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laplace-mechanism-and-randomized-response's Introduction

Exercise1

Compare Randomized Response and Laplace Mechanism

1. Datasset Source: Adult dataset

2 .Query: Threshold Query:

To find how many adult whos income are <= 50k and education number > 13

3. Goal:

Use graph to show the difference between Laplace Mechanism and Randomized Response. In normal case, the Laplace result will be better than Randomized Respose result.

Test

python exercise1/exercise_1.py

Result

N = 1000, Epsilon = 0.5, BETA = 0.05. As you can see, the the spots inLaplace are closer with each others spot than Randomized Respose.

Test

screen shot 2018-11-01 at 1 54 52 am

Exercise2

Compare

  1. Exponatial Mechnism
  2. Report One-sided Noisy Arg-max algorithm
  3. Randomized Response
  4. Laplace Mechanism

Test

python exercise2/exercise_2.py

Result

N = 1000, Epsilon = 0.5, BETA = 0.1 with Exponatial Mechanism

1. Probibility

screen shot 2018-11-01 at 3 45 45 am

2. Private Loss Histogram

screen shot 2018-11-01 at 3 45 52 am

3. Accuracy

screen shot 2018-11-01 at 3 46 01 am

laplace-mechanism-and-randomized-response's People

Contributors

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