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{
"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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" element.onload = on_load;\n",
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" element.src = url;\n",
" console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
" document.head.appendChild(element);\n",
" }\n",
"\tif (!js_urls.length) {\n",
" on_load()\n",
" }\n",
" };\n",
"\n",
" function inject_raw_css(css) {\n",
" const element = document.createElement(\"style\");\n",
" element.appendChild(document.createTextNode(css));\n",
" document.body.appendChild(element);\n",
" }\n",
"\n",
" var js_urls = [\"https://cdn.jsdelivr.net/npm/deck.gl@8.1.12/dist.min.js\", \"https://cdn.jsdelivr.net/npm/@deck.gl/json@8.1.12/dist.min.js\", \"https://cdn.jsdelivr.net/npm/@loaders.gl/csv@2.0.2/dist/dist.min.js\", \"https://cdn.jsdelivr.net/npm/@loaders.gl/json@2.0.2/dist/dist.min.js\", \"https://cdn.jsdelivr.net/npm/@loaders.gl/3d-tiles@2.0.2/dist/dist.min.js\", \"https://api.mapbox.com/mapbox-gl-js/v1.7.0/mapbox-gl.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-2.2.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.2.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.2.3.min.js\", \"https://unpkg.com/@holoviz/panel@^0.10.3/dist/panel.min.js\"];\n",
" var css_urls = [\"https://api.mapbox.com/mapbox-gl-js/v1.7.0/mapbox-gl.css\", \"https://unpkg.com/@holoviz/panel@0.10.3/dist/css/card.css\", \"https://unpkg.com/@holoviz/panel@0.10.3/dist/css/json.css\", \"https://unpkg.com/@holoviz/panel@0.10.3/dist/css/markdown.css\", \"https://unpkg.com/@holoviz/panel@0.10.3/dist/css/widgets.css\", \"https://unpkg.com/@holoviz/panel@0.10.3/dist/css/alerts.css\", \"https://unpkg.com/@holoviz/panel@0.10.3/dist/css/dataframe.css\"];\n",
"\n",
" var inline_js = [\n",
" function(Bokeh) {\n",
" inject_raw_css(\"\\n.dataframe table{\\n border: none;\\n}\\n\\n.panel-df table{\\n width: 100%;\\n border-collapse: collapse;\\n border: none;\\n}\\n.panel-df td{\\n white-space: nowrap;\\n overflow: auto;\\n text-overflow: ellipsis;\\n}\\n\");\n",
" },\n",
" function(Bokeh) {\n",
" inject_raw_css(\"\\n.multi-select{\\n color: white;\\n z-index: 100;\\n background: rgba(44,43,43,0.5);\\n border-radius: 1px;\\n width: 120px !important;\\n height: 30px !important;\\n}\\n.multi-select > .bk {\\n padding: 5px;\\n width: 120px !important;\\n height: 30px !important;\\n}\\n\\n.deck-chart {\\n z-index: 10;\\n position: initial !important;\\n}\\n\");\n",
" },\n",
" function(Bokeh) {\n",
" inject_raw_css(\"\\n .indicator {\\n text-align: center;\\n }\\n \");\n",
" },\n",
" function(Bokeh) {\n",
" inject_raw_css(\"\\n .indicator {\\n text-align: center;\\n }\\n \");\n",
" },\n",
" function(Bokeh) {\n",
" Bokeh.set_log_level(\"info\");\n",
" },\n",
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" factory(root[\"Bokeh\"]);\n",
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" return (function outer(modules, entry) {\n",
" if (Bokeh != null) {\n",
" return Bokeh.register_plugin(modules, entry);\n",
" } else {\n",
" throw new Error(\"Cannot find Bokeh. You have to load it prior to loading plugins.\");\n",
" }\n",
" })\n",
" ({\n",
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" var models = {\n",
" \"CustomInspectTool\": require(\"custom/cuxfilter.charts.datashader.custom_extensions.graph_inspect_widget.custom_inspect_tool\").CustomInspectTool\n",
" };\n",
" require(\"base\").register_models(models);\n",
" module.exports = models;\n",
" },\n",
" \"custom/cuxfilter.charts.datashader.custom_extensions.graph_inspect_widget.custom_inspect_tool\": function(require, module, exports) {\n",
" \"use strict\";\n",
" var __importStar = (this && this.__importStar) || function (mod) {\n",
" if (mod && mod.__esModule) return mod;\n",
" var result = {};\n",
" if (mod != null) for (var k in mod) if (Object.hasOwnProperty.call(mod, k)) result[k] = mod[k];\n",
" result[\"default\"] = mod;\n",
" return result;\n",
" };\n",
" Object.defineProperty(exports, \"__esModule\", { value: true });\n",
" const inspect_tool_1 = require(\"models/tools/inspectors/inspect_tool\");\n",
" const p = __importStar(require(\"core/properties\"));\n",
" class CustomInspectToolView extends inspect_tool_1.InspectToolView {\n",
" connect_signals() {\n",
" super.connect_signals();\n",
" this.connect(this.model.properties.active.change, () => {\n",
" this.model._active = this.model.properties.active.spec.value;\n",
" });\n",
" }\n",
" }\n",
" exports.CustomInspectToolView = CustomInspectToolView;\n",
" CustomInspectToolView.__name__ = \"CustomInspectToolView\";\n",
" class CustomInspectTool extends inspect_tool_1.InspectTool {\n",
" constructor(attrs) {\n",
" super(attrs);\n",
" }\n",
" static init_CustomInspectTool() {\n",
" this.prototype.default_view = CustomInspectToolView;\n",
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" _active: [p.Instance],\n",
" icon: [p.String],\n",
" tool_name: [p.String]\n",
" });\n",
" }\n",
" }\n",
" exports.CustomInspectTool = CustomInspectTool;\n",
" CustomInspectTool.__name__ = \"CustomInspectTool\";\n",
" CustomInspectTool.init_CustomInspectTool();\n",
" //# sourceMappingURL=graph_inspect_widget.py:CustomInspectTool.js.map\n",
" }\n",
" }, \"custom/main\");\n",
" ;\n",
" });\n",
"\n",
" },\n",
" function(Bokeh) {} // ensure no trailing comma for IE\n",
" ];\n",
"\n",
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" if ((root.Bokeh !== undefined) || (force === true)) {\n",
" for (var i = 0; i < inline_js.length; i++) {\n",
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" }} else if (Date.now() < root._bokeh_timeout) {\n",
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" } else {\n",
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" console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
" run_inline_js();\n",
" });\n",
" }\n",
"}(window));"
],
"application/vnd.holoviews_load.v0+json": "\n(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n\n if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n root._bokeh_onload_callbacks = [];\n root._bokeh_is_loading = undefined;\n }\n\n if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n\n root._bokeh_onload_callbacks.push(callback);\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls == null || js_urls.length === 0) {\n run_callbacks();\n return null;\n }\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n\n function on_error() {\n console.error(\"failed to load \" + url);\n }\n\n for (var i = 0; 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