I have a large sparse matrix representing attributes for millions of entities. For example, one record, representing an entity, might have attributes "has(fur)", "has(tail)", "makesSound(meow)", and "is(cat)".
However, this data is incomplete. For example, another entity might have all the attributes of a typical "is(cat)" entity, but it might be missing the "is(cat)" attribute. In this case, I want to determine the probability that this entity should have the "is(cat)" attribute.
So the problem I'm trying to solve is determining which missing attributes each entity should contain. Given an arbitrary record, I want to find the top N most likely attributes that are missing but should be included. I'm not sure what the formal name is for this type of problem, so I'm unsure what to search for when researching current solutions. Is there a scalable solution for this type of problem?
My first is to simply calculate the conditional probability for each missing attribute (e.g. P(is(cat)|has(fur) and has(tail) and ... )), but that seems like a very slow approach. Plus, as I understand the traditional calculation of conditional probability, I imagine I'd run into problems where my entity contains a few unusual attributes that aren't common with other is(cat) entities, causing the conditional probability to be zero.
My second idea is to train a Maximum Entropy classifier for each attribute, and then evaluate it based on the entity's current attributes. I think the probability calculation would be much more flexible, but this would still have scalability problems, since I'd have to train separate classifiers for potentially millions attributes. In addition, if I wanted to find the top N most likely attributes to include, I'd still have to evaluate all the classifiers, which would likely take forever.
Are there better solutions?
This sounds like a typical recommendation problem. For each attribute use the word 'movie rating' and for each row use the word 'person'. For each person, you want to find the movies that they will probably like but haven't rated yet.
You should look at some of the more successful approaches to the Netflix Challenge. The dataset is pretty large, so efficiency is a high priority. A good place to start might be the paper 'Matrix Factorization Techniques for Recommender Systems'.
If you have a large data set and you're worried about scalability, then I would look into Apache Mahout. Mahout is a Machine Learning and Data Mining library that might help you with your project, in particular they have some of the most well known algorithms already built-in:
Collaborative Filtering
User and Item based recommenders
K-Means, Fuzzy K-Means clustering
Mean Shift clustering
Dirichlet process clustering
Latent Dirichlet Allocation
Singular value decomposition
Parallel Frequent Pattern mining
Complementary Naive Bayes classifier
Random forest decision tree based classifier
High performance java collections (previously colt collections)
Related
I am facing a binary prediction task and have a set of features of which all are categorical. A key challenge is therefore to encode those categorical features to numbers and I was looking for smart ways to do so.
I stumbled over word2vec, which is mostly used for NLP, but I was wondering whether I could use it to encode my variables, i.e. simply take the weights of the neural net as the encoded features.
However, I am not sure, whether it is a good idea since, the context words, which serve as the input features in word2vec are in my case more or less random, in contrast to real sentences which word2vec was originially made for.
Do you guys have any advice, thoughts, recommendations on this?
You should look into entity embedding if you are searching for a way to utilize embeddings for categorical variables.
google has a good crash course on the topic: https://developers.google.com/machine-learning/crash-course/embeddings/categorical-input-data
this is a good paper on arxiv written by a team from a Kaggle competition: https://arxiv.org/abs/1604.06737
It's certainly possible to use the word2vec algorithm to train up 'dense embeddings' for things like keywords, tags, categories, and so forth. It's been done, sometimes beneficially.
Whether it's a good idea in your case will depend on your data & goals – the only way to know for sure is to try it, and evaluate the results versus your alternatives. (For example, if the number of categories is modest from a controlled vocabulary, one-hot encoding of the categories may be practical, and depending on the kind of binary classifier you use downstream, the classifier may itself be able to learn the same sorts of subtle interrelationships between categories that could also otherwise be learned via a word2vec model. On the other hand, if categories are very numerous & chaotic, the pre-step of 'compressing' them into a smaller-dimensional space, where similar categories have similar representational vectors, may be more helpful.)
That such tokens don't quite have the same frequency distributions & surrounding contexts as true natural language text may mean it's worth trying a wider range of non-default training options on any word2vec model.
In particular, if your categories don't have a natural ordering giving rise to meaningful near-neighbors relationships, using a giant window (so all words in a single 'text' are in each others' contexts) may be worth considering.
Recent versions of the Python gensim Word2Vec allow changing a parameter named ns_exponent – which was fixed at 0.75 in many early implementations, but at least one paper has suggested can usefully vary far from that value for certain corpus data and recommendation-like applications.
In this tutorial for "Training a Machine Learning Classifier for Relation Extraction from Medical Literature" the author does Entity replacement because that "we don’t want the model to learn according to a specific entity name, but we want it to learn according to the structure of the text".
Is this generally true or does it depend on the dataset or the used models?
Entity replacement, much like other text transformation techniques including stemming and lemmatization, is usually a part of the relationship extraction process because it increases the number of observation per feature. That increase in ratio might help your problem, depending on the size of the dataset, quality of features, type of feature extraction, and complexity of the model.
A good rule of thumb is to define your objective and subsequently your acceptable representation based on your understanding of the dataset. For instance, the given tutorial sets out to understand the relationship between miRNA and genes. The author is okay with grouping miRNA-335, miRNA-342, miRNA-100 and others, under the same entity name.
In scenarios, where you don't have domain understanding of the corpora, you can start out without entity replacement, inspect the result and understand the model's bias-variance tradeoff. Then, if required, try entity replacement after experimenting with some clustering techniques.
I'm trying to classify some data using knime with knime-labs deep learning plugin.
I have about 16.000 products in my DB, but I have about 700 of then that I know its category.
I'm trying to classify as much as possible using some DM (data mining) technique. I've downloaded some plugins to knime, now I have some deep learning tools as some text tools.
Here is my workflow, I'll use it to explain what I'm doing:
I'm transforming the product name into vector, than applying into it.
After I train a DL4J learner with DeepMLP. (I'm not really understand it all, it was the one that I thought I got the best results). Than I try to apply the model in the same data set.
I thought I would get the result with the predicted classes. But I'm getting a column with output_activations that looks that gets a pair of doubles. when sorting this column I get some related date close to each other. But I was expecting to get the classes.
Here is a print of the result table, here you can see the output with the input.
In columns selection it's getting just the converted_document and selected des_categoria as Label Column (learning node config). And in Predictor node I checked the "Append SoftMax Predicted Label?"
The nom_produto is the text column that I'm trying to use to predict the des_categoria column that it the product category.
I'm really newbie about DM and DL. If you could get me some help to solve what I'm trying to do would be awesome. Also be free to suggest some learning material about what attempting to achieve
PS: I also tried to apply it into the unclassified data (17,000 products), but I got the same result.
I won't answer with a workflow on this one because it is not going to be a simple one. However, be sure to find the text mining example on the KNIME server, i.e. the one that makes use of the bag of words approach.
The task
Product mapping to categories should be a straight-forward data mining task because the information that explains the target variable is available in a quasi-exhaustive manner. Depending on the number of categories to train though, there is a risk that you might need more than 700 instances to learn from.
Some resources
Here are some resources, only the first one being truly specialised in text mining:
Introduction on Information Retrieval, in particular chapter 13;
Data Science for Business is an excellent introduction to data mining, including text mining (chapter 10), also do not forget the chapter about similarity (chapter 6);
Machine Learning with R has the advantage of being accessible enough (chapter 4 provides an example of text classification with R code).
Preprocessing
First, you will have to preprocess your product labels a bit. Use KNIME's text analytics preprocessing nodes for that purpose, that is after you've transformed the product labels with Strings to Document:
Case Convert, Punctuation Erasure and Snowball Stemmer;
you probably won't need Stop Word Filter, however, there may be quasi-stop words such as "product", which you may need to remove manually with Dictionary Filter;
Be careful not to use any of the following without testing testing their impact first: N Chars Filter (g may be a useful word), Number Filter (numbers may indicate quantities, which may be useful for classification).
Should you encounter any trouble with the relevant nodes (e.g. Punctuation Erasure can be tricky amazingly thanks to the tokenizer), you can always apply String Manipulation with regex before converting the Strings to Document.
Keep it short and simple: the lookup table
You could build a lookup table based on the 700 training instances. The book Data mining techniques as well as resource (2) present this approach in some detail. If any model performs any worse than the lookup table, you should abandon the model.
Nearest neighbors
Neural networks are probably overkill for this task.
Start with a K Nearest Neighbor node (applying a string distance such as Cosine, Levensthein or Jaro-Winkler). This approach requires the least amount of data wrangling. At the very least, it will provide an excellent baseline model, so it is most definitely worth a shot.
You'll need to tune the parameter k and to experiment with the distance types. The Parameter Optimization Loop pair will help you with optimizing k, you can include a Cross-Validation meta node inside of the said loop to obtain an estimate of the expected performance given k instead of only one point estimate per value of k. Use Cohen's Kappa as an optimization criterion, as proposed by the resource number (3) and available via the Scorer node.
After the parameter tuning, you'll have to evaluate the relevance of your model using yet another Cross-Validation meta node, then follow up with a Loop pair including Scorer to calculate the descriptives on performance metric(s) per iteration, finally use Statistics. Kappa is a convenient metric for this task because the target variable consists of many product categories.
Don't forget to test its performance against the lookup table.
What next ?
Should lookup table or k-nn work well for you, then there's nothing else to add.
Should any of those approaches fail, you might want to analyse the precise cases on which it fails. In addition, training set size may be too low, so you could manually classify another few hundred or thousand instances.
If after increasing the training set size, you are still dealing with a bad model, you can try the bag of words approach together with a Naive Bayes classifier (see chapter 13 of the Information Retrieval reference). There is no room here to elaborate on the bag of words approach and Naive Bayes but you'll find the resources here above useful for that purpose.
One last note. Personally, I find KNIME's Naive Bayes node to perform poorly, probably because it does not implement Laplace smoothening. However, KNIME's R Learner and R Predictor nodes will allow you to use R's e1071 package, as demonstrated by resource (3).
I have a dataset of approx. 4800 rows with 22 attributes, all numerical, describing mostly the geometry of rock / minerals, and 3 different classes.
I tried out a cross validation with k-nn Model inside it, with k= 7 and Numerical Measure -> Camberra Distance as parameters set..and I got a performance of 82.53% and 0.673 kappa. Is that result representative for the dataset? I mean 82% is quite ok..
Before doing this, I evaluated the best subset of attributes with a decision table, I got out 6 different attributes for that.
the problem is, you still don't learn much from that kind of models, like instance-based k-nn. Can I get any more insight from knn? I don't know how to visualize the clusters in that high dimensional space in Rapidminer, is that somehow possible?
I tried decision tree on the data, but I got too much branches (300 or so) and it looked all too messy, the problem is, all numerical attributes have about the same mean and distribution, therefore its hard to get a distinct subset of meaningful attributes...
ideally, the staff wants to "Learn" something about the data, but my impression is, that you cannot learn much meaningful of that data, all that works best is "Blackbox" Learning models like Neural Nets, SVM, and those other instance-based models...
how should I proceed?
Welcome to the world of machine learning! This sounds like a classic real-world case: we want to make firm conclusions, but the data rows don't cooperate. :-)
Your goal is vague: "learn something"? I'm taking this to mean that you're investigating, hoping to find quantitative discriminations among the three classes.
First of all, I highly recommend Principal Component Analysis (PCA): find out whether you can eliminate some of these attributes by automated matrix operations, rather than a hand-built decision table. I expect that the messy branches are due to unfortunate choice of factors; decision trees work very hard at over-fitting. :-)
How clean are the separations of the data sets? Since you already used Knn, I'm hopeful that you have dense clusters with gaps. If so, perhaps a spectral clustering would help; these methods are good at classifying data based on gaps between the clusters, even if the cluster shapes aren't spherical. Interpretation depends on having someone on staff who can read eigenvectors, to interpret what the values mean.
Try a multi-class SVM. Start with 3 classes, but increase if necessary until your 3 expected classes appear. (Sometimes you get one tiny outlier class, and then two major ones get combined.) The resulting kernel functions and the placement of the gaps can teach you something about your data.
Try the Naive Bayes family, especially if you observe that the features come from a Gaussian or Bernoulli distribution.
As a holistic approach, try a neural net, but use something to visualize the neurons and weights. Letting the human visual cortex play with relationships can help extract subtle relationships.
I am doing a logistic regression to predict the outcome of a binary variable, say whether a journal paper gets accepted or not. The dependent variable or predictors are all the phrases used in these papers - (unigrams, bigrams, trigrams). One of these phrases has a skewed presence in the 'accepted' class. Including this phrase gives me a classifier with a very high accuracy (more than 90%), while removing this phrase results in accuracy dropping to about 70%.
My more general (naive) machine learning question is:
Is it advisable to remove such skewed features when doing classification?
Is there a method to check skewed presence for every feature and then decide whether to keep it in the model or not?
If I understand correctly you ask whether some feature should be removed because it is a good predictor (it makes your classifier works better). So the answer is short and simple - do not remove it in fact, the whole concept is to find exactly such features.
The only reason to remove such feature would be that this phenomena only occurs in the training set, and not in real data. But in such case you have wrong data - which does not represnt the underlying data density and you should gather better data or "clean" the current one so it has analogous characteristics as the "real ones".
Based on your comments, it sounds like the feature in your documents that's highly predictive of the class is a near-tautology: "paper accepted on" correlates with accepted papers because at least some of the papers in your database were scraped from already-accepted papers and have been annotated by the authors as such.
To me, this sounds like a useless feature for trying to predict whether a paper will be accepted, because (I'd imagine) you're trying to predict paper acceptance before the actual acceptance has been issued ! In such a case, none of the papers you'd like to test your algorithm with will be annotated with "paper accepted on." So, I'd remove it.
You also asked about how to determine whether a feature correlates strongly with one class. There are three things that come to mind for this problem.
First, you could just compute a basic frequency count for each feature in your dataset and compare those values across classes. This is probably not super informative, but it's easy.
Second, since you're using a log-linear model, you can train your model on your training dataset, and then rank each feature in your model by its weight in the logistic regression parameter vector. Features with high positive weight are indicative of one class, while features with large negative weight are strongly indicative of the other.
Finally, just for the sake of completeness, I'll point out that you might also want to look into feature selection. There are many ways of selecting relevant features for a machine learning algorithm, but I think one of the most intuitive from your perspective might be greedy feature elimination. In such an approach, you train a classifier using all N features in your model, and measure the accuracy on some held-out validation set. Then, train N new models, each with N-1 features, such that each model eliminates one of the N features, and measure the resulting drop in accuracy. The feature with the biggest drop was probably strongly predictive of the class, while features that have no measurable difference can probably be omitted from your final model. As larsmans points out correctly in the comments below, this doesn't scale well at all, but it can be a useful method sometimes.