Hi

I have billions of nodes labelled Profile (:Profile {member_id, name, 
gender}) from which I need to compute Jaccard index between them & create a 
similarity relationship and assign the index as property.
There are Contact relationship between Male profile node to Female profile 
node and vice versa.

**Below is the CQL :**
Indexed gender.

MATCH (u1:Profile {gender:"Male"}), (u2:Profile {gender:"Male"}) WHERE u1 
<> u2
MATCH (u1)-[:CONTACTED]->(u3:Profile {gender:"Female"})<-[:CONTACTED]-(u2) 
WITH u1, u2, count(u3.member) as intersect
MATCH (u1)-[:CONTACTED]->(u1_f:Profile {gender:"Female"}) WITH u1, u2, 
intersect, collect(DISTINCT u1_f.member) AS coll1
MATCH (u2)-[:CONTACTED]->(u2_f:Profile {gender:"Female"}) WITH u1, u2, 
collect(DISTINCT u2_f.member) AS coll2, coll1, intersect
WITH u1, u2, intersect, coll1, coll2, length(coll1 + filter(x IN coll2 
WHERE NOT x IN coll1)) as union
Where (1.0*intersect/union) > 0
CREATE Unique (u1)-[:SIMILARITY {score: (1.0*intersect/union)}]-(u2);

If I execute this with a limit of 5 it takes approx 5mins to yield the 
results which is not feasible at all. **What can I do to speed up the 
execution time as this is an important part of my project?**

I thought something like below would work but it made it worse.

Created a constraint on member.

LOAD CSV WITH HEADERS FROM "file:{path_to_csv}/member_to_member.csv" AS row
MATCH (u1:Profile {member: row.sentby}), (u2:Profile {gender:"Male"}) WHERE 
u1 <> u2 AND row.status = "Contacted" AND row.sentbygender = "Male"
MATCH (u1)-[:CONTACTED]->(u3:Profile {member: 
row.recdby})<-[:CONTACTED]-(u2) WITH row, u1, u2, count(u3.member) as 
intersect
//WHERE intersect>0
MATCH (u1)-[:CONTACTED]->(u1_f:Profile {member: row.recdby}) WITH row, u1, 
u2, intersect, collect(DISTINCT u1_f.member) AS coll1
MATCH (u2)-[:CONTACTED]->(u2_f:Profile {member: row.recdby}) WITH row, u1, 
u2, collect(DISTINCT u2_f.member) AS coll2, coll1, intersect
WITH u1, u2, intersect, coll1, coll2, length(coll1 + filter(x IN coll2 
WHERE NOT x IN coll1)) as union
return u1.member, u2.member, (1.0*intersect/union) as score limit 5;

*member_to_member.csv*

sentby,sentbygender,recdby,recdbygender,date_of_contact,status
OSH34878034,Male,angella,Female,2013-11-12,Contacted
OSH34878034,Male,AnshuSharma,Female,2013-11-12,Contacted
OSH34878034,Male,GSH26933499,Female,2013-11-12,Contacted
OSH34878034,Male,4SH00112696,Female,2013-11-12,Contacted
OSH34878034,Male,0308heinz,Female,2013-11-12,Contacted
OSH34878034,Male,8SH93301323,Female,2013-11-12,Contacted
OSH34878034,Male,098w,Female,2013-11-12,Contacted

Source : 
http://www.lyonwj.com/twizzard-a-tweet-recommender-system-using-neo4j/

Note: Above query is only to find Male -> Male similarity

Thanks

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