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1. Given a coin you don’t know it’s fair or unfair. Throw it 6 times and
get 1 tail and 5 head. Determine whether it’s fair or not. What’s your
confidence value?
2. Given Amazon data, how to predict which users are going to be top
shoppers in this holiday season.
3. Which regression methods are you familiar? How to evaluate regression
result?
4. Write down the formula for logistic regression. How to determine the
coefficients given the data?
5. How do you evaluate regression?
For example, in this particular case:
item click-through-rate predicted rate
1 0.04 0.06
2 0.68 0.78
3 0.27 0.19
4 0.52 0.57
…
6. What’s the formula for SVM? What is decision boundary?
7. A field with unknown number of rabbits. Catch 100 rabbits and put a label
on each of them. A few days later, catch 300 rabbits and found 60 with
labels. Estimate how many rabbits are there?
8. Given 10 coins with 1 unfair coin and 9 fair coins. The unfair coin has &
#8532; prob. to be head. Now random select 1 coin and throw it 3 times. You
observe head, head, tail. What’s the probability that the selected coin is
the unfair one?
9. What’s the formula for Naive Bayesian classifier? What’s the assumption
in the formula? What kind of data is Naive Bayesian good at? What is not?
10. What is the real distribution of click-through rate of items? If you
want to build a predictor/classifier for this data, how do you do it? How do
you divide the data?
11. You have a stream of data coming in, in the format as the following:
item_id, views, clicks, time
1 100 10 2013-11-28
1 1000 350 2013-11-29
1 200 14 2013-11-30
2 127 13 2013-12-1
…
The same id are consecutive.
Click through rate = clicks / views.
On every day, I want to output the item id when its click through rate is
larger than a given threshold.
For example, at day 1, item 1’s rate is 10/100=10%, day2, its (10+350)/(100
+1000)=0.32. day3 it is (10+350+14)/(100+1000+200)=0.28.
If my threshold is 0.3, then at day 1, I don’t output. On day2 I output. On
day3, I don’t output.
11. Given a dictionary and a string. Write a function, if every word is in
the dictionary return true, otherwise return false.
12. Generate all the permutation of a string.
For example, abc, acb, cba, …
13. We want to add a new feature to our product. How to determine if people
like it?
A/B testing. How to do A/B testing? How many ways? pros and cons?
14. 44.3% vs 47.2% is it significant?
15. Design a function to calculate people’s interest to a place against the
distance to the place.
16. How to encourage people to write more reviews on Yelp? How to determine
who are likely to write reviews? How to increase the registration rate of
Yelp? What features to add for a better Yelp app? We are expanding to other
countries. Which country we should enter first?
17. What’s the difference between classification and regression?
18. Can you explain how decision tree works? How to build a decision tree
from data?
19. What is regularization in regression? Why do regularization? How to do
regularization?
20. What is gradient descent? stochastic gradient descent?
21. We have a database of <product_id, name, description, price>. When user
inputs a product name, how to return results fast?
22. If user gives a budget value, how to find the most expensive product
under budget? Assume the data fits in memory. What data structure, or
algorithm you use to find the product quickly? Write the program for it.
23. Given yelp data, how to find top 10 restaurants in America?
24. Given a large file that we don’t know how many lines are there. It
doesn’t fit into memory. We want to sample K lines from the file uniformly.
Write a program for it.
25. How to determine if one advertisement is performing better than the
other?
26. How to evaluate classification result? What if the results are in
probability mode?
If I want to build a classifier, but the data is very unbalanced. I have a
few positive samples but a lot of negative samples. What should I do?
27. Given a lot of data, I want to random sample 1% of them. How to do it
efficiently?
28. When a new user signs up Pinterest, we want to know its interests. We
decide to show the user a few pins, 2 pins at a time. Let the user choose
which pin s/he likes. After the user clicks on one of the 2, we select
another 2 pins.
Question: how to design the system and select the pins so that we can
achieve our goal?
29. Write a function to compute sqrt(X). Write a function to compute pow(x,
n) [square root and power)
30. Given a matrix
a b c d
e f g h
i j k l
Print it in this order:
a f k
b g l
c h
d
e j
i
31. Given a matrix and an array of words, find if the words are in the
matrix. You can search the
matrix in all directions: from left to right, right to left, up to down,
down to up, or diagonally.
For example
w o r x b
h e l o v
i n d e m
then the word “world” is in the matrix.
32. Given a coordinates, and two points A and B. How many ways to go from A
to B? You can only move up or right.
For example, from (1, 1) to (5, 7), one possible way is 1,1 -> 2, 1… 5, 1 -
> 5,2 -> ..5, 7
33. In a city where there are only vertical and horizontal streets. There
are people on the cross point. These people want to meet. Please find a
cross point to minimize the cost for all the people to move.
34. Design a job search ranking algorithm on glassdoor
35. How to identify review spam?
36. Glassdoor has this kind of data about a job : (position, company,
location, salary). For example (Software Engineer, Microsoft, Seattle, $125K
). For some records, all four entires are available. But for others, the
salary is missing. Design a way to estimate salary for those records.
37. When to send emails to users in a day can get maximum click through rate?
38. Youtube has video play log like this:
Video ID, time
vid1 t1
vid2 t2
... ...
The log is super large.
Find out the top 10 played videos on youtube in a given week.
39. Write a program to copy a graph
40. A bank has this access log:
IP address, time
ip1 t1
ip2 t2
... ...
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