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| SELECT "channels_subset", | |
| sum("conversion") as "conversions_sum" | |
| FROM | |
| ( | |
| SELECT "user_id", | |
| string_agg(DISTINCT("channel"), ',') as "channels_subset", | |
| max("conversion") as "conversion" | |
| FROM | |
| ( | |
| SELECT "user_id", |
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| # First, let's convert the dataframe "subsets_conversions" into a dictionnary | |
| C_values = user_logs_aggr.set_index("channels").to_dict()["conversions"] | |
| #For each possible combination of channels A, we compute the total number of conversions yielded by every subset of A. | |
| # Example : if A = {c1,c2}, then v(A) = C({c1}) + C({c2}) + C({c1,c2}) | |
| v_values = {} | |
| for A in subsets(channels): | |
| v_values[A] = v_function(A,C_values) |
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| from collections import defaultdict | |
| n=len(channels) | |
| shapley_values = defaultdict(int) | |
| for channel in channels: | |
| for A in v_values.keys(): | |
| if channel not in A.split(","): | |
| cardinal_A=len(A.split(",")) | |
| A_with_channel = A.split(",") |
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| def v_function(A,C_values): | |
| ''' | |
| This function computes the worth of each coalition. | |
| inputs: | |
| - A : a coalition of channels. | |
| - C_values : A dictionnary containing the number of conversions that each subset of channels has yielded. | |
| ''' | |
| subsets_of_A = subsets(A.split(",")) | |
| worth_of_A=0 | |
| for subset in subsets_of_A: |
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| SELECT | |
| *, | |
| extract(epoch FROM "timestamp") | |
| - lag( | |
| extract(epoch from "timestamp") | |
| ) over ( | |
| PARTITION BY "user_id" | |
| order by "timestamp" | |
| ) as "time_difference" | |
| FROM log_data |
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| SELECT | |
| *, | |
| CASE WHEN | |
| EXTRACT(epoch FROM "timestamp") | |
| - LAG( | |
| EXTRACT(epoch FROM "timestamp") | |
| ) OVER ( | |
| PARTITION BY "user_id" | |
| ORDER BY "timestamp" | |
| ) >= 30 * 60 THEN 1 ELSE 0 END as new_micro_session |
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| SELECT *, | |
| "user_id" || '_' || SUM("new_micro_session") | |
| OVER (PARTITION BY "user_id" | |
| ORDER BY "timestamp") AS "user_micro_session" | |
| FROM ( | |
| SELECT | |
| *, | |
| CASE WHEN | |
| EXTRACT(epoch FROM "timestamp") | |
| - LAG( |
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| SELECT "user_id", | |
| "channel", | |
| "timestamp" | |
| FROM( | |
| SELECT *, | |
| FIRST_VALUE("touchpoint") over( | |
| PARTITION BY "user_id", "user_micro_session" | |
| ORDER BY "timestamp") as "channel" | |
| FROM( | |
| SELECT *, |
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| SELECT "conversions".user_id, | |
| "conversions".conversion_timestamp, | |
| "touchpoints".channel, | |
| "touchpoints".timestamp, | |
| "conversions".user_id || extract(epoch from "conversions"."conversion_timestamp") AS "macro_user_session" | |
| FROM "conversions" "conversions" | |
| LEFT JOIN "user_touchpoints" "touchpoints" | |
| ON "conversions"."user_id" = "touchpoints"."user_id" |
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| SELECT *, | |
| CASE WHEN | |
| "timestamp" >= "conversion_timestamp" - interval '30 days' | |
| AND "timestamp" <= "conversion_timestamp" | |
| THEN 1 else 0 END as "keep_touchpoint" | |
| FROM( | |
| SELECT "conversions".user_id, | |
| "conversions".conversion_timestamp, | |
| "touchpoints".channel, | |
| "touchpoints".timestamp, |
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