Match a recurring number pattern in data stream - javascript

I have an ongoing stream of data that consists of nothing but a single integer for every piece of data I receive.
So I get something like:
6462
6533
6536
6530
6462
376135
623437
616665
616362
616334
Here a graph of a complete pattern.
Now I know I will get a specific pattern in this stream of ints with a certain error margin, I know it will never be the exact same pattern but I will get a very similar one every now and then. Its a very high amplitude pattern similar to the numbers shown in the example. It basically oscillates between 3 states and shows a finer grained difference in every state but the interesting parts are the big differences.
I have no experience in pattern matching and analyzing data streams and no idea where to start. Ideally I would provide my code an data set and it would check if the incoming data stream is matching that data set by a certain margin.
Which is my biggest problem, I can't compare complete data sets, I have to compare a complete set with one that is being constantly generated and see if my pattern is starting to occur in this constant stream.
The main program is currently running in JavaScript/node.js and I'm not sure if JavaScript is suitable for this task but it would be great if I can stay in JavaScript.
Though if there are libraries that help with these kind of tasks in other languages I would be keen to test them out.

Related

Compare sound between source and microphone in JavaScript

I'm working about audio but I'm a newbie in this area. I would like to matching sound from microphone to my source audio(just only 1 sound) like Coke Ads from Shazam. Example Video (0.45 minute) However, I want to make it on website by JavaScript. Thank you.
Building something similar to the backend of Shazam is not an easy task. We need to:
Acquire audio from the user's microphone (easy)
Compare it to the source and identify a match (hmm... how do... )
How can we perform each step?
Aquire Audio
This one is a definite no biggy. We can use the Web Audio API for this. You can google around for good tutorials on how to use it. This link provides some good fundametal knowledge that you may want to understand when using it.
Compare Samples to Audio Source File
Clearly this piece is going to be an algorithmic challenge in a project like this. There are probably various ways to approach this part, and not enough time to describe them all here, but one feasible technique (which happens to be what Shazam actually uses), and which is also described in greater detail here, is to create and compare against a sort of fingerprint for smaller pieces of your source material, which you can generate using FFT analysis.
This works as follows:
Look at small sections of a sample no more than a few seconds long (note that this is done using a sliding window, not discrete partitioning) at a time
Calculate the Fourier Transform of the audio selection. This decomposes our selection into many signals of different frequencies. We can analyze the frequency domain of our sample to draw useful conclusions about what we are hearing.
Create a fingerprint for the selection by identifying critical values in the FFT, such as peak frequencies or magnitudes
If you want to be able to match multiple samples like Shazam does, you should maintain a dictionary of fingerprints, but since you only need to match one source material, you can just maintain them in a list. Since your keys are going to be an array of numerical values, I propose that another possible data structure to quickly query your dataset would be a k-d tree. I don't think Shazam uses one, but the more I think about it, the closer their system seems to an n-dimensional nearest neighbor search, if you can keep the amount of critical points consistent. For now though, just keep it simple, use a list.
Now we have a database of fingerprints primed and ready for use. We need to compare them against our microphone input now.
Sample our microphone input in small segments with a sliding window, the same way we did our sources.
For each segment, calculate the fingerprint, and see if it matches close to any from storage. You can look for a partial match here and there are lots of tweaks and optimizations you could try.
This is going to be a noisy and inaccurate signal so don't expect every segment to get a match. If lots of them are getting a match (you will have to figure out what lots means experimentally), then assume you have one. If there are relatively few matches, then figure you don't.
Conclusions
This is not going to be an super easy project to do well. The amount of tuning and optimization required will prove to be a challenge. Some microphones are inaccurate, and most environments have other sounds, and all of that will mess with your results, but it's also probably not as bad as it sounds. I mean, this is a system that from the outside seems unapproachably complex, and we just broke it down into some relatively simple steps.
Also as a final note, you mention Javascript several times in your post, and you may notice that I mentioned it zero times up until now in my answer, and that's because language of implementation is not an important factor. This system is complex enough that the hardest pieces to the puzzle are going to be the ones you solve on paper, so you don't need to think in terms of "how can I do X in Y", just figure out an algorithm for X, and the Y should come naturally.

Parse and predict tsv values for Highcharts gantt

I have to build a small management dashboard that consists of several parts. Most of them were no problem, but on the current page I got completely stuck.
Explanation:
I have used an example that I have found and some examples in the Highcharts forum to build my own chart.
The basic function is working, I am getting my data from a tsv file, building the arrays and displaying them.
Now comes the tricky part and I am not able to get my head around it…
The data I'm getting is live data from SAP and is the record of current production processes. (The provided dataset is a finished one, but later I want to display the actual live data.)
Since it is a pilot there is no chance to access the SAP database at the moment and I have to handle the data in tsv format.
There are 3 different states for each package.
B10: start
B30: pause
B40: stop
At the moment I am just separating all working packages and printing them, but according to the management here there are many functionalities missing.
Prerequisite: Refresh every x seconds
What they want (the easy version):
If one of the processes gets a B10, its starts “running” and its bar should get green. If there is no B30 in the next rows, the last point get’s the current time as “now” and is extending (the bar is growing).
If there is a B30, the process should “pause”, the color of the bar should change to red (including data points of that process) and only continue if there comes another B10. Between B30 and the new B10 there are no datapoints.
On B40 the process simply stops and turns grey again.
My problem: I have no single idea how I should analyze the “future” data (next steps). Should I separately run through the tsv again and check it for occurrences of B30 or B40 in advance? What’s making my life even more complicated is that two independent processes could run at the same time (for ex. Process 1 and Process 40). Also an indicator line should “run” to indicate the current time.
What they want in the future (or how I call it: nightmare):
2 or even more persons could work at the same process, but they always want to see just one bar per process… In the case of multiple operators it also has to be true that all operators have to set their status to B30, otherwise the process will not interrupted.
They further want to zoom into the current day with only the processes of the day, and if a process (for example 40) is started in “advance”, it should appear in the same zoom level. The processes for the day and a schedule will be provided in a separated file and I have to compare my data points to the schedule.
I know, it’s a weird explanation for a weird request. I also don't want anyone to give me a finished product, but I have to develop this here by myself and I just got a real problem with the logic. If I didn't explain well enough or there are further questions, please ask me and I will answer immediately.

Client side search engine optimization

Due to the reasons outlined in this question I am building my own client side search engine rather than using the ydn-full-text library which is based on fullproof. What it boils down to is that fullproof spawns "too freaking many records" in the order of 300.000 records whilst (after stemming) there are only about 7700 unique words. So my 'theory' is that fullproof is based on traditional assumptions which only apply to the server side:
Huge indices are fine
Processor power is expensive
(and the assumption of dealing with longer records which is just applicable to my case as my records are on average 24 words only1)
Whereas on the client side:
Huge indices take ages to populate
Processing power is still limited, but relatively cheaper than on the server side
Based on these assumptions I started of with an elementary inverted index (giving just 7700 records as IndexedDB is a document/nosql database). This inverted index has been stemmed using the Lancaster stemmer (most aggressive one of the two or three popular ones) and during a search I would retrieve the index for each of the words, assign a score based on overlap of the different indices and on similarity of typed word vs original (Jaro-Winkler distance).
Problem of this approach:
Combination of "popular_word + popular_word" is extremely expensive
So, finally getting to my question: How can I alleviate the above problem with a minimal growth of the index? I do understand that my approach will be CPU intensive, but as a traditional full text search index seems unusably big this seems to be the only reasonable road to go down on. (Pointing me to good resources or works is also appreciated)
1 This is a more or less artificial splitting of unstructured texts into small segments, however this artificial splitting is standardized in the relevant field so has been used here as well. I have not studied the effect on the index size of keeping these 'snippets' together and throwing huge chunks of texts at fullproof. I assume that this would not make a huge difference, but if I am mistaken then please do point this out.
This is a great question, thanks for bringing some quality to the IndexedDB tag.
While this answer isn't quite production ready, I wanted to let you know that if you launch Chrome with --enable-experimental-web-platform-features then there should be a couple features available that might help you achieve what you're looking to do.
IDBObjectStore.openKeyCursor() - value-free cursors, in case you can get away with the stem only
IDBCursor.continuePrimaryKey(key, primaryKey) - allows you to skip over items with the same key
I was informed of these via an IDB developer on the Chrome team and while I've yet to experiment with them myself this seems like the perfect use case.
My thought is that if you approach this problem with two different indexes on the same column, you might be able to get that join-like behavior you're looking for without bloating your stores with gratuitous indexes.
While consecutive writes are pretty terrible in IDB, reads are great. Good performance across 7700 entries should be quite tenable.

saving project as incremental json diffs?

I've been building a web paint program wherein the state of a user's artwork is saved as a json object. Every time I add to the client's undo stack (just an array of json objects describing the state of theproject), I want to save the state to the server too.
I am wondering if there an elegant way to [1] only send up the diffs and then [2] be able to download the project later and recreate the current state of the project? I fear this could get messy and am trending towards just uploading the complete json project state at every undo step. Any suggestions or pointers to projects which tackle this sort of problem gracefully?
Interesting - and pretty large - question.
A lot of implementations / patterns / solutions apply to this problem and they vary depending on the type of "document" you're keeping track of updates of.
Anyway, a simple approach to avoid getting mad is, instead than saving "states", saving "command which produced those states".
If your application is completely deterministic (which I assume it is, since it's a painting program), you can be sure that for every command at given time & position, the result will be the same at every execution.
So, I would instead note down an "alphabet" representing the commands available in your program:
Draw[x,y,size, color]
Erase[x,y,size]
Move[x,y]
and so on. You can take inspiration from SVG implementation. Then push/pull strings of commands to/from the server:
timestamp: MOVE[0,15]DRAW[15,20,4,#000000]ERASE[4,8,10]DRAW[15,20,4,#ff0000]
This is obviously only a general, pseudocoded idea. Hope you can get some inspiration.

Network-efficient difference between two strings in Javascript

I have a web application where a client side editor is editing a really really large text which is known on the server side.
The client can make any kind of modifications to this text.
What is the most network-efficient way to transmit the result difference in a way that the server understands? Also, since this will happen on client side (Javascript), I would also like it to be 'fast' (or at least not noticeably slow)
Some scenarios:
User modifies ONE character
User modifies several sentences in random positions
User erases everything and results in a blank text.
I cannot use diff-like syntax since it's not network efficent, it checks lines, where examples 1 and 3 will produce horrible differences (especially the last one, where the result will be more than the old itself).
Anyone has experience in this matter? User operates on a really large set of data - around 3-5MB of text, and uploading the whole "new" content is a big no-no.
To be clear, I'm looking for a "protocol" of transfer, string comparison is not the issue.
I'm not very familiar with this topic but I can point you to an open source (Apache License 2.0) project which may be very useful.
It is a Diff, Match and Patch library written in several languages, including JavaScript, from a Google engineer and it is used in several online collaborative editing services.
Here are a list of resources:
The Diff, Match and Patch project
The MobWrite project (Editor implementation based on the above project)
"Differential Synchronization" (A Google Tech Talk by the engineer)
A simple approach, assuming that you know the copy on the server isn't going to change, would just be to send a list of edits (deletions and additions), with the deletions represented as a start and end index, and the additions represented as a start index and the text to insert.
If you have more than a simple diff algorithm to work with (I'm not sure exactly what you mean by "string comparison is not the issue"), you could also detect moved or copied chunks of text, and send those as the start and end index of the moved or copied piece of text, as well as the destination to insert it.
Note that you'll need to make sure to keep track of whether your indices refer to the original document, or the document as edited so far. An easy approach to avoid this problem is to always perform the edits from the end of the document towards the beginning; then earlier edits won't affect the offsets specified by later edits.
For an example of an approach like this, see the ed format that diff -e outputs. This is basically input that could be fed into the ed line-oriented text editor. If you want the absolute smallest diffs to send across you may want to do character based indexing rather than line based indexing, but the same basic approach could work.
Any edits the user's performing can be efficiently broken down into: delete from X for length Y; insert at X text "whatever". X and Y are offsets in characters from the start of the text; Y is a number of characters; "whatever" is any string of characters. You say you need no help computing the diff, but an example is here, except it's richer in its output than you need, but does identify "removals and insertions", so, just change the output part.
The exact format in which you send the data to the server can be tuned, but I don't think there's much mileage in doing that -- pending measurement, I'd start by sending the commands as D for delete or I for insert, the numbers in decimal, the inserted string in quoted form. Once you have some statistics on actual transfers being performed, you can see how much overhead is in the numbers (decimal vs binary) and quotes, but I suspect that may not be all that meaningful (if it proves to be, there are all sort of things you can try, such as giving offsets from the latest point of insertion or deletion, rather than always from the start, to make things faster).
You can sample what the user is doing every few seconds, and just send the incremental changes over those last few seconds (if any) -- this way, each packet you're sending will be small, and if the net connection or the user's computer/browser crash, the user won't have lost much work.
You could just send changes every 500ms, so, whatever changes were made in the last 500ms would be sent, but you only send data when there was a change.
In this you could then send the position of the changed word(s) and just send the entire word, but I would have the position be from the front of the text.
It won't be several sentences worth, but there may be several words involved, but, if you send them in order of change then the result should be consistent.
Because there are so many ways to do edits--even within short periods of time like 500ms--including dragging and dropping, or cutting and pasting, large sections of text around within the document or from outside it--I don't know if there's going to be something that will cover all scenarios really well. This is certainly a non-answer to your question at face value, but I would consider carefully the trouble of developing and maintaining something like this compared to changing the interface to restrict the text size and breaking existing texts into smaller pieces.
Maybe that's not possible in your situation, but if it is, I would guess it would be much less trouble in the end to dodge the issue in this way and just send full documents after an edit.

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