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Title: Feat2Vec:  Dense Vector Representation for Data with Arbitrary Features

Paper content:
Methods that calculate dense vector representations for features in unstructured data—such as words in a document—have proven to be very successful for knowledge representation.
We study how to estimate dense representations when multiple feature types exist within a dataset for supervised learning where explicit labels are available, as well as for unsupervised learning where there are no labels.
Feat2Vec calculates embeddings for data with multiple feature types enforcing that all different feature types exist in a common space.
In the supervised case, we show that our method has advantages over recently proposed methods; such as enabling higher prediction accuracy, and providing a way to avoid the cold-start
problem.
In the unsupervised case, our experiments suggest that Feat2Vec significantly outperforms existing algorithms that do not leverage the structure of the data.
We believe that we are the first to propose a method for learning unsuper vised embeddings that leverage the structure of multiple feature types.
Informally, in machine learning a dense representation, or embedding of a vector x ∈ R n is another vector y ∈ R r that has much lower dimensionality (r n) than the original representation, and can be used to replace the original vector in downstream prediction tasks.
Embeddings have multiple advantages, as they enable more efficient training BID17 , and unsupervised learning BID25 .
For example, when applied to text, semantically similar words are mapped to nearby points.We consider two kind of algorithms that use embeddings:
Embeddings have proven useful in a wide variety of contexts, but they are typically built from datasets with a single feature type as in the case of Word2Vec, or tuned for a single prediction task as in the case of Factorization Machine.
We believe Feat2Vec is an important step towards generalpurpose methods, because it decouples feature extraction from prediction for datasets with multiple feature types, it is general-purpose, and its embeddings are easily interpretable.In the supervised setting, Feat2Vec is able to calculate embeddings for whole passages of texts, and we show experimental results outperforming an algorithm specifically designed for text-even when using the same feature extraction CNN.
This suggests that the need for ad-hoc networks should be situated in relationship to the improvements over a general-purpose method.In the unsupervised setting, Feat2Vec's embeddings are able to capture relationships across features that can be twice as better as Word2Vec's CBOW algorithm on some evaluation metrics.
Feat2Vec exploits the structure of a datasets to learn embeddings in a way that is structurally more sensible than existing methods.
The sampling method, and loss function that we use have interesting theoretical properties.
To the extent of our knowledge, Unsupervised Feat2Vec is the first method able to calculate continuous representations of data with arbitrary feature types.Future work could study how to reduce the amount of human knowledge our approach requires; for example by automatically grouping features into entities, or by automatically choosing a feature extraction function.
These ideas can extend to our codebase that we make available 8 .
Overall, we evaluate supervised and unsupervised Feat2Vec on 2 datasets each.
Though further experimentation is necessary, we believe that our results are an encouraging step towards general-purpose embedding models.
Bag of categories 244,241 "George Johnson", "Jack Russell" Principal cast members (actors) Bag of categories 1,104,280 "George Clooney", "Brad Pitt", "Julia Roberts" A APPENDIXES A.1
UNSUPERVISED RANKING EXPERIMENT DETAILS For our evaluation, we define a testing set that was not used to tune the parameters of the model.
For the IMDB dataset, we randomly select a 10% sample of the observations that contain a director that appears at least twice in the database 9 .
We do this to guarantee that the set of directors in the left-out dataset appear during training at least once, so that each respective algorithm can learn something about the characteristics of these directors.
For the educational dataset, our testing set only has observations of textbooks and users that appear at least 10 times in training.For both Feat2Vec and CBOW, we perform cross-validation on the loss function, by splitting the 10% of the training data randomly into a validation set, to determine the number of epochs to train, and then train the full training dataset with this number of epochs.10
While regularization of the embeddings during training is possible, this did not dramatically change results, so we ignore this dimension of hyperparameters.We rank left-out entity pairs in the test dataset using the ordinal ranking of the cosine similarity of target and input embeddings.
For the IMDB dataset, the target is the director embedding, and the input embedding is the sum of the cast member embeddings.
For the educational dataset, the target is the textbook embedding, and the input embedding is the user embedding.For training Feat2Vec we set α 1 = α 2 = 3/4 in the IMDB dataset; and α 1 = 0 and α 2 = 0.5 for the educational.
In each setting, α 2 is set to the same flattening hyperparameter we use for CBOW to negatively sample words in a document.
We learn r = 50 dimensional embeddings under both algorithms.Below we describe how CBOW is implemented on our datasets for unsupervised experiments and what extraction functions are used to represent features in the IMDB dataset.Word2Vec For every observation in each of the datasets, we create a document that tokenizes the same information that we feed into Feat2Vec.
We prepend each feature value by its feature name, and we remove spaces from within features.
In Figure A .2 we show an example document.
Some features may allow multiple values (e.g., multiple writers, directors).
To feed these features into the models, for convenience, we constraint the number of values, by truncating each feature to no more than 10 levels (and sometimes less if reasonable).
This results in retaining the full set of information for well over 95% of the values.
We pad the sequences with a "null" category whenever necessary to maintain a fixed length.
We do this consistently for both Word2Vec and Feat2Vec.
We use the CBOW Word2Vec algorithm and set the context window to encompass all other tokens in a document during training, since the text in this application is unordered.
Here, we explain how we build these functions:• Bag of categories, categorical, and boolean: For all of the categorical variables, we learn a unique r-dimensional embedding for each entity using a linear fully-connected layer (Equation 4).
We do not require one-hot encodings, and thus we allow multiple categories to be active; resulting in a single embedding for the group that is the sum of the embeddings of the subfeatures.
This is ordering-invariant: the embedding of "Brad Pitt" would be the same when he appears in a movie as a principal cast member, regardless whether he was 1st or 2nd star.
Though, if he were listed as a director it may result in a different embedding.•
Text: We preprocess the text by removing non alpha-numeric characters, stopwords, and stemming the remaining words. We
then follow the same approach that we did for categorical variables, summing learned word embeddings to a "title embedding" before interacting. It
would be easy to use more sophisticated methods (e.g, convolutions), but we felt this would not extract further information.• Real-valued
: For all real-valued features, we pass these features through a 3-layer feedforward fully connected neural network that outputs a vector of dimension r, which we treat as the feature's embedding. Each intermediate
layer has r units with relu activation functions. These real-valued
features highlight one of the advantages of the Feat2Vec algorithm: using a numeric value as an input, Feat2Vec can learn a highly nonlinear relation mapping a real number to our high-dimensional embedding space. In contrast, Word2Vec
would be unable to know ex ante that an IMDB rating of 5.5 is similar to 5.6. Figure A .3 shows the
full distribution of rankings of the IMDB dataset, rather than summary statistics, in the form of a Cumulative Distribution Function (CDF) of all rankings calculated in the test dataset. The graphic makes it
apparent for the vast majority of the ranking space, the rank CDF of Feat2Vec is to the left of CBOW, indicating a greater probability of a lower ranking under Feat2Vec. This is not, however
, the case at the upper tail of ranking space, where it appears CBOW is superior.

assistant: text: Learn dense vector representations of arbitrary types of features in labeled and unlabeled datasets