Some embodiments relate generally to the processing of compressed multidimensional data and selection of engagement rules based on the compressed multidimensional data. In some embodiments, a method includes retrieving, via a processor, a multidimensional data profile that includes a set of first inclination distributions, each associated with a data dimension. The processor matches a first set of engagement rules to the multidimensional data profile to define a matched set, each engagement rule of the first set of engagement rules having a corresponding confidence level and a corresponding set of second inclination distributions. The processor selects an engagement rule from the matched set that has a corresponding confidence level no less than a corresponding confidence level for each remaining engagement rule from the matched set, and sends a signal causing display of a stimulus to a user according to the selected engagement rule and not according to the remaining engagement rules.
Please help me write a proper abstract based on the patent claims. CLAIM: 1. A method, comprising: retrieving, via a processor, a compressed multidimensional data profile including a plurality of first inclination distributions, each first inclination distribution from the plurality of first inclination distributions being associated with a data dimension of a plurality of data dimensions; matching, via the processor, a first plurality of engagement rules to the compressed multidimensional data profile to define a matched plurality of engagement rules, each engagement rule of the first plurality of engagement rules having a corresponding confidence level and a corresponding plurality of second inclination distributions; selecting, via the processor, an engagement rule from the matched plurality of engagement rules that has a corresponding confidence level no less than a corresponding confidence level for each remaining engagement rule from the matched plurality of engagement rules; and sending, via the processor, a signal causing display of a stimulus to a user according to the engagement rule of the matched plurality of engagement rules and not according to the remaining engagement rules, the matching the first plurality of engagement rules to the compressed multidimensional data profile including one of: ID  ( X , I )  ( m )  ID  ( X , R ) = ( Σ  ( min  ( lean  ( X , I ) i , lean  ( X , R ) i ) ) , i = 1 , 10 ( min  ( inc  ( X , I ) , inc  ( X , R ) ) ) ) ( Σ  ( lean  ( X , I ) i ) , i = 1 , 10 ( min  ( inc  ( X , I ) , inc  ( X , R ) ) ) ) ; and ID  ( X , R )  ( m )  ID  ( X , I ) = ( Σ  ( min  ( lean  ( X , I ) i , lean  ( X , R ) i ) ) , i = 1 , 10 ( min  ( inc  ( X , I ) , inc  ( X , R ) ) ) ) ( Σ  ( lean  ( X , R ) i ) , i = 1 , 10 ( min  ( inc  ( X , I ) , inc  ( X , R ) ) ) ) , where (m) is a matching operator, X is a data dimension of the plurality of data dimensions, ID(X,I) is an inclination distribution of the plurality of first inclination distributions, ID(X,R) is an inclination distribution of the plurality of second inclination distributions of an engagement rule R of the first plurality of engagement rules, inc(X, I) is a time increment of the inclination distribution of the plurality of first inclination distributions, inc(X, R) is a time increment of the inclination distribution of the plurality of second inclination distributions, lean(X, I) is a value of the inclination distribution of the plurality of first inclination distributions, and lean(X, R) is a value of the inclination distribution of the plurality of second inclination distributions. 2. The method of claim 1, further comprising iteratively modifying the compressed multidimensional data profile and/or the first plurality of engagement rules based on a response to the stimulus. 3. The method of claim 1, further comprising: receiving a response to the stimulus; defining an effectiveness of at least one engagement rule of the matched plurality of engagement rules based on the response; and modifying the confidence level of the at least one engagement rule of the matched plurality of engagement rules according to: CONF1=CONF0+(1−CONF0)*eff if eff>0; and CONF1=CONF0−(CONF0+1)*|eff| if eff<0, where CONF0=the confidence level of the at least one engagement rule of the matched plurality of engagement rules, CONF1=a modified confidence level, and “eff” is the effectiveness of the at least one engagement rule of the matched plurality of engagement rules, so as to define a second plurality of engagement rules. 4. The method of claim 3, wherein the stimulus is a first stimulus and the matched plurality of engagement rules is a first matched plurality of engagement rules, the method further comprising: matching the second plurality of engagement rules to the compressed multidimensional data profile to define a second matched plurality of engagement rules; selecting an engagement rule of the second matched plurality of engagement rules that has corresponding confidence level no less than the corresponding confidence level for each remaining engagement rule from the second matched plurality of engagement rules; and displaying a second stimulus to the user according to the selected engagement rule of the second matched plurality of engagement rules. 5. The method of claim 1, wherein at least one first inclination distribution of the plurality of first inclination distributions is a multimodal distribution. 6. The method of claim 1, wherein at least one second inclination distribution of the plurality of second inclination distributions is a multimodal distribution. 7. An apparatus, comprising: a user interface configured to display a plurality of stimuli to a user and to receive from the user a plurality of responses associated with the plurality of stimuli; a memory operably coupled to the user interface and configured to store a compressed multidimensional data profile associated with the user; and a processor operably coupled to the memory and configured to: retrieve the compressed multidimensional data profile from the memory; match a set of engagement rules to the compressed multidimensional data profile to produce a matched set of engagement rules; select an engagement rule of the matched set of engagement rules that has a corresponding confidence level no less than a corresponding confidence level for each remaining engagement rule from the matched set of engagement rules; and send a signal to cause the user interface to display a stimulus of the plurality of stimuli to the user via the user interface based on the engagement rule of the matched set of engagement rules. 8. The apparatus of claim 7, wherein the processor is further configured to: store, in the memory, a plurality of confidence levels, each confidence level from the plurality of confidence levels corresponding to an engagement rule of the set of engagement rules; and modify at least one confidence level of the plurality of confidence levels based on an input received via the user interface in response to the displayed stimulus. 9. The apparatus of claim 7, wherein: the compressed multidimensional data profile includes a first plurality of inclination distributions, each inclination distribution from the first plurality of inclination distributions corresponding to a data dimension, and the set of engagement rules includes a second plurality of inclination distributions, each inclination distribution from the second plurality of inclination distributions corresponding to a data dimension. 10. The apparatus of claim 9, wherein at least one inclination distribution of the plurality of inclination distributions has a multimodal distribution. 11. The apparatus of claim 9, wherein the processor is further configured to match the set of engagement rules to the compressed multidimensional data profile based on an aggregation of overlaps between: (1) inclination distributions of the first plurality of inclination distributions; and (2) inclination distributions of the second plurality of inclination distributions and having the data dimension that corresponds to the data dimension of each inclination distributions of the first plurality of inclination distributions. 12. An apparatus, comprising: a user interface configured to display a plurality of stimuli to a user and to receive from the user a plurality of responses associated with the plurality of stimuli; a memory operably coupled to the user interface and storing: (1) a compressed multidimensional data profile associated with the user, the compressed multidimensional data profile including a first plurality of inclination distributions; and (2) a set of engagement rules, each engagement rule of the set of engagement rules including an associated second plurality of inclination distributions; and a processor operably coupled to the memory and configured to: retrieve the compressed multidimensional data profile from the memory; match the compressed multidimensional data profile to the set of engagement rules to produce a matched set of engagement rules based on the first plurality of inclination distributions and the second pluralities of inclination distributions; select an engagement rule of the matched set of engagement rules; and send a signal to cause the user interface to display a stimulus of the plurality of stimuli to the user via the user interface based on the selected engagement rule. 13. The apparatus of claim 12, the processor further configured to iteratively modify the compressed multidimensional data profile based on a response to the stimulus that is received via the user interface. 14. The apparatus of claim 12, the processor further configured to: determine an effectiveness of the selected engagement rule based on a response to the stimulus that is received via the user interface. 15. The apparatus of claim 14, the processor further configured to: modify a confidence level associated with the selected engagement rule based on the effectiveness. 16. The apparatus of claim 12, wherein at least one inclination distribution of the first plurality of inclination distributions is a multimodal distribution. 17. The apparatus of claim 12, wherein at least one inclination distribution of the second plurality of inclination distributions is a multimodal distribution. 18. The apparatus of claim 12, wherein matching the compressed multidimensional data profile to the set of engagement rules is according to: ID  ( X , I )  ( m )  ID  ( X , R ) = ( Σ  ( min  ( lean  ( X , I ) i , lean  ( X , R ) i ) ) , i = 1 , 10 ( min  ( inc  ( X , I ) , inc  ( X , R ) ) ) ) ( Σ  ( lean  ( X , I ) i ) , i = 1 , 10 ( min  ( inc  ( X , I ) , inc  ( X , R ) ) ) ) , where (m) is a matching operator, X is a data dimension of a plurality of data dimensions, ID(X,I) is an inclination distribution of the first plurality of inclination distributions, ID(X,R) is an inclination distribution of the second plurality of inclination distributions, inc(X, I) is a time increment of the inclination distribution of the first plurality of inclination distributions, inc(X, R) is a time increment of the inclination distribution of the second plurality of inclination distributions, lean(X, I) is a value of the inclination distribution of the first plurality of inclination distributions, and lean(X, R) is a value of the inclination distribution of the second plurality of inclination distributions.