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bearpaw/data_preprocessing.ipynb

Last active March 10, 2017 01:47
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Import numpy and matplotlib library
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data_preprocessing.ipynb
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weight_initialization_relu.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Weight initialization example: ReLU\n",
"A sample example demonstrate [Xavier initialization](http://jmlr.org/proceedings/papers/v9/glorot10a/glorot10a.pdf) vs. [MSR initialization](https://arxiv.org/abs/1502.01852) with ReLU activation function.\n",
"\n",
"### Step 1: Generate dummy dataset and build a plain model"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"require 'torch'\n",
"require 'nn'\n",
"Plot = require 'itorch.Plot'\n",
"\n",
"-- Create fake dataset\n",
"x = torch.Tensor(10, 50):uniform(-1, 1)\n",
"\n",
"-- Build model\n",
"model = nn.Sequential()\n",
" :add(nn.Linear(50, 500))\n",
" :add(nn.ReLU(true))\n",
"\n",
"for i = 2,20 do\n",
" model:add(nn.Linear(500, 500))\n",
" :add(nn.ReLU(true))\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Step 2: Use Xavier method to initialize the weights. Plot the activation of each ReLU layer."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#90ac4a97-417d-4903-c98b-ed9a675d4918\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#90ac4a97-417d-4903-c98b-ed9a675d4918\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"0f817134-8a06-4a03-ca81-ef30cfe9a750\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#90ac4a97-417d-4903-c98b-ed9a675d4918\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#90ac4a97-417d-4903-c98b-ed9a675d4918\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"22748664-18c5-491a-c983-aa6519a2cf3d\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#90ac4a97-417d-4903-c98b-ed9a675d4918\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#90ac4a97-417d-4903-c98b-ed9a675d4918\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"edb83bf6-05e3-44b6-c4a2-4de8e78dc2eb\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#54fb40ed-43a2-470e-c73d-0ef9f3665fbd\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#54fb40ed-43a2-470e-c73d-0ef9f3665fbd\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"fb1c0a8c-3974-4ba7-cb54-d027d9fce98f\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#54fb40ed-43a2-470e-c73d-0ef9f3665fbd\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#54fb40ed-43a2-470e-c73d-0ef9f3665fbd\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"1f4bd097-4ffe-4fdd-cf4e-0f2c2a6b99f4\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#54fb40ed-43a2-470e-c73d-0ef9f3665fbd\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#54fb40ed-43a2-470e-c73d-0ef9f3665fbd\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"6df259df-00d6-4c1d-cc95-9a45b54cc3c1\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#8524d7ff-26bb-47ea-c79d-84963ca7d69f\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#8524d7ff-26bb-47ea-c79d-84963ca7d69f\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"621fe168-14ef-4273-c28b-8b87a11b42a0\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#8524d7ff-26bb-47ea-c79d-84963ca7d69f\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#8524d7ff-26bb-47ea-c79d-84963ca7d69f\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"a4f4fb32-1312-428a-c2e8-29e420e2b269\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#8524d7ff-26bb-47ea-c79d-84963ca7d69f\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#8524d7ff-26bb-47ea-c79d-84963ca7d69f\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"ef639ed0-79d7-47b1-c7a9-72b14a17c566\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#dfcb2093-dab2-406a-c037-c5acb2c9087c\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#dfcb2093-dab2-406a-c037-c5acb2c9087c\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"e60871d9-a5a5-4b46-cbe4-21f392c55cc4\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#dfcb2093-dab2-406a-c037-c5acb2c9087c\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#dfcb2093-dab2-406a-c037-c5acb2c9087c\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"d58eb0af-36cc-4ca7-cc91-07b7c5b4236c\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#dfcb2093-dab2-406a-c037-c5acb2c9087c\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#dfcb2093-dab2-406a-c037-c5acb2c9087c\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"c4ed0338-7dec-4521-c59b-f38ca5145ee8\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#ec0c0876-9125-4495-c44e-5acab49a8107\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#ec0c0876-9125-4495-c44e-5acab49a8107\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"30fd2ddb-c8f7-46ca-c670-6aa25554c6fb\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#ec0c0876-9125-4495-c44e-5acab49a8107\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#ec0c0876-9125-4495-c44e-5acab49a8107\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"06246f87-f902-4754-c7d0-feed166f7c0b\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#ec0c0876-9125-4495-c44e-5acab49a8107\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#ec0c0876-9125-4495-c44e-5acab49a8107\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"16d83f8d-39f0-4a97-ca67-231560a0e5a5\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#8d023e15-7372-48e5-c830-3a7001776575\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#8d023e15-7372-48e5-c830-3a7001776575\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"31ce6003-224f-4a0a-ca5a-f6bc2a8e3721\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#8d023e15-7372-48e5-c830-3a7001776575\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#8d023e15-7372-48e5-c830-3a7001776575\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"1ce97f20-55b2-42f3-c27d-d8df55e6fe33\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#8d023e15-7372-48e5-c830-3a7001776575\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#8d023e15-7372-48e5-c830-3a7001776575\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"c994c6c4-e2b1-46f6-c6c8-d7a0d2dbd9a0\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#1a13b046-00f2-4670-c642-c947fb826700\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#1a13b046-00f2-4670-c642-c947fb826700\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"8ceb84a2-d64a-4f4a-cf0f-8c3d6385164a\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#1a13b046-00f2-4670-c642-c947fb826700\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#1a13b046-00f2-4670-c642-c947fb826700\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"9353f310-3aa9-44f7-c459-37e50d6ec415\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#1a13b046-00f2-4670-c642-c947fb826700\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#1a13b046-00f2-4670-c642-c947fb826700\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"61b670da-8132-48d1-c8b1-0b6ea925446d\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#ef2df7b9-1da9-4e85-ce01-aa19fe54735b\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#ef2df7b9-1da9-4e85-ce01-aa19fe54735b\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"37e1bc35-f939-476a-c7b7-b724053bbd50\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#ef2df7b9-1da9-4e85-ce01-aa19fe54735b\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#ef2df7b9-1da9-4e85-ce01-aa19fe54735b\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"27b9e0a9-a2f7-4d4b-cde9-bcaa9c076652\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#ef2df7b9-1da9-4e85-ce01-aa19fe54735b\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#ef2df7b9-1da9-4e85-ce01-aa19fe54735b\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"41f7443f-7a38-4d11-cd6c-ea0d9f43b95d\";\n",
" var modeltype = \"Plot\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#c5d46025-c246-442d-c4dc-f4899baf9306\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#c5d46025-c246-442d-c4dc-f4899baf9306\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"0dfbfb7e-3a19-45ac-c541-4494c15d8b14\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#c5d46025-c246-442d-c4dc-f4899baf9306\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#c5d46025-c246-442d-c4dc-f4899baf9306\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"f4b71275-b8fb-46b7-c6e7-f841b57b9486\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#c5d46025-c246-442d-c4dc-f4899baf9306\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#c5d46025-c246-442d-c4dc-f4899baf9306\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"a8dc7672-83d7-4d11-cd89-0640118c11e5\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"df91e469-81e5-4abc-ca87-d1a8c9b622be\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"f4489a9c-afbf-4979-c945-f604e447f979\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\"});\n",
" } else {\n",
" load_lib(bokehjs_url, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", new Date())\n",
" var modelid = \"59e96a8e-fbd0-4c61-cc41-36c64cd1b7fe\";\n",
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" Bokeh.load_models(all_models);\n",
" var model = Bokeh.Collections(modeltype).get(modelid);\n",
" $(\"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\").html(''); // clear any previous plot in window_id\n",
" var view = new model.default_view({model: model, el: \"#3fd18432-8ab0-46fb-c64b-f5395079e4a9\"});\n",
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"});\n",
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],
"source": [
"-- Xavier initialization\n",
"for k,v in pairs(model:findModules('nn.Linear')) do\n",
" local n = v.weight:size(1)\n",
" v.weight:uniform(-math.sqrt(3/n),math.sqrt(3/n))\n",
"end\n",
"\n",
"model:forward(x)\n",
"\n",
"-- Plot histogram of activations\n",
"for i = 2, 20, 2 do\n",
" out = model.modules[i].output\n",
" plot = Plot():histogram(out, 100, 0, 1):draw()\n",
" plot:title(('Activation histogram: Layer %d'):format(i/2)):redraw()\n",
" plot:xaxis('Value'):yaxis('Number'):redraw()\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Step 3: Use MSR method to initialize the weights. Plot the activation of each ReLU layer."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
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