as a key to broader knowledge understanding
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I held multiple State of the Arts (SotAs) in language modeling with minimal resources
(compared to Goog/FB/MSFT/...)
I genuinely want to help :)
Deep learning should feel intuitive
If it doesn't feel like that
- someone has explained it wrong (me!),
- a library or paper has overcomplicated it
- someone misunderstands it
(which is understandable!)
We as humans define the logic
We also hence decide what information flows from input to output
The flight from Sydney to New ____
We analyze a massive set of data and follow the patterns we've already seen
Machine Translation
p(strong tea) > p(powerful tea)
Speech Recognition
p(speech recognition) > p(speech wreck ignition)
Question Answering / Summarization
p(President X attended ...) is higher for X=Obama
Query Completion
p(Michael Jordan Berkeley) > p(Michael Jordan basketball)
Bob ate the ____
Zomicron ate the ____
Bob ate the ____
张伟 (Zhang Wei) ate the ____
<name> ate the ____
... but now we have a bajillion edge cases to try to capture ...
<name:male> was <verb:run> through the <city:Sydney> <street:plural>
A bajillion edge cases isn't sane for a human
... yet it's what we likely need to do well
Input: beds, baths, square feet
Logic:
N = X * bed + Y * bath + Z * footage
Output: N (approximate house price)
We now have weights {X, Y, Z}
"Learn" {X, Y, Z} to minimize the error
Logic:
X * bed + Y * bath + Z * footage
We don't set {X, Y, Z} ourselves
We use backpropagation to nudge them
(= fancy way of asking the eqn how best to change a parameter to reduce our error)
The computation is whatever we want
We don't care as long as our desired program is a subset of the possible computation
Typically a matrix multiplication
followed by an "activation function"
(allows for decisions to be made)
You don't need to understand specifics
State what you want in terms of
input, output, and the type of compute the model may use
"This seems ... overly simple?"
"Indeed it is - the scary thing is that the principle scales up. The same general tactics work for images, text, you name it..! Instead of three parameters though, I’m doing this over MILLIONS or BILLIONS of parameters. Backpropagation still works!"
A billion edge cases isn't sane for a human
... yet it's what we likely need to do well
So let's get the computer to do it :)
So what does this look like for LM?
First, let's think of our objective:
given previous word,
we want to predict the next word,
on repeat
We want a function akin to:
memory, next_word = f(current_word, memory)
So what does this look like for LM?
First, let's think of our objective:
given previous word,
we want to predict the next word,
on repeat
We want a function akin to:
memory, next_word = f(current_word, memory)
We define the architecture
(or equations the function may use)
We want each word to be represented by a vector, let's say 400 floating point numbers
Our "running memory" will also be
400 floating point numbers
Our model will learn the best value for each of those 400 numbers for all our words
Our model will learn what type of logic the functions should run to create and manipulate the hidden state (memory) to guess the
next word
Top: Output
Middle: Logic (Blue)
Bottom: Input
Embed:
Each word has a representation of 400 floating point numbers
words['The'] = [0.123, 0.621, ..., -0.9]
Recurrent Neural Network (RNN):
A function that takes two inputs,
word (400 numbers) and memory (400 numbers),
and produces two outputs (word and memory)
Recurrent Neural Network (RNN):
(h = hidden state, or our memory)
How do you start out the weights?
Random.
(Maybe pre-trained weights but that's later...)
Why is the RNN hidden state important?
It's how we pass along context
(i.e. you said "flew" a few words back and "New" right before this word)
As each word is added,
our hidden state (memory) changes
"... but now we have a bajillion edge cases to try to capture ..."
<name:male> was <verb:run> through the <city:Sydney> <street:plural>
The computer learned how to do those bajillion edge cases
from random numbers and context
Boss: Your objective is to collect links for a web crawler
Huzzah! I can do that!
How about I use ...
import requests
import re
data = requests.get('http://smerity.com/articles/2018/limited_compute.html').text
links = re.findall('<a href="([^"]+)">([^<]+)</a>', data)
Now is this wrong?
Not exactly.
What it does catch is correct.
It just misses oh so many edge cases ...
(= so much missed or lost context)
Now your boss, excited with your progress, asks you to extract text from the same webpages you just processed.
It should be easy, right..?
Answer: 😭
You go all in and write an RDP
(If you don't know what it is, you keep track of the opening and closing HTML tags)
Wait, boss, what text do you want? All text, including navigation? Only article text as if it were a news article? Sidebar text?
!?!?!??!?!
Now your boss, excited with your progress, asks you to convert that text to a Markdown equivalent.
Your answer: 😭
At least a butcher, baker, or candlestick maker have clear objectives
You've likely had to deal with some horrific code in your lifetime.
Now imagine having to deal with an entire
web worth of silly people...
The architecture of the Web has several languages in it - there's HTTP, there's HTML, URLs are a language, there's CSS, and there's the scripting language. They're all in there and at they can all be embedded in each other and they all have different quoting and escaping and commenting conventions. And they are not consistently implemented in all of the browsers. Some of them are not specified anywhere.
- Douglas Crockford (of Javascript and JSON)
"I've seen things you people wouldn't believe.
DDoSed servers on fire off the shoulder of Tumblr."
Why is the RNN hidden state important?
It's how we pass along context
(i.e. you said "flew" a few words back and "New" right before this word)
As each word is added,
our hidden state (memory) changes
We can introspect the RNN's hidden state
to guess the function of a given memory cell
This is the same "program" as trained on English - but this model was trained on C.
The model learns to capture the depth of an expression by performing LM'ing on C code.
Depth is exactly what we need for HTML.
How does hidden state change exactly?
Depends on everything.
The data, the input, the architecture, ...
Active area of research as we don't really know.
As each word is added,
our hidden state (memory) changes
Example: a few days ago a paper trying to work out how different RNNs count with their memory
Ask it to learn language modeling?
Your model learns counting as a sub-task
Forget a semicolon/bracket/closing tag/.../?
The LM will become uncertain
(we can measure the entropy)
and can even intelligently suggest
where you went wrong
Remember that at this stage the model has only one broad objective:
guess what comes next
Now add more objectives as you want
(mark <a href>, get text, remember if in <b> tag)
The model will learn how to balance objectives given the resources available and data seen
The team at OpenAI performed character level language modeling on Amazon reviews.
This is a single neuron.
An attention based model (i.e. pull information from words based on my word) learns anaphora resolution as part of translation
Translate between language A and B
without a single shared sentence
How?
Convert a sentence from A => B => A'
Ensure A == A'
Language models are implicit compression
I wrote a language model that was fast
and which achieved state of the art results.
I released the code open source.
It has been trained on dozens of other languages, serves as the basis of Github's Semantic Code Search, audio processing, bio-informatics, ...
The result depends on the substrate (data) and
what you put in (type/structure of compute)
It had no explicit English knowledge injected and few constraints to make it better work on English.
Hence, it is re-usable across data.
In deep learning you re-train the model and see what trade-offs have been made
"This bit is slow so why don't we try a
less powerful but faster part?"
"Wait ... it works just as well? O_o"
No-one knows how efficient it could be
or what knowledge we could extract
No-one has tried this in field / task X
A single GPU can beat a cluster
You don't need a deep theory background
New York Times (2012):
"How Many Computers to Identify a Cat?
16,000 (CPU cores)"
One year later: "three servers each with two quad-core CPUs and four Nvidia GeForce GTX 680 GPUs"
Neural Architecture Search:
"32,400-43,200 GPU hours"
Just over a year later:
"single Nvidia GTX 1080Ti GPU, the search for architectures takes less than 16 hours"
If this type of programming isn't introduced
in first year alongside functions and DBs,
we're doing students a disservice
The implementation is hard, the use is easy
I am not saying this due to the hype,
I am saying this due to how easy it can be
and what can be delivered with it