, visualizing the most responsive stimuli may suffer from fitting to noise. On the other hand, the numerical optimization approach can be susceptible to local minima. Results, shown [below], confirm that the tested neuron indeed learns the concept of faces.
In other words, they take a neuron that is best-performing at recognizing faces and
select images from the dataset that it cause it to output highest confidence;
mathematically find an image (not in dataset) that would get highest condifence.
It's fun to see that it actually “captures” features of the human face.
The learning is unsupervised, i.e. input data didn't say whether an image is a face or not.
Interestingly, here are generated “optimal input” images for cat heads and human bodies:
I do know that feedforward multi-layer neural networks with backprop are used with Reinforcement Learning as to help it generalize the actions our agent does. This is, if we have a big state space, we can do some actions, and they will help generalize over the whole state space.
What do recurrent neural networks do, instead? To what tasks are they used for, in general?
Recurrent Neural Networks, RNN for short (although beware that RNN is often used in the literature to designate Random Neural Networks, which effectively are a special case of Recurrent NN), come in very different "flavors" which causes them to exhibit various behaviors and characteristics. In general, however these many shades of behaviors and characteristics are rooted in the availability of [feedback] input to individual neurons. Such feedback comes from other parts of the network, be it local or distant, from the same layer (including in some cases "self"), or even on different layers (*). Feedback information it treated as "normal" input the neuron and can then influence, at least in part, its output.
Unlike back propagation which is used during the learning phase of a Feed-forward Network for the purpose of fine-tuning the relative weights of the various [Feedfoward-only] connections, FeedBack in RNNs constitute true a input to the neurons they connect to.
One of the uses of feedback is to make the network more resilient to noise and other imperfections in the input (i.e. input to the network as a whole). The reason for this is that in addition to inputs "directly" pertaining to the network input (the types of input that would have been present in a Feedforward Network), neurons have the information about what other neurons are "thinking". This extra info then leads to Hebbian learning, i.e. the idea that neurons that [usually] fire together should "encourage" each other to fire. In practical terms this extra input from "like-firing" neighbor neurons (or no-so neighbors) may prompt a neuron to fire even though its non-feedback inputs may have been such that it would have not fired (or fired less strongly, depending on type of network).
An example of this resilience to input imperfections is with associative memory, a common employ of RNNs. The idea is to use the feeback info to "fill-in the blanks".
Another related but distinct use of feedback is with inhibitory signals, whereby a given neuron may learn that while all its other inputs would prompt it to fire, a particular feedback input from some other part of the network typically indicative that somehow the other inputs are not to be trusted (in this particular context).
Another extremely important use of feedback, is that in some architectures it can introduce a temporal element to the system. A particular [feedback] input may not so much instruct the neuron of what it "thinks" [now], but instead "remind" the neuron that say, two cycles ago (whatever cycles may represent), the network's state (or one of its a sub-states) was "X". Such ability to "remember" the [typically] recent past is another factor of resilience to noise in the input, but its main interest may be in introducing "prediction" into the learning process. These time-delayed input may be seen as predictions from other parts of the network: "I've heard footsteps in the hallway, expect to hear the door bell [or keys shuffling]".
(*) BTW such a broad freedom in the "rules" that dictate the allowed connections, whether feedback or feed-forward, explains why there are so many different RNN architectures and variations thereof). Another reason for these many different architectures is that one of the characteristics of RNN is that they are not readily as tractable, mathematically or otherwise, compared with the feed-forward model. As a result, driven by mathematical insight or plain trial-and-error approach, many different possibilities are being tried.
This is not to say that feedback network are total black boxes, in fact some of the RNNs such as the Hopfield Networks are rather well understood. It's just that the math is typically more complicated (at least to me ;-) )
I think the above, generally (too generally!), addresses devoured elysium's (the OP) questions of "what do RNN do instead", and the "general tasks they are used for". To many complement this information, here's an incomplete and informal survey of applications of RNNs. The difficulties in gathering such a list are multiple:
the overlap of applications between Feed-forward Networks and RNNs (as a result this hides the specificity of RNNs)
the often highly specialized nature of applications (we either stay in with too borad concepts such as "classification" or we dive into "Prediction of Carbon shifts in series of saturated benzenes" ;-) )
the hype often associated with neural networks, when described in vulgarization texts
Anyway, here's the list
modeling, in particular the learning of [oft' non-linear] dynamic systems
Classification (now, FF Net are also used for that...)
Combinatorial optimization
Also there are a lots of applications associated with the temporal dimension of the RNNs (another area where FF networks would typically not be found)
Motion detection
load forecasting (as with utilities or services: predicting the load in the short term)
signal processing : filtering and control
There is an assumption in the basic Reinforcement Learning framework that your state/action/reward sequence is a Markov Decision Process. That basically means that you do not need to remember any information about previous states from this episode to make decisions.
But this is obviously not true for all problems. Sometimes you do need to remember some recent things to make informed decisions. Sometimes you can explicitly build the things that need to be remembered into the state signal, but in general we'd like our system to learn what it needs to remember. This is called a Partially Observable Markov Decision Process (POMDP), and there are a variety of methods used to deal with it. One possibly solution is to use a recurrent neural network, since they incorporate details from previous time steps into the current decision.