dask-array-dot.ipynb

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    "<img src=\"http://dask.readthedocs.io/en/latest/_images/dask_horizontal.svg\"\n",
    "     align=\"right\"\n",
    "     width=\"30%\">\n",
    "\n",
    "Example using Dask.array to generate Dask graphs\n",
    "=============================\n",
    "\n",
    "This example builds intuition about block parallel algorithms for nd-arrays and how dask works by visualizing dask.array algorithms for increasingly complex computations.\n",
    "\n",
    "It tends to be a bit nicer to do with a side-by-side terminal and PDF viewer that auto-refreshes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dask.array looks and feels like NumPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
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   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import dask.array as da"
   ]
  },
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       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
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   ],
   "source": [
    "np.arange(10)"
   ]
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       "dask.array<arange-..., shape=(10,), dtype=int64, chunksize=(5,)>"
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   "source": [
    "da.arange(10, chunks=5)"
   ]
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       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
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    "da.arange(10, chunks=5).compute()"
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   "source": [
    "### 1D array of ones\n",
    "\n",
    "This breaks up an array of 15 ones into three blocks, each of size 5\n",
    "\n",
    "If doing this in the terminal add an appropriate filename to the `visualize` call like so\n",
    "\n",
    "    x.visualize('dask.pdf')"
   ]
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     "execution_count": 7,
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   "source": [
    "(x + 1).sum().visualize('dask.svg')"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2d array yields more interesting graphs\n",
    "\n",
    "This is a 15x15 array of ones, broken up into a 3x3 grid of blocks.  Each block has size 5x5."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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     "execution_count": 11,
     "metadata": {},
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   "source": [
    "# this one is fun to guess before you render it to the screen\n",
    "\n",
    "(x + x.T).visualize('dask.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
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    "# Now we just start showing off\n",
    "(x.dot(x.T)).visualize('dask.svg')"
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   "execution_count": 13,
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   "source": [
    "# Now we just start showing off\n",
    "(x.dot(x.T + 1)).visualize('dask.svg')"
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   "execution_count": 14,
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   "source": [
    "# Now we just start showing off\n",
    "(x.dot(x.T + 1) - x.mean(axis=0)).visualize('dask.svg')"
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   "cell_type": "code",
   "execution_count": 15,
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