Skip to content

Instantly share code, notes, and snippets.

@konabe
Created March 9, 2018 09:14
Show Gist options
  • Save konabe/d4157faf64408851ed4812b968d4404e to your computer and use it in GitHub Desktop.
Save konabe/d4157faf64408851ed4812b968d4404e to your computer and use it in GitHub Desktop.
visualizations of softmax function
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 95,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmsAAAGjCAYAAABzH1KgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26d18c82668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x1 = np.linspace(-5, 5, 20)\n",
"x2 = np.linspace(5, -5, 20)\n",
"\n",
"def softmax(x1, x2, which):\n",
" if which==1:\n",
" return np.exp(x1) / (np.exp(x1) + np.exp(x2))\n",
" if which==2:\n",
" return np.exp(x2) / (np.exp(x1) + np.exp(x2))\n",
"\n",
"X1, X2 = np.meshgrid(x1, x2)\n",
"Z1 = softmax(X1, X2, which=1)\n",
"Z2 = softmax(X1, X2, which=2)\n",
"\n",
"fig = plt.figure()\n",
"ax = Axes3D(fig)\n",
"ax.plot_surface(X1, X2, Z2, rstride=2, cstride=1)\n",
"ax.set_xlabel('x1')\n",
"ax.set_ylabel('x2')\n",
"ax.set_xlim(-5, 5)\n",
"ax.set_ylim(-5, 5)\n",
"ax.set_title('softmax function')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x26d1d573198>]"
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fixed = -5\n",
"x2 = np.repeat(fixed, 20)\n",
"\n",
"plt.plot(x1, softmax(x1, x2, which=1), label='$x_1=-5$')"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x26d1d573a58>]"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fixed = 0\n",
"x2 = np.repeat(fixed, 20)\n",
"\n",
"plt.plot(x1, softmax(x1, x2, which=1), label='$x_1=0$')"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAGHCAYAAADGJeoHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26d13f8f400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fixed = 5\n",
"x2 = np.repeat(fixed, 20)\n",
"\n",
"plt.plot(x1, softmax(x1, x2, which=1), label='$x_1= +5$')\n",
"plt.xlim(-5, 5)\n",
"plt.xlabel('x2')\n",
"plt.title('softmax func')\n",
"plt.legend()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment