What if you had Arrays of Matrices, or Arrays of Arrays of Matrices?  (e.g.
3d and 4d tensors)?

I implemented these for the MLPs (still WIP)

https://github.com/apache/mahout/pull/323/files#diff-cd8a7c5e2cf42b91b5aa47c96daf19c0R25

But those functions were specifically to overcome the challenges you
describe wrt neural network weight sets.

If you could use those as is- that would be awesome, if not maybe you'll
find inspiration there.



On Thu, Jun 22, 2017 at 6:43 PM, Aditya <adityasarma...@gmail.com> wrote:

> Hello everyone,
>
> I've been working for the past few weeks on coding an in-core DBSCAN
> algorithm.
>
> A more efficient version with an O(n*log(n)) complexity does exist but it
> uses the R-Tree data structure to index the data. I have a few
> concerns/questions and I'm hoping you would be able to help me out.
>
> 1. Based on my knowledge, using an indexing data structure like an R-Tree
> or a Kd-Tree is the only way to reduce the complexity of the dbscan
> algorithm. If there's any other method that you are familiar with, please
> let me know.
>
> 2. From what I've read in the book Apache Mahout: Beyond MapReduce written
> by Andrew and Dmitry, I don't see how I can directly exploit the existing
> data structures and operations to get the functionality of an R-Tree.
>
> 3. On the off chance that an R-Tree module has to built in Mahout, because
> it is not possible to easily use existing operations I need some insights
> as to how to go about it. I learned that everything in Mahout at the end
> should be serializable to a vector. I can't fathom how to do that
> intuitively in the case of an R-Tree
>
> There are a couple of other concerns that need to be discussed but these
> are vital at the moment.
>
> PS: The research paper that proposed the DBSCAN algorithm can be found here
> <https://www.aaai.org/Papers/KDD/1996/KDD96-037.pdf>.
>
> Thanks!
>
> -Aditya
>

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