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Cell1112.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Candidate pruning and embedding in fixed length vectors\n",
"\n",
"In a later stage we intend to train a Variational Autoencoder (VAE) with fixed-length input and thus the heartbeats must be embedded in a data matrix of fixed shape. According to the histogram the majority of length is somewhere in the range between 100 and 250. The embedding is accomplished with Numba kernel. A warp of 32 consecutive threads works on each heartbeat. The first thread in a warp (leader) checks if the heartbeat exhibits a valid length and increments a row counter in an atomic manner to determine the output row in the data matrix. Subsequently, the target row is communicated to the remaining 31 threads in the warp using the warp-intrinsic shfl_sync (broadcast). In a final step, we (re-)use the threads in the warp to write the values to the output row in the data matrix in a warp-cyclic fashion (warp-stride loop). Finally, we plot a few of the zero-embedded heartbeats and observe approximate alignment of the QRS complex -- exactly what we wanted to achieve."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"removed 3.3824004429883274 percent of the candidates\n"
]
}
],
"source": [
"@cuda.jit\n",
"def zero_padding_kernel(signal, indices, counter, lower, upper, out):\n",
" \"\"\"using warp intrinsics to speedup the calcuation\"\"\"\n",
" \n",
" for candidate in range(cuda.blockIdx.x, indices.shape[0]-1, cuda.gridDim.x):\n",
" length = indices[candidate+1]-indices[candidate]\n",
" \n",
" # warp-centric: 32 threads process one signal\n",
" if lower <= length <= upper:\n",
" \n",
" entry = 0\n",
" if cuda.threadIdx.x == 0:\n",
" # here we select in thread 0 what will be the target row\n",
" entry = cuda.atomic.add(counter, 0, 1)\n",
" \n",
" # broadcast the target row to all other threads \n",
" # all 32 threads (warp) know the value\n",
" entry = cuda.shfl_sync(0xFFFFFFFF, entry, 0) \n",
" \n",
" for index in range(cuda.threadIdx.x, upper, 32): \n",
" out[entry, index] = signal[indices[candidate]+index] if index < length else 0.0\n",
" \n",
"def zero_padding_numba(signal, indices, lengths, lower=100, upper=256):\n",
" \n",
" mask = (lower <= lengths) * (lengths <= upper)\n",
" num_entries = int(cp.sum(mask))\n",
" \n",
" out = cp.empty((num_entries, upper), dtype=signal.dtype)\n",
" counter = cp.zeros(1).astype(cp.int64)\n",
" zero_padding_kernel[80*32, 32](signal, indices, counter, lower, upper, out) \n",
" cuda.synchronize()\n",
" \n",
" print(\"removed\", 100-100*num_entries/len(lengths), \"percent of the candidates\")\n",
" \n",
" return out\n",
"\n",
"# let's prune the short and long segments (heartbeats) and normalize them\n",
"data_cupy = zero_padding_numba(heartbeats_cupy, indices_cupy, lengths_cupy, lower=100, upper=256) "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
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" }\n",
"}(window));"
],
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