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Extracting	Hierarchies	of	Search	Tasks	&	
Subtasks
via	a	Bayesian	Nonparametric	Approach
Rishabh	Mehrotra,	Emine Yilmaz
9th August	2017,	Tokyo,	Japan
Introduction
Search	is	
omnipresent!
Introduction
Search	is	omnipresent…
Understanding	users’	
needs	is	hard!
Use	Case:	Search	Engines
• Simple	Tasks
• Complex	Tasks
Need	for	search	arises	from	real	world	task!
What	is	a	Task?	
• A	search	task	is	an	atomic	information	need	resulting	in	one	or	more	
queries	[Jones	and	Klinkner,	CIKM	'08]
• Complex	search	task:	A	set	of	related	information	needs,	resulting	in	
one	or	more	(possibly	complex)	tasks.
Credit
check
House buying
guide …
Houses
for sale
Loans for
house
17:00pm 17:02pm 17:06pm 18:15pm
Session 1 Session 2
Improve
credit
score
18:25pm
Why	Tasks?
Extracting	Search	Tasks:	Prior	Work
Clustering	session	based	queries	[WSDM'11]
Extracting	Search	Tasks:	Prior	Work
q
1
q
2
q
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q
4
q
6
q
5
q
1
q
2
q
3
q
4
q
6
q
5
q
0
Latent!
Clustering	session	based	queries	[WSDM'11] Structured	Learning	Approach	[WWW'13]
Extracting	Search	Tasks:	Prior	Work
q
1
q
2
q
3
q
4
q
6
q
5
q
1
q
2
q
3
q
4
q
6
q
5
q
0
Latent!
Clustering	session	based	queries	[WSDM'11] Structured	Learning	Approach	[WWW'13]
Hawkes	Process	based	Task	Extraction	[KDD'14]
Extracting	Search	Tasks:	Prior	Work
q
1
q
2
q
3
q
4
q
6
q
5
q
1
q
2
q
3
q
4
q
6
q
5
q
0
Latent!
Clustering	session	based	queries	[WSDM'11] Structured	Learning	Approach	[WWW'13]
Hawkes	Process	based	Task	Extraction	[KDD'14] dd-CRPs	for	extracting	subtasks	[NAACL’16]
Extracting	Search	Tasks:	Prior	Work
Problems:
• Link query to on-going task = long chains
• impure tasks
• Rely on large corpus of pre-tagged queries
• Do not aggregate across users
• Tasks are not necessarily flat-structures
• complex tasks decompose into sub-tasks
Extracting	Tasks	&	Subtasks
Goal:
Extract	hierarchies	of
search	tasks	&	sub-tasks
Hierarchies	of	Tasks	&	Subtasks
• Search	tasks	tend	to	be	hierarchical	in	nature
Constructing	Task	Hierarchies
• Most	previous	work	represents	tasks	as	flat	structures
• One	possibility:	Hierarchical	clustering	methods
• No	guide	on	the	correct	number	of	clusters
• Most	construct	binary	tree	representations	of	data
• Need	models	that	can	represent	trees	with	arbitrary	branches
• Complexity	is	a	major	problem
Hierarchical	Task	Extraction
Bayesian	non-parametric	approach
• Bayesian	Rose	Trees	[UAI’10,	NIPS’13]
• Represents	a	set	of	partitions	of	the	data		(recursively)
• Build	upon	Bayesian	Rose	Trees
• Each	node	of	the	tree	corresponds	to	a	task
• Each	task	represented	by	a	set	of	queries
Hierarchical	Task	Extraction
• Build	upon	Bayesian	Rose	Trees
• Each	node	of	the	tree	corresponds	to	a	task
• Each	task	represented	by	a	set	of	queries
• Goal:	Find	the	tree	structure	that	maximizes	
åÎ
=
)()(
))(|())(()|(
TPartT
TQpTpTQp
f
ff
Hierarchical	Task	Extraction
Mixture	over	
partitions	of	
data	points
• Build	upon	Bayesian	Rose	Trees
• Each	node	of	the	tree	corresponds	to	a	task
• Each	task	represented	by	a	set	of	queries
• Goal:	Find	the	tree	structure	that	maximizes	
• Number	of	partitions	consistent	with	T	can	be	exponentially	large
• Approximate	using	dynamic	programming:
åÎ
=
)()(
))(|())(()|(
TPartT
TQpTpTQp
f
ff
Hierarchical	Task	Extraction
Likelihood	of	queries	
belong	to	same	task
)|)(()1()()|(
)(
ii
TchT
TTT TTleavespQfTQP
i
ÕÎ
-+= pp
Mixture	over	
partitions	of	
data	points
Data	Likelihood:	Query	to	Query	Affinity
r1:	Query	term	based	affinity
• Lexical	similarity	between	
queries
r2:	URL	based	affinity
• Similarity	between	the	returned	
URLs
r3:	User/Session	based	affinity
• Query	co-occurrence	in	the	
same	session
Õ å å
=
= Î Î
=
3
1 ||...1 ||...1
, ),|()(
k
k Qi Qj
kkqq
k
jirpQf ba
• Initially:	The	forest	contains	a	single	tree	for	each	query
Hierarchical	Task	Extraction
• Initially:	The	forest	contains	a	single	tree	for	each	query
• At	each	step,	pick	a	pair	of	trees	in	the	forest	to	be	merged
• Three	types	of	merging	operations
Hierarchical	Task	Extraction
• Initially:	The	forest	contains	a	single	tree	for	each	query
• At	each	step,	pick	a	pair	of	trees	in	the	forest	to	be	merged
• Three	types	of	merging	operations
• Which	trees	&	how	to	merge:
• Those	which	gives	the	highest	Bayes	Factor
improvement
•
)|()|(
)|(
JQpIQp
MQp
JI
M
Hierarchical	Task	Extraction
• Initially:	The	forest	contains	a	single	tree	for	each	query
• At	each	step,	pick	a	pair	of	trees	in	the	forest	to	be	merged
• Three	types	of	merging	operations
• Which	trees	&	how	to	merge:
• Those	which	gives	the	highest	Bayes	Factor
improvement
• Tree	Pruning:
• node	that	represents	a	coherent	task	should	not	be	split	further
• Prune	trees	based	on	task	coherence
)|()|(
)|(
JQpIQp
MQp
JI
M
)()(
),(
log),(
21
21
21
wpwp
wwp
wwPMI =
Hierarchical	Task	Extraction
• Experiment	1:	Search	task	identification
• Experiment	2:	Crowd-sourced	evaluation	of	hierarchy
• Experiment	3:	Term	prediction	application
Baselines:
1. Bestlink-SVM
2. QC-WCC/QC-HTC
3. LDA-Hawkes
4. LDA-TW
5. Jones	hierarchy
6. BHCD:	Bayesian	Hierarchical	Community	Detection
7. Bayesian	agglomerative	clustering
Experimental	Evaluation
Task	extraction	baselines
Hierarchical	model	baselines
• Pairwise	precision/recall:
• LDA-TW	performs	worst
• Too	strong	assumptions	on	queries	belonging	to	
same	task
• Gains	over	QC-HTC/WCC
• Query	affinities	can	better	reflect	semantic	
relationships
Experimental	Evaluation	– I
[Search	Task	Identification]
Flattened	version	of	hierarchy	is	useful	too!
• Evaluating	task	coherence:
• Task	Relatedness:	Randomly	pick	2	queries	from	a	task,	and
get	judgments	for	task	relatedness
• Evaluating	the	hierarchy:
• Valid hierarchy:
• parent	task	~	higher	level	task
• children	tasks	~	more	focused	subtasks
• Useful hierarchy:
• Is	the	subtask	useful	in	completing	the
overall	search	task?
Experimental	Evaluation	– II
[Hierarchy	Quality	Evaluation]
Extracts	tasks-subtasks	which	are	Valid	&	Useful	and	have	Related subtasks.
• Indirect	evaluation	based	on	term	
prediction
1. Construct	hierarchy
2. Map	to	correct	node	in	the	hierarchy
3. Leverage	node	queries	for	term	prediction
• Assumption: identifying	good	tasks	should	
help	in	predicting	future	queries
• Intersection	of	TREC	Session	track	&	AOL	
log	data
Experimental	Evaluation	– III
[Term	Prediction]
Outperforms	flat-task	extraction	techniques	as	well	as	hierarchical	baselines
• Hierarchies	provide	a	more	naturalistic	view	of	complex	tasks
• Bayesian	non-parametric	approach	for	hierarchy	extraction
• Coherence based	pruning	helps	identify	atomic	tasks
• Richer	&	more	expressive	models	of	tasks
• Valid,	useful	hierarchy	with	related	subtasks
Take-Home	Message
CAIR	Workshop	talk
on	Friday
Thank	You!
Rishabh	Mehrotra
PhD	candidate	@	UCL
http://rishabhmehrotra.com
@erishabh
r.mehrotra@cs.ucl.ac.uk
Summary:
- Naturalistic	view	of	tasks-subtasks
- Nonparametric	approach	
- Coherence	pruning	helps
- Richer	&	more	expressive
Future	Work:
- Evaluation	techniques	for	hierarchies
- Mapping	to	correct	level	in	hierarchy
- Subtask	sequences	&	transitions

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