Digital data processing methods and apparatus for the automated generation of personalized digital content
10559015 ยท 2020-02-11
Assignee
Inventors
Cpc classification
H04L51/216
ELECTRICITY
H04L51/04
ELECTRICITY
International classification
G06F15/16
PHYSICS
Abstract
The invention provides, in some aspects, digital data processing methods of generating digital content pieces (e.g., email messages or portions thereof) that are customized in accord with individual recipient behaviors. Such methods include the step of generating and digitally transmitting to a digital data devices of a recipient a digital content piece that (i) has a call to action to which the recipient can respond and (ii) that has a plurality of features selected so as to maximize a probability, P(b.sub.1, b.sub.2, . . . , b.sub.M, x.sub.1, x.sub.2, . . . , x.sub.M), that the recipient will respond to that call to action, where that probability is defined by the relation
P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.1,x.sub.2, . . . , x.sub.M)=exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)/(1+exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)) where x.sub.1, x.sub.2, . . . , x.sub.M are values for each of a plurality, M, of features characterizing the digital content piece and/or the recipient, b.sub.1, b.sub.2, . . . , b.sub.M are respective coefficients for each of the values x.sub.1, x.sub.2, . . . , x.sub.M.
Claims
1. Digital data processing methods of generating digital content pieces that are customized for individual recipients of an email campaign, comprising executing on a digital data processing system the steps of: extracting, from a history of one or more prior email campaigns, a dataset for each of plural recipients of those prior email campaigns, which dataset enumerates combinations of characteristics of that respective recipient and of one or more digital content pieces from those prior email campaigns viewed by that recipient, where the dataset extracted for each recipient can be expressed by the expression:
P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.1,x.sub.2, . . . , x.sub.M)=exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)/(1+exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)) where, x.sub.1, x.sub.2, . . . , x.sub.M are values for each of M respective characteristics of the further digital content piece and/or the respective recipient, b.sub.1, b.sub.2, . . . , b.sub.M are respective coefficients for each of the values x.sub.1, x.sub.2, . . . , x.sub.M, generating a said further digital content piece with any of an image and a video having features customized in accord with coefficients determined for that respective recipient in the determining step, and digitally transmitting that further digital content piece to the digital data processing device of that respective recipient.
2. The digital data processing method of claim 1, including discerning, for each of N content pieces viewed by each respective recipient of a said prior email campaign, an enumeration of M digital content piece/recipient characteristic combinations, where each of M and N are integers greater than one.
3. The digital data processing method of claim 1, including determining values of said coefficients b.sub.0 . . . b.sub.M so as to maximize a likelihood, L(b.sub.1, b.sub.2, . . . , b.sub.M, data), that predicted interactions with digital content pieces represented in the dataset match the actual interactions represented in the dataset, wherein the likelihood is expressed as a function of a relation:
L(b.sub.1,b.sub.2, . . . , b.sub.M,data)=.sub.i=1, . . . , N;y.sub.
4. The digital data processing method of claim 3, including valuing the coefficients, b.sub.1, b.sub.2, . . . , b.sub.M, to maximize a log of the aforesaid likelihood, L(b.sub.1, b.sub.2, . . . , b.sub.M, data).
5. The digital data processing method of claim 4, including valuing the coefficients, b.sub.1, b.sub.2, . . . , b.sub.M, by executing a Stochastic Gradient Descent algorithm characterized by the iterative expression
b.sub.j.sup.t+1=b.sub.j.sup.t(y.sub.tP(b.sub.1.sup.t,b.sub.2.sup.t, . . . , b.sub.N.sup.t,x.sub.t1,x.sub.t2, . . . , x.sub.tM))x.sub.t,j where, is learning rate set by trial and error, P(b.sub.1.sup.t, b.sub.2.sup.t, . . . , b.sub.N.sup.t, x.sub.t1, x.sub.t2, . . . , x.sub.tM)) is the probability, P(b.sub.1, b.sub.2, . . . , b.sub.M, . . . , x.sub.1, x.sub.2, . . . x.sub.M), evaluated using the coefficients b.sub.j, for j=1 . . . M.
6. The digital data processing method of claim 1, including generating and transmitting customized further digital data content pieces to over 100 recipients at a time.
7. The digital data processing method of claim 1, including generating and transmitting customized further digital content pieces to over 1,000 recipients at a time.
8. The digital data processing method of claim 1, including generating and transmitting customized digital data content pieces to over 10,000 recipients at a time.
9. The digital data processing method of claim 1, including generating and transmitting customized digital data content pieces to over 100,000 recipients at a time.
10. A digital data processing method of generating digital content pieces that are customized for individual recipients of an email campaign, comprising executing on a digital data processing system the steps of: extracting, from a history of one or more prior email campaigns that include product imagery and calls to action, a dataset for each of plural recipients of those prior email campaigns, which dataset enumerates combinations of characteristics of that respective recipient and of one or more digital content pieces of those prior email campaigns viewed by that recipient, wherein said dataset for a said recipient of a prior email campaign can be expressed by the expression
P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.1,x.sub.2, . . . , x.sub.M)=exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)/(1+exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)) where x.sub.1, x.sub.2, . . . , x.sub.M are values for each of a plurality, M, of features characterizing the digital content piece and/or the recipient, b.sub.1, b.sub.2, . . . , b.sub.M are respective coefficients for each of the values x.sub.1, x.sub.2, . . . , x.sub.M x.sub.2, . . . , x.sub.M are values for each of M respective characteristics of the further digital content piece and/or the respective recipient, b.sub.1, b.sub.2, . . . , b.sub.M are respective coefficients for each of the values x.sub.1, x.sub.2, . . . , x.sub.M generating a said further digital content piece having a call to action and product imagery with feature characteristics customized in accord with coefficients determined for that respective recipient.
11. The digital data processing method of claim 10, including discerning, for each of N content pieces viewed by each respective recipient of a said prior email campaign, an enumeration of M digital content piece/recipient characteristic combinations, where each of M and N are integers greater than one.
12. The digital data processing method of claim 10, wherein step (B) includes determining values of said coefficients b.sub.0 . . . b.sub.M so as to maximize a likelihood, L(b.sub.1, b.sub.2 . . . , b.sub.M, data), that predicted responses to calls to action for digital content pieces represented in the dataset match the actual responses represented in the dataset, wherein the likelihood is expressed as a function of a relation:
L(b.sub.1,b.sub.2, . . . , b.sub.M,data)=.sub.i=1, . . . , N;y.sub.
13. The digital data processing method of claim 12, including valuing the coefficients, b.sub.1, b.sub.2, . . . , b.sub.M, to maximize a log of the aforesaid likelihood, L(b.sub.1, b.sub.2, . . . , b.sub.M, data).
14. The digital data processing method of claim 13, including valuing the coefficients, b.sub.1, b.sub.2, . . . , b.sub.M, by executing a Stochastic Gradient Descent algorithm characterized by the iterative expression
b.sub.j.sup.t+1=b.sub.j.sup.t(y.sub.tP(b.sub.1.sup.t,b.sub.2.sup.t, . . . , b.sub.N.sup.t,x.sub.t1,x.sub.t2, . . . , x.sub.tM))x.sub.t,j where, is learning rate set by trial and error, P(b.sub.1.sup.t, b.sub.N.sup.t, . . . , b.sub.N.sup.t, x.sub.t1, x.sub.t2, . . . , x.sub.tM)) is the probability, P(b.sub.1, b.sub.2, . . . , b.sub.M, . . . , x.sub.1, x.sub.2, . . . , x.sub.M), evaluated using the coefficients b.sub.j, for j=1 . . . M.
15. The digital data processing method of claim 10, including generating and transmitting customized further digital data content pieces substantially concurrently to over 100 recipients.
16. The digital data processing method of claim 10, including generating and transmitting customized digital data content pieces substantially concurrently to over 100,000 recipients.
17. Digital data processing methods of generating digital content pieces that are customized for individual recipients of an email campaign, comprising executing on a digital data processing system the steps of: extracting, from a history of one or more prior email campaigns, a dataset for each of plural recipients of those prior email campaigns, which dataset enumerates combinations of characteristics of that respective recipient and of one or more digital content pieces from those prior email campaigns viewed by that recipient, where the dataset extracted for each recipient can be expressed by the expression:
P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.1,x.sub.2, . . . , x.sub.M)=exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)/(1+exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)) where, x.sub.2, . . . , x.sub.M are values for each of M respective characteristics of the further digital content piece and/or the respective recipient, b.sub.1, b.sub.2, . . . , b.sub.M are respective coefficients for each of the values x.sub.1, x.sub.2, . . . , x.sub.M, generating a said further digital content piece with any of image and a video having features customized in accord with coefficients determined for that respective recipient in the determining step, and digitally transmitting that further digital content piece to the digital data processing device of that respective recipient.
Description
BRIEF DESCRIPTION OF THE ILLUSTRATED EMBODIMENT
(1) A more complete understanding of the invention may be attained by reference to the drawings, in which:
(2)
(3)
DETAILED DESCRIPTION OF THE ILLUSTRATED EMBODIMENT
(4) Overview
(5)
(6) The illustrated system 10 includes a server digital data device 12 that is coupled via network 14 for communication with client digital data devices 16-24.
(7) The digital data devices 12 and 16-24 comprise conventional desktop computers, workstations, minicomputers, laptop computers, tablet computers, PDAs or other digital data devices of the type that are commercially available in the marketplace, all as adapted in accord with the teachings hereof. Each comprises a central processing (CPU), memory (RAM), and input/output (IO) subsections that are of the type conventional in the art and that are configured in accord with the teachings hereof to execute an application 30 (in the case of device 12) and applications 32 (in the case of devices 16-24), all programmed utilizing conventional software engineering techniques to perform the functions attributed herein to those applications and, more generally, to the respective devices 12 and 16-24 herein. The devices 12, 16-24 may be of the same type, though, more typically, constitute a heterogeneous set of devices.
(8) Devices 12 and 16-24 (and, more particularly, for example, their respective central processing (CPU), memory (RAM), and input/output (IO) subsections) are configured to execute operating systems, email, text messaging, web browser and/or other applications and functions (regardless of whether software-based) all of the conventional type known in the art as adapted in accord with the teachings hereof. Applications 30 and 32 cooperate therewith (e.g., with the email, text message, web browser and other functionality executing on the respective devices 12 and 16-24) to exchange digital contentand, specifically, for example, in the illustrated embodiment, email messagesand responses to calls to action contained therein, all consistent with the teachings hereof.
(9) Although only a single server digital data device 12 is depicted and described here, it will be appreciated that other embodiments may utilize a greater number of these devices, homogeneous, heterogeneous or otherwise, networked or otherwise, to perform the functions ascribed hereto to application 30 and/or digital data processor 12. Likewise, although several client digital data devices 16-24 are shown, it will be appreciated that other embodiments may utilize a greater or lesser number of these devices, homogeneous, heterogeneous or otherwise, running applications 32 that are, themselves, homogeneous, heterogeneous or otherwise.
(10) Network 14 comprises one or more networks suitable for supporting communications between server 12 and data devices 16-24. The network comprises one or more arrangements of the type known in the art, e.g., local area networks (LANs), wide area networks (WANs), metropolitan area networks (MANs), and or Internet(s).
(11) Overview
(12) As noted above, email has its own, idiosyncratic characteristics. The way users interact with email is different from the way they interact with, for example, a website. When a user arrives at a website, they have intent, i.e., they have certain goals in mind. For example, if they come to the site with the goal of buying a sweater, they will search for sweaters, click on sweater product images etc.
(13) In contrast, when a user opens an email and sees a sweater image, the factors that determine whether or not she will click on the sweater image or otherwise respond to the call to action (e.g., by clicking on a buy now, reserve yours today, tell me more, etc., button, link or other widget) are very different. These factors may include her previous sweater purchases with the company that sent the email but may also involve aspects of product imagery. Perhaps she will not click on black-and-white images even for products she likes. Perhaps she is more likely to click on product images that are modeled by a real person as opposed to being shown arranged on a table. Perhaps the presence of more expensive products nearby makes her click through less expensive options.
(14) The inventors have realized that the factors that drive clickability of a piece of email content (and, more generally, that drive responses to calls to action of digital content pieces) may include, inter alia, the various physical aspects of that content, e.g., black-and-white vs. color image, size of image, presence of model the email recipients historical interactions with that company in general and the specific types of content featured in the email the interactions between the two sets of factors above (e.g., a user may find black-and-white images of basics like socks eminently clickable, but may not click on black-and-white images of fashion sweaters)
(15) And, from this, the inventors have realized that an effective approach to personalizing the automated generation of email can incorporate data on every customer (their historical purchases or readings, web site visits, email behavior and so on), the various aspects of the contents available for inclusion in the email, and identify the particular combination of factors for each individual that would make him/her click through the email. In short, the approach should be personalized. Such an approach can, for example, include the generation of digital content pieces that are customized in accord with individual recipient behaviors, where each such digital content piece (i) has a call to action to which the recipient can respond and (ii) has a plurality, M, of features selected so as to maximize a probability that the recipient will respond to that call to action, which features take into account that recipient's characteristics, including at least that recipient's responses to one or more calls to action of one or more prior digital content pieces.
(16) Content Pieces, Features and Calls to Action
(17) In the discussion that follows vis-a-vis the illustrated embodiment, a digital content piece (or, more simply, a content piece) is an email message or portion thereof that includes content such as an image(s), video(s) and/or text and that is associated with a call to action. A single email message may include more than one content piece. In other embodiment, a content piece may comprise the whole or portion of a message generated and transmitted via another protocol and/or medium, e.g., an MMS message, etc.
(18) A call to action is a means by which the recipient of that content piece can respond to indicate her interest in the piece, e.g., vis-a-vis purchase, obtaining more information, liking or other commenting, and so forth. Typically, such a call to action is a button or a link (e.g., labeled buy now, reserve yours today, tell me more, etc.) contained in the same email message as the content piece and, indeed, may be embedded in the piece itself (e.g., as in the case of a link embedded in a content image). A call to action can, instead or in addition, be a reply-to email address that the user can effectuate by replying to the email using menu or other options in an email client; a word, phrase or code that the user can type upon visiting a specified web site, and so forth; all, by way of non-limiting example.
(19) Although the content piece and call to action may be contained, for example, in an email message, the response effected by the recipient (e.g., by clicking the call to action) need not be an email. For example, a recipient's action vis-a-vis a call to action may result in opening a web browser (e.g., effected via a hidden or obscure code traceable to that email message and/or the recipient thereof).
(20) In the illustrated embodiment, a content piece may have one or more of the following features, preferably, 5 or more of those features, still more preferably, 10 or more of those features and, yet still more preferably, 15 or more of those features: Category Brand Newness indicator Gender indicator Special indicators (e.g. Halloween, Easter, Anniversary) Keywords in product description (e.g., cashmere, BOGOBuy One Get One) Price range Deal range All-Black-image indicator All-White-image indicator Modeled/Unmodeled indicator (if the image is of a model wearing the product or just the product itself) Primary color of product image Resolution of product image Presence of caption under product image Number of lines of caption text Indicator if price/discount is mentioned in caption Indicator if adjacent product is from the same category Indicator if adjacent product is 10 Total number of products featured in the email Indicator if product image is visible above the fold for a desktop/laptop screen Indicator if product image is visible above the fold for a tablet screen Indicator if product image is visible above the fold for a smartphone screen
(21) In the illustrated embodiment, each news-article oriented content piece may have one or more of the following features, preferably, 3 or more of those features, still more preferably, 6 or more of those features and, yet still more preferably, 9 or more of those features: Number of words in headline Color of font used in headline Number of lines of caption text Indicator if there is accompanying image Indicator if accompanying image is black-and-white Size of accompanying image Total number of news article headlines featured in the email Indicator if content is visible above the fold for a desktop/laptop screen Indicator if content is visible above the fold for a tablet screen Indicator if content is visible above the fold for a smartphone screen Actual text of news article headline
(22) In the illustrated embodiment, each user-product combination content piece may have one or more of the following features, preferably, 3 or more of those features, still more preferably, 6 or more of those features and, yet still more preferably, 9 or more of those features: Category previously purchased indicator Category recency (if purchased) Brand previously purchased indicator Brand recency (if purchased) Product in ecommerce shopping cart indicator Category in ecommerce shopping cart indicator Brand in ecommerce shopping cart indicator Product browsed in past 7 days indicator Category browsed in past 7 days indicator Brand browsed in past 7 days indicator Product clicked-through-in-email indicator Category clicked-through-in-email indicator Brand clicked-through-in-email indicator Bought in that price range before indicator Category previously purchased ONLINE indicator Product complements customer's previous buy indicator (e.g., Shirt and Tie) Affinity score for that user-product combination (this is optional and can come from external sources, if available)
(23) In the illustrated embodiment, each user-news-article-headline combination content piece may have one or more of the following features, preferably, 3 or more of those features, still more preferably, 6 or more of those features and, yet still more preferably, 9 or more of those features: Indicator for whether the user has previously read articles in the topics pertaining to the news article headline Indicator for whether the user has previously clicked-through-in-email article headlines pertaining to the topics referenced by the news article headline Number of days since previous read of any topic Number of days since previous read of relevant topics Number of articles read in past 7 days Number of articles read in past 30 days Number of relevant articles read in past 7 days Number of relevant articles read in past 30 days Number of article headlines clicked-through-in-email in past 7 days Number of article headlines clicked-through-in-email in past 30 days
(24) Server Operation
(25) Illustrated digital data device 12 and, more particularly, application 30, generates personalized click-through models for emails so as to maximize click-through rates, e.g., on email campaigns that can also be generated by that application. Referring to
(26) Data collection phase: Run email campaigns over a defined time period; include (randomly chosen) content pieces in emails. Collect data on which recipients open and click on what content pieces. Alternatively, or in addition, such data can be discerned from prior email campaigns. See, Step 40.
(27) Feature engineering phase: Extract predictive variables (aka features) on email recipients, the various aspects of the content pieces, and their interactions thereof. See, Step 42.
(28) Model development phase: Using the data collected, create and calibrate click-prediction models. See, Step 44.
(29) Email campaign phase: Using model created/calibrated in the model development phase, generate and transmit to customers digital content pieces that maximize the likelihood of customer response. See step 45.
(30) Data Collection Phase
(31) As noted earlier, the way users interact with emails can be uniquely different from the way they interact with websites, stores, newspapers etc. To be able to model a users click behavior when she is viewing an email, the application 30 collects data on users actual interactions with emails. Past user data (purchases, users interactions with the website etc.) are necessary but not sufficient to build an accurate model.
(32) In this phase, the application 30, e.g., under control of a marketing campaign manager or otherwise, compiles or otherwise obtains a history of actual responses to calls to action contained in digital content pieces sent to a first set of customers, potential customers or other recipients representative of same (collectively, customers or recipients). This can be done by randomly or otherwise sampling records from prior email campaigns, e.g., to identify emails transmitting a sufficiently wide sampling of content pieces and associated calls to action to customers and to identify the customer responses thereto. More typically, however, this is done by effecting a data collection email campaign using application 30 to generate such emails and to track recipient responses.
(33) Referring to
(34) Client Operation
(35) Application 32 of the client digital data devices comprises email clients or other functionality that enable the respective users of those devices to view digital content pieces received by the respective devices and, if desired, to respond to calls to action associated therewith.
(36) Feature Engineering Phase
(37) In this phase, the application 30 extracts a dataset from the history of emails and customer responses developed in the data collection phase. To that end, for each of the N content pieces viewed by its respective recipient (e.g., as evidenced by opening of the email message in which it was contained), the application 30 discerns an enumeration of the M digital content piece/recipient feature combinations (where those features are comprise one or more of the features described in the section Content Pieces, Features and Calls to Action, above). This can be done by parsing the digital content piece and/or by obtaining information about the piece and/or the recipient to which it was sent from a database or other records, e.g., in storage associated with device 30 or otherwise. The application 30 captures those per-piece features in an array or other data structure that can be expressed, for example, as follows:
(38)
(39) Model Development Phase
(40) At the end of the feature engineering phase, the application 30 has collected and identified the features in the history of digital content pieces and resultant customer responses, as discussed above.
(41) In the model development phase, the application 30, first, defines a target variable, y.sub.i, for each content piece. Specifically, for every customer/content-piece/email combination, if the customer opened the email but did not click on the content piece, the application 30 sets the target variable, y.sub.i, for that content piece to zero. If the user clicked on the content piece, the application 30 sets the target variable, y.sub.i, to one.
(42) The application 30, then, determines values of coefficients b.sub.0 . . . b.sub.M that maximize a probability, P(b.sub.1, b.sub.2, . . . , b.sub.M, x.sub.1, x.sub.2, . . . , x.sub.M), that a recipient will respond to a call to action in an content piece having the features, x.sub.0 . . . x.sub.M, where that probability is defined by the relation
P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.1,x.sub.2, . . . , x.sub.M)=exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)/(1+exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)) where, x.sub.1, x.sub.2, . . . , x.sub.M are values for each of the respective M features characterizing the digital content piece and/or recipient thereof, b.sub.1, b.sub.2, . . . , b.sub.M are respective coefficients for each of the values x.sub.1, x.sub.2, . . . , x.sub.M
(43) The application 30 of the illustrated embodiment does this by valuing those coefficients b.sub.1, b.sub.2, . . . , b.sub.M so as to maximize a likelihood, L(b.sub.1, b.sub.2, . . . , b.sub.M, data), that predicted responses to calls to action for digital content pieces represented in the dataset match the actual responses represented in the dataset developed from the first set of recipients, where that likelihood is expressed as a function of the relation:
L(b.sub.1,b.sub.2, . . . , b.sub.M,data)=.sub.i=1, . . . , N;y.sub.
(44) .sub.i=1, . . . N;y.sub.
(45) The foregoing is more preferably accomplished by valuing the coefficients b.sub.1, b.sub.2, . . . , b.sub.M to maximize a log of the likelihood, L(b.sub.1, b.sub.2, . . . , b.sub.M, data), e.g., by executing a Stochastic Gradient Descent algorithm characterized by the iterative expression:
b.sub.j.sup.t+1=b.sub.j.sup.t(y.sub.tP)b.sub.1.sup.t,b.sub.2.sup.t, . . . , b.sub.N.sup.t,x.sub.t1,x.sub.t2, . . . , x.sub.tM))x.sub.t,j where, is learning rate set by trial and error, P(b.sub.1.sup.t, b.sub.2.sup.t, . . . , b.sub.N.sup.t, x.sub.t1, x.sub.t2, . . . , x.sub.tM)) is the probability, P(b.sub.1, b.sub.2, . . . , b.sub.M, x.sub.1, x.sub.2, . . . , x.sub.M), evaluated using the coefficients b.sub.j, for j=1 . . . M
(46) A more complete understanding of the foregoing may be attained by the following discussion in a narrative from the inventors' perspectives.
(47) For a given email recipient, let us define the dependent (target) variable as y which is equal to 0 for opened but not clicked emails, and is equal to 1 for opened and clicked emails. Let's also define the independent variables (aka predictors, features) as a vector x.sub.j where j corresponds to index of a given independent variable and can vary from 1 to M, where M is number of independent variables.
(48) We formulate the probability for a given email recipient clicking on the links in a given email as:
P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.1,x.sub.2, . . . , x.sub.M)=exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)/(1+exp(.sub.j=1, . . . , Mb.sub.jx.sub.j)) where b.sub.j is the model coefficient that corresponds to the independent variable x.sub.j
(49) If we have a dataset that corresponds to opened/clicked emails for a set of email recipients i=1, . . . N, the solution to this problem is the set of parameters b.sub.1, . . . , b.sub.M that maximizes the likelihood of the observed data, which is expressed as the product of the predicted probabilities of the N individual observations:
L(b.sub.1,b.sub.2, . . . , b.sub.M,data)=.sub.i=1, . . . N;y.sub.
where the first product corresponds to the observations where emails were opened and clicked, and the second sum corresponds to the observations where emails were opened but not clicked.
(50) For convenience, logarithm of the likelihood function is used instead which allows to express the log-likelihood as a sum instead of products:
LL(b.sub.1,b.sub.2, . . . , b.sub.M,data)=.sub.i=1, . . . NY.sub.i log(P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.i1,x.sub.i2, . . . , x.sub.iM))+(1y.sub.i)log(1P(b.sub.1,b.sub.2, . . . , b.sub.M,x.sub.i1,x.sub.i2, . . . , x.sub.iM))=.sub.i=1, . . . N(y.sub.i.sub.j=1, . . . Mb.sub.jx.sub.ijlog(1+exp(.sub.j=1, . . . , Mb.sub.jx.sub.ij))
(51) The set of parameters b.sub.1, . . . , b.sub.M that maximizes the log-likelihood function LL(b.sub.1, b.sub.2, . . . , b.sub.M, data) can be found by using Stochastic Gradient Descent algorithm described below.
(52) Stochastic Gradient Descent algorithm
(53) TABLE-US-00001 Initialize coefficients b.sub.j.sup.1 to zero for j = 1, . . . , M, for t = 1 to N do
(54) Email Campaign Phase
(55) The resulting set of parameters b.sub.j.sup.N+1(j=1, . . . , M) are then used to calculate click probabilities, that is, probabilities that customers will respond to calls to action associated with digital content pieces in emails. Specifically, referring to FIG. 2, in an email campaign phase, the application 30 generates, for each of one or more customers in a second set of customers, digital content pieces having features that maximize a probability, P(b.sub.1, b.sub.2, . . . , b.sub.M, x.sub.1, x.sub.2, . . . , x.sub.M), that the customer will respond to a call to action associated with that piece.
(56) Because not all of the features, M, characterize the content piece and, rather, because at least one (or, more preferably, some) of them characterize aspect of the customer to whom the content piece is directed, generation of digital content pieces in this manner results in pieces that differ from one anotherand, more specifically, where the digital content pieces generated and transmitted to at least two of the recipients differ from one another.
(57) Under control of an operator or otherwise, the application 30 effects digital transmission of those content pieces substantially concurrently (i.e., within the time period typical to that for the generation and transmission of email messages in bulk to a plurality of recipients) to the respective customers via email, with one or more content pieces per email. In some embodiments, the application generates and transmits such content pieces (e.g., emails) to over 1000 customers at a time; other embodiments, to over 10,000 customers at a time; and, in still other embodiments, to over 100,000 customers at time. The generation of content pieces yielding higher rates of responses to associated calls to action is made possible through utilization model-based customization, as discussed herein.
(58) Applications 32 executing on the digital data devices 16-24 permit the respective customers to view those emails/content pieces and to respond to them, e.g., by clicking on or otherwise taking action with respect to the pieces' associated calls to action.
(59) Referring to
(60) As those skilled in the art will appreciate in comparing