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@shaan-shah
Created September 14, 2020 17:24
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{
"cells": [
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"correcti=0\n",
"list_down=[]\n",
"list_up=[]\n",
"for i in range(len(data.valid_ds)):\n",
" prediction=learn.predict(data.valid_ds[i][0])\n",
" if str(data.valid_ds[i][1])==\"Down\" and bool(prediction[1]==0) :\n",
" correcti=correcti+1\n",
" if prediction[2][0] >= 0.75 :\n",
" list_down=list_down + [i]\n",
" #print(prediction)\n",
" #print()\n",
" if str(data.valid_ds[i][1])==\"Up\" and bool(prediction[1]==1) :\n",
" correcti=correcti+1\n",
" if prediction[2][1] >= 0.75 :\n",
" list_up=list_up + [i]\n",
" #print(prediction)\n",
" #print()\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"(29, 45)"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(list_down),len(list_up)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1> Finding the patterns </h1>"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Up\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 216x216 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"idx=233\n",
"x,y = data.valid_ds[idx]\n",
"x.show()\n",
"print(data.valid_ds.y[idx])"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"xb,_ = data.one_item(x)\n",
"xb_im = Image(data.denorm(xb)[0])\n",
"xb = xb.cuda()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"m = learn.model.eval()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"from fastai.callbacks.hooks import *"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"def hooked_backward(cat=y):\n",
" with hook_output(m[0]) as hook_a: \n",
" with hook_output(m[0], grad=True) as hook_g:\n",
" preds = m(xb)\n",
" preds[0,int(cat)].backward()\n",
" return hook_a,hook_g"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"hook_a,hook_g = hooked_backward()"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([512, 11, 11])"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acts = hook_a.stored[0].cpu()\n",
"acts.shape"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([11, 11])"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"avg_acts = acts.mean(0)\n",
"avg_acts.shape"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"def show_heatmap(hm):\n",
" fig,ax = plt.subplots()\n",
" xb_im.show(ax)\n",
" ax.imshow(hm, alpha=0.6, extent=(0,352,352,0),\n",
" interpolation='bilinear', cmap='magma');\n",
" return fig"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"answer=show_heatmap(avg_acts)\n",
"answer.savefig(path/'trial.png')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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