Consider the universe B = {0,1}d of length d bits strings. Define the Index Distance as...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the universe B = {0,1}d of length d bits strings. Define the Index Distance as d₂(x,y)= Σ i for all x, y = B. xi‡Yi For example, the 5-bit strings x = 01111 and y= = 10101 differ in bits 1, 2, and 4, so dƒ(x, y) = 1+2+4=7. Give a hash function which is locality sensitive with regards to the Index Distance. Remember to prove that it is locality sensitive. Give explicit values for both p₁ and på (these should only depend on r, c and d). Consider the universe B = {0,1}d of length d bits strings. Define the Index Distance as d₂(x,y)= Σ i for all x, y = B. xi‡Yi For example, the 5-bit strings x = 01111 and y= = 10101 differ in bits 1, 2, and 4, so dƒ(x, y) = 1+2+4=7. Give a hash function which is locality sensitive with regards to the Index Distance. Remember to prove that it is locality sensitive. Give explicit values for both p₁ and på (these should only depend on r, c and d).
Expert Answer:
Answer rating: 100% (QA)
To design a localitysensitive hash function with respect to the Index Distance dx y y we can use the ... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
Students also viewed these programming questions
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
Answer the three following questions regarding Gap analysis. Explain how the Integrated Development Model thats attached analysis process works? Explain how the model can be used to compare...
-
Draw isometric projection of the following figure 10 40 50 $30 Pg. 3 : 20
-
Derive the time-averaged x-momentum equation (6.21) by direct substitution of Eqs. (6.19) into the momentum equation (6.14), It is convenient to write the convective acceleration as
-
Suppose that the capital gains tax rate is expected to increase in 3 years. How would this affect PVP Ventures decision on whether PVP Ventures should use some of the company's excess cash to...
-
Ram Lal Sewa Samiti Ltd. purchased 30000 shares of Sippy and Sons Ltd. at a cost of Rs. 312 per share in the month of December 2005. It again purchased 30000 shares of the same company at a cost of...
-
Collettes S corporation holds a small amount of accumulated earnings and profits (AEP), requiring the use of a more complex set of distribution rules. Collettes accountant tells her that this AEP...
-
Name four characteristics of Force?
-
The MFG Corporation is planning to produce and market three different products. Let x1, x2, and x3 denote the number of units of the three respective products to be produced. The preliminary...
-
In a simple random sample of size 150, there were 90 individuals in the category of interest. You want to test Ho: p <= 0.5 versus Ha: p > 0.5. Compute the test statistic z. Find the critical t...
-
Suppose you rent a house next to a factory. The factory legally emits a chemical into the air that smells like feet. Now you have to spend $300 more per month on air fresheners because the company...
-
4.- Use the below contingency table to find the following probabilities. Republican Democrat Libertarian Christian 40 7 3 Muslim 8 30 12 Jews 25 15 10 (a) What is the probability that a randomly...
-
Sheridan Service sells oil at a markup of 31% of the selling price. Sheridan paid $0.87 per litre of oil (a) What is the selling price per litre? (b) What is the rate of markup based on cost? (a) The...
-
Research shows consumers are leery about sharing their private information with researchers for fear they will be harmed and their confidential information will be _______. Group of answer choices...
-
Actual personal spending in 2007 chained dollars was $1,002.3 billion in 2015 and $1,026.2 billion in 2016. In current dollars, it was $1,115.6 billion in 2015 and $1,153.5 billion in 2016. . Source:...
-
Note: This will be given a grade, please treat it as a Working Draft for your upcoming Project Plan, which will be worth 20% of your grade . The more work that you put into this assignment, the...
-
Let (X. A. p) be a measure space. Show that for any A,B A, we have the equality: (AUB)+(An B) = (A) + (B).
-
Find a feasible solution or determine that no feasible solution exists for the following system of difference constraints: X1 X2 < 1, X1 X4 < -4, 2, X2 X3 < 1. X2 - X5 < X2 X6 < 5, 10 , X3 X6 X4...
-
Show that we could change line 6 of INITIALIZE-PREFLOW to without affecting the correctness or asymptotic performance of the generic push relabel algorithm. 6 s.h = |G.V| 2
-
Suppose you are given a set S = {a 1 , a 2 , . . . ,a n } of tasks, where task a i requires p i units of processing time to complete, once it has started. You have one computer on which to run these...
-
You had planned to construct a series of eight traffic roundabouts in your town, with each roundabout costing $150,000. Your goal was to complete the project during the four (4) months of good...
-
Go to www.brighthubpm.com/monitoring-projects/51982-understanding-the-s-curve-theory-for-project-management-monitoring/ and read the article on the multiple uses of project S-curves. What does the...
-
Consider the following project information. The total budget is $36,000 and is expected to last six months. After four months, you have calculated the following information about the project: PV =...
Study smarter with the SolutionInn App