I've had some email exchanges with the author of BIDMat: it does exactly
what you need to get the GPU benefit and writes higher level algorithms
entirely in the GPU kernels so that the memory stays there as long as
possible. The restriction with this approach is that it is only offering
high-level algorithms so is not a toolkit for applied mathematics
research and development --- but it works well as a toolkit for higher
level analysis (e.g. for analysts and practitioners).

I believe BIDMat's approach is the best way to get performance out of
GPU hardware at the moment but I also have strong evidence to suggest
that the hardware will catch up and the memory transfer costs between
CPU/GPU will disappear meaning that there will be no need for custom GPU
kernel implementations. i.e. please continue to use BLAS primitives when
writing new algorithms and only go to the GPU for an alternative
optimised implementation.

Note that CUDA and cuBLAS are *not* BLAS. They are BLAS-like, and offer
an API that looks like BLAS but takes pointers to special regions in the
GPU memory region. Somebody has written a wrapper around CUDA to create
a proper BLAS library but it only gives marginal performance over the
CPU because of the memory transfer overhead.

This slide from my talk

  http://fommil.github.io/scalax14/#/11/2

says it all. X axis is matrix size, Y axis is logarithmic time to do
DGEMM. Black line is the "cheating" time for the GPU and the green line
is after copying the memory to/from the GPU memory. APUs have the
potential to eliminate the green line.

Best regards,
Sam


"Ulanov, Alexander" <alexander.ula...@hp.com> writes:

> Evan, thank you for the summary. I would like to add some more observations. 
> The GPU that I used is 2.5 times cheaper than the CPU ($250 vs $100). They 
> both are 3 years old. I've also did a small test with modern hardware, and 
> the new GPU nVidia Titan was slightly more than 1 order of magnitude faster 
> than Intel E5-2650 v2 for the same tests. However, it costs as much as CPU 
> ($1200). My takeaway is that GPU is making a better price/value progress.
>
>
>
> Xiangrui, I was also surprised that BIDMat-cuda was faster than netlib-cuda 
> and the most reasonable explanation is that it holds the result in GPU 
> memory, as Sam suggested. At the same time, it is OK because you can copy the 
> result back from GPU only when needed. However, to be sure, I am going to ask 
> the developer of BIDMat on his upcoming talk.
>
>
>
> Best regards, Alexander
>
>
> From: Sam Halliday [mailto:sam.halli...@gmail.com]
> Sent: Thursday, February 26, 2015 1:56 PM
> To: Xiangrui Meng
> Cc: dev@spark.apache.org; Joseph Bradley; Ulanov, Alexander; Evan R. Sparks
> Subject: Re: Using CUDA within Spark / boosting linear algebra
>
>
> Btw, I wish people would stop cheating when comparing CPU and GPU timings for 
> things like matrix multiply :-P
>
> Please always compare apples with apples and include the time it takes to set 
> up the matrices, send it to the processing unit, doing the calculation AND 
> copying it back to where you need to see the results.
>
> Ignoring this method will make you believe that your GPU is thousands of 
> times faster than it really is. Again, jump to the end of my talk for graphs 
> and more discussion....  especially the bit about me being keen on funding to 
> investigate APU hardware further ;-) (I believe it will solve the problem)
> On 26 Feb 2015 21:16, "Xiangrui Meng" 
> <men...@gmail.com<mailto:men...@gmail.com>> wrote:
> Hey Alexander,
>
> I don't quite understand the part where netlib-cublas is about 20x
> slower than netlib-openblas. What is the overhead of using a GPU BLAS
> with netlib-java?
>
> CC'ed Sam, the author of netlib-java.
>
> Best,
> Xiangrui
>
> On Wed, Feb 25, 2015 at 3:36 PM, Joseph Bradley 
> <jos...@databricks.com<mailto:jos...@databricks.com>> wrote:
>> Better documentation for linking would be very helpful!  Here's a JIRA:
>> https://issues.apache.org/jira/browse/SPARK-6019
>>
>>
>> On Wed, Feb 25, 2015 at 2:53 PM, Evan R. Sparks 
>> <evan.spa...@gmail.com<mailto:evan.spa...@gmail.com>>
>> wrote:
>>
>>> Thanks for compiling all the data and running these benchmarks, Alex. The
>>> big takeaways here can be seen with this chart:
>>>
>>> https://docs.google.com/spreadsheets/d/1aRm2IADRfXQV7G2vrcVh4StF50uZHl6kmAJeaZZggr0/pubchart?oid=1899767119&format=interactive
>>>
>>> 1) A properly configured GPU matrix multiply implementation (e.g.
>>> BIDMat+GPU) can provide substantial (but less than an order of magnitude)
>>> benefit over a well-tuned CPU implementation (e.g. BIDMat+MKL or
>>> netlib-java+openblas-compiled).
>>> 2) A poorly tuned CPU implementation can be 1-2 orders of magnitude worse
>>> than a well-tuned CPU implementation, particularly for larger matrices.
>>> (netlib-f2jblas or netlib-ref) This is not to pick on netlib - this
>>> basically agrees with the authors own benchmarks (
>>> https://github.com/fommil/netlib-java)
>>>
>>> I think that most of our users are in a situation where using GPUs may not
>>> be practical - although we could consider having a good GPU backend
>>> available as an option. However, *ALL* users of MLlib could benefit
>>> (potentially tremendously) from using a well-tuned CPU-based BLAS
>>> implementation. Perhaps we should consider updating the mllib guide with a
>>> more complete section for enabling high performance binaries on OSX and
>>> Linux? Or better, figure out a way for the system to fetch these
>>> automatically.
>>>
>>> - Evan
>>>
>>>
>>>
>>> On Thu, Feb 12, 2015 at 4:18 PM, Ulanov, Alexander <
>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>> wrote:
>>>
>>>> Just to summarize this thread, I was finally able to make all performance
>>>> comparisons that we discussed. It turns out that:
>>>> BIDMat-cublas>>BIDMat
>>>> MKL==netlib-mkl==netlib-openblas-compiled>netlib-openblas-yum-repo==netlib-cublas>netlib-blas>f2jblas
>>>>
>>>> Below is the link to the spreadsheet with full results.
>>>>
>>>> https://docs.google.com/spreadsheets/d/1lWdVSuSragOobb0A_oeouQgHUMx378T9J5r7kwKSPkY/edit?usp=sharing
>>>>
>>>> One thing still needs exploration: does BIDMat-cublas perform copying
>>>> to/from machine’s RAM?
>>>>
>>>> -----Original Message-----
>>>> From: Ulanov, Alexander
>>>> Sent: Tuesday, February 10, 2015 2:12 PM
>>>> To: Evan R. Sparks
>>>> Cc: Joseph Bradley; dev@spark.apache.org<mailto:dev@spark.apache.org>
>>>> Subject: RE: Using CUDA within Spark / boosting linear algebra
>>>>
>>>> Thanks, Evan! It seems that ticket was marked as duplicate though the
>>>> original one discusses slightly different topic. I was able to link netlib
>>>> with MKL from BIDMat binaries. Indeed, MKL is statically linked inside a
>>>> 60MB library.
>>>>
>>>> |A*B  size | BIDMat MKL | Breeze+Netlib-MKL  from BIDMat|
>>>> Breeze+Netlib-OpenBlas(native system)| Breeze+Netlib-f2jblas |
>>>> +-----------------------------------------------------------------------+
>>>> |100x100*100x100 | 0,00205596 | 0,000381 | 0,03810324 | 0,002556 |
>>>> |1000x1000*1000x1000 | 0,018320947 | 0,038316857 | 0,51803557
>>>> |1,638475459 |
>>>> |10000x10000*10000x10000 | 23,78046632 | 32,94546697 |445,0935211 |
>>>> 1569,233228 |
>>>>
>>>> It turn out that pre-compiled MKL is faster than precompiled OpenBlas on
>>>> my machine. Probably, I’ll add two more columns with locally compiled
>>>> openblas and cuda.
>>>>
>>>> Alexander
>>>>
>>>> From: Evan R. Sparks 
>>>> [mailto:evan.spa...@gmail.com<mailto:evan.spa...@gmail.com>]
>>>> Sent: Monday, February 09, 2015 6:06 PM
>>>> To: Ulanov, Alexander
>>>> Cc: Joseph Bradley; dev@spark.apache.org<mailto:dev@spark.apache.org>
>>>> Subject: Re: Using CUDA within Spark / boosting linear algebra
>>>>
>>>> Great - perhaps we can move this discussion off-list and onto a JIRA
>>>> ticket? (Here's one: https://issues.apache.org/jira/browse/SPARK-5705)
>>>>
>>>> It seems like this is going to be somewhat exploratory for a while (and
>>>> there's probably only a handful of us who really care about fast linear
>>>> algebra!)
>>>>
>>>> - Evan
>>>>
>>>> On Mon, Feb 9, 2015 at 4:48 PM, Ulanov, Alexander <
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>>>
>>>>  wrote:
>>>> Hi Evan,
>>>>
>>>> Thank you for explanation and useful link. I am going to build OpenBLAS,
>>>> link it with Netlib-java and perform benchmark again.
>>>>
>>>> Do I understand correctly that BIDMat binaries contain statically linked
>>>> Intel MKL BLAS? It might be the reason why I am able to run BIDMat not
>>>> having MKL BLAS installed on my server. If it is true, I wonder if it is OK
>>>> because Intel sells this library. Nevertheless, it seems that in my case
>>>> precompiled MKL BLAS performs better than precompiled OpenBLAS given that
>>>> BIDMat and Netlib-java are supposed to be on par with JNI overheads.
>>>>
>>>> Though, it might be interesting to link Netlib-java with Intel MKL, as
>>>> you suggested. I wonder, are John Canny (BIDMat) and Sam Halliday
>>>> (Netlib-java) interested to compare their libraries.
>>>>
>>>> Best regards, Alexander
>>>>
>>>> From: Evan R. Sparks 
>>>> [mailto:evan.spa...@gmail.com<mailto:evan.spa...@gmail.com><mailto:
>>>> evan.spa...@gmail.com<mailto:evan.spa...@gmail.com>>]
>>>> Sent: Friday, February 06, 2015 5:58 PM
>>>>
>>>> To: Ulanov, Alexander
>>>> Cc: Joseph Bradley; 
>>>> dev@spark.apache.org<mailto:dev@spark.apache.org><mailto:dev@spark.apache.org<mailto:dev@spark.apache.org>>
>>>> Subject: Re: Using CUDA within Spark / boosting linear algebra
>>>>
>>>> I would build OpenBLAS yourself, since good BLAS performance comes from
>>>> getting cache sizes, etc. set up correctly for your particular hardware -
>>>> this is often a very tricky process (see, e.g. ATLAS), but we found that on
>>>> relatively modern Xeon chips, OpenBLAS builds quickly and yields
>>>> performance competitive with MKL.
>>>>
>>>> To make sure the right library is getting used, you have to make sure
>>>> it's first on the search path - export
>>>> LD_LIBRARY_PATH=/path/to/blas/library.so will do the trick here.
>>>>
>>>> For some examples of getting netlib-java setup on an ec2 node and some
>>>> example benchmarking code we ran a while back, see:
>>>> https://github.com/shivaram/matrix-bench
>>>>
>>>> In particular - build-openblas-ec2.sh shows you how to build the library
>>>> and set up symlinks correctly, and scala/run-netlib.sh shows you how to get
>>>> the path setup and get that library picked up by netlib-java.
>>>>
>>>> In this way - you could probably get cuBLAS set up to be used by
>>>> netlib-java as well.
>>>>
>>>> - Evan
>>>>
>>>> On Fri, Feb 6, 2015 at 5:43 PM, Ulanov, Alexander <
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>>>
>>>>  wrote:
>>>> Evan, could you elaborate on how to force BIDMat and netlib-java to force
>>>> loading the right blas? For netlib, I there are few JVM flags, such as
>>>> -Dcom.github.fommil.netlib.BLAS=com.github.fommil.netlib.F2jBLAS, so I can
>>>> force it to use Java implementation. Not sure I understand how to force use
>>>> a specific blas (not specific wrapper for blas).
>>>>
>>>> Btw. I have installed openblas (yum install openblas), so I suppose that
>>>> netlib is using it.
>>>>
>>>> From: Evan R. Sparks 
>>>> [mailto:evan.spa...@gmail.com<mailto:evan.spa...@gmail.com><mailto:
>>>> evan.spa...@gmail.com<mailto:evan.spa...@gmail.com>>]
>>>> Sent: Friday, February 06, 2015 5:19 PM
>>>> To: Ulanov, Alexander
>>>> Cc: Joseph Bradley; 
>>>> dev@spark.apache.org<mailto:dev@spark.apache.org><mailto:dev@spark.apache.org<mailto:dev@spark.apache.org>>
>>>>
>>>> Subject: Re: Using CUDA within Spark / boosting linear algebra
>>>>
>>>> Getting breeze to pick up the right blas library is critical for
>>>> performance. I recommend using OpenBLAS (or MKL, if you already have it).
>>>> It might make sense to force BIDMat to use the same underlying BLAS library
>>>> as well.
>>>>
>>>> On Fri, Feb 6, 2015 at 4:42 PM, Ulanov, Alexander <
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>>>
>>>>  wrote:
>>>> Hi Evan, Joseph
>>>>
>>>> I did few matrix multiplication test and BIDMat seems to be ~10x faster
>>>> than netlib-java+breeze (sorry for weird table formatting):
>>>>
>>>> |A*B  size | BIDMat MKL | Breeze+Netlib-java native_system_linux_x86-64|
>>>> Breeze+Netlib-java f2jblas |
>>>> +-----------------------------------------------------------------------+
>>>> |100x100*100x100 | 0,00205596 | 0,03810324 | 0,002556 |
>>>> |1000x1000*1000x1000 | 0,018320947 | 0,51803557 |1,638475459 |
>>>> |10000x10000*10000x10000 | 23,78046632 | 445,0935211 | 1569,233228 |
>>>>
>>>> Configuration: Intel(R) Xeon(R) CPU E31240 3.3 GHz, 6GB RAM, Fedora 19
>>>> Linux, Scala 2.11.
>>>>
>>>> Later I will make tests with Cuda. I need to install new Cuda version for
>>>> this purpose.
>>>>
>>>> Do you have any ideas why breeze-netlib with native blas is so much
>>>> slower than BIDMat MKL?
>>>>
>>>> Best regards, Alexander
>>>>
>>>> From: Joseph Bradley 
>>>> [mailto:jos...@databricks.com<mailto:jos...@databricks.com><mailto:
>>>> jos...@databricks.com<mailto:jos...@databricks.com>>]
>>>> Sent: Thursday, February 05, 2015 5:29 PM
>>>> To: Ulanov, Alexander
>>>> Cc: Evan R. Sparks; 
>>>> dev@spark.apache.org<mailto:dev@spark.apache.org><mailto:dev@spark.apache.org<mailto:dev@spark.apache.org>>
>>>> Subject: Re: Using CUDA within Spark / boosting linear algebra
>>>>
>>>> Hi Alexander,
>>>>
>>>> Using GPUs with Spark would be very exciting.  Small comment: Concerning
>>>> your question earlier about keeping data stored on the GPU rather than
>>>> having to move it between main memory and GPU memory on each iteration, I
>>>> would guess this would be critical to getting good performance.  If you
>>>> could do multiple local iterations before aggregating results, then the
>>>> cost of data movement to the GPU could be amortized (and I believe that is
>>>> done in practice).  Having Spark be aware of the GPU and using it as
>>>> another part of memory sounds like a much bigger undertaking.
>>>>
>>>> Joseph
>>>>
>>>> On Thu, Feb 5, 2015 at 4:59 PM, Ulanov, Alexander <
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>>>
>>>>  wrote:
>>>> Thank you for explanation! I’ve watched the BIDMach presentation by John
>>>> Canny and I am really inspired by his talk and comparisons with Spark 
>>>> MLlib.
>>>>
>>>> I am very interested to find out what will be better within Spark: BIDMat
>>>> or netlib-java with CPU or GPU natives. Could you suggest a fair way to
>>>> benchmark them? Currently I do benchmarks on artificial neural networks in
>>>> batch mode. While it is not a “pure” test of linear algebra, it involves
>>>> some other things that are essential to machine learning.
>>>>
>>>> From: Evan R. Sparks 
>>>> [mailto:evan.spa...@gmail.com<mailto:evan.spa...@gmail.com><mailto:
>>>> evan.spa...@gmail.com<mailto:evan.spa...@gmail.com>>]
>>>> Sent: Thursday, February 05, 2015 1:29 PM
>>>> To: Ulanov, Alexander
>>>> Cc: 
>>>> dev@spark.apache.org<mailto:dev@spark.apache.org><mailto:dev@spark.apache.org<mailto:dev@spark.apache.org>>
>>>> Subject: Re: Using CUDA within Spark / boosting linear algebra
>>>>
>>>> I'd be surprised of BIDMat+OpenBLAS was significantly faster than
>>>> netlib-java+OpenBLAS, but if it is much faster it's probably due to data
>>>> layout and fewer levels of indirection - it's definitely a worthwhile
>>>> experiment to run. The main speedups I've seen from using it come from
>>>> highly optimized GPU code for linear algebra. I know that in the past Canny
>>>> has gone as far as to write custom GPU kernels for performance-critical
>>>> regions of code.[1]
>>>>
>>>> BIDMach is highly optimized for single node performance or performance on
>>>> small clusters.[2] Once data doesn't fit easily in GPU memory (or can be
>>>> batched in that way) the performance tends to fall off. Canny argues for
>>>> hardware/software codesign and as such prefers machine configurations that
>>>> are quite different than what we find in most commodity cluster nodes -
>>>> e.g. 10 disk cahnnels and 4 GPUs.
>>>>
>>>> In contrast, MLlib was designed for horizontal scalability on commodity
>>>> clusters and works best on very big datasets - order of terabytes.
>>>>
>>>> For the most part, these projects developed concurrently to address
>>>> slightly different use cases. That said, there may be bits of BIDMach we
>>>> could repurpose for MLlib - keep in mind we need to be careful about
>>>> maintaining cross-language compatibility for our Java and Python-users,
>>>> though.
>>>>
>>>> - Evan
>>>>
>>>> [1] - http://arxiv.org/abs/1409.5402
>>>> [2] - http://eecs.berkeley.edu/~hzhao/papers/BD.pdf
>>>>
>>>> On Thu, Feb 5, 2015 at 1:00 PM, Ulanov, Alexander <
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>><mailto:
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>>>>
>>>>  wrote:
>>>> Hi Evan,
>>>>
>>>> Thank you for suggestion! BIDMat seems to have terrific speed. Do you
>>>> know what makes them faster than netlib-java?
>>>>
>>>> The same group has BIDMach library that implements machine learning. For
>>>> some examples they use Caffe convolutional neural network library owned by
>>>> another group in Berkeley. Could you elaborate on how these all might be
>>>> connected with Spark Mllib? If you take BIDMat for linear algebra why don’t
>>>> you take BIDMach for optimization and learning?
>>>>
>>>> Best regards, Alexander
>>>>
>>>> From: Evan R. Sparks 
>>>> [mailto:evan.spa...@gmail.com<mailto:evan.spa...@gmail.com><mailto:
>>>> evan.spa...@gmail.com<mailto:evan.spa...@gmail.com>><mailto:evan.spa...@gmail.com<mailto:evan.spa...@gmail.com><mailto:
>>>> evan.spa...@gmail.com<mailto:evan.spa...@gmail.com>>>]
>>>> Sent: Thursday, February 05, 2015 12:09 PM
>>>> To: Ulanov, Alexander
>>>> Cc: 
>>>> dev@spark.apache.org<mailto:dev@spark.apache.org><mailto:dev@spark.apache.org<mailto:dev@spark.apache.org>><mailto:
>>>> dev@spark.apache.org<mailto:dev@spark.apache.org><mailto:dev@spark.apache.org<mailto:dev@spark.apache.org>>>
>>>> Subject: Re: Using CUDA within Spark / boosting linear algebra
>>>>
>>>> I'd expect that we can make GPU-accelerated BLAS faster than CPU blas in
>>>> many cases.
>>>>
>>>> You might consider taking a look at the codepaths that BIDMat (
>>>> https://github.com/BIDData/BIDMat) takes and comparing them to
>>>> netlib-java/breeze. John Canny et. al. have done a bunch of work optimizing
>>>> to make this work really fast from Scala. I've run it on my laptop and
>>>> compared to MKL and in certain cases it's 10x faster at matrix multiply.
>>>> There are a lot of layers of indirection here and you really want to avoid
>>>> data copying as much as possible.
>>>>
>>>> We could also consider swapping out BIDMat for Breeze, but that would be
>>>> a big project and if we can figure out how to get breeze+cublas to
>>>> comparable performance that would be a big win.
>>>>
>>>> On Thu, Feb 5, 2015 at 11:55 AM, Ulanov, Alexander <
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>><mailto:
>>>> alexander.ula...@hp.com<mailto:alexander.ula...@hp.com><mailto:alexander.ula...@hp.com<mailto:alexander.ula...@hp.com>>>>
>>>>  wrote:
>>>> Dear Spark developers,
>>>>
>>>> I am exploring how to make linear algebra operations faster within Spark.
>>>> One way of doing this is to use Scala Breeze library that is bundled with
>>>> Spark. For matrix operations, it employs Netlib-java that has a Java
>>>> wrapper for BLAS (basic linear algebra subprograms) and LAPACK native
>>>> binaries if they are available on the worker node. It also has its own
>>>> optimized Java implementation of BLAS. It is worth mentioning, that native
>>>> binaries provide better performance only for BLAS level 3, i.e.
>>>> matrix-matrix operations or general matrix multiplication (GEMM). This is
>>>> confirmed by GEMM test on Netlib-java page
>>>> https://github.com/fommil/netlib-java. I also confirmed it with my
>>>> experiments with training of artificial neural network
>>>> https://github.com/apache/spark/pull/1290#issuecomment-70313952.
>>>> However, I would like to boost performance more.
>>>>
>>>> GPU is supposed to work fast with linear algebra and there is Nvidia CUDA
>>>> implementation of BLAS, called cublas. I have one Linux server with Nvidia
>>>> GPU and I was able to do the following. I linked cublas (instead of
>>>> cpu-based blas) with Netlib-java wrapper and put it into Spark, so
>>>> Breeze/Netlib is using it. Then I did some performance measurements with
>>>> regards to artificial neural network batch learning in Spark MLlib that
>>>> involves matrix-matrix multiplications. It turns out that for matrices of
>>>> size less than ~1000x780 GPU cublas has the same speed as CPU blas. Cublas
>>>> becomes slower for bigger matrices. It worth mentioning that it is was not
>>>> a test for ONLY multiplication since there are other operations involved.
>>>> One of the reasons for slowdown might be the overhead of copying the
>>>> matrices from computer memory to graphic card memory and back.
>>>>
>>>> So, few questions:
>>>> 1) Do these results with CUDA make sense?
>>>> 2) If the problem is with copy overhead, are there any libraries that
>>>> allow to force intermediate results to stay in graphic card memory thus
>>>> removing the overhead?
>>>> 3) Any other options to speed-up linear algebra in Spark?
>>>>
>>>> Thank you, Alexander
>>>>
>>>> ---------------------------------------------------------------------
>>>> To unsubscribe, e-mail: 
>>>> dev-unsubscr...@spark.apache.org<mailto:dev-unsubscr...@spark.apache.org><mailto:
>>>> dev-unsubscr...@spark.apache.org<mailto:dev-unsubscr...@spark.apache.org>><mailto:dev-unsubscr...@spark.apache.org<mailto:dev-unsubscr...@spark.apache.org>
>>>> <mailto:dev-unsubscr...@spark.apache.org<mailto:dev-unsubscr...@spark.apache.org>>>
>>>> For additional commands, e-mail: 
>>>> dev-h...@spark.apache.org<mailto:dev-h...@spark.apache.org><mailto:
>>>> dev-h...@spark.apache.org<mailto:dev-h...@spark.apache.org>><mailto:dev-h...@spark.apache.org<mailto:dev-h...@spark.apache.org><mailto:
>>>> dev-h...@spark.apache.org<mailto:dev-h...@spark.apache.org>>>
>>>>
>>>>
>>>>
>>>>
>>>

-- 
Best regards,
Sam

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