1.3 Six Elements of ML

A defining framework for understanding concepts in the course

Recap: Machine Learning

What we saw in the previous chapter?

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Repeat the last slide of the previous chapter

A jargon cloud

How do you make sense of all the jargon?

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From jargons to jars

What are the six jars of Machine Lerarning

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Data data everywhere

What is the fuel of Machine Learning?

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Data data everywhere

How do you feed data to machines ?

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We encode all data into numbers - typically high dimension

For instance, in this course you will learn to embed image and text data as large vectors

Data entries are related - eg. given a MRI scan whether there is a tumour or not

 

Include a table that shows two/three MRI scans in first col, shows large vectors in second column, 1/0 for last column of whether there is tumour or not

 

Include a table that shows two/three reviews in first col, shows large vectors in second column, 1/0 for last column for whether review is positive or negative

 

Title the columns as x and y

Input-1 Input-2 Input-3 Input-4 y
2.3 5.9 11.0 -10.3 0
-8.5 -1.7 -1.3 9.0 0
12.3 5.4 3.4 2.4 1
1.9 7.9 8.1 -3.3 1
-9.1 1.2 -2.1 7.8 0
3.2 -11.2 5.6 12.1 1
4.5 3.75 -1.2 -10.0 1

Data data everywhere

How do you feed data to machines ?

(c) One Fourth Labs

We encode all data into numbers - typically high dimension

For instance, in this course you will learn to embed image and text data as large vectors

Data entries are related - eg. given a MRI scan whether there is a tumour or not

 

Include a table that shows two/three MRI scans in first col, shows large vectors in second column, 1/0 for last column of whether there is tumour or not

 

Include a table that shows two/three reviews in first col, shows large vectors in second column, 1/0 for last column for whether review is positive or negative

 

Title the columns as x and y

Input-1 Input-2 Input-3 Input-4 y
4.3 5.9 1.0 13.2 Positive
-9.5 1.7 1.3 9.2 Positive
2.3 5.4 3.8 2.9 Negative
19.1 8.9 8.2 -3.3 Positive
-9.2 11.2 -12.1 1.8 Positive
4.5 -11.2 4.6 2.1 Negative
12.2 -3.8 0.2 -1.0 Negative

Data data everywhere

How do you feed data to machines ?

(c) One Fourth Labs

We encode all data into numbers - typically high dimension

For instance, in this course you will learn to embed image and text data as large vectors

Data entries are related - eg. given a MRI scan whether there is a tumour or not

 

Include a table that shows two/three MRI scans in first col, shows large vectors in second column, 1/0 for last column of whether there is tumour or not

 

Include a table that shows two/three reviews in first col, shows large vectors in second column, 1/0 for last column for whether review is positive or negative

 

Title the columns as x and y

1.3 -4.3 2.1 -6.7 ... 1.5 8.9 10.1 -4.5
2.6 7.9 -0.3 8.1 ... -4.2 0.3 -11.2 9.4
-5.2 -3.2 4.2 0.3 ... 3.5 8.3 -1.4 -8.7
8.5 2.1 -6.3 5.3 ... 7.2 -1.3 -4.5 11.8
2.3 -5.6 -1.2 7.8 ... 9.9 10.1 -12.1 3.5

Data curation

Where do I get the data from?

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Source data from existing datasets

- Google datasets

- Mitesh link on datasets

- data.gov.in, etc. => Assignment: Go check out this website and formulate ML problems

 

Collect data yourself/others => Dataturks => Assignment: create a project, upload 5 images of sign boards, and ask five friends to label

- Take pictures of Indian dishes

- Labelling of data 

 

Create data specific to your problem

- Also in capstone

Data data everywhere

What is the fuel of Machine Learning?

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Show data jars

Tasks

What do you do with this data?

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Consider the case of Amazon with product data

 

Multiple tasks can be done with this: 

1. From product description to structured specs

2. From specs + reviews to writing FAQs

3. From specs + reviews + FAQs to question answering

4. From specs + reviews + personal data to recommendations

 

 

Tasks

What do you do with this data?

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Consider the case of Facebook photos

 

Multiple tasks can be done with this: 

1. From photos identify people, places, activities

2. From posts + personal data recommend posts

3. From video detect profanity, etc. 

 

 

 

Tasks

What do you do with this data?

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Different types of tasks: 

1. Supervised

- Classification - text or no text

- Regression - fitting bounding boxes (more later) 

2. Unsupervised

- Clustering - clustering news articles by similarity

- Generation - deep art, deep poetry

 

Most of the realworld ML tasks (90%) are supervised. This course will exclusively focus on this class of problems. Except for easter eggs. 

In supervised ML it is about finding y given x

Tasks

What do you do with this data?

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In the dataturks labelled data, define tasks that you can perform. At least 3

 

// Binary classification of whether there is text

// Detect text with bounding box - is accuracy easy to define here?

Tasks

What do you do with this data?

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Show data, tasks jars

What is the mathematical formulation of a task?

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\( x \)

\( y \)

bat

car

dog

cat

Models

\( \left[\begin{array}{lcr} 0.2, 0.1, 0.7, ......0.8 \end{array} \right]\)

\( \left[\begin{array}{lcr} 0, 0, 1,0 \end{array} \right]\)

Now show cat, then car then ship, then dog again and keep growing the matrix

\( y  = f(x) \) [true relation, unknown]

\( \hat{y}  = \hat{f}(x) \) [our approximation]

Models

What are the choices for \( \hat{f} \) ?

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- Show some points sampled from this function

- Say that there is some complex relation between x

- Naively I assumed that its y=mx + c

- no matter how I adjust m and c I can't make f and \( \hat{f} \) equal

- Let's try net function...better...better better

\( y  = mx + c \) 

\( y  = ax^2 + bx + c \) 

\( y  = \sigma(wx + b) \) 

\( y  = AlexNet(x) \) 

\( y  = \hat{f}(x) \) [our approximation]

\( \left [\begin{array}{lcr} 0.2\\ 0.1\\ 0.7\\ ....\\0.8 \end{array} \right]\)

\( \left [\begin{array}{lcr} 2.2\\ 3.1\\ 0.7\\ ....\\4.8 \end{array} \right]\)

\( x \) 

\( y \) 

\( y  = ax^3 + bx^2 + cx + d \) 

\( y  = ax^4 + bx^3 + cx + d \) 

Models

Why not just use a complex model always ?

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\( \left [\begin{array}{lcr} 0.2\\ 0.1\\ 0.7\\ ....\\0.8 \end{array} \right]\)

\( \left [\begin{array}{lcr} 0.4\\ 0.2\\ 1.4\\ ....\\1.6 \end{array} \right]\)

\( x \) 

\( y \) 

This will be replaced by a simple line 

 

We will show animation how it will be easy to fit a line but difficult to fit 100 degree polynomial

\( y  = mx + c \) [true function, simple]

\(y = ax^{100} + bx^{99} + ... + c \) [our approximation, very complex]

  • Overkill
  • Harder to Learn
  • Need More data

Models

What are the choices for \( \hat{f} \) ?

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Add model jar

Loss Function

How do we know which model is better ?

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\( \left [\begin{array}{lcr} 0.2\\ 0.1\\ 0.7\\ ....\\0.8 \end{array} \right]\)

\( \left [\begin{array}{lcr} 0.4\\ 0.2\\ 1.4\\ ....\\1.6 \end{array} \right]\)

\( x \) 

\( y \) 

\( \hat{f_1}(x)  = ax^2 + bx + c \) 

\( \hat{f_2}(x)  = ax^3 + bx^2 + cx + d \) 

\( \hat{f_3}(x)  = ax^4 + bx^3 + cx + d \) 

?

Show plots for true f and f_1 f_2 f_3... From the plots it will not be clear

 

but from the columns it will be clear

 

why is it clear? because you are computing some numbers

\( y_1 \) 

\( y_2 \) 

\( y_3 \) 

Loss Function

What does a loss function look like ?

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\( \left [\begin{array}{lcr} 0.2\\ 0.1\\ 0.7\\ ....\\0.8 \end{array} \right]\)

\( \left [\begin{array}{lcr} 0.4\\ 0.2\\ 1.4\\ ....\\1.6 \end{array} \right]\)

\( x \) 

\( y \) 

\( \hat{f_1}(x)  = ax^2 + bx + c \) 

\( \hat{f_2}(x)  = ax^3 + bx^2 + cx + d \) 

\( \hat{f_3}(x)  = ax^4 + bx^3 + cx + d \) 

?

Show squared error loss

 

 

compute the error for y_1, y_2, y_3

 

Indeed y_2 seems to be the better model

\( y_1 \) 

\( y_2 \) 

\( y_3 \) 

Loss Function

What does a loss function look like ?

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Add jar for loss function and have a recap

 

Who will give us the parameters ?

Learning Algorithm

How do we identify parameters of the model?

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Show data on LHS

 

A box for learning on the RHS

 

A complex model equation on top of the box

 

Loss function at the bottom of the box 

 

 

In Plain English:

 

Say that this is a search problems

 

Simplest algorithm is to use brute force on this 3-dimensional parameter space

 

But now imagine what happens if you have more than 3 parameters!

Learning Algorithm

How do we identify parameters of the model?

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Show data on LHS

 

A box for learning on the RHS

 

A complex model equation on top of the box

 

Loss function at the bottom of the box 

 

 

In Plain English:

 

We want to find the parameters a, b, c such that when we plugin a x into the f(x) the output should be as close to the true output

Mathematically,

 

Optimization problem 

 

Minimization function

Learning Algorithm

How do we identify parameters of the model?

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Show data on LHS

 

A box for learning on the RHS

 

A complex model equation on top of the box

 

Loss function at the bottom of the box 

 

 

Now show images of Gradient Descent, Adam, Adagrad, etc. with citations

Learning Algorithm

How do we identify parameters of the model?

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Add jar for Learning Algorithm

 

 

Evaluation

How do we compute a score for our ML model?

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Show a matrix for x and y

 

Now add a matrix y for model predictions

 

Now show ticks and crosses and show we can compute accuracy (show formula)

 

End by saying that there are other metrics such as precision, recall, etc.

 

Standard evaluation (example ImageNet)

 

Evaluation

What are some other evaluation metrics

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Show a matrix for x and y

 

Now add a matrix y for model predictions which is a ranked list

 

Now show ticks and crosses for top-1, top-5

 

End by saying that there are other metrics such as precision, recall, etc.

 

Standard evaluation (example ImageNet)

 

Evaluation

How is this different from loss function ?

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Task is whether I should press the brake or not. I just want to know how many times I did this correctly

 

But to train the model I might choose to use the distance form the obstruction as a metric for training the model.

 

Evaluation

Should we learn and test on the same data?

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Does it make sense to have same question as homework and exam. Why not?


This can over-estimate your performance


For an unbiased evaluation, test data should be different from train data


Typically split 80:20

Evaluation

How is this different from loss function ?

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Add jar for evaluation

Putting it all together

How does all the jargon fit into these jars?

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Show six jars

Data, democratisation, devices

Why ML is very successful?

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Show six jars

 

Rapid progress and revolution in algorithms which have been democratized

 

Standardized evaluation, learning, loss, models

 

Standardize frameworks

 

You focus on getting data and formulating tasks

Typical ML effort

How to distribute your work through the six jars?

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Show six jars

Connecting to the Capstone

How to distribute your work through the six jars?

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- Data curation, labelling

- Task identification

- Model selection

- Formulating loss function

- Learning algorithm with bag of tricks

- Evaluation

Assignment

How do you apply the six jars to a problem that you have encountered?

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Explain the problem

Give link to the quiz

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