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Learning to Rank
Overview
Introduction of machine learning algorithms 

for ranking problem
Outline
• Introduction

• Ranking Methods

• Supervised Methods

• Numeric Methods

• Practical Issues
I want top php engineers
I want top php engineers
How to decide an order for these developers?
Ranking Everywhere
• Article ranking in community search page

• Article Infinite Scroll

• Once the article opened, how to decide next 10 articles we recommend

• Applicant Quality Score

• How to select top quality applicants to review first

• Codementor Request Matching

• …
Native Ranking System
Native Ranking Methods
• The ranking expression is human experience

• Need many time to tuning models

• Hard to scale out if number of features increases

• Overfitting problem

• Is it possible to use machine learning to solve ranking
problem?
Learning to Rank System
Supervised Methods
Methods
Pointwise Approach
5
3
5
2
4 2
1
Methods
Pointwise Approach
5 5 4 3 2 2 1

Top Low
Methods
Pointwise Approach
• Model Complexity: O(|q|*n_q)

• |q|: number of queries

• n_q: number of matched documents of query q

• Algorithms

• SVM, McRank, SLR …
Methods
Pointwise Approach
• Pros

• Easy and intuitive to implement

• Fast modeling

• Cons

• Cannot consider ordering

• Labeling is hard
Methods
Pairwise Approach
>
>
>
>
>
>
Methods
Pairwise Approach
Top Low
> > > > > >
Methods
Pairwise Approach
• Model Complexity: O(|q| * n^2)

• Algorithms

• RankNet, IR-SVM, RankBoost
Methods
Pairwise Approach
• Pros

• Consider relative order

• Most popular concept in real world

• Cons

• Need to generate O(n^2) tags, high cost

• Not consider the relevance between query and
document
Numerical Methods
Methods
Listwise Approach
Top Low
Methods
Listwise Approach
Top Low
Which one is better ordering?
Methods
Listwise Approach
Best Order
One of the orders
Measure the difference with
best orders
Methods
Listwise Approach
• Model Complexity: O(|q| * n!)

• Many researches focus on reducing model complexity
by numerical methods

• Algorithms

• AdaRank, ListNet, SVM-MAP …
Methods
Listwise Approach
• Pros

• Consider all situations

• Based on the origin problem definition

• Cons

• O(n!) permutations (hard to implement and time bound)

• Hard to optimize (objective functions not always
continuous)
Practical Issues
• What is the objective metrics we pursue?

• How to generate labels?

• Cold-start problem
Objective Metrics
• Based on application

• Search

• Most page views

• Click Through Rate (CTR)

• CMX Job match

• Contract Conversion Rate (CCR)

• Interview Conversion Rate (ICR)
Labeling Problem
• How to label data if we have nothing

• Small dataset - human labeling is ok

• Large dataset 

• Semi-supervised learning 

• Matrix factorization
Labeling Problem
Semi-supervised
Iterative training with
relevance Labels

• Rule-based models

• Human ranking expressions
Train
Model
Predict
Scoring
Labeling Problem
Semi-supervised
Pseudo Labeling
Labeling Problem -
Matrix Factorization
• When data size is large, we can label part of pairs 

P1 P2 P3 P4 P5
Php 1 2 5 ? 5
React 4 ? 1 3 1
Javascript 3 5 ? 1 ?
Lavarel ? 1 4 ? 5
Cold-start Problem
• Occurs in using some online metrics as features

• Click count

• View count

• How to handle new items?

• Find similar items based on static features
Reference
• Ranking

• http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.222.6261&rep=rep1&type=pdf

• http://www.shuang0420.com/2016/10/25/Search%20Engines%E7%AC%94%E8%AE%B0%20-
%20Learning%20to%20Rank/

• http://net.pku.edu.cn/~wbia/2011/slides/LEARNING%20TO%20RANK%20TUTORIAL%20-
%20tyliu.pdf

• https://people.cs.umass.edu/~jpjiang/cs646/16_learning_to_rank.pdf

• Semi-supervised learning techniques

• https://www.analyticsvidhya.com/blog/2017/09/pseudo-labelling-semi-supervised-learning-technique/

• https://datawhatnow.com/pseudo-labeling-semi-supervised-learning/

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