I teach deep learning both for a living (as the main deepsense.io instructor, in a Kaggle-winning team1) and as a part of my volunteering with the Polish Children’s Fund giving workshops to gifted high-school students2. I want to share a few things I’ve learnt about teaching (and learning) deep learning.

Whether you want to start learning deep learning for you career, to have a nice adventure (e.g. with detecting huggable objects) or to get insight into machines before they take over3, this post is for you! Its goal is not to teach neural networks by itself, but to provide an overview and to point to didactically useful resources.

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Don’t be afraid of artificial neural networks - it is easy to start! In fact, my biggest regret is delaying learning it, because of the perceived difficulty. To start, all you need is really basic programming, very simple mathematics and knowledge of a few machine learning concepts. I will explain where to start with these requirements.

In my opinion, the best way to start is from a high-level interactive approach (see also: Quantum mechanics for high-school students and my Quantum Game with Photons). For that reason, I suggest starting with image recognition tasks in Keras, a popular neural network library in Python. If you like to train neural networks with less code than in Keras, the only viable option is to use pigeons. Yes, seriously: pigeons spot cancer as well as human experts!

What is deep learning and why is it cool?

Deep learning is a name for machine learning techniques using many-layered artificial neural networks. Occasionally people use the term artificial intelligence, but unless you want to sound sci-fi, it is reserved for problems that are currently considered “too hard for machines” - a frontier that keeps moving rapidly. This is a field that exploded in the last few years, reaching human-level accuracy in visual recognition tasks (among many other tasks). Unlike quantum computing, or nuclear fusion - it is a technology that is being applied right now, not some possibility for the future. There is a rule of thumb:

Pretty much anything that a normal person can do in <1 sec, we can now automate with AI. - Andrew Ng’s tweet

Some people go even further, extrapolating that statement to experts. It’s not a surprise that companies like Google and Facebook at the cutting-edge of progress. In fact, every few months I am blown away by something exceeding my expectations, e.g.:

It looks like some sorcery. If you are curious what neural networks are, take a look at this series of videos for a smooth introduction:

These techniques are data-hungry. See a plot of AUC score for logistic regression, random forest and deep learning on Higgs dataset (data points are in millions):

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In general there is no guarantee that, even with a lot of data, deep learning does better than other techniques, for example tree-based such as random forest or boosted trees.

Let’s play!

Do I need some Skynet to run it? Actually not - it’s a piece of software, like any other. And you can even play with it in your browser:

Or… if you want to use Keras in Python, see this minimal example - just to get convinced you can use it on your own computer.

Python and machine learning

I mentioned basics Python and machine learning as a requirement. They are already covered in my introduction to data science in Python and statistics and machine learning sections, respectively.

For Python, if you already have Anaconda distribution (covering most data science packages), the only thing you need is to install TensorFlow and Keras.

When it comes to machine learning, you don’t need to learn many techniques before jumping into deep learning. Though, later it would be a good practice to see if a given problem can be solved with much simpler methods. For example, random forest is often a lockpick, working out-of-the-box for many problems. You need to understand why we need to train and then test a classifier (to validate its predictive power). To get the gist of it, start with this beautiful tree-based animation:

Also, it is good to understand logistic regression, which is a building block of almost any neural network for classification.

Mathematics

Deep learning (that is - neural networks with many layers) uses mostly very simple mathematical operations - just many of them. Here there are a few, which you can find in almost any network (look at this list, but don’t get intimidated):

  • vectors, matrices, multi-dimensional arrays,
  • addition, multiplication,
  • convolutions to extract and process local patterns,
  • activation functions: sigmoid, tanh or ReLU to add non-linearity,
  • softmax to convert vectors into probabilities,
  • log-loss (cross-entropy) to penalize wrong guesses in a smart way,
  • gradients and chain-rule (backpropagation) for optimizing network parameters,
  • stochastic gradient descent and its variants (e.g. momentum).

If your background is in mathematics, statistics, physics5 or signal processing - most likely you already know more than enough to start!

If your last contact with mathematics was in high-school, don’t worry. Its mathematics is simple to the point that a convolutional neural network for digit recognition can be implemented in a spreadsheet (with no macros), see: Deep Spreadsheets with ExcelNet. It is only a proof-of-principle solution - not only inefficient, but also lacking the most crucial part - the ability to train new networks.

The basics of vector calculus are crucial not only for deep learning, but also for many other machine learning techniques (e.g. in word2vec I wrote about). To learn it, I recommend starting from one of the following:

Since there are many references to NumPy, it may be useful to learn its basics:

At the same time - look back at the meme, at the What mathematicians think I do part. It’s totally fine to start from a magically working code, treating neural network layers like LEGO blocks.

Frameworks

There is a handful of popular deep learning libraries, including TensorFlow, Theano, Torch and Caffe. Each of them has Python interface (now also for Torch: PyTorch).

So, which to choose? First, as always, screw all subtle performance benchmarks, as premature optimization is the root of all evil. What is crucial is to start with one which is easy to write (and read!), one with many online resources, and one that you can actually install on your computer without too much pain.

Bear in mind that core frameworks are multidimensional array expression compilers with GPU support. Current neural networks can be expressed as such. However, if you just want to work with neural networks, by rule of least power, I recommend starting with a framework just for neural networks. For example…

Keras

If you like the philosophy of Python (brevity, readability, one preferred way to do things), Keras is for you. It is a high-level library for neural networks, using TensorFlow or Theano as its backend. Also, if you want to have a propaganda picture, there is a possibly biased (or overfitted?) popularity ranking:

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If you want to consult a different source, based on arXiv papers rather than GitHub activity, see A Peek at Trends in Machine Learning by Andrej Karpathy. Popularity is important - it means that if you want to search for a network architecture, googling for it (e.g. UNet Keras) is likely to return an example. Where to start learning it? Documentation on Keras is nice, and its blog is a valuable resource. For a complete, interactive introduction to deep learning with Keras in Jupyter Notebook, I really recommend:

For shorter ones, try one of these:

There are a few add-ons to Keras, which are especially useful for learning it. I created ASCII summary for sequential models to show data flow inside networks (in a nicer way than model.summary()). It shows layers, dimensions of data (x, y, channels) and the number of free parameters (to be optimized). For example, for a network for digit recognition it might look like:

           OPERATION           DATA DIMENSIONS   WEIGHTS(N)   WEIGHTS(%)

               Input   #####     32   32    3
              Conv2D    \|/  -------------------       896     0.1%
                relu   #####     32   32   32
              Conv2D    \|/  -------------------      9248     0.7%
                relu   #####     30   30   32
        MaxPooling2D   Y max -------------------         0     0.0%
                       #####     15   15   32
             Dropout    | || -------------------         0     0.0%
                       #####     15   15   32
              Conv2D    \|/  -------------------     18496     1.5%
                relu   #####     15   15   64
              Conv2D    \|/  -------------------     36928     3.0%
                relu   #####     13   13   64
        MaxPooling2D   Y max -------------------         0     0.0%
                       #####      6    6   64
             Dropout    | || -------------------         0     0.0%
                       #####      6    6   64
             Flatten   ||||| -------------------         0     0.0%
                       #####        2304
               Dense   XXXXX -------------------   1180160    94.3%
                relu   #####         512
             Dropout    | || -------------------         0     0.0%
                       #####         512
               Dense   XXXXX -------------------      5130     0.4%
             softmax   #####          10

You might be also interested in nicer progress bars with keras-tqdm, exploration of activations at each layer with quiver or converting Keras models to javascript, runnable in a browser with Keras.js.

TensorFlow

If not Keras, then I recommend starting with bare TensorFlow. It is a bit more low-level and verbose, but makes it straightforward to optimize various multidimensional array (or, well, tensor) operations. A few good resources:

In any case, TensorBoard makes it easy to keep track of the training process. It can also be used with Keras, via callbacks.

Other

Theano is similar to TensorFlow, but a bit older and harder to start. For example, you need to manually write updates of variables. Typical neural network layers are not included, so one often uses libraries such as Lasagne. If you’re looking for a place to start, I like this introduction:

At the same time, if you see some nice code in Torch or PyTorch, don’t be afraid to install and run it!

Datasets

Every machine learning problem needs data. You cannot just tell it “detect if there is a cat in this picture” and expect the computer to tell you the answer. You need to show many instances of cats, and pictures not containing cats, and (hopefully) it will learn to generalize it to other cases. So, you need some data to start. And it is not a drawback of machine learning or just deep learning - it is a fundamental property of any learning!

Before you dive into uncharted waters, it is good to take a look at some popular datasets. The key part about them is that they are… popular. It means that you can find a lot of examples what works. And have a guarantee that these problems can be solved with neural networks.

MNIST

Many good ideas will not work well on MNIST (e.g. batch norm). Inversely many bad ideas may work on MNIST and no[t] transfer to real [computer vision]. - Fran?ois Chollet’s tweet

Still, I recommend starting with the MNIST digit recognition dataset (60k grayscale 28x28 images), included in keras.datasets. Not necessary to master it, but just to get a sense that it works at all (or to test the basics of Keras on your local machine).

notMNIST

Indeed, I once even proposed that the toughest challenge facing AI workers is to answer the question: “What are the letters ‘A’ and ‘I’? - Douglas R. Hofstadter (1995)

A more interesting dataset, and harder for classical machine learning algorithms, is notMNIST (letters A-J from strange fonts). If you want to start with it, here is my code for notMNIST loading and logistic regression in Keras.

CIFAR

If you want to play with image recognition, there is CIFAR dataset, a dataset of 32x32 photos (also in keras.datasets). It comes in two versions: 10 simple classes (including cats, dogs, frogs and airplanes ) and 100 harder and more nuanced classes (including beaver, dolphin, otter, seal and whale). I strongly suggest starting with CIFAR-10, the simpler version. Beware, more complicated networks may take quite some time (~12h on CPU my 7 year old Macbook Pro).

More

Deep learning requires a lot of data. If you want to train your network from scratch, it may require as many as ~10k images even if low-resolution (32x32). Especially if data is scarce, there is no guarantee that a network will learn anything. So, what are the ways to go?

  • use really low res (if your eye can see it, no need to use higher resolution)
  • get a lot of data (for images like 256x256 it may be: millions of instances)
  • re-train a network that already saw a lot
  • generate much more data (with rotations, shifts, distortions)

Often, it’s a combination of everything mentioned here.

Standing on the shoulders of giants

Creating a new neural network has a lot in common with cooking - there are typical ingredients (layers) and recipes (popular network architectures). The most important cooking contest is ImageNet Large Scale Visual Recognition Challenge, with recognition of hundreds of classes from half a million dataset of photos. Look at these Neural Network Architectures, typically using 224x224x3 input (chart by Eugenio Culurciello):

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Circle size represents the number of parameters (a lot!). It doesn’t mention SqueezeNet though, an architecture vastly reducing the number of parameters (e.g. 50x fewer).

A few key networks for image classification can be readily loaded from the keras.applications module: Xception, VGG16, VGG19, ResNet50, InceptionV3. Some others are not as plug & play, but still easy to find online - yes, there is SqueezeNet in Keras. These networks serve two purposes:

  • they give insight into useful building blocks and architectures
  • they are great candidates for retraining (so-called transfer learning), when using architecture along with pre-trained weights)

Some other important network architectures for images:

Another set of insights:

Infrastructure

For very small problems (e.g. MNIST, notMNIST), you can use your personal computer - even if it is a laptop and computations are on CPU.

For small problems (e.g. CIFAR, the unreasonable RNN), you might be still able to use a PC, but it requires much more patience and trade-offs.

For medium and larger problems, essentially the only way to go is to use a machine with a strong graphic card (GPU). For example, it took us 2 days to train a model for satellite image processing for a Kaggle competition, see our:

On a strong CPU it would have taken weeks, see:

The easiest, and the cheapest, way to use a strong GPU is to rent a remote machine on a per-hour basis. You can use Amazon (it is not only a bookstore!), here are some guides:

Further learning

I encourage you to interact with code. For example, notMNIST or CIFAR-10 can be great starting points. Sometimes the best start is to start with someone’s else code and run it, then see what happens when you modify parameters.

For learning how it works, this one is a masterpiece:

When it comes to books, there is a wonderful one, starting from introduction to mathematics and machine learning learning context (it even covers log-loss and entropy in a way I like!):

Alternatively, you can use (it may be good for an introduction with interactive materials, but I’ve found the style a bit long-winded):

Other materials

There are many applications of deep learning (it’s not only image recognition!). I collected some introductory materials to cover its various aspects (beware: they are of various difficulty). Don’t try to read them all - I list them for inspiration, not intimidation!

Thanks

I would like to thank Kasia Kulma, Martina Pugliese, Pawe? Subko, Monika Paw?owska and ?ukasz Kidziński for helpful feedback on the content and to Sarah Martin for polishing my English.

If you recommend a source that helped you with your adventure with deep learning - feel invited to contact me! (@pmigdal for short links, an email for longer remarks.)

The deep learning meme is not mine - I’ve just I rewrote from Theano to Keras (with TensorFlow backend).

  1. NOAA Right Whale Recognition, Winners’ Interview (1st place, Jan 2016), and a fresh one: Deep learning for satellite imagery via image segmentation (4th place, Apr 2017). ?

  2. This January during a 5-day workshop 6 high-school students participated in a rather NSFL project - constructing a neural network for detecting trypophobia triggers, see e.g. grzegorz225/trypophobia-detector and cytadela8/trypophobia_detector. ?

  3. It made a few episodes of webcomics obsolete: xkcd: Tasks (totally, by Park or Bird?), xkcd: Game AI) (partially, by AlphaGo), PHD Comics: If TV Science was more like REAL Science (not exactly, but still it’s cool, by LapSRN). ?

  4. The title alludes to The Unreasonable Effectiveness of Mathematics in the Natural Sciences by Eugene Wigner (1960), one of my favourite texts in philosophy of science. Along with More is Different by PW Andreson (1972) and Genesis and development of a scientific fact (pdf here) by Ludwik Fleck (1935). ?

  5. If your background is in quantum information, the only thing you need to change is ? to ?. Just expect less tensor structure, but more convolutions. ?

  6. Is it only me, or does Theano tensor dimension order sound like some secret convent? Before you start searching how to join it: it is about the shape of multi-dimensional arrays: (samples, channels, x, y) rather than TensorFlow’s (samples, x, y, channels). ?