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log regression formula update

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vik
2017-11-15 13:26:45 +01:00
parent c21a0681d0
commit 8e6f17f036
1 changed files with 14 additions and 3 deletions
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17
logistic_regression/logistic_regression.ipynb
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@@ -13,6 +13,10 @@
"\n", "\n",
"$$ w^T x = w_0 + w_1x_1 + w_2x_2 + w_3x_3 $$\n", "$$ w^T x = w_0 + w_1x_1 + w_2x_2 + w_3x_3 $$\n",
"\n", "\n",
"$$ w^Tx = \\sum^n_{i=1}{w_i \\cdot x_i} $$\n",
"\n",
"$$ \\sigma = \\frac{1}{1 + e^{-w^T}} $$\n",
"\n",
"$$ P(y|x) = σ(w^Tx) $$\n", "$$ P(y|x) = σ(w^Tx) $$\n",
"\n", "\n",
"## Given data:\n", "## Given data:\n",
@@ -133,7 +137,7 @@
"plt.show()\n", "plt.show()\n",
"\n", "\n",
"plt.plot(x, np.log(fn(x)))\n", "plt.plot(x, np.log(fn(x)))\n",
"plt.show()\n" "plt.show()"
] ]
}, },
{ {
@@ -213,7 +217,7 @@
"labels = np.hstack((np.zeros(num_observations), np.ones(num_observations)))\n", "labels = np.hstack((np.zeros(num_observations), np.ones(num_observations)))\n",
"plt.figure(figsize=(12, 8))\n", "plt.figure(figsize=(12, 8))\n",
"plt.scatter(features[:,0], features[:,1], alpha=.4, c=labels)\n", "plt.scatter(features[:,0], features[:,1], alpha=.4, c=labels)\n",
"plt.show()\n" "plt.show()"
] ]
}, },
{ {
@@ -375,8 +379,15 @@
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.6.1" "version": "3.6.1"
},
"latex_envs": {
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 0
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 2 "nbformat_minor": 1
} }