Methods and apparatus for audience and impression deduplication

1. An apparatus, comprising:

impression collection circuitry to generate census data including a census impression count based on network communications received at a server from client devices, the network communications indicative of the client devices accessing media via a network;

first controller circuitry to impute first demographic data of panel data onto the census data by grouping the panel data and the census data based on the first demographic data of the panel data, the imputing of the first demographic data to overcome the server not including second demographic data for the census data, the first demographic data of the panel data determined based on first-party cookies;

second controller circuitry to determine a subunion of at least first and second marginal audiences of the media based on the panel data and the census data, the panel data including a panel impression count and a panel audience size, and the census data including the census impression count, wherein the first marginal audience includes a first audience member and a second audience member and the second marginal audience includes the first audience member but not the second audience member, and the subunion of the at least the first and second marginal audiences includes a first non-duplicate count of the first audience member and a second non-duplicate count of the second audience member;

audience size calculator circuitry to:

determine a census audience size of the at least the first and second marginal audiences based on the panel impression count and the panel audience size; and

determine a subunion census audience size based on the census audience size, the subunion census audience size corresponding to an overlap between the at least the first and second marginal audiences;

report generator circuitry to generate a report including the census audience size and the subunion census audience size, the census audience size indicative of audience members represented in the census data that accessed the media, and the subunion census audience size indicative of audience members represented in the census data of the subunion of the at least the first and second marginal audiences that accessed the media; and

processor circuitry including a neural network to implement a self-learning machine, the processor circuitry to implement at least one of impression collection circuitry, the first controller circuitry, the second controller circuitry, or the audience size calculator circuitry.

2. The apparatus of claim 1 , wherein the panel impression count includes a first impression and a second impression and the panel audience size represents at least a third audience member, the third audience member corresponding to the first impression and the second impression.

3. The apparatus of claim 2 , wherein the panel impression count is greater than or equal to the panel audience size.

4. The apparatus of claim 1 , wherein the at least the first and second marginal audiences correspond to an event, the event including at least one of visiting a website, accessing an advertisement, or using a device type.

5. The apparatus of claim 1 , wherein the first demographic data includes at least one of gender or age.

6. The apparatus of claim 1 , wherein the audience size calculator circuitry is to determine the census audience size of the first marginal audience and the census audience size of the second marginal audience concurrently.

7. At least one non-transitory computer readable medium comprising instructions that, when executed, cause at least one processor to at least:

generate census data including a census impression count based on network communications received at a server from client devices, the network communications indicative of the client devices accessing media via a network;

impute first demographic data of panel data onto the census data by grouping the panel data and the census data based on the first demographic data of the panel data, the imputing of the first demographic data to overcome the server not including second demographic data for the census data, the first demographic data of the panel data determined based on first-party cookies;

determine a subunion of at least first and second marginal audiences of the media based on the panel data and the census data, the panel data including a panel impression count and a panel audience size, and the census data including the census impression count, wherein the first marginal audience includes a first audience member and a second audience member and the second marginal audience includes the first audience member but not the second audience member, and the subunion of the at least the first and second marginal audiences includes a first non-duplicate count of the first audience member and a second non-duplicate count of the second audience member;

determine a census audience size of the at least the first and second marginal audiences based on the panel impression count and the panel audience size;

determine a subunion census audience size based on the census audience size, the subunion census audience size corresponding to an overlap between the at least the first and second marginal audiences; and

generate a report including the census audience size and the subunion census audience size, the census audience size indicative of audience members represented in the census data that accessed the media, and the subunion census audience size indicative of audience members represented in the census data of the subunion of the at least the first and second marginal audiences that accessed the media.

8. The at least one non-transitory computer readable medium of claim 7 , wherein the panel impression count includes a first impression and a second impression and the panel audience size represents at least a third audience member, the third audience member corresponding to the first impression and the second impression.

9. The at least one non-transitory computer readable medium of claim 8 , wherein the panel impression count is greater than or equal to the panel audience size.

10. The at least one non-transitory computer readable medium of claim 7 , wherein the at least the first and second marginal audiences correspond to an event, the event including at least one of visiting a website, accessing an advertisement, or using a device type.

11. The at least one non-transitory computer readable medium of claim 7 , wherein the first demographic data includes at least one of gender or age.

12. The at least one non-transitory computer readable medium of claim 7 , wherein the instructions, when executed, cause the at least one processor to determine the census audience size of the first marginal audience and the census audience size of the second marginal audience concurrently.

13. A method, comprising:

generating, by executing an instruction with a processor, census data including a census impression count based on network communications received at a server from client devices, the network communications indicative of the client devices accessing media via a network;

imputing, by executing an instruction with the processor, first demographic data of panel data onto the census data by grouping the panel data and the census data based on the first demographic data of the panel data, the imputing of the first demographic data to overcome the server not including second demographic data for the census data, the first demographic data of the panel data determined based on first-party cookies;

determining, by executing an instruction with the processor, a subunion of at least first and second marginal audiences of the media based on the panel data and the census data, the panel data including a panel impression count and a panel audience size, and the census data including the census impression count, wherein the first marginal audience includes a first audience member and a second audience member and the second marginal audience includes the first audience member but not the second audience member, and the subunion of the at least the first and second marginal audiences includes a first non-duplicate count of the first audience member and a second non-duplicate count of the second audience member;

determining, by executing an instruction with the processor, a census audience size of the at least the first and second marginal audiences based on the panel impression count and the panel audience size;

determining, by executing an instruction with the processor, a subunion census audience size based on the census audience size, the subunion census audience size corresponding to an overlap between the at least the first and second marginal audiences; and

generating, by executing an instruction with the processor, a report including the census audience size and the subunion census audience size, the census audience size indicative of audience members represented in the census data that accessed the media, and the subunion census audience size indicative of audience members represented in the census data of the subunion of the at least the first and second marginal audiences that accessed the media.

14. The method of claim 13 , wherein the panel impression count includes a first impression and a second impression and the panel audience size represents at least a third audience member, the third audience member corresponding to the first impression and the second impression.

15. The method of claim 14 , wherein the panel impression count is greater than or equal to the panel audience size.

16. The method of claim 13 , wherein the at least the first and second marginal audiences correspond to an event, the event including at least one of visiting a website, accessing an advertisement, or using a device type.

17. The method of claim 13 , wherein the first demographic data includes at least one of gender or age.

18. The method of claim 13 , further including determining the census audience size of the first marginal audience and the census audience size of the second marginal audience concurrently.