From fb5875be1a875c68ddb3e23346d6c5229a30b99e Mon Sep 17 00:00:00 2001 From: Diogo Peralta Cordeiro Date: Sun, 5 Jun 2022 17:56:30 +0100 Subject: [PATCH] hierarchies --- README.md | 43 ++++++++++++++++++ coding-model/hierarchies/age/age.ahs | Bin 0 -> 2339 bytes coding-model/hierarchies/age/age.png | Bin 0 -> 25050 bytes .../hierarchies/education/education-num.ahs | Bin 0 -> 2105 bytes .../hierarchies/education/education-num.png | Bin 0 -> 22633 bytes .../hierarchies/education/education.ahs | Bin 0 -> 2097 bytes .../hierarchies/education/education.png | Bin 0 -> 90325 bytes .../marital-status/marital-status.ahs | Bin 0 -> 2021 bytes .../marital-status/marital-status.png | Bin 0 -> 24045 bytes coding-model/hierarchies/occupation.png | Bin 0 -> 24908 bytes coding-model/hierarchies/race.png | Bin 0 -> 7537 bytes .../hierarchies/relationship/relationship.ahs | Bin 0 -> 1919 bytes .../hierarchies/relationship/relationship.png | Bin 0 -> 12943 bytes coding-model/hierarchies/sex.png | Bin 0 -> 3357 bytes report.pdf | Bin 53487 -> 268023 bytes 15 files changed, 43 insertions(+) create mode 100644 coding-model/hierarchies/age/age.ahs create mode 100644 coding-model/hierarchies/age/age.png create mode 100644 coding-model/hierarchies/education/education-num.ahs create mode 100644 coding-model/hierarchies/education/education-num.png create mode 100644 coding-model/hierarchies/education/education.ahs create mode 100644 coding-model/hierarchies/education/education.png create mode 100644 coding-model/hierarchies/marital-status/marital-status.ahs create mode 100644 coding-model/hierarchies/marital-status/marital-status.png create mode 100644 coding-model/hierarchies/occupation.png create mode 100644 coding-model/hierarchies/race.png create mode 100644 coding-model/hierarchies/relationship/relationship.ahs create mode 100644 coding-model/hierarchies/relationship/relationship.png create mode 100644 coding-model/hierarchies/sex.png diff --git a/README.md b/README.md index 69805e0..a5c264a 100644 --- a/README.md +++ b/README.md @@ -33,22 +33,28 @@ Attribute | Classification Table: Attribute classifications + ## Justifications The vast majority of attributes present low values of distinction. This is consistent with the nature of the dataset, considering that `fnlwgt` should indicate the quantity of individuals that present the same set of attributes. + ### `age` According to HIPPA recommendations, and together with it's very high separation value (99.87%), we classify this attribute as a QID. +![Hierarchy for attribute `age`](coding-model/hierarchies/age/age.png){width=14cm} + + ### `workclass` This attribute presents a relatively low separation value (49.71%), and given how generic it is, it's deemed Insensitive. + ### `fnlwgt` Despite high values of distinction (66.48%) and separation (99.99%) the `fnlwgt` column is not a QID @@ -75,10 +81,14 @@ U.S.A., the origin of the dataset, which implies this attribute is not a count, We also note there are substantially more Male than Female records (more than double the `fnlwgt`). + ### `education` This attribute presents a separation of 80.96%, which is quite high, thus we classified it as a QID. +![Hierarchy for attribute `education`](coding-model/hierarchies/education/education.png){width=14cm} + + ### `education-num` We exported the anonymized dataset and used the following command to verify there weren't any discrepencies @@ -93,25 +103,40 @@ representation of the `education` attribute. As such, this attribute recieves the same classification, which is backed by the equally high separation value of 80.96%, so it's classified as a QID. +![Hierarchy for attribute `education-num`](coding-model/hierarchies/education/education-num.png){width=14cm} + + ### `marital-status` With a relatively high separation value of 66.01%, together with the fact that it could be cross referenced with other available datasets, we classify this attribute as a QID. +![Hierarchy for attribute `marital-status`](coding-model/hierarchies/marital-status/marital-status.png){width=14cm} + + ### `occupation` With a separation of 90.02%, this attribute is classified as a QID. +![Hierarchy for attribute `occupation`](coding-model/hierarchies/occupation.png){width=14cm} + + ### `relationship` Given it's separation value of 73.21%, this attribute is classified as a QID. +![Hierarchy for attribute `relationship`](coding-model/hierarchies/relationship/relationship.png){width=14cm} + + ### `race` This collumn presents some weirdly specific values (Amer-Indian-Eskimo), but has a separation of 25.98%; given the fact that this attribute could be cross referenced with other datases, it is classified as a QID, so it may be transformed into more generic values. +![Hierarchy for attribute `race`](coding-model/hierarchies/race.png) + + ### `sex` Despite the low separation value of 44.27%, this attribute is canonically classified as a QID, since @@ -140,6 +165,9 @@ Doctorate | 86 | 327 Table: Number of records with each `education` for each `sex` +![Hierarchy for attribute `sex`](coding-model/hierarchies/sex.png) + + ### `capital-gain` & `capital-loss` With a separation of 15.93% and 9.15% respectively, these attributes are not QIDs. They're qualified as @@ -150,20 +178,24 @@ A t-closeness privacy model was chosen for these attributes, with a value of t of 0.2. This reasoning is discussed in Applying anonymization models > k-Anonymity > Effect of parameters + ### `hours-per-week` This attribute has a relatively high separation (76.24%) and since it had really unique values, it could be cross referenced with another dataset to help identify individuals, so it's classified as QID. + ### `native-country` While this attribute might be regarded as a QID, it presents really low separation values (19.65%) in this dataset, so it's qualified as Insensitive. + ### `prediction` This is the target attribute, the attribute the other attributes predict, and is therefore Insensitive. + # Privacy risks in the original dataset In the original dataset, nearly 40% of records have a more than 50% risk of re-identification by @@ -179,8 +211,10 @@ it's potentially easier to re-identify the individuals in question. All attacker models show a success rate of more than 50%, which is not acceptable. + # Applying anonymization models + ## k-Anonymity We opted for 8-anonymity, for it's tradeoff between maximal risk and suppression. @@ -188,12 +222,14 @@ We opted for 8-anonymity, for it's tradeoff between maximal risk and suppression t-closeness was chosen for `capital-gain` and `capital-loss` (sensitive attributes). + ### Re-identification risk The average re-identification risk dropped to nearly 0%, whereas the maximal risk dropped to 12.5%. The success rate for all attacker models was reduced drastically, to 1.3%. + ### Utility The original Classification Performance, a measure of how well the attributes @@ -205,6 +241,7 @@ value being equal across all atributes suggests entire rows were removed, rather than select values from separate rows. The only exception is the `occupation` attribute, which was entirely removed. + ### Effect of parameters At a suppression limit of 0%, the same accuracy is maintained, but the @@ -242,15 +279,18 @@ increased Generalization Intensity values. Adjusting the coding model had no significant effects. + ## $(\epsilon, \delta)$-Differential Privacy With the default $\epsilon$ value of 2 and a $\delta$ value of $10^{-6}$, the performance was really good. + ### Re-identification risk All indicators for risk by each attacker model was between 0.1% and 0.9%. + ### Utility The original Classification Performance was 83.24% and it remained @@ -259,6 +299,7 @@ at 80.97%. Nearly 16% of attributes are missing, with the expection of `age` and `education-num`, which are 100% missing. + ### Effect of parameters An $\epsilon$ value of 3 maintained the accuracy at 80.5% with @@ -270,12 +311,14 @@ performance of 82.05% and a missings value of 21.02% for all attributes. A further increase of $\delta$ to $10^{-4}$ resulted in an increased accuracy of 82.32%, but a maximal risk of 1.25%. + # Results The 8-anonymity model was chosen as it resulted in a broader distribution of attribute values like `age`, whereas with Differential Privacy, they were split into only 2 categories. + # Observations We noted that the contingency between `sex` and `relationship` maintained diff --git a/coding-model/hierarchies/age/age.ahs b/coding-model/hierarchies/age/age.ahs new file mode 100644 index 0000000000000000000000000000000000000000..86564db385cadb77ab14d403b1980ca100b00d2b GIT binary patch literal 2339 zcmbtVPiPcp6#sU1H)f66BrAc~uCcfW1=+RnPgBxhcTJ+(POT)dhzk1c&X>v9*_r7# z-z1YB1bZ-t2r4S#LGVzDf>;y;+e1M_6!g*_qzx2BdJu{Sh2X_Q-}`1aI~#*$bzo+` zfA78Dd++z&cjXz0yPWjdT+e9C(3mBRQG@Xe<$i|hI%hf+%+2hCHOfn4lX=fDHO32; zV0@gKdFnE)`>*SNKRkZAM-7MJ6*6e2AXg4j@pi<9qDoVd6M~LFTgGW2K?Ky^}OOG~8{TKWFP|pkLQL{z` z6_XAC?phddKO7i=0|2FY)U!&$uq{D0EqplSU9KA7!HN(lXwne~1n+}T@V=%_FF3Wa 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