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Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t48.24
you have two approaches. You have exhaustive which is comparing all of the data points. I'm just
48.24
58.96
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t54.88
going to call them vectors from now on because that's what we'll be using. So comparing all
54.88
69.52
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t58.96
these vectors and obviously it's slow. Approximate search allows us to approximate those vectors,
58.96
76
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t69.52000000000001
restrict our scope to a more relevant range of vectors and so on. So it cause a lot of different
69.52
80.24
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t76.0
techniques. It's not just one technique here. The one we're going to be covering today is
76
90.72
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t80.24
low-pass sensitive hashing. So at its core LSH is a hashing algorithm which attempts to
80.24
100.88
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t91.28
maximize hash collisions. So what we see on screen right now is a dictionary, like a typical
91.28
106
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t100.88
Python dictionary in the way that it hashes different items. So we have our keys which are
100.88
114.72
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t106.0
items that we're hashing. We process them through a hashing function and that hashing function
106
124
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t114.72
attempts to minimize hashing collisions e.g. to not put keys in the same bucket. It wants every
114.72
129.2
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t124.0
key to go to a separate bucket and then these are connected. Then they don't contain the values but
124
136.8
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t129.2
they're connected to the values that we relate back to our keys. So that's a Python dictionary.
129.2
143.28
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t136.79999999999998
That's our Python dictionary. But we're not wanting to minimize collisions. We are wanting
136.8
150.48
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t143.28
to maximize the collisions. So what we see here is a hashing function that maximizes those
143.28
159.44
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t150.48
collisions. So this is essentially what LSH is doing. So we are attempting to for any similar keys,
150.48
166.32
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t159.44
so these here and these here, they're all similar enough for us to want to put them
159.44
171.6
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t166.32
into the same buckets. So we've put two of them into here and then the other three into this
166.32
178.08
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t171.6
bucket. Now there are quite a few different ways of doing this and there are a lot of different
171.6
186.16
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t178.08
LSH methods. In fact, LSH is a very generic term that applies to a lot of different algorithms.
178.08
192.16
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t186.16000000000003
And the one that we will be covering is what I see as the traditional version. So it is the
186.16
200.56
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t192.72000000000003
original version of LSH. And what we'll be covering in this video is shingling, min hashing,
192.72
211.76
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t200.56
and that LSH function. So we'll get to understand why very soon. So here is the overview of the
200.56
218.96
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t211.76
process that we're going to be walking through. So we have shingling. So we have at the very start,
211.76
228.72
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t218.96
we have this text. So flying fish flew by the space station. Now that's just a string. And
218.96
237.28
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t228.72
what we want to do is extract all of the unique pairs of texts. So when we say shingling, it's
228.72
244.08
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t237.28
k shingling. And in this case, our k value is two because we're taking two characters at once. If
237.28
252.64
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t244.07999999999998
we were to take k equals four, for example, then we would take like pace and then move on, we take
244.08
260.48
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t252.64
ace and a space and so on. So that's the shingling. And from that, we create a set. So
252.64
269.92
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t261.28
if we have duplicate shingles, we remove those. So we just end up with one. So in this, I don't
261.28
276.96
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t269.91999999999996
know if we do have any duplicates, but say maybe down here, we have i n again, because we also have
269.92
284.16
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t276.96
it up here. We would end up with just a single i n in the set. You wouldn't have two. And then we
276.96
291.36
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t284.15999999999997
want to encode those. So that means we take a vocabulary from all of our texts and not just
284.16
295.52
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t291.35999999999996
this one sentence, but we'll have more than one sentence, obviously, that we're comparing. And
291.36
303.36
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t295.52
we'll use that to build a one vector from the vocab and our shingle set. Then we process that
295.52
309.12
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t303.36
through something called a min hash function, which produces this dense vector or signature.
303.36
315.92
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t309.12
So this thing down here, OK, that is what's called a signature.
309.12
328.16
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t320.64
And then we band that into this final bit here. This is our actual LSH process.
320.64
338
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t328.16
So we band that vector into multiple sub vectors and then we hash them. So where we find that we
328.16
343.68
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t338.0
have any two sub vectors go to the same hash bucket, then that means that the full vector
338
350.56
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t343.68
that they both come from is considered, or the two full vectors that they both come from are
343.68
356.48
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t350.56
considered a candidate pair. And we take those and we then calculate some other, we calculate
350.56
363.84
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t356.48
the similarity between them. OK, so first step in our process, like we discussed, is the shingling
356.48
372.24
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t363.84000000000003
operation. So shingling is simply where we take a window of length K characters and we simply move
363.84
379.28
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t372.24
that down through our text, like you can see here. And from that, we create the shingle set.
372.24
388.88
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t379.28
So in Python, what we do to shingle these three sentences we have here is we'll create a
379.28
396.48
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t389.67999999999995
shingle function here. And this is going to take some text, which is a string. And we're going to
389.68
402.32
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t396.47999999999996
say we're going to define the K values of the number of characters we take within each window,
396.48
407.52
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t402.32
which is obviously an integer. Now we initialize the value of the string.
402.32
415.6
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t407.52
Now we initialize our shingle set here. We'll make a string initially. And then what we do is
407.52
425.2
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t415.59999999999997
for i in range. And then here we want to go from the, or we want to go to the length of our text
415.6
435.12
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t427.68
minus K. So minus that window length plus one, because we want to go right up to the end of that.
427.68
442.32
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t435.12
And then here, all we do is shingle set dot append. And then we write,
435.12
447.84
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t442.32
so we have the text and we want to go from i up until i plus K.
442.32
458.8
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t450.16
Okay. That's our shingle list, I suppose. And then we want to return a set. So this will remove
450.16
467.36
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t458.8
any duplicates that we have. So shingle set. Okay. So that's our shingle function. And we
458.8
475.84
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t467.36
just want to process each one of our sentences through that. So we'll go A equals shingle A.
467.36
482.88
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t477.2
Also, we need to define K, which can be two. I'll just define K here.
477.2
492.64
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t482.88
Okay. And then let's have a look at what we have. And we see that we have this, it's shuffle.
482.88
501.52
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t492.64
There's no order to our set here. And we see that we have all of the pairs of words in there.
492.64
509.52
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t502.15999999999997
So we have S for the sort of the space part here or station actually could be either.
502.16
514.72
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t509.52
And if we try and find, okay, so here we have the very sorts of fly or flying.
509.52
523.6
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t515.52
You have the L Y there as well. Iron. So that's our shingle set. And with this,
515.52
530
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t523.6
we have all of our shingles. So the next step is to create our vocabulary, which is just
523.6
538.56
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t530.0
all of our shingles, our shingle sets, a union together. So to create that, all we do is
530
553.36
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t538.56
we go A union B dot union like that. You can see again, we have just a lot more text in there now,
538.56
561.76
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t553.3599999999999
or a lot more, many more shingles. That is our vocab. So now we have our shingle set and we have
553.36
570.96
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t561.76
our vocab. So we can tick both of those off. Now what we need to do is create our one encoding
561.76
579.12
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t571.68
over here. And the only other thing we need is a zero vector. So there's two, well, I mean,
571.68
583.2
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t579.12
there's more than two ways to do this, but I think there's two ways of thinking about it.
579.12
589.6
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t583.2
Normally the more efficient way would be to create a NumPy array full of zeros and then just
583.2
595.44
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t589.6
add the ones in where we have matches between our vocab and shingle set. But I'm not going to do
589.6
602.4
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t595.44
that. I'm just going to keep things like incredibly simple in the code that we're writing.
595.44
609.92
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t602.4
So I'm going to do A, it's one hot. Or the one thing we should do is make this a list because
602.4
620.96
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t609.92
we want order in our vocab and not have it shuffled. So what we do here is we say one for
609.92
637.44
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t621.5999999999999
x in A, or sorry, no, one if x is in A else zero for x in vocab. So what we're doing here is
621.6
643.84
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t637.44
what we're doing here is looping through the vocab and every single shingle within there,
637.44
651.84
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t643.84
we're saying if that exists in our signature, make that point in our list a one, otherwise
643.84
662.32
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t651.84
make it a zero. So that's simply our one hot encoding. So if we do ABC and then we have a look
651.84
671.12
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t662.32
at our A one hot, we see that we have this one hot encoded or this sparse array. Now,
662.32
678.32
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t671.9200000000001
min hashing is the next step in our process and it allows us to convert our what are currently
671.92
685.28
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t678.32
sparse vectors into dense vectors, which we call signatures. Now, what you see here is a run through
678.32
690.16
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t685.2800000000001
of how we do this for maybe one signature. We want to do that for multiple signatures though.
685.28
695.28
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t690.16
So we would actually run through this process multiple times. So what we're doing here is we're
690.16
704.16
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t695.28
creating a randomly permuted array, which counts from one to the length of our vocab. And then
695.28
710.08
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t704.56
what we are essentially doing, I know so in this web, we're basically shuffling it and then we're
704.56
716.4
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t710.0799999999999
counting through until we find the first alignment to one within our vector. In reality, you just
710.08
725.04
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t716.4
take all of your values and you find a minimum one that aligns to one. So that's if you're using
716.4
730
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t725.04
NumPy, which we'll see later on. I'll just show you the code, I'm not going to actually write all
725.04
739.68
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t730.0
of it though. So in code, that would look something like this. So we would start with a list, which is
730
748.64
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t739.68
the range from one to the length of our vocab. And if we have a look at that, we just say account.
739.68
754.72
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t749.28
We're going to shuffle that. So from random import shuffle.
749.28
766.48
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t759.52
And we just do it like this. So it modifies it in place. So we don't need to do anything there. So
759.52
767.84
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t766.48
let's view that.
766.48
778.8
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t773.6
Okay, so now we've shuffled that, shuffled it twice now, but that's fine.
773.6
788.32
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t779.9200000000001
And let's just loop through five of those. So four, we can look for more. Four i in range
779.92
802.16
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t788.32
from one to ten. What we're going to say is, I just want to print i, which aligns to the hash
788.32
813.6
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t802.1600000000001
sample index for that value. Okay, if we print that, we see so one, the value one, where is it?
802.16
824.96
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t813.6
Here is at index 85. Two is at 53 and so on. And essentially what we're doing here is saying,
813.6
836.48
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t826.0
loop through these, identify this index and this index in our one-hot vector. Does it align to a one?
826
843.28
Locality Sensitive Hashing (LSH) for Search with Shingling + MinHashing (Python)
2021-08-20 16:00:16 UTC
https://youtu.be/e_SBq3s20M8
e_SBq3s20M8
UCv83tO5cePwHMt1952IVVHw
e_SBq3s20M8-t836.48
And see that here, we find the first one at eight. And that means our signature value for this
836.48
852.64