Contents

Modern computational neural network methods reascend the hype phase transition. a.k.adeep learningordouble plus fancy brainbotsorplease can our department have a bigger GPU budget it’s not to play video games I swear?.

## What?

To be specific, deep learning is

- a library of incremental improvements in areas such as
Stochastic Gradient Descent,
approximation theory,
graphical models, and
signal processing research,
plus some handy advancements in
SIMD architectures
that, taken together, surprisingly elicit the
kind of results from machine learning that everyone was hoping we’d get by at
least 20 years ago, yet
*without*requiring us to develop substantially more clever grad students to do so, or, - the state-of-the-art in artificial kitten recognition.
- a rapidly metatstatizing buzzword

It’s a frothy (some might say foamy-mouthed) research bubble right now, with such cute extrema as, e.g. Inceptionising inceptionism (ADGH16) which learns to learn neural networks using neural networks. (well, it sort of does that, but is a long way from a bootstrapping general AI) Stay tuned for more of this.

There is not much to do with “neurons” left in the paradigm at this stage. What there is, is a bundle of clever tricks for training deep constrained hierarchical regressions and classified on modern computer hardware. Something closer to a convenient technology stack than a single “theory”.

Some network methods hew closer to behaviour of real neurons,
although not *that* close; simulating actual brains is
a different discipline
with only intermittent and indirect connection.

Subtopics of interest to me:

## Why bother?

There are many answers here.

A classic —-

### The ultimate regression algorithm

…until the next ultimate regression algorithm.

It turns out that this particular learning model (class of learning models) and training technologies is surprisingly good at getting every better models out of ever more data. Why burn three grad students on a perfect tractable and specific regression algorithm when you can use one algorithm to solve a whole bunch of regression problems, and which improves with the number of computers and the amount of data you have? How much of a relief is it to capital to decouple its effectiveness from the uncertainty and obstreperousness of human labour?

### Cool maths

Function approximations, interesting manifold inference. Weird product measure things, e.g. Mont14.

Even the stuff I’d assumed was trivial, like backpropagation, has a few wrinkles in practice. See Michael Nielson’s chapter and Chrisopher Olah’s visual summary.

Yes, this is a regular paper mill. Not only are there probably new insights to be had here, but also you can recycle any old machine learning insight, replace a layer in a network with that and *poof* —- new paper.

### Insight into the mind

TBD. Maybe.

There claims to be communication between real neurology and neural networks in computer vision, but elsewhere neural networks are driven by their similarities to other things, such as being differentiable relaxations of traditional models, such stack machines or of being license to fit hierarchical models without paying attention to statistical niceties.

There might be some kind of occasional “stylised fact”-type relationship here.

## Hip keywords for NN models

Not necessarily mutually exclusive; some design patterns you can use.

See Tomasz Malisiewicz’s summary of Deep Learning Trends @ ICLR 2016, or the Neural network zoo or Simon Brugman’s seep learning papers.

Some of these are descriptions of topologies, others of training tricks or whatever. Recurrent and convolutional are two types of topologies you might have in your ANN. But there are so many other possible ones: “Grid”, “highway”, “Turing” others…

Many are mentioned in passing in David Mcallester’s Cognitive Architectures post.

### Convolutional

Signal processing baked in to neural networks. Not so complicated if you have ever done signal processing, apart from the abstruse use of “depth” to mean 2 different things in the literature.

Generally uses FIR filters plus some smudgy “pooling” (which is nonlinear downsampling), although IIR is also making an appearance by running RNN on multiple axes.

### Recurrent neural networks

Feedback neural networks structures to have with memory and a notion of time and “current” versus “past” state. see recurrent neural networks.

#### GridRNN etc

A mini-genre. KaDG15 et al connect recurrent cells across multiple axes, leading to a higher-rank MIMO system; This is natural in many kinds of spatial random fields, and I am amazed it was uncommon enough to need formalizing in a paper; but it was and it did and good on Kalchbrenner et al.

### Attention mechanism

What’s that now?

### Spike-based

Most simulated neural networks are based on a continuous activation potential and discrete time, unlike spiking biological ones, which are driven by discrete events in continuous time. There are a great many other differences. What difference does this in particular make? I suspect it make a difference regarding time. See undifferentiable neural networks.

### Kernel networks

Kernel trick + ANN = kernel ANNs. Sounds intuitive; I’m sure there are many hairy details.

### Convex neural networks

Something to do with kernel tricks?? Do not confuse with convolutional neural networks.

Bengio, Le Roux, Vincent, Delalleau, and Marcotte, 2006.

### Extreme learning machines

Dunno. I think this is a flavour of random neural net?

### Autoencoding

TBD. Making a sparse encoding of something by demanding your network reproduces the after passing the network activations through a narrow bottleneck. Many flavours.

## Optimisation methods

Backpropagation plus stochastic gradient descent rules at the moment.

Does anything else get performance at this scale?
What other techniques can be extracted from variational inference
or MC sampling, or particle filters,
since there is no clear reason that shoving any of these in
as intermediate layers in the network
is any *less* well-posed than a classical backprop layer?
Although it does require more nous from the enthusiastic grad student.

## Software stuff

I use Tensorflow, plus a side order of Keras.

I could instead use…

Python: Theano

Python/C++: tensorflow is similar to Theano, but younger. However, it’s backed by google so maybe has better long-term prospects? The construction of graphs is more explicit than in Theano, which I find easier to understand, although this means that you lose the more pythonic feel of Theano.

I’m using this enough to give it its own notebook.

Python: Pytorch

They claim to be aiming for fancy features such as reversible learning (MaDA15) and other such advanced technique of regularisation.

PyTorch has a unique way of building neural networks: using and replaying a tape recorder.

Most frameworks such as TensorFlow, Theano, Caffe and CNTK have a static view of the world. One has to build a neural network, and reuse the same structure again and again. Changing the way the network behaves means that one has to start from scratch. [… Pytorch] allows you to change the way your network behaves arbitrarily with zero lag or overhead.

- main website
- source
- sundry hot tips at the amazing pytorch

Lua: Torch

MATLAB/Python: Caffe claims to be a “de facto standard”

Python/C++: Paddlepaddle is Baidu’s nonfancy NN machine

Minimalist C++: tiny-dnn is a C++11 implementation of deep learning. It is suitable for deep learning on limited computational resource, embedded systems and IoT devices.

NNpack “is an acceleration package for neural network computations. NNPACK aims to provide high-performance implementations of convnet layers for multi-core CPUs.”

NNPACK is not intended to be directly used by machine learning researchers; instead it provides low-level performance primitives to be leveraged by higher-level frameworks

USP: compiles to javacscript amongst other things.

javascript: see javascript machine learning

iphone: DeepBeliefSDK

julia:

### Partial-training

A.k.a. *transfer learning*.
Recycling someone else’s features.
I don’t know why this has a special term -
I think it’s so that you can claim to do “end-to-end” learning, but then
actually do what everyone else as done forever and works totally OK, which is
to re-use other people’s work like real scientists.

Building powerful image classification models using very little data.

## Examples

### pre-computed/trained models

- Caffe format:
- The Caffe Zoo has lots of nice models, pre-trained on their wiki
- Here’s a great CV one, Andrej Karpathy’s image captioner, Neuraltalk2

- for the NVC dataset: - pre-trained feature model here)
- Alexnet
- For lasagne: https://github.com/Lasagne/Recipes/tree/master/modelzoo
- For Keras:

## Howtos

- diagramming convnets using matplotlib in python
- Awesome deep learning
- What’s wrong with deep learning? is a high speed diagrammatic introductory presentation with clickbait title, by one of the founding fathers, Yann LeCunn
- Yarin Gal on uncertainty quantification
- Memkite’s Deep learning bibliography
- deeplearning.net’s reading list…
- and their tutorials are clear

- Michael Nielson has a free online textbook with code examples in python
- Dürr’s tutorial
- Geoffrey Hinton’s video draws the connection between Markov Random Fields and neural networks, and also links to lots of other video tutorials in the sidebar
- The cat recogniser team lead, Quoc Le, has some nice lectures
- cute: srirajology’s energetic “demystifying” howtos

## To read

Ian Goodfellow and Yoshua Bengio and Aaron Courville, Deep Learning is a textbook by some heavy hitters in the field.

Deep Neural Networks are Easily Fooled: High Confidence Predictions for Unrecognizable Images

Jeff Dean’s Large Scale Deep Learning at Google

The vector embedding is cool:

\begin{equation*} E(Rome) - E(Italy) + E(Germany) \approx E(Berlin) \end{equation*}More of that under semantics.

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