Modern computational neural network methods reascend the hype phase transition. a.k.a deep learning or double plus fancy brainbots or please give the department have a bigger GPU budget it’s not to play video games I swear.
I don’t intend to write an introduction to deep learning here; that ground has been tilled already.
But here are some handy links to resources I frequently use.
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 cuteness at the 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 predictors and classifiers 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:
- recurrent networks for audio data
- compressing deep networks
- neural stack machines
- probabilistic learning
- generative models, esp for art
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?
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
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, (differentiable stack machines!) or of being license to fit hierarchical models without regard for statistical niceties.
There might be some kind of occasional “stylised fact”-type relationship here.
Trippy art projects
See generative art and neural networks
Hip keywords for NN models
Not necessarily mutually exclusive; some design patterns you can use.
There are many summaries floating around here. Some that I looked at are Tomasz Malisiewicz’s summary of Deep Learning Trends @ ICLR 2016, or the Neural network zoo or Simon Brugman’s deep 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.
See probabilistic Neural Networks.
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.
Terence Broad’s convnet visualizer
See the convenets entry.
Generative Adversarial Networks
Train two networks to beat each other.
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.
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 apparently it was and it did.
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.
What’s that now? Long story, but see transformer or Sparse Transformer for particularly developed examples and explanations of this sub-field.
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 (to real biology). What difference does this in particular make? I suspect it means that time is handled different.
Kernel trick + ANN = kernel ANNs.
(Stay tuned for reframing more things as deep learning.)
I think this is what convex networks are also?
Bengio, Le Roux, Vincent, Delalleau, and Marcotte, 2006.
AFAICT these all boil down to rebadged extensions of Gaussian processes but maybe I’m missing something?
🚧 Making a sparse encoding of something by demanding your network reproduces the after passing the network activations through a narrow bottleneck. Many flavours.
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.
See regularising deep learning.
Activations for neural networks
See activation functions
Various design niceties.
Managing those dimensions
Practically a lot of the time managing deep learning is remembering which axis is which.
Alexander Rush argues you want a NamedTensor. Implementations:
Einsum does einstein summation, whcih is also very helpful.
For general purposes I use,
I could use…
Intel’s ngraph, which compile neural nets esp for CPUs
Collaboratively build, visualize, and design neural nets in browser
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.
The internet is full of this. Here are some selected highlights.
Yarin Gal on uncertainty quantification
Michael Nielson has a free online textbook with code examples in python
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