Best practices for handling non decimal variables. [ACM KDD 2009 CUP] - machine-learning

For practice I decided to use neural network to solve problem of classification (2 classes) stated by ACM Special Interest Group on Knowledge Discovery and Data Mining at 2009 cup. The problem I have found is that the data set contains a lot of "empty" variables and I am not sure how to handle them. Furthermore second question appears. How to handle with other non decimals like strings. What are Your best practices?

Most approaches require numerical features, so the categorical ones have to be converted into counts. E.g. if a certain string is present among the attributes of an instance, it's count is 1, otherwise 0. If it occurs more than once, it's count increases correspondingly. From this point of view any feature that is not present (or "empty" as you put it) has a count of 0. Note that the attribute names have to be unique.

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Fasttext aligned word vectors for translating homographs

Homograph is a word that shares the same written form as another word but has a different meaning, like right in the sentences below:
success is about making the right decisions.
Turn right after the traffic light
The English word "right", in the first case is translated to Swedish as "rätt" and to "höger" in the second case. The correct translation is possible by looking at the context (surrounding words).
Question 1. I wonder if fasttext aligned word embedding can come to help for translating these homograph words or words with several possible translations into another language?
[EDIT] The goal is not to query the model for the right translation. The goal is to pick the right translation when the following information is given:
the two (or several) possible translations options in the target language like "rätt" and "höger"
the surrounding words in the source language
Question 2. I loaded the english pre-trained vectors model and the English aligned vector model. While both were trained on Wikipedia articles, I noticed that the distances between two words were sort of preserved but the size of the dataset files (wiki.en.vec vs wiki.en.align.vec) are noticeably different (1GB). Wouldn't it make sense if we only use the aligned version? What information is not captured by the aligned dataset?
For question 1, I suppose it's possible that these 'aligned' vectors could help translate homographs, but still face the problem that any token only has a single vector – even if that one token has multiple meanings.
Are you assuming that you already know that right[en] could be translated into either rätt[se] or höger[se], from some external table? (That is, you're not using the aligned word-vectors as the primary means of translation, just an adjunct to other methods?)
If so, one technique that might help would be to see which of rätt[se] or höger[se] is closer to other words that surround your particular instance of right[en]. (You might tally each's rank-closeness to every word within n spots of right[en], or calculate their cosine-similarity to the average of the n words around right[en], for example.)
(You could potentially even do this with non-aligned word vectors, if your more-precise words have multiple, alternate, non-homograph/non-polysemous translations in English. For example, to determine which sense of right[en] is more likely, you could use the non-aligned English word vectors for correct[en] and rightward[en] – less polysemous correlates of rätt[se] & höger[se] – to check for similarity-to-surrounding words.)
A write-up that might create other ideas is "Linear algebraic structure of word meanings" which, quite surprisingly, is able to tease-out alternate meanings of homograph tokens even when the original word-vectors training was not word-sense-aware. (Might the 'atoms of discourse' in their model be equally findable across merged/aligned multi-language vector spaces, and then the closeness-of-context-words to different atoms a good guide to word-sense-disambiguation?)
For question 2, you imply the aligned word set is smaller in size. Have you checked if that's just because it includes fewer words? That seems the simplest explanation, and just checking which words are left out would let you know what you're losing.

Is there a well-defined difference between "normalizing" and "canonicalizing" data?

I understand canonicalization and normalization to mean removing any non-meaningful or ambiguous parts of of a data's presentation, turning effectively identical data into actually identical data.
For example, if you want to get the hash of some input data and it's important that anyone else hashing the canonically same data gets the same hash, you don't want one file indenting with tabs and the other using spaces (and no other difference) to cause two very different hashes.
In the case of JSON:
object properties would be placed in a standard order (perhaps alphabetically)
unnecessary white spaces would be stripped
indenting either standardized or stripped
the data may even be re-modeled in an entirely new syntax, to enforce the above
Is my definition correct, and the terms are interchangeable? Or is there a well-defined and specific difference between canonicalization and normalization of input data?
"Canonicalize" & "normalize" (from "canonical (form)" & "normal form") are two related general mathematical terms that also have particular uses in particular contexts per some exact meaning given there. It is reasonable to label a particular process by one of those terms when the general meaning applies.
Your characterizations of those specific uses are fuzzy. The formal meanings for general & particular cases are more useful.
Sometimes given a bunch of things we partition them (all) into (disjoint) groups, aka equivalence classes, of ones that we consider to be in some particular sense similar or the same, aka equivalent. The members of a group/class are the same/equivalent according to some particular equivalence relation.
We pick a particular member as the representative thing from each group/class & call it the canonical form for that group & its members. Two things are equivalent exactly when they are in the same equivalence class. Two things are equivalent exactly when their canonical forms are equal.
A normal form might be a canonical form or just one of several distinguished members.
To canonicalize/normalize is to find or use a canonical/normal form of a thing.
Canonical form.
The distinction between "canonical" and "normal" forms varies by subfield. In most fields, a canonical form specifies a unique representation for every object, while a normal form simply specifies its form, without the requirement of uniqueness.
Applying the definition to your example: Have you a bunch of values that you are partitioning & are you picking some member(s) per each class instead of the other members of that class? Well you have JSON values and short of re-modeling them you are partitioning them per what same-class member they map to under a function. So you can reasonably call the result JSON values canonical forms of the inputs. If you characterize re-modeling as applicable to all inputs then you can also reasonably call the post-re-modeling form of those canonical values canonical forms of re-modeled input values. But if not then people probably won't complain that you call the re-modeled values canonical forms of the input values even though technically they wouldn't be.
Consider a set of objects, each of which can have multiple representations. From your example, that would be the set of JSON objects and the fact that each object has multiple valid representations, e.g., each with different permutations of its members, less white spaces, etc.
Canonicalization is the process of converting any representation of a given object to one and only one, unique per object, representation (a.k.a, canonical form). To test whether two representations are of the same object, it suffices to test equality on their canonical forms, see also wikipedia's definition.
Normalization is the process of converting any representation of a given object to a set of representations (a.k.a., "normal forms") that is unique per object. In such case, equality between two representations is achieved by "subtracting" their normal forms and comparing the result with a normal form of "zero" (typically a trivial comparison). Normalization may be a better option when canonical forms are difficult to implement consistently, e.g., because they depend on arbitrary choices (like ordering of variables).
Section 1.2 from the "A=B" book, has some really good examples for both concepts.

How to use word embeddings/word2vec .. differently? With an actual, physical dictionary

If my title is incorrect/could be better, please let me know.
I've been trying to find an existing paper/article describing the problem that I'm having: I'm trying to create vectors for words so that they are equal to the sum of their parts.
For example: Cardinal(the bird) would be equal to the vectors of: red, bird, and ONLY that.
In order to train such a model, the input might be something like a dictionary, where each word is defined by it's attributes.
Something like:
Cardinal: bird, red, ....
Bluebird: blue, bird,....
Bird: warm-blooded, wings, beak, two eyes, claws....
Wings: Bone, feather....
So in this instance, each word-vector is equal to the sum of the word-vector of its parts, and so on.
I understand that in the original word2vec, semantic distance was preserved, such that Vec(Madrid)-Vec(Spain)+Vec(Paris) = approx Vec(Paris).
Thanks!
PS: Also, if it's possible, new words should be able to be added later on.
If you're going to be building a dictionary of the components you want, you don't really need word2vec at all. You've already defined the dimensions you want specified: just use them, e.g. in Python:
kb = {"wings": {"bone", "feather"},
"bird": {"wings", "warm-blooded", ...}, ...}
Since the values are sets, you can do set intersection:
kb["bird"] | kb["reptile"]
You'll need to do find some ways decompose the elements recursively for comparisons, simplifications, etc. These are decisions you'll have to make based on what you expect to happen during such operations.
This sort of manual dictionary development is quite an old fashioned approach. Folks like Schank and Abelson used to do stuff like this in the 1970's. The problem is, as these dictionaries get more complex, they become intractable to maintain and more inaccurate in their approximations. You're welcome to try as an exercise---it can be kind of fun!---but keep your expectations low.
You'll also find aspects of meaning lost in these sorts of decompositions. One of word2vec's remarkable properties is its sensitives to the gestalt of words---words may have meaning that is composed of parts, but there's a piece in that composition that makes the whole greater than the sum of the parts. In a decomposition, the gestalt is lost.
Rather than trying to build a dictionary, you might be best off exploring what W2V gives you anyway, from a large corpus, and seeing how you can leverage that information to your advantage. The linguistics of what exactly W2V renders from text aren't wholly understood, but in trying to do something specific with the embeddings, you might learn something new about language.

Rails - Simplifying calculation models & objects

I have asked a few questions about this recently and I am getting where I need to go, but have perhaps not been specific enough in my last questions to get all the way there. So, I am trying to put together a structure for calculating some metrics based on app data, which should be flexible to allow additional metrics to be added easily (and securely), and also relatively simple to use in my views.
The overall goal is that I will be able to have a custom helper that allows something like the following in my view:
calculate_metric(#metrics.where(:name => 'profit'),#customer,#start_date,#end_date)
This should be fairly self explanatory - the name can be substituted to any of the available metric names, and the calculation can be performed for any customer or group of customers, for any given time period.
Where the complexity arises is in how to store the formula for calculating the metric - I have shown below the current structure that I have put together for doing this:
You will note that the key models are metric, operation, operation_type and operand. This kind of structure works ok when the formula is very simple, like profit - one would only have two operands, #customer.sales.selling_price.sum and #customer.sales.cost_price.sum, with one operation of type subtraction. Since we don't need to store any intermediate values, register_target will be 1, as will return_register.
I don't think I need to write out a full example to show where it becomes more complicated, but suffice to say if I wanted to calculate the percentage of customers with email addresses for customers who opened accounts between two dates (but did not necessarily buy), this would become much more complex since the helper function would need to know how to handle the date variations.
As such, it seems like this structure is overly complicated, and would be hard to use for anything other than a simple formula - can anyone suggest a better way of approaching this problem?
EDIT: On the basis of the answer from Railsdog, I have made some slight changes to my model, and re-uploaded the diagram for clarity. Essentially, I have ensured that the reporting_category model can be used to hide intermediate operands from users, and that operands that may be used in user calculations can be presented in a categorised format. All I need now is for someone to assist me in modifying my structure to allow an operation to use either an actual operand or the result of a previous operation in a rails-esqe way.
Thanks for all of your help so far!
Oy vey. It's been years (like 15) since I did something similar to what it seems like you are attempting. My app was used to model particulate deposition rates for industrial incinerators.
In the end, all the computations boiled down to two operands and an operator (order of operations, parentheticals, etc). Operands were either constants, db values, or the result of another computation (a pointer to another computation). Any Operand (through model methods) could evaluate itself, whether that value was intrinsic, or required a child computation to evaluate itself first.
The interface wasn't particularly elegant (that's the real challenge I think), but the users were scientists, and they understood the computation decomposition.
Thinking about your issue, I'd have any individual Metric able to return it's value, and create the necessary methods to arrive at that answer. After all, a single metric just needs to know how to combine it's two operands using the indicated operator. If an operand is itself a metric, you just ask it what it's value is.

How to detect tabular data from a variety of sources

In an experimental project I am playing with I want to be able to look at textual data and detect whether it contains data in a tabular format. Of course there are a lot of cases that could look like tabular data, so I was wondering what sort of algorithm I'd need to research to look for common features.
My first thought was to write a long switch/case statement that checked for data seperated by tabs, and then another case for data separated by pipe symbols and then yet another case for data separated in another way etc etc. Now of course I realize that I would have to come up with a list of different things to detect - but I wondered if there was a more intelligent way of detecting these features than doing a relatively slow search for each type.
I realize this question isn't especially eloquently put so I hope it makes some sense!
Any ideas?
(no idea how to tag this either - so help there is welcomed!)
The only reliable scheme would be to use machine-learning. You could, for example, train a perceptron classifier on a stack of examples of tabular and non-tabular materials.
A mixed solution might be appropriate, i.e. one whereby you handled the most common/obvious cases with simple heuristics (handled in "switch-like" manner) as you suggested, and to leave the harder cases, for automated-learning and other types of classifier-logic.
This assumes that you do not already have a defined types stored in the TSV.
A TSV file is typically
[Value1]\t[Value..N]\n
My suggestion would be to:
Count up all the tabs
Count up all of new lines
Count the total tabs in the first row
Divide the total number of tabs by the tabs in the first row
With the result of 4, if you get a remainder of 0 then you have a candidate of TSV files. From there you may either want to do the following things:
You can continue reading the data and ignoring the error of lines with less or more than the predicted tabs per line
You can scan each line before reading to make sure all are consistent
You can read up to the line that does not fit the format and then throw an error
Once you have a good prediction of the amount of tab separated values you can use a regular expression to parse out the values [as a group].

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